TSTP Solution File: ITP269^3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP269^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n032.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 17:13:41 EDT 2024
% Result : Theorem 13.98s 14.25s
% Output : Proof 14.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 4.26/4.29 % Problem : ITP269^3 : TPTP v8.2.0. Released v8.1.0.
% 4.26/4.31 % Command : do_cvc5 %s %d
% 4.31/4.51 % Computer : n032.cluster.edu
% 4.31/4.51 % Model : x86_64 x86_64
% 4.31/4.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 4.31/4.51 % Memory : 8042.1875MB
% 4.31/4.51 % OS : Linux 3.10.0-693.el7.x86_64
% 4.31/4.51 % CPULimit : 300
% 4.31/4.51 % WCLimit : 300
% 4.31/4.51 % DateTime : Sun May 26 02:04:28 EDT 2024
% 4.31/4.51 % CPUTime :
% 11.46/11.71 %----Proving TH0
% 13.98/14.25 --- Run --ho-elim --full-saturate-quant at 10...
% 13.98/14.25 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.GLeBxRycP2/cvc5---1.0.5_16365.smt2
% 13.98/14.25 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.GLeBxRycP2/cvc5---1.0.5_16365.smt2
% 13.98/14.25 (assume a0 (= tptp.deg (@ (@ tptp.plus_plus_nat tptp.na) tptp.m)))
% 13.98/14.25 (assume a1 (forall ((X tptp.nat) (D tptp.nat)) (= (@ (@ (@ tptp.vEBT_VEBT_bit_concat (@ (@ tptp.vEBT_VEBT_high X) D)) (@ (@ tptp.vEBT_VEBT_low X) D)) D) X)))
% 13.98/14.25 (assume a2 (@ (@ tptp.ord_less_nat tptp.ma) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)))
% 13.98/14.25 (assume a3 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat A) B))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))))
% 13.98/14.25 (assume a4 (= tptp.vEBT_VEBT_high (lambda ((X2 tptp.nat) (N tptp.nat)) (@ (@ tptp.divide_divide_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.25 (assume a5 (forall ((Ma tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat Ma) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat N2) M))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Ma) N2)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))))
% 13.98/14.25 (assume a6 (= (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))
% 13.98/14.25 (assume a7 (forall ((X tptp.nat) (N2 tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) X)) N2) Y))))
% 13.98/14.25 (assume a8 (forall ((X tptp.nat) (N2 tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) X)) N2) X))))
% 13.98/14.25 (assume a9 (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))
% 13.98/14.25 (assume a10 (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) tptp.summin)) X_1)))
% 13.98/14.25 (assume a11 (= tptp.vEBT_VEBT_bit_concat (lambda ((H tptp.nat) (L tptp.nat) (D2 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) D2))) L))))
% 13.98/14.25 (assume a12 (@ (@ tptp.ord_less_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)))
% 13.98/14.25 (assume a13 (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)))
% 13.98/14.25 (assume a14 (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high tptp.ma) tptp.na))) (@ (@ tptp.vEBT_VEBT_low tptp.ma) tptp.na)))
% 13.98/14.25 (assume a15 (=> (not (and (=> (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))))) (=> (not (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)))) (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) tptp.na) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) I)) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) tptp.na))) (forall ((Y2 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high Y2) tptp.na) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) I)) (@ (@ tptp.vEBT_VEBT_low Y2) tptp.na))) (and (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) Y2) (@ (@ tptp.ord_less_eq_nat Y2) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))))))))))
% 13.98/14.25 (assume a16 (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))
% 13.98/14.25 (assume a17 (and (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))))
% 13.98/14.25 (assume a18 (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) X_1)))
% 13.98/14.25 (assume a19 (forall ((I2 tptp.nat)) (=> (and (not (= I2 (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.ord_less_nat I2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m))) (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) I2) (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) I2)))))
% 13.98/14.25 (assume a20 (not (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))
% 13.98/14.25 (assume a21 (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))))
% 13.98/14.25 (assume a22 (@ (@ tptp.ord_less_eq_nat tptp.mi) tptp.ma))
% 13.98/14.25 (assume a23 (= (@ tptp.size_s6755466524823107622T_VEBT tptp.treeList) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)))
% 13.98/14.25 (assume a24 (= (@ tptp.size_s6755466524823107622T_VEBT tptp.treeList) (@ tptp.size_s6755466524823107622T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))))
% 13.98/14.25 (assume a25 (forall ((M tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat M) M)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))
% 13.98/14.25 (assume a26 (=> (and (=> (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))))) (=> (not (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma))) (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12)))))))
% 13.98/14.25 (assume a27 (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ tptp.size_s6755466524823107622T_VEBT tptp.treeList)))
% 13.98/14.25 (assume a28 (@ (@ tptp.vEBT_invar_vebt (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) tptp.na))
% 13.98/14.25 (assume a29 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) (@ tptp.numeral_numeral_real W))) A) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W))))))
% 13.98/14.25 (assume a30 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.divide_divide_real B) (@ tptp.numeral_numeral_real W))) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W))) B))))
% 13.98/14.25 (assume a31 (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) I)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions tptp.summary) I)))))
% 13.98/14.25 (assume a32 (= (@ tptp.size_s6755466524823107622T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)))
% 13.98/14.25 (assume a33 (=> (not (= tptp.mi tptp.ma)) (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high tptp.ma) tptp.na) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) I)) (@ (@ tptp.vEBT_VEBT_low tptp.ma) tptp.na))) (forall ((Y2 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high Y2) tptp.na) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) I)) (@ (@ tptp.vEBT_VEBT_low Y2) tptp.na))) (and (@ (@ tptp.ord_less_nat tptp.mi) Y2) (@ (@ tptp.ord_less_eq_nat Y2) tptp.ma)))))))))
% 13.98/14.25 (assume a34 (forall ((T tptp.vEBT_VEBT)) (=> (not (@ tptp.vEBT_VEBT_minNull T)) (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions T) X_1)))))
% 13.98/14.25 (assume a35 (@ (@ tptp.vEBT_invar_vebt tptp.summary) tptp.m))
% 13.98/14.25 (assume a36 (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 tptp.treeList)) (and (@ (@ tptp.vEBT_invar_vebt X3) tptp.na) (forall ((Xa tptp.nat)) (@ (@ tptp.vEBT_invar_vebt (@ (@ tptp.vEBT_vebt_delete X3) Xa)) tptp.na))))))
% 13.98/14.25 (assume a37 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.vEBT_vebt_delete T) X)) Y) (and (not (= X Y)) (@ (@ tptp.vEBT_V8194947554948674370ptions T) Y))))))
% 13.98/14.25 (assume a38 (= tptp.vEBT_VEBT_min_in_set (lambda ((Xs tptp.set_nat) (X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) Xs) (forall ((Y3 tptp.nat)) (=> (@ (@ tptp.member_nat Y3) Xs) (@ (@ tptp.ord_less_eq_nat X2) Y3)))))))
% 13.98/14.25 (assume a39 (= tptp.vEBT_VEBT_max_in_set (lambda ((Xs tptp.set_nat) (X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) Xs) (forall ((Y3 tptp.nat)) (=> (@ (@ tptp.member_nat Y3) Xs) (@ (@ tptp.ord_less_eq_nat Y3) X2)))))))
% 13.98/14.25 (assume a40 (=> (= tptp.mi tptp.ma) (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 tptp.treeList)) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12)))))))
% 13.98/14.25 (assume a41 (forall ((Xs2 tptp.list_real) (P (-> tptp.real Bool)) (N2 tptp.nat)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ tptp.set_real2 Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_real Xs2)) (@ P (@ (@ tptp.nth_real Xs2) N2))))))
% 13.98/14.25 (assume a42 (forall ((Xs2 tptp.list_complex) (P (-> tptp.complex Bool)) (N2 tptp.nat)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ tptp.set_complex2 Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s3451745648224563538omplex Xs2)) (@ P (@ (@ tptp.nth_complex Xs2) N2))))))
% 13.98/14.25 (assume a43 (forall ((Xs2 tptp.list_P6011104703257516679at_nat) (P (-> tptp.product_prod_nat_nat Bool)) (N2 tptp.nat)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X5) (@ tptp.set_Pr5648618587558075414at_nat Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s5460976970255530739at_nat Xs2)) (@ P (@ (@ tptp.nth_Pr7617993195940197384at_nat Xs2) N2))))))
% 13.98/14.25 (assume a44 (forall ((Xs2 tptp.list_VEBT_VEBT) (P (-> tptp.vEBT_VEBT Bool)) (N2 tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ P (@ (@ tptp.nth_VEBT_VEBT Xs2) N2))))))
% 13.98/14.25 (assume a45 (forall ((Xs2 tptp.list_o) (P (-> Bool Bool)) (N2 tptp.nat)) (=> (forall ((X5 Bool)) (=> (@ (@ tptp.member_o X5) (@ tptp.set_o2 Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_o Xs2)) (@ P (@ (@ tptp.nth_o Xs2) N2))))))
% 13.98/14.25 (assume a46 (forall ((Xs2 tptp.list_nat) (P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) (@ tptp.set_nat2 Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_nat Xs2)) (@ P (@ (@ tptp.nth_nat Xs2) N2))))))
% 13.98/14.25 (assume a47 (forall ((Xs2 tptp.list_int) (P (-> tptp.int Bool)) (N2 tptp.nat)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ tptp.set_int2 Xs2)) (@ P X5))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_int Xs2)) (@ P (@ (@ tptp.nth_int Xs2) N2))))))
% 13.98/14.25 (assume a48 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.numera1916890842035813515d_enat M) (@ tptp.numera1916890842035813515d_enat N2)) (= M N2))))
% 13.98/14.25 (assume a49 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.numera6690914467698888265omplex M) (@ tptp.numera6690914467698888265omplex N2)) (= M N2))))
% 13.98/14.25 (assume a50 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.numeral_numeral_real M) (@ tptp.numeral_numeral_real N2)) (= M N2))))
% 13.98/14.25 (assume a51 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.numeral_numeral_nat M) (@ tptp.numeral_numeral_nat N2)) (= M N2))))
% 13.98/14.25 (assume a52 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.numeral_numeral_int M) (@ tptp.numeral_numeral_int N2)) (= M N2))))
% 13.98/14.25 (assume a53 (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 tptp.treeList)) (@ (@ tptp.vEBT_invar_vebt X3) tptp.na))))
% 13.98/14.25 (assume a54 (forall ((A tptp.int) (P (-> tptp.int Bool))) (= (@ (@ tptp.member_int A) (@ tptp.collect_int P)) (@ P A))))
% 13.98/14.25 (assume a55 (forall ((A tptp.product_prod_nat_nat) (P (-> tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.member8440522571783428010at_nat A) (@ tptp.collec3392354462482085612at_nat P)) (@ P A))))
% 13.98/14.25 (assume a56 (forall ((A tptp.complex) (P (-> tptp.complex Bool))) (= (@ (@ tptp.member_complex A) (@ tptp.collect_complex P)) (@ P A))))
% 13.98/14.25 (assume a57 (forall ((A tptp.real) (P (-> tptp.real Bool))) (= (@ (@ tptp.member_real A) (@ tptp.collect_real P)) (@ P A))))
% 13.98/14.25 (assume a58 (forall ((A tptp.list_nat) (P (-> tptp.list_nat Bool))) (= (@ (@ tptp.member_list_nat A) (@ tptp.collect_list_nat P)) (@ P A))))
% 13.98/14.25 (assume a59 (forall ((A tptp.nat) (P (-> tptp.nat Bool))) (= (@ (@ tptp.member_nat A) (@ tptp.collect_nat P)) (@ P A))))
% 13.98/14.25 (assume a60 (forall ((A2 tptp.set_int)) (= (@ tptp.collect_int (lambda ((X2 tptp.int)) (@ (@ tptp.member_int X2) A2))) A2)))
% 13.98/14.25 (assume a61 (forall ((A2 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.collec3392354462482085612at_nat (lambda ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X2) A2))) A2)))
% 13.98/14.25 (assume a62 (forall ((A2 tptp.set_complex)) (= (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.member_complex X2) A2))) A2)))
% 13.98/14.25 (assume a63 (forall ((A2 tptp.set_real)) (= (@ tptp.collect_real (lambda ((X2 tptp.real)) (@ (@ tptp.member_real X2) A2))) A2)))
% 13.98/14.25 (assume a64 (forall ((A2 tptp.set_list_nat)) (= (@ tptp.collect_list_nat (lambda ((X2 tptp.list_nat)) (@ (@ tptp.member_list_nat X2) A2))) A2)))
% 13.98/14.25 (assume a65 (forall ((A2 tptp.set_nat)) (= (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.member_nat X2) A2))) A2)))
% 13.98/14.25 (assume a66 (forall ((P (-> tptp.product_prod_nat_nat Bool)) (Q (-> tptp.product_prod_nat_nat Bool))) (=> (forall ((X5 tptp.product_prod_nat_nat)) (= (@ P X5) (@ Q X5))) (= (@ tptp.collec3392354462482085612at_nat P) (@ tptp.collec3392354462482085612at_nat Q)))))
% 13.98/14.25 (assume a67 (forall ((P (-> tptp.complex Bool)) (Q (-> tptp.complex Bool))) (=> (forall ((X5 tptp.complex)) (= (@ P X5) (@ Q X5))) (= (@ tptp.collect_complex P) (@ tptp.collect_complex Q)))))
% 13.98/14.25 (assume a68 (forall ((P (-> tptp.real Bool)) (Q (-> tptp.real Bool))) (=> (forall ((X5 tptp.real)) (= (@ P X5) (@ Q X5))) (= (@ tptp.collect_real P) (@ tptp.collect_real Q)))))
% 13.98/14.25 (assume a69 (forall ((P (-> tptp.list_nat Bool)) (Q (-> tptp.list_nat Bool))) (=> (forall ((X5 tptp.list_nat)) (= (@ P X5) (@ Q X5))) (= (@ tptp.collect_list_nat P) (@ tptp.collect_list_nat Q)))))
% 13.98/14.25 (assume a70 (forall ((P (-> tptp.nat Bool)) (Q (-> tptp.nat Bool))) (=> (forall ((X5 tptp.nat)) (= (@ P X5) (@ Q X5))) (= (@ tptp.collect_nat P) (@ tptp.collect_nat Q)))))
% 13.98/14.25 (assume a71 (forall ((X tptp.nat)) (@ (@ tptp.vEBT_invar_vebt (@ (@ tptp.vEBT_vebt_delete tptp.summary) X)) tptp.m)))
% 13.98/14.25 (assume a72 (@ (@ tptp.vEBT_invar_vebt (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) tptp.summin)) tptp.na))
% 13.98/14.25 (assume a73 (@ (@ tptp.vEBT_V8194947554948674370ptions tptp.summary) (@ (@ tptp.vEBT_VEBT_high tptp.ma) tptp.na)))
% 13.98/14.25 (assume a74 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.numera1916890842035813515d_enat M)) (@ tptp.numera1916890842035813515d_enat N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.25 (assume a75 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.25 (assume a76 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.25 (assume a77 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.25 (assume a78 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.numera1916890842035813515d_enat M)) (@ tptp.numera1916890842035813515d_enat N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.25 (assume a79 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.25 (assume a80 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.25 (assume a81 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.25 (assume a82 (forall ((V tptp.num) (W tptp.num) (Z tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat V)) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat W)) Z)) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.times_times_num V) W))) Z))))
% 13.98/14.25 (assume a83 (forall ((V tptp.num) (W tptp.num) (Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) Z)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num V) W))) Z))))
% 13.98/14.25 (assume a84 (forall ((V tptp.num) (W tptp.num) (Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) Z)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num V) W))) Z))))
% 13.98/14.25 (assume a85 (forall ((V tptp.num) (W tptp.num) (Z tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat V)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat W)) Z)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num V) W))) Z))))
% 13.98/14.25 (assume a86 (forall ((V tptp.num) (W tptp.num) (Z tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int W)) Z)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num V) W))) Z))))
% 13.98/14.25 (assume a87 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat M)) (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.25 (assume a88 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.25 (assume a89 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.25 (assume a90 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.25 (assume a91 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.25 (assume a92 (forall ((V tptp.num) (W tptp.num) (Z tptp.extended_enat)) (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat V)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat W)) Z)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.plus_plus_num V) W))) Z))))
% 13.98/14.25 (assume a93 (forall ((V tptp.num) (W tptp.num) (Z tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex W)) Z)) (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num V) W))) Z))))
% 13.98/14.25 (assume a94 (forall ((V tptp.num) (W tptp.num) (Z tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real V)) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real W)) Z)) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num V) W))) Z))))
% 13.98/14.25 (assume a95 (forall ((V tptp.num) (W tptp.num) (Z tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat V)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat W)) Z)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num V) W))) Z))))
% 13.98/14.25 (assume a96 (forall ((V tptp.num) (W tptp.num) (Z tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int V)) (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int W)) Z)) (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num V) W))) Z))))
% 13.98/14.25 (assume a97 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat M)) (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.25 (assume a98 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.25 (assume a99 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.25 (assume a100 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.25 (assume a101 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.25 (assume a102 (forall ((N2 tptp.num)) (= (@ (@ tptp.times_times_num (@ tptp.bit0 tptp.one)) N2) (@ tptp.bit0 N2))))
% 13.98/14.25 (assume a103 (and (@ (@ tptp.ord_less_eq_nat tptp.mi) tptp.ma) (@ (@ tptp.ord_less_nat tptp.ma) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))))
% 13.98/14.25 (assume a104 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (V tptp.num)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) B)) (@ tptp.numera1916890842035813515d_enat V)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.times_7803423173614009249d_enat A) (@ tptp.numera1916890842035813515d_enat V))) (@ (@ tptp.times_7803423173614009249d_enat B) (@ tptp.numera1916890842035813515d_enat V))))))
% 13.98/14.25 (assume a105 (forall ((A tptp.complex) (B tptp.complex) (V tptp.num)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) B)) (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) (@ tptp.numera6690914467698888265omplex V))) (@ (@ tptp.times_times_complex B) (@ tptp.numera6690914467698888265omplex V))))))
% 13.98/14.25 (assume a106 (forall ((A tptp.real) (B tptp.real) (V tptp.num)) (= (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) B)) (@ tptp.numeral_numeral_real V)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_real B) (@ tptp.numeral_numeral_real V))))))
% 13.98/14.25 (assume a107 (forall ((A tptp.nat) (B tptp.nat) (V tptp.num)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A) B)) (@ tptp.numeral_numeral_nat V)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) (@ tptp.numeral_numeral_nat V))) (@ (@ tptp.times_times_nat B) (@ tptp.numeral_numeral_nat V))))))
% 13.98/14.25 (assume a108 (forall ((A tptp.int) (B tptp.int) (V tptp.num)) (= (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int A) B)) (@ tptp.numeral_numeral_int V)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) (@ tptp.numeral_numeral_int V))) (@ (@ tptp.times_times_int B) (@ tptp.numeral_numeral_int V))))))
% 13.98/14.25 (assume a109 (forall ((V tptp.num) (B tptp.extended_enat) (C tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat V)) (@ (@ tptp.plus_p3455044024723400733d_enat B) C)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat V)) B)) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat V)) C)))))
% 13.98/14.25 (assume a110 (forall ((V tptp.num) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) B)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) C)))))
% 13.98/14.25 (assume a111 (forall ((V tptp.num) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) B)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) C)))))
% 13.98/14.25 (assume a112 (forall ((V tptp.num) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat V)) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat V)) B)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat V)) C)))))
% 13.98/14.25 (assume a113 (forall ((V tptp.num) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) B)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) C)))))
% 13.98/14.25 (assume a114 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.divide_divide_real B) (@ tptp.numeral_numeral_real W))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W))) B))))
% 13.98/14.25 (assume a115 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) (@ tptp.numeral_numeral_real W))) A) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W))))))
% 13.98/14.25 (assume a116 (forall ((Y tptp.nat)) (=> (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high Y) tptp.na))) (@ (@ tptp.vEBT_VEBT_low Y) tptp.na)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Y) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (and (@ (@ tptp.ord_less_nat tptp.mi) Y) (@ (@ tptp.ord_less_eq_nat Y) tptp.ma) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_low Y) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na)))))))
% 13.98/14.25 (assume a117 (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high tptp.ma) tptp.na) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) I)) (@ (@ tptp.vEBT_VEBT_low tptp.ma) tptp.na))) (forall ((Y2 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high Y2) tptp.na) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) I)) (@ (@ tptp.vEBT_VEBT_low Y2) tptp.na))) (and (@ (@ tptp.ord_less_nat tptp.mi) Y2) (@ (@ tptp.ord_less_eq_nat Y2) tptp.ma))))))))
% 13.98/14.25 (assume a118 (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))) (@ (@ tptp.vEBT_invar_vebt X3) tptp.na))))
% 13.98/14.25 (assume a119 (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.m)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) I)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions tptp.summary) I)))))
% 13.98/14.25 (assume a120 (forall ((A tptp.nat) (K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat K))) (@ tptp.numeral_numeral_nat L2)) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num K) L2))))))
% 13.98/14.25 (assume a121 (forall ((A tptp.int) (K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int L2)) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num K) L2))))))
% 13.98/14.25 (assume a122 (forall ((A tptp.code_integer) (K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger K))) (@ tptp.numera6620942414471956472nteger L2)) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num K) L2))))))
% 13.98/14.25 (assume a123 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.divide_divide_nat M) N2)) M)))
% 13.98/14.25 (assume a124 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.divide_divide_nat M) K)) (@ (@ tptp.divide_divide_nat N2) K)))))
% 13.98/14.25 (assume a125 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.plus_plus_complex B) C)))))
% 13.98/14.25 (assume a126 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real A) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.25 (assume a127 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int A) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.25 (assume a128 (forall ((N2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat N2) (@ (@ tptp.divide_divide_nat M) N2))) M)))
% 13.98/14.25 (assume a129 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat M) N2)) N2)) M)))
% 13.98/14.25 (assume a130 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat M) (@ (@ tptp.times_times_nat N2) Q2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat M) N2)) Q2))))
% 13.98/14.25 (assume a131 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat A) (@ tptp.numera1916890842035813515d_enat tptp.one)) A)))
% 13.98/14.25 (assume a132 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ tptp.numera6690914467698888265omplex tptp.one)) A)))
% 13.98/14.25 (assume a133 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real tptp.one)) A)))
% 13.98/14.25 (assume a134 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat A) (@ tptp.numeral_numeral_nat tptp.one)) A)))
% 13.98/14.25 (assume a135 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int A) (@ tptp.numeral_numeral_int tptp.one)) A)))
% 13.98/14.25 (assume a136 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat tptp.one)) A) A)))
% 13.98/14.25 (assume a137 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex tptp.one)) A) A)))
% 13.98/14.25 (assume a138 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real tptp.one)) A) A)))
% 13.98/14.25 (assume a139 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat tptp.one)) A) A)))
% 13.98/14.25 (assume a140 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int tptp.one)) A) A)))
% 13.98/14.25 (assume a141 (forall ((N2 tptp.num)) (= (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 N2)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat N2)))))
% 13.98/14.25 (assume a142 (forall ((N2 tptp.num)) (= (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex N2)))))
% 13.98/14.25 (assume a143 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_real (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real N2)))))
% 13.98/14.25 (assume a144 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.25 (assume a145 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.25 (assume a146 (forall ((A tptp.real)) (= (@ (@ tptp.divide_divide_real A) (@ tptp.numeral_numeral_real tptp.one)) A)))
% 13.98/14.25 (assume a147 (forall ((A tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.numera6690914467698888265omplex tptp.one)) A)))
% 13.98/14.25 (assume a148 (forall ((M tptp.nat) (I2 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) (@ (@ tptp.times_times_nat I2) N2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.divide_divide_nat M) N2)) I2))))
% 13.98/14.25 (assume a149 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide_divide_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat N2))))
% 13.98/14.25 (assume a150 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.25 (assume a151 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide6298287555418463151nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 N2))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.numera6620942414471956472nteger N2))))
% 13.98/14.25 (assume a152 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (@ (@ tptp.plus_p3455044024723400733d_enat A) (@ (@ tptp.plus_p3455044024723400733d_enat A) B)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) A)) B))))
% 13.98/14.25 (assume a153 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.plus_plus_complex A) B)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) A)) B))))
% 13.98/14.25 (assume a154 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.plus_plus_real A) (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) A)) B))))
% 13.98/14.25 (assume a155 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.plus_plus_nat A) B)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) B))))
% 13.98/14.25 (assume a156 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int A) (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) B))))
% 13.98/14.25 (assume a157 (forall ((Z tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat Z) (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p3455044024723400733d_enat Z) Z))))
% 13.98/14.25 (assume a158 (forall ((Z tptp.complex)) (= (@ (@ tptp.times_times_complex Z) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_complex Z) Z))))
% 13.98/14.25 (assume a159 (forall ((Z tptp.real)) (= (@ (@ tptp.times_times_real Z) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_real Z) Z))))
% 13.98/14.25 (assume a160 (forall ((Z tptp.nat)) (= (@ (@ tptp.times_times_nat Z) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat Z) Z))))
% 13.98/14.25 (assume a161 (forall ((Z tptp.int)) (= (@ (@ tptp.times_times_int Z) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int Z) Z))))
% 13.98/14.25 (assume a162 (forall ((Z tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) Z) (@ (@ tptp.plus_p3455044024723400733d_enat Z) Z))))
% 13.98/14.25 (assume a163 (forall ((Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) Z) (@ (@ tptp.plus_plus_complex Z) Z))))
% 13.98/14.25 (assume a164 (forall ((Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) Z) (@ (@ tptp.plus_plus_real Z) Z))))
% 13.98/14.25 (assume a165 (forall ((Z tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Z) (@ (@ tptp.plus_plus_nat Z) Z))))
% 13.98/14.25 (assume a166 (forall ((Z tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Z) (@ (@ tptp.plus_plus_int Z) Z))))
% 13.98/14.25 (assume a167 (= tptp.vEBT_V5917875025757280293ildren (lambda ((N tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X2 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) (@ (@ tptp.vEBT_VEBT_high X2) N))) (@ (@ tptp.vEBT_VEBT_low X2) N)))))
% 13.98/14.25 (assume a168 (and (not (= tptp.mi tptp.ma)) (@ (@ tptp.ord_less_nat tptp.xa) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))))
% 13.98/14.25 (assume a169 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.vEBT_V8194947554948674370ptions T) X) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.vEBT_vebt_insert T) Y)) X)))))))
% 13.98/14.25 (assume a170 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.vEBT_vebt_insert T) X)) X)))))
% 13.98/14.25 (assume a171 (forall ((I2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (=> (@ (@ tptp.ord_less_nat J) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (= (@ tptp.set_VEBT_VEBT2 (@ (@ (@ tptp.list_u1324408373059187874T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) (@ (@ tptp.nth_VEBT_VEBT Xs2) J))) J) (@ (@ tptp.nth_VEBT_VEBT Xs2) I2))) (@ tptp.set_VEBT_VEBT2 Xs2))))))
% 13.98/14.25 (assume a172 (forall ((I2 tptp.nat) (Xs2 tptp.list_o) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_o Xs2)) (=> (@ (@ tptp.ord_less_nat J) (@ tptp.size_size_list_o Xs2)) (= (@ tptp.set_o2 (@ (@ (@ tptp.list_update_o (@ (@ (@ tptp.list_update_o Xs2) I2) (@ (@ tptp.nth_o Xs2) J))) J) (@ (@ tptp.nth_o Xs2) I2))) (@ tptp.set_o2 Xs2))))))
% 13.98/14.25 (assume a173 (forall ((I2 tptp.nat) (Xs2 tptp.list_nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_nat Xs2)) (=> (@ (@ tptp.ord_less_nat J) (@ tptp.size_size_list_nat Xs2)) (= (@ tptp.set_nat2 (@ (@ (@ tptp.list_update_nat (@ (@ (@ tptp.list_update_nat Xs2) I2) (@ (@ tptp.nth_nat Xs2) J))) J) (@ (@ tptp.nth_nat Xs2) I2))) (@ tptp.set_nat2 Xs2))))))
% 13.98/14.25 (assume a174 (forall ((I2 tptp.nat) (Xs2 tptp.list_int) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_int Xs2)) (=> (@ (@ tptp.ord_less_nat J) (@ tptp.size_size_list_int Xs2)) (= (@ tptp.set_int2 (@ (@ (@ tptp.list_update_int (@ (@ (@ tptp.list_update_int Xs2) I2) (@ (@ tptp.nth_int Xs2) J))) J) (@ (@ tptp.nth_int Xs2) I2))) (@ tptp.set_int2 Xs2))))))
% 13.98/14.25 (assume a175 (forall ((I2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) I2) X))))
% 13.98/14.25 (assume a176 (forall ((I2 tptp.nat) (Xs2 tptp.list_o) (X Bool)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_o Xs2)) (= (@ (@ tptp.nth_o (@ (@ (@ tptp.list_update_o Xs2) I2) X)) I2) X))))
% 13.98/14.25 (assume a177 (forall ((I2 tptp.nat) (Xs2 tptp.list_nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_nat Xs2)) (= (@ (@ tptp.nth_nat (@ (@ (@ tptp.list_update_nat Xs2) I2) X)) I2) X))))
% 13.98/14.25 (assume a178 (forall ((I2 tptp.nat) (Xs2 tptp.list_int) (X tptp.int)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_int Xs2)) (= (@ (@ tptp.nth_int (@ (@ (@ tptp.list_update_int Xs2) I2) X)) I2) X))))
% 13.98/14.25 (assume a179 (forall ((Xs2 tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) I2) (= (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X) Xs2))))
% 13.98/14.25 (assume a180 (forall ((Xs2 tptp.list_o) (I2 tptp.nat) (X Bool)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_o Xs2)) I2) (= (@ (@ (@ tptp.list_update_o Xs2) I2) X) Xs2))))
% 13.98/14.25 (assume a181 (forall ((Xs2 tptp.list_nat) (I2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_nat Xs2)) I2) (= (@ (@ (@ tptp.list_update_nat Xs2) I2) X) Xs2))))
% 13.98/14.25 (assume a182 (forall ((Xs2 tptp.list_int) (I2 tptp.nat) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_int Xs2)) I2) (= (@ (@ (@ tptp.list_update_int Xs2) I2) X) Xs2))))
% 13.98/14.25 (assume a183 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node Info) Deg) TreeList2) Summary)) N2) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg)) (=> (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ (@ (@ tptp.vEBT_Node Info) Deg) TreeList2) Summary)) X))))))
% 13.98/14.25 (assume a184 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.25 (assume a185 (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (M tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (@ (@ tptp.vEBT_invar_vebt X5) N2))) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2)))))
% 13.98/14.25 (assume a186 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (@ (@ tptp.power_8040749407984259932d_enat (@ (@ tptp.plus_p3455044024723400733d_enat X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.power_8040749407984259932d_enat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_8040749407984259932d_enat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_7803423173614009249d_enat (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.25 (assume a187 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.25 (assume a188 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.25 (assume a189 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.power_power_nat (@ (@ tptp.plus_plus_nat X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.power_power_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_nat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.25 (assume a190 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.power_power_int (@ (@ tptp.plus_plus_int X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.25 (assume a191 (and (@ (@ tptp.ord_less_eq_nat tptp.mi) tptp.xa) (@ (@ tptp.ord_less_eq_nat tptp.xa) tptp.ma)))
% 13.98/14.25 (assume a192 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node Info) Deg) TreeList2) Summary)) N2) (= Deg N2))))
% 13.98/14.25 (assume a193 (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) tptp.na))
% 13.98/14.25 (assume a194 (= tptp.xa tptp.mi))
% 13.98/14.25 (assume a195 (forall ((Xs2 tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (@ (@ (@ tptp.list_u1324408373059187874T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) I2) Y) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) Y))))
% 13.98/14.25 (assume a196 (or (not (= tptp.xa tptp.mi)) (not (= tptp.xa tptp.ma))))
% 13.98/14.25 (assume a197 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_8040749407984259932d_enat tptp.one_on7984719198319812577d_enat) N2) tptp.one_on7984719198319812577d_enat)))
% 13.98/14.25 (assume a198 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_nat tptp.one_one_nat) N2) tptp.one_one_nat)))
% 13.98/14.25 (assume a199 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_real tptp.one_one_real) N2) tptp.one_one_real)))
% 13.98/14.25 (assume a200 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_int tptp.one_one_int) N2) tptp.one_one_int)))
% 13.98/14.25 (assume a201 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_complex tptp.one_one_complex) N2) tptp.one_one_complex)))
% 13.98/14.25 (assume a202 (forall ((A tptp.nat)) (= (@ (@ tptp.power_power_nat A) tptp.one_one_nat) A)))
% 13.98/14.25 (assume a203 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real A) tptp.one_one_nat) A)))
% 13.98/14.25 (assume a204 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int A) tptp.one_one_nat) A)))
% 13.98/14.25 (assume a205 (forall ((A tptp.complex)) (= (@ (@ tptp.power_power_complex A) tptp.one_one_nat) A)))
% 13.98/14.25 (assume a206 (forall ((Xs2 tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT)) (= (@ tptp.size_s6755466524823107622T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) (@ tptp.size_s6755466524823107622T_VEBT Xs2))))
% 13.98/14.25 (assume a207 (forall ((Xs2 tptp.list_o) (I2 tptp.nat) (X Bool)) (= (@ tptp.size_size_list_o (@ (@ (@ tptp.list_update_o Xs2) I2) X)) (@ tptp.size_size_list_o Xs2))))
% 13.98/14.25 (assume a208 (forall ((Xs2 tptp.list_nat) (I2 tptp.nat) (X tptp.nat)) (= (@ tptp.size_size_list_nat (@ (@ (@ tptp.list_update_nat Xs2) I2) X)) (@ tptp.size_size_list_nat Xs2))))
% 13.98/14.25 (assume a209 (forall ((Xs2 tptp.list_int) (I2 tptp.nat) (X tptp.int)) (= (@ tptp.size_size_list_int (@ (@ (@ tptp.list_update_int Xs2) I2) X)) (@ tptp.size_size_list_int Xs2))))
% 13.98/14.25 (assume a210 (forall ((Xs2 tptp.list_nat) (I2 tptp.nat)) (= (@ (@ (@ tptp.list_update_nat Xs2) I2) (@ (@ tptp.nth_nat Xs2) I2)) Xs2)))
% 13.98/14.25 (assume a211 (forall ((Xs2 tptp.list_int) (I2 tptp.nat)) (= (@ (@ (@ tptp.list_update_int Xs2) I2) (@ (@ tptp.nth_int Xs2) I2)) Xs2)))
% 13.98/14.25 (assume a212 (forall ((Xs2 tptp.list_VEBT_VEBT) (I2 tptp.nat)) (= (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) (@ (@ tptp.nth_VEBT_VEBT Xs2) I2)) Xs2)))
% 13.98/14.25 (assume a213 (forall ((I2 tptp.nat) (J tptp.nat) (Xs2 tptp.list_nat) (X tptp.nat)) (=> (not (= I2 J)) (= (@ (@ tptp.nth_nat (@ (@ (@ tptp.list_update_nat Xs2) I2) X)) J) (@ (@ tptp.nth_nat Xs2) J)))))
% 13.98/14.25 (assume a214 (forall ((I2 tptp.nat) (J tptp.nat) (Xs2 tptp.list_int) (X tptp.int)) (=> (not (= I2 J)) (= (@ (@ tptp.nth_int (@ (@ (@ tptp.list_update_int Xs2) I2) X)) J) (@ (@ tptp.nth_int Xs2) J)))))
% 13.98/14.25 (assume a215 (forall ((I2 tptp.nat) (J tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (not (= I2 J)) (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) J) (@ (@ tptp.nth_VEBT_VEBT Xs2) J)))))
% 13.98/14.25 (assume a216 (forall ((N2 tptp.num)) (= (= (@ tptp.numera1916890842035813515d_enat N2) tptp.one_on7984719198319812577d_enat) (= N2 tptp.one))))
% 13.98/14.25 (assume a217 (forall ((N2 tptp.num)) (= (= (@ tptp.numera6690914467698888265omplex N2) tptp.one_one_complex) (= N2 tptp.one))))
% 13.98/14.25 (assume a218 (forall ((N2 tptp.num)) (= (= (@ tptp.numeral_numeral_real N2) tptp.one_one_real) (= N2 tptp.one))))
% 13.98/14.25 (assume a219 (forall ((N2 tptp.num)) (= (= (@ tptp.numeral_numeral_nat N2) tptp.one_one_nat) (= N2 tptp.one))))
% 13.98/14.25 (assume a220 (forall ((N2 tptp.num)) (= (= (@ tptp.numeral_numeral_int N2) tptp.one_one_int) (= N2 tptp.one))))
% 13.98/14.25 (assume a221 (forall ((N2 tptp.num)) (= (= tptp.one_on7984719198319812577d_enat (@ tptp.numera1916890842035813515d_enat N2)) (= tptp.one N2))))
% 13.98/14.25 (assume a222 (forall ((N2 tptp.num)) (= (= tptp.one_one_complex (@ tptp.numera6690914467698888265omplex N2)) (= tptp.one N2))))
% 13.98/14.25 (assume a223 (forall ((N2 tptp.num)) (= (= tptp.one_one_real (@ tptp.numeral_numeral_real N2)) (= tptp.one N2))))
% 13.98/14.25 (assume a224 (forall ((N2 tptp.num)) (= (= tptp.one_one_nat (@ tptp.numeral_numeral_nat N2)) (= tptp.one N2))))
% 13.98/14.25 (assume a225 (forall ((N2 tptp.num)) (= (= tptp.one_one_int (@ tptp.numeral_numeral_int N2)) (= tptp.one N2))))
% 13.98/14.25 (assume a226 (forall ((A tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (= (= (@ (@ tptp.power_power_real A) M) (@ (@ tptp.power_power_real A) N2)) (= M N2)))))
% 13.98/14.25 (assume a227 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (= (= (@ (@ tptp.power_power_nat A) M) (@ (@ tptp.power_power_nat A) N2)) (= M N2)))))
% 13.98/14.25 (assume a228 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (= (= (@ (@ tptp.power_power_int A) M) (@ (@ tptp.power_power_int A) N2)) (= M N2)))))
% 13.98/14.25 (assume a229 (forall ((A tptp.nat) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.power_power_nat (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat M))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.25 (assume a230 (forall ((A tptp.real) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.power_power_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat M))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.25 (assume a231 (forall ((A tptp.int) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.power_power_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat M))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.25 (assume a232 (forall ((A tptp.complex) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat M))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.25 (assume a233 (forall ((B tptp.real) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real B) X)) (@ (@ tptp.power_power_real B) Y)) (@ (@ tptp.ord_less_nat X) Y)))))
% 13.98/14.25 (assume a234 (forall ((B tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) B) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) X)) (@ (@ tptp.power_power_nat B) Y)) (@ (@ tptp.ord_less_nat X) Y)))))
% 13.98/14.25 (assume a235 (forall ((B tptp.int) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) B) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int B) X)) (@ (@ tptp.power_power_int B) Y)) (@ (@ tptp.ord_less_nat X) Y)))))
% 13.98/14.25 (assume a236 (forall ((A tptp.complex) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat N2))) (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.25 (assume a237 (forall ((A tptp.real) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat N2))) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.25 (assume a238 (forall ((A tptp.nat) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat N2))) (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.25 (assume a239 (forall ((A tptp.int) (M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat N2))) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.25 (assume a240 (forall ((A tptp.complex) (M tptp.num) (N2 tptp.num) (B tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat N2))) B)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2)))) B))))
% 13.98/14.25 (assume a241 (forall ((A tptp.real) (M tptp.num) (N2 tptp.num) (B tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat N2))) B)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2)))) B))))
% 13.98/14.25 (assume a242 (forall ((A tptp.nat) (M tptp.num) (N2 tptp.num) (B tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat N2))) B)) (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2)))) B))))
% 13.98/14.25 (assume a243 (forall ((A tptp.int) (M tptp.num) (N2 tptp.num) (B tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat M))) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat N2))) B)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num M) N2)))) B))))
% 13.98/14.25 (assume a244 (= (@ (@ tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))))
% 13.98/14.25 (assume a245 (= (@ (@ tptp.plus_plus_complex tptp.one_one_complex) tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))
% 13.98/14.25 (assume a246 (= (@ (@ tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.25 (assume a247 (= (@ (@ tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))
% 13.98/14.25 (assume a248 (= (@ (@ tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))
% 13.98/14.25 (assume a249 (forall ((B tptp.real) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real B) X)) (@ (@ tptp.power_power_real B) Y)) (@ (@ tptp.ord_less_eq_nat X) Y)))))
% 13.98/14.25 (assume a250 (forall ((B tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) B) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) X)) (@ (@ tptp.power_power_nat B) Y)) (@ (@ tptp.ord_less_eq_nat X) Y)))))
% 13.98/14.25 (assume a251 (forall ((B tptp.int) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) B) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int B) X)) (@ (@ tptp.power_power_int B) Y)) (@ (@ tptp.ord_less_eq_nat X) Y)))))
% 13.98/14.25 (assume a252 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat N2)) tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.25 (assume a253 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex N2)) tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.25 (assume a254 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real N2)) tptp.one_one_real) (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.25 (assume a255 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat N2)) tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.25 (assume a256 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int N2)) tptp.one_one_int) (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.25 (assume a257 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.25 (assume a258 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.25 (assume a259 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.25 (assume a260 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.25 (assume a261 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.25 (assume a262 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.numera1916890842035813515d_enat N2)) tptp.one_on7984719198319812577d_enat) (@ (@ tptp.ord_less_eq_num N2) tptp.one))))
% 13.98/14.25 (assume a263 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real N2)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_num N2) tptp.one))))
% 13.98/14.25 (assume a264 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat N2)) tptp.one_one_nat) (@ (@ tptp.ord_less_eq_num N2) tptp.one))))
% 13.98/14.25 (assume a265 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int N2)) tptp.one_one_int) (@ (@ tptp.ord_less_eq_num N2) tptp.one))))
% 13.98/14.25 (assume a266 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat N2)) (@ (@ tptp.ord_less_num tptp.one) N2))))
% 13.98/14.25 (assume a267 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.ord_less_num tptp.one) N2))))
% 13.98/14.25 (assume a268 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_less_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.ord_less_num tptp.one) N2))))
% 13.98/14.25 (assume a269 (forall ((N2 tptp.num)) (= (@ (@ tptp.ord_less_int tptp.one_one_int) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.ord_less_num tptp.one) N2))))
% 13.98/14.25 (assume a270 (forall ((Xs2 tptp.list_complex) (B2 tptp.set_complex)) (= (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.set_complex2 Xs2)) B2) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) (@ tptp.set_complex2 Xs2)) (@ (@ tptp.member_complex X2) B2))))))
% 13.98/14.25 (assume a271 (forall ((Xs2 tptp.list_P6011104703257516679at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.set_Pr5648618587558075414at_nat Xs2)) B2) (forall ((X2 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X2) (@ tptp.set_Pr5648618587558075414at_nat Xs2)) (@ (@ tptp.member8440522571783428010at_nat X2) B2))))))
% 13.98/14.25 (assume a272 (forall ((Xs2 tptp.list_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (@ (@ tptp.ord_le4337996190870823476T_VEBT (@ tptp.set_VEBT_VEBT2 Xs2)) B2) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 Xs2)) (@ (@ tptp.member_VEBT_VEBT X2) B2))))))
% 13.98/14.25 (assume a273 (forall ((Xs2 tptp.list_int) (B2 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 Xs2)) B2) (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) (@ tptp.set_int2 Xs2)) (@ (@ tptp.member_int X2) B2))))))
% 13.98/14.25 (assume a274 (forall ((Xs2 tptp.list_real) (B2 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 Xs2)) B2) (forall ((X2 tptp.real)) (=> (@ (@ tptp.member_real X2) (@ tptp.set_real2 Xs2)) (@ (@ tptp.member_real X2) B2))))))
% 13.98/14.25 (assume a275 (forall ((Xs2 tptp.list_nat) (B2 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 Xs2)) B2) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ tptp.set_nat2 Xs2)) (@ (@ tptp.member_nat X2) B2))))))
% 13.98/14.25 (assume a276 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_real A) C))) (@ (@ tptp.times_times_real B) D))) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real D) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real B) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real C) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.25 (assume a277 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_num tptp.one) N2) (@ (@ tptp.plus_plus_num N2) tptp.one))))
% 13.98/14.25 (assume a278 (forall ((X tptp.num)) (= (@ (@ tptp.ord_less_eq_num X) tptp.one) (= X tptp.one))))
% 13.98/14.25 (assume a279 (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.25 (assume a280 (@ (@ tptp.ord_less_eq_real tptp.one_one_real) tptp.one_one_real))
% 13.98/14.25 (assume a281 (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) tptp.one_one_nat))
% 13.98/14.25 (assume a282 (@ (@ tptp.ord_less_eq_int tptp.one_one_int) tptp.one_one_int))
% 13.98/14.25 (assume a283 (not (@ (@ tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat)))
% 13.98/14.25 (assume a284 (not (@ (@ tptp.ord_less_real tptp.one_one_real) tptp.one_one_real)))
% 13.98/14.25 (assume a285 (not (@ (@ tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat)))
% 13.98/14.25 (assume a286 (not (@ (@ tptp.ord_less_int tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.25 (assume a287 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) A) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.25 (assume a288 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) A) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.25 (assume a289 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.one_one_int) A) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.25 (assume a290 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_7803423173614009249d_enat X) Y) tptp.one_on7984719198319812577d_enat) (= (@ (@ tptp.times_7803423173614009249d_enat (@ (@ tptp.power_8040749407984259932d_enat X) N2)) (@ (@ tptp.power_8040749407984259932d_enat Y) N2)) tptp.one_on7984719198319812577d_enat))))
% 13.98/14.25 (assume a291 (forall ((X tptp.complex) (Y tptp.complex) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_complex X) Y) tptp.one_one_complex) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_complex Y) N2)) tptp.one_one_complex))))
% 13.98/14.25 (assume a292 (forall ((X tptp.real) (Y tptp.real) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_real X) Y) tptp.one_one_real) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real Y) N2)) tptp.one_one_real))))
% 13.98/14.25 (assume a293 (forall ((X tptp.nat) (Y tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_nat X) Y) tptp.one_one_nat) (= (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat X) N2)) (@ (@ tptp.power_power_nat Y) N2)) tptp.one_one_nat))))
% 13.98/14.25 (assume a294 (forall ((X tptp.int) (Y tptp.int) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_int X) Y) tptp.one_one_int) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int X) N2)) (@ (@ tptp.power_power_int Y) N2)) tptp.one_one_int))))
% 13.98/14.25 (assume a295 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real tptp.one_one_real) A)) N2) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.25 (assume a296 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) A)) N2) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.25 (assume a297 (forall ((Xs2 tptp.list_complex) (A2 tptp.set_complex) (X tptp.complex) (I2 tptp.nat)) (=> (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.set_complex2 Xs2)) A2) (=> (@ (@ tptp.member_complex X) A2) (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.set_complex2 (@ (@ (@ tptp.list_update_complex Xs2) I2) X))) A2)))))
% 13.98/14.25 (assume a298 (forall ((Xs2 tptp.list_P6011104703257516679at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.set_Pr5648618587558075414at_nat Xs2)) A2) (=> (@ (@ tptp.member8440522571783428010at_nat X) A2) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.set_Pr5648618587558075414at_nat (@ (@ (@ tptp.list_u6180841689913720943at_nat Xs2) I2) X))) A2)))))
% 13.98/14.25 (assume a299 (forall ((Xs2 tptp.list_int) (A2 tptp.set_int) (X tptp.int) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 Xs2)) A2) (=> (@ (@ tptp.member_int X) A2) (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 (@ (@ (@ tptp.list_update_int Xs2) I2) X))) A2)))))
% 13.98/14.25 (assume a300 (forall ((Xs2 tptp.list_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (X tptp.vEBT_VEBT) (I2 tptp.nat)) (=> (@ (@ tptp.ord_le4337996190870823476T_VEBT (@ tptp.set_VEBT_VEBT2 Xs2)) A2) (=> (@ (@ tptp.member_VEBT_VEBT X) A2) (@ (@ tptp.ord_le4337996190870823476T_VEBT (@ tptp.set_VEBT_VEBT2 (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X))) A2)))))
% 13.98/14.25 (assume a301 (forall ((Xs2 tptp.list_real) (A2 tptp.set_real) (X tptp.real) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 Xs2)) A2) (=> (@ (@ tptp.member_real X) A2) (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 (@ (@ (@ tptp.list_update_real Xs2) I2) X))) A2)))))
% 13.98/14.25 (assume a302 (forall ((Xs2 tptp.list_nat) (A2 tptp.set_nat) (X tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 Xs2)) A2) (=> (@ (@ tptp.member_nat X) A2) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 (@ (@ (@ tptp.list_update_nat Xs2) I2) X))) A2)))))
% 13.98/14.25 (assume a303 (forall ((X tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.25 (assume a304 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.times_times_real A) (@ (@ tptp.power_power_real A) N2))))))
% 13.98/14.25 (assume a305 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (@ (@ tptp.ord_less_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat A) N2))))))
% 13.98/14.25 (assume a306 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int A) N2))))))
% 13.98/14.25 (assume a307 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.times_times_real A) (@ (@ tptp.power_power_real A) N2))))))
% 13.98/14.25 (assume a308 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat A) N2))))))
% 13.98/14.25 (assume a309 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int A) N2))))))
% 13.98/14.25 (assume a310 (forall ((A tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) M)) (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.25 (assume a311 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.25 (assume a312 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.25 (assume a313 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real A) N3))))))
% 13.98/14.25 (assume a314 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat A) N3))))))
% 13.98/14.25 (assume a315 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int A) N3))))))
% 13.98/14.25 (assume a316 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real A) N3))))))
% 13.98/14.25 (assume a317 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) A) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat A) N3))))))
% 13.98/14.25 (assume a318 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_int tptp.one_one_int) A) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int A) N3))))))
% 13.98/14.25 (assume a319 (forall ((N2 tptp.num)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat N2))))
% 13.98/14.25 (assume a320 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.25 (assume a321 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat N2))))
% 13.98/14.25 (assume a322 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.25 (assume a323 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.numera1916890842035813515d_enat N2)) tptp.one_on7984719198319812577d_enat))))
% 13.98/14.25 (assume a324 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real N2)) tptp.one_one_real))))
% 13.98/14.25 (assume a325 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat N2)) tptp.one_one_nat))))
% 13.98/14.25 (assume a326 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int N2)) tptp.one_one_int))))
% 13.98/14.25 (assume a327 (= (@ tptp.numera1916890842035813515d_enat tptp.one) tptp.one_on7984719198319812577d_enat))
% 13.98/14.25 (assume a328 (= (@ tptp.numera6690914467698888265omplex tptp.one) tptp.one_one_complex))
% 13.98/14.25 (assume a329 (= (@ tptp.numeral_numeral_real tptp.one) tptp.one_one_real))
% 13.98/14.25 (assume a330 (= (@ tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 13.98/14.25 (assume a331 (= (@ tptp.numeral_numeral_int tptp.one) tptp.one_one_int))
% 13.98/14.25 (assume a332 (forall ((X tptp.num)) (= (@ (@ tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat X)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat X)) tptp.one_on7984719198319812577d_enat))))
% 13.98/14.25 (assume a333 (forall ((X tptp.num)) (= (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex X)) (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex X)) tptp.one_one_complex))))
% 13.98/14.25 (assume a334 (forall ((X tptp.num)) (= (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.numeral_numeral_real X)) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real X)) tptp.one_one_real))))
% 13.98/14.25 (assume a335 (forall ((X tptp.num)) (= (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat X)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat X)) tptp.one_one_nat))))
% 13.98/14.25 (assume a336 (forall ((X tptp.num)) (= (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ tptp.numeral_numeral_int X)) (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int X)) tptp.one_one_int))))
% 13.98/14.25 (assume a337 (= (@ tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 13.98/14.25 (assume a338 (forall ((A tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) M)) (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.25 (assume a339 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.25 (assume a340 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.25 (assume a341 (= (@ (@ tptp.power_8040749407984259932d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_on7984719198319812577d_enat))
% 13.98/14.25 (assume a342 (= (@ (@ tptp.power_power_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat))
% 13.98/14.25 (assume a343 (= (@ (@ tptp.power_power_real tptp.one_one_real) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_real))
% 13.98/14.25 (assume a344 (= (@ (@ tptp.power_power_int tptp.one_one_int) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_int))
% 13.98/14.25 (assume a345 (= (@ (@ tptp.power_power_complex tptp.one_one_complex) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_complex))
% 13.98/14.25 (assume a346 (forall ((Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (not (= (@ tptp.size_s6755466524823107622T_VEBT Xs2) (@ tptp.size_s6755466524823107622T_VEBT Ys))) (not (= Xs2 Ys)))))
% 13.98/14.25 (assume a347 (forall ((Xs2 tptp.list_o) (Ys tptp.list_o)) (=> (not (= (@ tptp.size_size_list_o Xs2) (@ tptp.size_size_list_o Ys))) (not (= Xs2 Ys)))))
% 13.98/14.25 (assume a348 (forall ((Xs2 tptp.list_nat) (Ys tptp.list_nat)) (=> (not (= (@ tptp.size_size_list_nat Xs2) (@ tptp.size_size_list_nat Ys))) (not (= Xs2 Ys)))))
% 13.98/14.25 (assume a349 (forall ((Xs2 tptp.list_int) (Ys tptp.list_int)) (=> (not (= (@ tptp.size_size_list_int Xs2) (@ tptp.size_size_list_int Ys))) (not (= Xs2 Ys)))))
% 13.98/14.25 (assume a350 (forall ((N2 tptp.nat)) (exists ((Xs3 tptp.list_VEBT_VEBT)) (= (@ tptp.size_s6755466524823107622T_VEBT Xs3) N2))))
% 13.98/14.25 (assume a351 (forall ((N2 tptp.nat)) (exists ((Xs3 tptp.list_o)) (= (@ tptp.size_size_list_o Xs3) N2))))
% 13.98/14.25 (assume a352 (forall ((N2 tptp.nat)) (exists ((Xs3 tptp.list_nat)) (= (@ tptp.size_size_list_nat Xs3) N2))))
% 13.98/14.25 (assume a353 (forall ((N2 tptp.nat)) (exists ((Xs3 tptp.list_int)) (= (@ tptp.size_size_list_int Xs3) N2))))
% 13.98/14.25 (assume a354 (forall ((I2 tptp.nat) (I3 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT) (X6 tptp.vEBT_VEBT)) (=> (not (= I2 I3)) (= (@ (@ (@ tptp.list_u1324408373059187874T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) I3) X6) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I3) X6)) I2) X)))))
% 13.98/14.25 (assume a355 (= (@ (@ tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))
% 13.98/14.25 (assume a356 (forall ((B tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) K) (exists ((N4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) N4)) K) (@ (@ tptp.ord_less_nat K) (@ (@ tptp.power_power_nat B) (@ (@ tptp.plus_plus_nat N4) tptp.one_one_nat)))))))))
% 13.98/14.25 (assume a357 (forall ((B tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K) (exists ((N4 tptp.nat)) (and (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) N4)) K) (@ (@ tptp.ord_less_eq_nat K) (@ (@ tptp.power_power_nat B) (@ (@ tptp.plus_plus_nat N4) tptp.one_one_nat)))))))))
% 13.98/14.25 (assume a358 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) N2)) A) (@ (@ tptp.times_times_complex A) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.25 (assume a359 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) N2)) A) (@ (@ tptp.times_times_real A) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.25 (assume a360 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) N2)) A) (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.25 (assume a361 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) N2)) A) (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.25 (assume a362 (forall ((A tptp.complex) (B tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.times_times_complex A) B)) N2) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) N2)) (@ (@ tptp.power_power_complex B) N2)))))
% 13.98/14.25 (assume a363 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ (@ tptp.times_times_real A) B)) N2) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2)))))
% 13.98/14.25 (assume a364 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat (@ (@ tptp.times_times_nat A) B)) N2) (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2)))))
% 13.98/14.25 (assume a365 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ (@ tptp.times_times_int A) B)) N2) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2)))))
% 13.98/14.25 (assume a366 (forall ((X tptp.complex) (Y tptp.complex) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_complex X) Y) (@ (@ tptp.times_times_complex Y) X)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) N2)) Y) (@ (@ tptp.times_times_complex Y) (@ (@ tptp.power_power_complex X) N2))))))
% 13.98/14.25 (assume a367 (forall ((X tptp.real) (Y tptp.real) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_real X) Y) (@ (@ tptp.times_times_real Y) X)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) N2)) Y) (@ (@ tptp.times_times_real Y) (@ (@ tptp.power_power_real X) N2))))))
% 13.98/14.25 (assume a368 (forall ((X tptp.nat) (Y tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_nat X) Y) (@ (@ tptp.times_times_nat Y) X)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat X) N2)) Y) (@ (@ tptp.times_times_nat Y) (@ (@ tptp.power_power_nat X) N2))))))
% 13.98/14.25 (assume a369 (forall ((X tptp.int) (Y tptp.int) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_int X) Y) (@ (@ tptp.times_times_int Y) X)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int X) N2)) Y) (@ (@ tptp.times_times_int Y) (@ (@ tptp.power_power_int X) N2))))))
% 13.98/14.25 (assume a370 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real A) B)) N2) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2)))))
% 13.98/14.25 (assume a371 (forall ((A tptp.complex) (B tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.divide1717551699836669952omplex A) B)) N2) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.power_power_complex A) N2)) (@ (@ tptp.power_power_complex B) N2)))))
% 13.98/14.25 (assume a372 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.power_power_nat (@ (@ tptp.power_power_nat A) M)) N2))))
% 13.98/14.25 (assume a373 (forall ((A tptp.real) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real A) (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.power_power_real (@ (@ tptp.power_power_real A) M)) N2))))
% 13.98/14.25 (assume a374 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int A) (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.power_power_int (@ (@ tptp.power_power_int A) M)) N2))))
% 13.98/14.25 (assume a375 (forall ((A tptp.complex) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex A) (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.power_power_complex (@ (@ tptp.power_power_complex A) M)) N2))))
% 13.98/14.25 (assume a376 (forall ((P (-> tptp.list_VEBT_VEBT Bool)) (Xs2 tptp.list_VEBT_VEBT)) (=> (forall ((Xs3 tptp.list_VEBT_VEBT)) (=> (forall ((Ys2 tptp.list_VEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat (@ tptp.size_s6755466524823107622T_VEBT Ys2)) (@ tptp.size_s6755466524823107622T_VEBT Xs3)) (@ P Ys2))) (@ P Xs3))) (@ P Xs2))))
% 13.98/14.25 (assume a377 (forall ((P (-> tptp.list_o Bool)) (Xs2 tptp.list_o)) (=> (forall ((Xs3 tptp.list_o)) (=> (forall ((Ys2 tptp.list_o)) (=> (@ (@ tptp.ord_less_nat (@ tptp.size_size_list_o Ys2)) (@ tptp.size_size_list_o Xs3)) (@ P Ys2))) (@ P Xs3))) (@ P Xs2))))
% 13.98/14.25 (assume a378 (forall ((P (-> tptp.list_nat Bool)) (Xs2 tptp.list_nat)) (=> (forall ((Xs3 tptp.list_nat)) (=> (forall ((Ys2 tptp.list_nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.size_size_list_nat Ys2)) (@ tptp.size_size_list_nat Xs3)) (@ P Ys2))) (@ P Xs3))) (@ P Xs2))))
% 13.98/14.25 (assume a379 (forall ((P (-> tptp.list_int Bool)) (Xs2 tptp.list_int)) (=> (forall ((Xs3 tptp.list_int)) (=> (forall ((Ys2 tptp.list_int)) (=> (@ (@ tptp.ord_less_nat (@ tptp.size_size_list_int Ys2)) (@ tptp.size_size_list_int Xs3)) (@ P Ys2))) (@ P Xs3))) (@ P Xs2))))
% 13.98/14.25 (assume a380 (forall ((A tptp.complex) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex A) (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) M)) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.25 (assume a381 (forall ((A tptp.real) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real A) (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) M)) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.25 (assume a382 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.25 (assume a383 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int A) (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.25 (assume a384 (forall ((Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (= (@ tptp.size_s6755466524823107622T_VEBT Xs2) (@ tptp.size_s6755466524823107622T_VEBT Ys)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (= (@ (@ tptp.nth_VEBT_VEBT Xs2) I4) (@ (@ tptp.nth_VEBT_VEBT Ys) I4)))) (= Xs2 Ys)))))
% 13.98/14.25 (assume a385 (forall ((Xs2 tptp.list_o) (Ys tptp.list_o)) (=> (= (@ tptp.size_size_list_o Xs2) (@ tptp.size_size_list_o Ys)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_o Xs2)) (= (@ (@ tptp.nth_o Xs2) I4) (@ (@ tptp.nth_o Ys) I4)))) (= Xs2 Ys)))))
% 13.98/14.25 (assume a386 (forall ((Xs2 tptp.list_nat) (Ys tptp.list_nat)) (=> (= (@ tptp.size_size_list_nat Xs2) (@ tptp.size_size_list_nat Ys)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_nat Xs2)) (= (@ (@ tptp.nth_nat Xs2) I4) (@ (@ tptp.nth_nat Ys) I4)))) (= Xs2 Ys)))))
% 13.98/14.25 (assume a387 (forall ((Xs2 tptp.list_int) (Ys tptp.list_int)) (=> (= (@ tptp.size_size_list_int Xs2) (@ tptp.size_size_list_int Ys)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_int Xs2)) (= (@ (@ tptp.nth_int Xs2) I4) (@ (@ tptp.nth_int Ys) I4)))) (= Xs2 Ys)))))
% 13.98/14.25 (assume a388 (forall ((K tptp.nat) (P (-> tptp.nat tptp.vEBT_VEBT Bool))) (= (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (exists ((X4 tptp.vEBT_VEBT)) (@ (@ P I5) X4)))) (exists ((Xs tptp.list_VEBT_VEBT)) (and (= (@ tptp.size_s6755466524823107622T_VEBT Xs) K) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (@ (@ P I5) (@ (@ tptp.nth_VEBT_VEBT Xs) I5)))))))))
% 13.98/14.25 (assume a389 (forall ((K tptp.nat) (P (-> tptp.nat Bool Bool))) (= (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (exists ((X4 Bool)) (@ (@ P I5) X4)))) (exists ((Xs tptp.list_o)) (and (= (@ tptp.size_size_list_o Xs) K) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (@ (@ P I5) (@ (@ tptp.nth_o Xs) I5)))))))))
% 13.98/14.25 (assume a390 (forall ((K tptp.nat) (P (-> tptp.nat tptp.nat Bool))) (= (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (exists ((X4 tptp.nat)) (@ (@ P I5) X4)))) (exists ((Xs tptp.list_nat)) (and (= (@ tptp.size_size_list_nat Xs) K) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (@ (@ P I5) (@ (@ tptp.nth_nat Xs) I5)))))))))
% 13.98/14.25 (assume a391 (forall ((K tptp.nat) (P (-> tptp.nat tptp.int Bool))) (= (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (exists ((X4 tptp.int)) (@ (@ P I5) X4)))) (exists ((Xs tptp.list_int)) (and (= (@ tptp.size_size_list_int Xs) K) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) K) (@ (@ P I5) (@ (@ tptp.nth_int Xs) I5)))))))))
% 13.98/14.25 (assume a392 (= (lambda ((Y4 tptp.list_VEBT_VEBT) (Z2 tptp.list_VEBT_VEBT)) (= Y4 Z2)) (lambda ((Xs tptp.list_VEBT_VEBT) (Ys3 tptp.list_VEBT_VEBT)) (and (= (@ tptp.size_s6755466524823107622T_VEBT Xs) (@ tptp.size_s6755466524823107622T_VEBT Ys3)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_s6755466524823107622T_VEBT Xs)) (= (@ (@ tptp.nth_VEBT_VEBT Xs) I5) (@ (@ tptp.nth_VEBT_VEBT Ys3) I5))))))))
% 13.98/14.25 (assume a393 (= (lambda ((Y4 tptp.list_o) (Z2 tptp.list_o)) (= Y4 Z2)) (lambda ((Xs tptp.list_o) (Ys3 tptp.list_o)) (and (= (@ tptp.size_size_list_o Xs) (@ tptp.size_size_list_o Ys3)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_o Xs)) (= (@ (@ tptp.nth_o Xs) I5) (@ (@ tptp.nth_o Ys3) I5))))))))
% 13.98/14.25 (assume a394 (= (lambda ((Y4 tptp.list_nat) (Z2 tptp.list_nat)) (= Y4 Z2)) (lambda ((Xs tptp.list_nat) (Ys3 tptp.list_nat)) (and (= (@ tptp.size_size_list_nat Xs) (@ tptp.size_size_list_nat Ys3)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_nat Xs)) (= (@ (@ tptp.nth_nat Xs) I5) (@ (@ tptp.nth_nat Ys3) I5))))))))
% 13.98/14.25 (assume a395 (= (lambda ((Y4 tptp.list_int) (Z2 tptp.list_int)) (= Y4 Z2)) (lambda ((Xs tptp.list_int) (Ys3 tptp.list_int)) (and (= (@ tptp.size_size_list_int Xs) (@ tptp.size_size_list_int Ys3)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_int Xs)) (= (@ (@ tptp.nth_int Xs) I5) (@ (@ tptp.nth_int Ys3) I5))))))))
% 13.98/14.25 (assume a396 (forall ((N2 tptp.nat) (Xs2 tptp.list_real)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_real Xs2)) (@ (@ tptp.member_real (@ (@ tptp.nth_real Xs2) N2)) (@ tptp.set_real2 Xs2)))))
% 13.98/14.25 (assume a397 (forall ((N2 tptp.nat) (Xs2 tptp.list_complex)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s3451745648224563538omplex Xs2)) (@ (@ tptp.member_complex (@ (@ tptp.nth_complex Xs2) N2)) (@ tptp.set_complex2 Xs2)))))
% 13.98/14.25 (assume a398 (forall ((N2 tptp.nat) (Xs2 tptp.list_P6011104703257516679at_nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s5460976970255530739at_nat Xs2)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.nth_Pr7617993195940197384at_nat Xs2) N2)) (@ tptp.set_Pr5648618587558075414at_nat Xs2)))))
% 13.98/14.25 (assume a399 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ (@ tptp.member_VEBT_VEBT (@ (@ tptp.nth_VEBT_VEBT Xs2) N2)) (@ tptp.set_VEBT_VEBT2 Xs2)))))
% 13.98/14.25 (assume a400 (forall ((N2 tptp.nat) (Xs2 tptp.list_o)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_o Xs2)) (@ (@ tptp.member_o (@ (@ tptp.nth_o Xs2) N2)) (@ tptp.set_o2 Xs2)))))
% 13.98/14.25 (assume a401 (forall ((N2 tptp.nat) (Xs2 tptp.list_nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_nat Xs2)) (@ (@ tptp.member_nat (@ (@ tptp.nth_nat Xs2) N2)) (@ tptp.set_nat2 Xs2)))))
% 13.98/14.25 (assume a402 (forall ((N2 tptp.nat) (Xs2 tptp.list_int)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_int Xs2)) (@ (@ tptp.member_int (@ (@ tptp.nth_int Xs2) N2)) (@ tptp.set_int2 Xs2)))))
% 13.98/14.25 (assume a403 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (P (-> tptp.vEBT_VEBT Bool))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 Xs2)) (@ P X5))) (@ P (@ (@ tptp.nth_VEBT_VEBT Xs2) N2))))))
% 13.98/14.25 (assume a404 (forall ((N2 tptp.nat) (Xs2 tptp.list_o) (P (-> Bool Bool))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_o Xs2)) (=> (forall ((X5 Bool)) (=> (@ (@ tptp.member_o X5) (@ tptp.set_o2 Xs2)) (@ P X5))) (@ P (@ (@ tptp.nth_o Xs2) N2))))))
% 13.98/14.25 (assume a405 (forall ((N2 tptp.nat) (Xs2 tptp.list_nat) (P (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_nat Xs2)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) (@ tptp.set_nat2 Xs2)) (@ P X5))) (@ P (@ (@ tptp.nth_nat Xs2) N2))))))
% 13.98/14.25 (assume a406 (forall ((N2 tptp.nat) (Xs2 tptp.list_int) (P (-> tptp.int Bool))) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_int Xs2)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ tptp.set_int2 Xs2)) (@ P X5))) (@ P (@ (@ tptp.nth_int Xs2) N2))))))
% 13.98/14.25 (assume a407 (forall ((X tptp.real) (Xs2 tptp.list_real)) (= (@ (@ tptp.member_real X) (@ tptp.set_real2 Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_real Xs2)) (= (@ (@ tptp.nth_real Xs2) I5) X))))))
% 13.98/14.25 (assume a408 (forall ((X tptp.complex) (Xs2 tptp.list_complex)) (= (@ (@ tptp.member_complex X) (@ tptp.set_complex2 Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_s3451745648224563538omplex Xs2)) (= (@ (@ tptp.nth_complex Xs2) I5) X))))))
% 13.98/14.25 (assume a409 (forall ((X tptp.product_prod_nat_nat) (Xs2 tptp.list_P6011104703257516679at_nat)) (= (@ (@ tptp.member8440522571783428010at_nat X) (@ tptp.set_Pr5648618587558075414at_nat Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_s5460976970255530739at_nat Xs2)) (= (@ (@ tptp.nth_Pr7617993195940197384at_nat Xs2) I5) X))))))
% 13.98/14.25 (assume a410 (forall ((X tptp.vEBT_VEBT) (Xs2 tptp.list_VEBT_VEBT)) (= (@ (@ tptp.member_VEBT_VEBT X) (@ tptp.set_VEBT_VEBT2 Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (= (@ (@ tptp.nth_VEBT_VEBT Xs2) I5) X))))))
% 13.98/14.25 (assume a411 (forall ((X Bool) (Xs2 tptp.list_o)) (= (@ (@ tptp.member_o X) (@ tptp.set_o2 Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_o Xs2)) (= (@ (@ tptp.nth_o Xs2) I5) X))))))
% 13.98/14.25 (assume a412 (forall ((X tptp.nat) (Xs2 tptp.list_nat)) (= (@ (@ tptp.member_nat X) (@ tptp.set_nat2 Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_nat Xs2)) (= (@ (@ tptp.nth_nat Xs2) I5) X))))))
% 13.98/14.25 (assume a413 (forall ((X tptp.int) (Xs2 tptp.list_int)) (= (@ (@ tptp.member_int X) (@ tptp.set_int2 Xs2)) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_int Xs2)) (= (@ (@ tptp.nth_int Xs2) I5) X))))))
% 13.98/14.25 (assume a414 (forall ((Xs2 tptp.list_real) (P (-> tptp.real Bool)) (X tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_real Xs2)) (@ P (@ (@ tptp.nth_real Xs2) I4)))) (=> (@ (@ tptp.member_real X) (@ tptp.set_real2 Xs2)) (@ P X)))))
% 13.98/14.25 (assume a415 (forall ((Xs2 tptp.list_complex) (P (-> tptp.complex Bool)) (X tptp.complex)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_s3451745648224563538omplex Xs2)) (@ P (@ (@ tptp.nth_complex Xs2) I4)))) (=> (@ (@ tptp.member_complex X) (@ tptp.set_complex2 Xs2)) (@ P X)))))
% 13.98/14.25 (assume a416 (forall ((Xs2 tptp.list_P6011104703257516679at_nat) (P (-> tptp.product_prod_nat_nat Bool)) (X tptp.product_prod_nat_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_s5460976970255530739at_nat Xs2)) (@ P (@ (@ tptp.nth_Pr7617993195940197384at_nat Xs2) I4)))) (=> (@ (@ tptp.member8440522571783428010at_nat X) (@ tptp.set_Pr5648618587558075414at_nat Xs2)) (@ P X)))))
% 13.98/14.25 (assume a417 (forall ((Xs2 tptp.list_VEBT_VEBT) (P (-> tptp.vEBT_VEBT Bool)) (X tptp.vEBT_VEBT)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ P (@ (@ tptp.nth_VEBT_VEBT Xs2) I4)))) (=> (@ (@ tptp.member_VEBT_VEBT X) (@ tptp.set_VEBT_VEBT2 Xs2)) (@ P X)))))
% 13.98/14.25 (assume a418 (forall ((Xs2 tptp.list_o) (P (-> Bool Bool)) (X Bool)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_o Xs2)) (@ P (@ (@ tptp.nth_o Xs2) I4)))) (=> (@ (@ tptp.member_o X) (@ tptp.set_o2 Xs2)) (@ P X)))))
% 13.98/14.25 (assume a419 (forall ((Xs2 tptp.list_nat) (P (-> tptp.nat Bool)) (X tptp.nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_nat Xs2)) (@ P (@ (@ tptp.nth_nat Xs2) I4)))) (=> (@ (@ tptp.member_nat X) (@ tptp.set_nat2 Xs2)) (@ P X)))))
% 13.98/14.25 (assume a420 (forall ((Xs2 tptp.list_int) (P (-> tptp.int Bool)) (X tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ tptp.size_size_list_int Xs2)) (@ P (@ (@ tptp.nth_int Xs2) I4)))) (=> (@ (@ tptp.member_int X) (@ tptp.set_int2 Xs2)) (@ P X)))))
% 13.98/14.25 (assume a421 (forall ((Xs2 tptp.list_VEBT_VEBT) (P (-> tptp.vEBT_VEBT Bool))) (= (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 Xs2)) (@ P X2))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ P (@ (@ tptp.nth_VEBT_VEBT Xs2) I5)))))))
% 13.98/14.25 (assume a422 (forall ((Xs2 tptp.list_o) (P (-> Bool Bool))) (= (forall ((X2 Bool)) (=> (@ (@ tptp.member_o X2) (@ tptp.set_o2 Xs2)) (@ P X2))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_o Xs2)) (@ P (@ (@ tptp.nth_o Xs2) I5)))))))
% 13.98/14.25 (assume a423 (forall ((Xs2 tptp.list_nat) (P (-> tptp.nat Bool))) (= (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ tptp.set_nat2 Xs2)) (@ P X2))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_nat Xs2)) (@ P (@ (@ tptp.nth_nat Xs2) I5)))))))
% 13.98/14.25 (assume a424 (forall ((Xs2 tptp.list_int) (P (-> tptp.int Bool))) (= (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) (@ tptp.set_int2 Xs2)) (@ P X2))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.size_size_list_int Xs2)) (@ P (@ (@ tptp.nth_int Xs2) I5)))))))
% 13.98/14.25 (assume a425 (forall ((N2 tptp.nat) (Xs2 tptp.list_real) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_real Xs2)) (@ (@ tptp.member_real X) (@ tptp.set_real2 (@ (@ (@ tptp.list_update_real Xs2) N2) X))))))
% 13.98/14.25 (assume a426 (forall ((N2 tptp.nat) (Xs2 tptp.list_complex) (X tptp.complex)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s3451745648224563538omplex Xs2)) (@ (@ tptp.member_complex X) (@ tptp.set_complex2 (@ (@ (@ tptp.list_update_complex Xs2) N2) X))))))
% 13.98/14.25 (assume a427 (forall ((N2 tptp.nat) (Xs2 tptp.list_P6011104703257516679at_nat) (X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s5460976970255530739at_nat Xs2)) (@ (@ tptp.member8440522571783428010at_nat X) (@ tptp.set_Pr5648618587558075414at_nat (@ (@ (@ tptp.list_u6180841689913720943at_nat Xs2) N2) X))))))
% 13.98/14.25 (assume a428 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ (@ tptp.member_VEBT_VEBT X) (@ tptp.set_VEBT_VEBT2 (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) N2) X))))))
% 13.98/14.25 (assume a429 (forall ((N2 tptp.nat) (Xs2 tptp.list_o) (X Bool)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_o Xs2)) (@ (@ tptp.member_o X) (@ tptp.set_o2 (@ (@ (@ tptp.list_update_o Xs2) N2) X))))))
% 13.98/14.25 (assume a430 (forall ((N2 tptp.nat) (Xs2 tptp.list_nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_nat Xs2)) (@ (@ tptp.member_nat X) (@ tptp.set_nat2 (@ (@ (@ tptp.list_update_nat Xs2) N2) X))))))
% 13.98/14.25 (assume a431 (forall ((N2 tptp.nat) (Xs2 tptp.list_int) (X tptp.int)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.size_size_list_int Xs2)) (@ (@ tptp.member_int X) (@ tptp.set_int2 (@ (@ (@ tptp.list_update_int Xs2) N2) X))))))
% 13.98/14.25 (assume a432 (forall ((I2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (J tptp.nat) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (and (=> (= I2 J) (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) J) X)) (=> (not (= I2 J)) (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X)) J) (@ (@ tptp.nth_VEBT_VEBT Xs2) J)))))))
% 13.98/14.25 (assume a433 (forall ((I2 tptp.nat) (Xs2 tptp.list_o) (X Bool) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_o Xs2)) (= (@ (@ tptp.nth_o (@ (@ (@ tptp.list_update_o Xs2) I2) X)) J) (and (=> (= I2 J) X) (=> (not (= I2 J)) (@ (@ tptp.nth_o Xs2) J)))))))
% 13.98/14.25 (assume a434 (forall ((I2 tptp.nat) (Xs2 tptp.list_nat) (J tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_nat Xs2)) (and (=> (= I2 J) (= (@ (@ tptp.nth_nat (@ (@ (@ tptp.list_update_nat Xs2) I2) X)) J) X)) (=> (not (= I2 J)) (= (@ (@ tptp.nth_nat (@ (@ (@ tptp.list_update_nat Xs2) I2) X)) J) (@ (@ tptp.nth_nat Xs2) J)))))))
% 13.98/14.25 (assume a435 (forall ((I2 tptp.nat) (Xs2 tptp.list_int) (J tptp.nat) (X tptp.int)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_int Xs2)) (and (=> (= I2 J) (= (@ (@ tptp.nth_int (@ (@ (@ tptp.list_update_int Xs2) I2) X)) J) X)) (=> (not (= I2 J)) (= (@ (@ tptp.nth_int (@ (@ (@ tptp.list_update_int Xs2) I2) X)) J) (@ (@ tptp.nth_int Xs2) J)))))))
% 13.98/14.25 (assume a436 (forall ((I2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (= (= (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X) Xs2) (= (@ (@ tptp.nth_VEBT_VEBT Xs2) I2) X)))))
% 13.98/14.25 (assume a437 (forall ((I2 tptp.nat) (Xs2 tptp.list_o) (X Bool)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_o Xs2)) (= (= (@ (@ (@ tptp.list_update_o Xs2) I2) X) Xs2) (= (@ (@ tptp.nth_o Xs2) I2) X)))))
% 13.98/14.25 (assume a438 (forall ((I2 tptp.nat) (Xs2 tptp.list_nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_nat Xs2)) (= (= (@ (@ (@ tptp.list_update_nat Xs2) I2) X) Xs2) (= (@ (@ tptp.nth_nat Xs2) I2) X)))))
% 13.98/14.25 (assume a439 (forall ((I2 tptp.nat) (Xs2 tptp.list_int) (X tptp.int)) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_int Xs2)) (= (= (@ (@ (@ tptp.list_update_int Xs2) I2) X) Xs2) (= (@ (@ tptp.nth_int Xs2) I2) X)))))
% 13.98/14.25 (assume a440 (forall ((X tptp.complex)) (= (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex X) X)) X)) X))))
% 13.98/14.25 (assume a441 (forall ((X tptp.real)) (= (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real X) X)) X)) X))))
% 13.98/14.25 (assume a442 (forall ((X tptp.nat)) (= (@ (@ tptp.power_power_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat X) X)) X)) X))))
% 13.98/14.25 (assume a443 (forall ((X tptp.int)) (= (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int X) X)) X)) X))))
% 13.98/14.25 (assume a444 (forall ((A tptp.complex)) (= (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_complex A) A))))
% 13.98/14.25 (assume a445 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_real A) A))))
% 13.98/14.25 (assume a446 (forall ((A tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat A) A))))
% 13.98/14.25 (assume a447 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_int A) A))))
% 13.98/14.25 (assume a448 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_nat (@ (@ tptp.power_power_nat A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.25 (assume a449 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_real (@ (@ tptp.power_power_real A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.25 (assume a450 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_int (@ (@ tptp.power_power_int A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.25 (assume a451 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_complex (@ (@ tptp.power_power_complex A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.25 (assume a452 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.25 (assume a453 (forall ((K tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K) (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.power_power_nat K) M)))))
% 13.98/14.25 (assume a454 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.25 (assume a455 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) N2) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.25 (assume a456 (and (=> (= tptp.xa tptp.mi) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint tptp.summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ 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.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.xa))))
% 13.98/14.25 (assume a457 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_eq_num (@ tptp.bit0 M)) tptp.one))))
% 13.98/14.25 (assume a458 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_num tptp.one) (@ tptp.bit0 N2))))
% 13.98/14.25 (assume a459 (= (@ (@ tptp.plus_plus_num tptp.one) tptp.one) (@ tptp.bit0 tptp.one)))
% 13.98/14.25 (assume a460 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.vEBT_vebt_insert T) X)) Y) (or (@ (@ tptp.vEBT_vebt_member T) Y) (= X Y))))))))
% 13.98/14.25 (assume a461 (@ (@ tptp.vEBT_vebt_member tptp.summary) (@ (@ tptp.vEBT_VEBT_high tptp.ma) tptp.na)))
% 13.98/14.25 (assume a462 (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) tptp.summin)) tptp.lx))
% 13.98/14.25 (assume a463 (forall ((Tree tptp.vEBT_VEBT) (X tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_vebt_member Tree) X) (=> (@ (@ tptp.vEBT_invar_vebt Tree) N2) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.25 (assume a464 (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_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.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)))) tptp.deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) tptp.summary)))
% 13.98/14.25 (assume a465 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2))))))
% 13.98/14.25 (assume a466 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.divide_divide_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2))))))
% 13.98/14.25 (assume a467 (forall ((A tptp.code_integer) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2))))))
% 13.98/14.25 (assume a468 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) Y)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 13.98/14.25 (assume a469 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_num tptp.one) N2)))
% 13.98/14.25 (assume a470 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (=> (@ tptp.vEBT_VEBT_minNull T) (not (@ (@ tptp.vEBT_vebt_member T) X)))))
% 13.98/14.25 (assume a471 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (@ (@ tptp.vEBT_V8194947554948674370ptions T) X) (@ (@ tptp.vEBT_vebt_member T) X)))))
% 13.98/14.25 (assume a472 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (@ (@ tptp.vEBT_V8194947554948674370ptions T) X) (@ (@ tptp.vEBT_vebt_member T) X)))))
% 13.98/14.25 (assume a473 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.bit0 M) (@ tptp.bit0 N2)) (= M N2))))
% 13.98/14.25 (assume a474 (forall ((R tptp.real) (A tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real R) A)) (@ (@ tptp.times_times_real R) R)) (@ (@ tptp.divide_divide_real A) R))))
% 13.98/14.25 (assume a475 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) Deg) (=> (= Mi Ma) (and (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12))))) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) X_12))))))))
% 13.98/14.25 (assume a476 (forall ((N2 tptp.num)) (not (= tptp.one (@ tptp.bit0 N2)))))
% 13.98/14.25 (assume a477 (forall ((M tptp.num)) (not (= (@ tptp.bit0 M) tptp.one))))
% 13.98/14.25 (assume a478 (forall ((A tptp.nat)) (= (@ (@ tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 13.98/14.25 (assume a479 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int A) tptp.one_one_int) A)))
% 13.98/14.25 (assume a480 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger A) tptp.one_one_Code_integer) A)))
% 13.98/14.25 (assume a481 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (= X Mi) (= X Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary))))))
% 13.98/14.25 (assume a482 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (@ (@ tptp.vEBT_vebt_member T) X) (@ (@ tptp.member_nat X) (@ tptp.vEBT_set_vebt T))))))
% 13.98/14.25 (assume a483 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ tptp.bit0 (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.25 (assume a484 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ tptp.bit0 (@ tptp.bit0 (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.25 (assume a485 (forall ((M tptp.num)) (= (@ (@ tptp.times_times_num M) tptp.one) M)))
% 13.98/14.25 (assume a486 (forall ((N2 tptp.num)) (= (@ (@ tptp.times_times_num tptp.one) N2) N2)))
% 13.98/14.25 (assume a487 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (@ (@ tptp.ord_less_nat X) Mi) (@ (@ tptp.ord_less_nat Ma) X)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary))))))
% 13.98/14.25 (assume a488 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.25 (assume a489 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.25 (assume a490 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_num M) tptp.one))))
% 13.98/14.25 (assume a491 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) N2) (and (@ (@ tptp.ord_less_eq_nat Mi) Ma) (@ (@ tptp.ord_less_nat Ma) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg))))))
% 13.98/14.25 (assume a492 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) Deg) (=> (not (= Mi Ma)) (= (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt Summary)) (@ (@ tptp.vEBT_VEBT_high Ma) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.25 (assume a493 (forall ((Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) Deg) (=> (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (or (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= X Mi) (= X Ma))))))
% 13.98/14.25 (assume a494 (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) tptp.deg) tptp.treeList) tptp.summary)) tptp.deg))
% 13.98/14.25 (assume a495 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (=> (@ (@ tptp.vEBT_vebt_member (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (and (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (or (= X Mi) (= X Ma) (and (@ (@ tptp.ord_less_nat X) Ma) (@ (@ tptp.ord_less_nat Mi) X) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))
% 13.98/14.25 (assume a496 (forall ((X tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) Deg) (=> (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X))))))
% 13.98/14.25 (assume a497 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H2 tptp.nat) (L2 tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (@ (@ tptp.ord_less_nat Mi) X) (@ (@ tptp.ord_less_eq_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (= Newnode (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2)) (=> (not (@ tptp.vEBT_VEBT_minNull Newnode)) (=> (= Newlist (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) Newnode)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ (@ tptp.if_nat (= X Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT Newlist) H2))))) Ma)))) Deg) Newlist) Summary)))))))))))))
% 13.98/14.25 (assume a498 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H2 tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (L2 tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (= X Mi) (@ (@ tptp.ord_less_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= Xn (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (=> (= (@ (@ tptp.vEBT_VEBT_low Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (=> (= Newnode (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2)) (=> (= Newlist (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) Newnode)) (=> (not (@ tptp.vEBT_VEBT_minNull Newnode)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xn) (@ (@ (@ tptp.if_nat (= Xn Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT Newlist) H2))))) Ma)))) Deg) Newlist) Summary))))))))))))))
% 13.98/14.25 (assume a499 (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) tptp.deg) tptp.treeList) tptp.summary)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)))
% 13.98/14.25 (assume a500 (= (@ tptp.some_nat tptp.summin) (@ tptp.vEBT_vebt_mint tptp.summary)))
% 13.98/14.25 (assume a501 (= (@ tptp.some_nat tptp.lx) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) tptp.summin))))
% 13.98/14.25 (assume a502 (forall ((S tptp.set_real)) (=> (exists ((X3 tptp.real)) (@ (@ tptp.member_real X3) S)) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (@ (@ tptp.ord_less_eq_real X5) Z3)))) (exists ((Y5 tptp.real)) (and (forall ((X3 tptp.real)) (=> (@ (@ tptp.member_real X3) S) (@ (@ tptp.ord_less_eq_real X3) Y5))) (forall ((Z3 tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (@ (@ tptp.ord_less_eq_real X5) Z3))) (@ (@ tptp.ord_less_eq_real Y5) Z3)))))))))
% 13.98/14.25 (assume a503 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_real Y) (@ (@ tptp.power_power_real X) N4))))))
% 13.98/14.25 (assume a504 (= tptp.ord_less_eq_real (lambda ((X2 tptp.real) (Y3 tptp.real)) (or (@ (@ tptp.ord_less_real X2) Y3) (= X2 Y3)))))
% 13.98/14.25 (assume a505 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.25 (assume a506 (forall ((I2 tptp.nat) (U tptp.nat) (J tptp.nat) (K tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) K)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat I2) J)) U)) K))))
% 13.98/14.25 (assume a507 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.divide_divide_real X) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_real X) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X)))
% 13.98/14.25 (assume a508 (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (@ (@ tptp.vEBT_invar_vebt X5) N2))) (=> (@ (@ tptp.vEBT_invar_vebt Summary) M) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (=> (= M N2) (=> (= Deg (@ (@ tptp.plus_plus_nat N2) M)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I4)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) I4)))) (=> (=> (= Mi Ma) (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X5) X_1)))))) (=> (@ (@ tptp.ord_less_eq_nat Mi) Ma) (=> (@ (@ tptp.ord_less_nat Ma) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg)) (=> (=> (not (= Mi Ma)) (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high Ma) N2) I4) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I4)) (@ (@ tptp.vEBT_VEBT_low Ma) N2))) (forall ((X5 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high X5) N2) I4) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I4)) (@ (@ tptp.vEBT_VEBT_low X5) N2))) (and (@ (@ tptp.ord_less_nat Mi) X5) (@ (@ tptp.ord_less_eq_nat X5) Ma)))))))) (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) Deg)))))))))))))
% 13.98/14.25 (assume a509 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N2 tptp.nat) (Va tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) N2) (=> (= N2 (@ tptp.suc (@ tptp.suc Va))) (=> (not (@ (@ tptp.ord_less_nat Ma) Mi)) (=> (not (= Ma Mi)) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Va) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ tptp.suc (@ (@ tptp.divide_divide_nat Va) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))))))))
% 13.98/14.25 (assume a510 (forall ((X tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (=> (@ (@ tptp.ord_less_nat Mi) X) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (not (= X Ma)) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ tptp.ord_max_nat X) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_insert Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) Summary)))))))))
% 13.98/14.25 (assume a511 (forall ((Mi tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (X tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Mi) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (=> (@ (@ tptp.ord_less_nat X) Mi) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (not (= X Ma)) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat X) (@ (@ tptp.ord_max_nat Mi) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high Mi) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high Mi) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Mi) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high Mi) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_insert Summary) (@ (@ tptp.vEBT_VEBT_high Mi) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) Summary)))))))))
% 13.98/14.25 (assume a512 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (= X Mi) (= X Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg) TreeList2) Summary))))))
% 13.98/14.25 (assume a513 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat M) N2) tptp.one_one_nat) (and (= M tptp.one_one_nat) (= N2 tptp.one_one_nat)))))
% 13.98/14.25 (assume a514 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= tptp.one_one_nat (@ (@ tptp.times_times_nat M) N2)) (and (= M tptp.one_one_nat) (= N2 tptp.one_one_nat)))))
% 13.98/14.25 (assume a515 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat K) M)) (@ (@ tptp.plus_plus_nat K) N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.25 (assume a516 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat K) M)) (@ (@ tptp.plus_plus_nat K) N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.25 (assume a517 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.numera1916890842035813515d_enat M)) (@ tptp.numera1916890842035813515d_enat N2)) (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.25 (assume a518 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.numera1916890842035813515d_enat M)) (@ tptp.numera1916890842035813515d_enat N2)) (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.25 (assume a519 (forall ((X tptp.nat)) (=> (forall ((N4 tptp.nat)) (not (= X (@ (@ tptp.plus_plus_nat N4) N4)))) (not (forall ((N4 tptp.nat)) (not (= X (@ (@ tptp.plus_plus_nat N4) (@ tptp.suc N4)))))))))
% 13.98/14.25 (assume a520 (forall ((Tree tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt Tree) (@ tptp.suc (@ tptp.suc N2))) (exists ((Info2 tptp.option4927543243414619207at_nat) (TreeList3 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (= Tree (@ (@ (@ (@ tptp.vEBT_Node Info2) (@ tptp.suc (@ tptp.suc N2))) TreeList3) S2))))))
% 13.98/14.25 (assume a521 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (=> (= (@ tptp.vEBT_vebt_maxt T) (@ tptp.some_nat X)) (@ (@ tptp.vEBT_V8194947554948674370ptions T) X))))
% 13.98/14.25 (assume a522 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (@ (@ tptp.power_power_nat X) Y) Z) (= (@ (@ tptp.vEBT_VEBT_power (@ tptp.some_nat X)) (@ tptp.some_nat Y)) (@ tptp.some_nat Z)))))
% 13.98/14.25 (assume a523 (not (forall ((Summin tptp.nat)) (not (= (@ tptp.some_nat Summin) (@ tptp.vEBT_vebt_mint tptp.summary))))))
% 13.98/14.25 (assume a524 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (Maxi tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_mint T) (@ tptp.some_nat Maxi)) (@ (@ tptp.vEBT_vebt_member T) Maxi)))))
% 13.98/14.25 (assume a525 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (Maxi tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_maxt T) (@ tptp.some_nat Maxi)) (@ (@ tptp.vEBT_vebt_member T) Maxi)))))
% 13.98/14.25 (assume a526 (= (@ tptp.suc tptp.na) tptp.m))
% 13.98/14.25 (assume a527 (forall ((Nat tptp.nat) (Nat2 tptp.nat)) (= (= (@ tptp.suc Nat) (@ tptp.suc Nat2)) (= Nat Nat2))))
% 13.98/14.25 (assume a528 (forall ((X22 tptp.nat) (Y22 tptp.nat)) (= (= (@ tptp.suc X22) (@ tptp.suc Y22)) (= X22 Y22))))
% 13.98/14.25 (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)))))
% 13.98/14.25 (assume a530 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (Mini tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_mint T) (@ tptp.some_nat Mini)) (=> (@ (@ tptp.vEBT_vebt_member T) X) (@ (@ tptp.ord_less_eq_nat Mini) X))))))
% 13.98/14.25 (assume a531 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (Maxi tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_maxt T) (@ tptp.some_nat Maxi)) (=> (@ (@ tptp.vEBT_vebt_member T) X) (@ (@ tptp.ord_less_eq_nat X) Maxi))))))
% 13.98/14.25 (assume a532 (not (forall ((Lx tptp.nat)) (not (= (@ tptp.some_nat Lx) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) tptp.summin)))))))
% 13.98/14.25 (assume a533 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_nat N2) (@ tptp.suc N2))))
% 13.98/14.25 (assume a534 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_nat (@ tptp.suc M)) (@ tptp.suc N2)))))
% 13.98/14.25 (assume a535 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.suc M)) (@ tptp.suc N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.25 (assume a536 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.some_nat M) (@ tptp.vEBT_vebt_mint T)) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.25 (assume a537 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.suc N2)) (@ tptp.suc M)) (@ (@ tptp.ord_less_eq_nat N2) M))))
% 13.98/14.25 (assume a538 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat M) (@ tptp.suc N2)) (@ tptp.suc (@ (@ tptp.plus_plus_nat M) N2)))))
% 13.98/14.25 (assume a539 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_max_nat (@ tptp.suc M)) (@ tptp.suc N2)) (@ tptp.suc (@ (@ tptp.ord_max_nat M) N2)))))
% 13.98/14.25 (assume a540 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ 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.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger U)) (@ tptp.numera6620942414471956472nteger V))) (= (@ (@ tptp.ord_max_Code_integer (@ tptp.numera6620942414471956472nteger U)) (@ tptp.numera6620942414471956472nteger V)) (@ tptp.numera6620942414471956472nteger U))))))
% 13.98/14.25 (assume a541 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.numera1916890842035813515d_enat U)) (@ tptp.numera1916890842035813515d_enat V)) (= (@ (@ tptp.ord_ma741700101516333627d_enat (@ tptp.numera1916890842035813515d_enat U)) (@ tptp.numera1916890842035813515d_enat V)) (@ tptp.numera1916890842035813515d_enat V))) (=> (not (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.numera1916890842035813515d_enat U)) (@ tptp.numera1916890842035813515d_enat V))) (= (@ (@ tptp.ord_ma741700101516333627d_enat (@ tptp.numera1916890842035813515d_enat U)) (@ tptp.numera1916890842035813515d_enat V)) (@ tptp.numera1916890842035813515d_enat U))))))
% 13.98/14.25 (assume a542 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real V)) (= (@ (@ tptp.ord_max_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real V)) (@ tptp.numeral_numeral_real V))) (=> (not (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real V))) (= (@ (@ tptp.ord_max_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real V)) (@ tptp.numeral_numeral_real U))))))
% 13.98/14.25 (assume a543 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat U)) (@ tptp.numeral_numeral_nat V)) (= (@ (@ tptp.ord_max_nat (@ tptp.numeral_numeral_nat U)) (@ tptp.numeral_numeral_nat V)) (@ tptp.numeral_numeral_nat V))) (=> (not (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat U)) (@ tptp.numeral_numeral_nat V))) (= (@ (@ tptp.ord_max_nat (@ tptp.numeral_numeral_nat U)) (@ tptp.numeral_numeral_nat V)) (@ tptp.numeral_numeral_nat U))))))
% 13.98/14.25 (assume a544 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int U)) (@ tptp.numeral_numeral_int V)) (= (@ (@ tptp.ord_max_int (@ tptp.numeral_numeral_int U)) (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int V))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int U)) (@ tptp.numeral_numeral_int V))) (= (@ (@ tptp.ord_max_int (@ tptp.numeral_numeral_int U)) (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int U))))))
% 13.98/14.25 (assume a545 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_Code_integer tptp.one_one_Code_integer) (@ tptp.numera6620942414471956472nteger X)) (@ tptp.numera6620942414471956472nteger X))))
% 13.98/14.25 (assume a546 (forall ((X tptp.num)) (= (@ (@ tptp.ord_ma741700101516333627d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat X)) (@ tptp.numera1916890842035813515d_enat X))))
% 13.98/14.25 (assume a547 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_real tptp.one_one_real) (@ tptp.numeral_numeral_real X)) (@ tptp.numeral_numeral_real X))))
% 13.98/14.25 (assume a548 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat X))))
% 13.98/14.25 (assume a549 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_int tptp.one_one_int) (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int X))))
% 13.98/14.25 (assume a550 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_Code_integer (@ tptp.numera6620942414471956472nteger X)) tptp.one_one_Code_integer) (@ tptp.numera6620942414471956472nteger X))))
% 13.98/14.25 (assume a551 (forall ((X tptp.num)) (= (@ (@ tptp.ord_ma741700101516333627d_enat (@ tptp.numera1916890842035813515d_enat X)) tptp.one_on7984719198319812577d_enat) (@ tptp.numera1916890842035813515d_enat X))))
% 13.98/14.25 (assume a552 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_real (@ tptp.numeral_numeral_real X)) tptp.one_one_real) (@ tptp.numeral_numeral_real X))))
% 13.98/14.25 (assume a553 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_nat (@ tptp.numeral_numeral_nat X)) tptp.one_one_nat) (@ tptp.numeral_numeral_nat X))))
% 13.98/14.25 (assume a554 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_int (@ tptp.numeral_numeral_int X)) tptp.one_one_int) (@ tptp.numeral_numeral_int X))))
% 13.98/14.25 (assume a555 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat M) (@ tptp.suc N2)) (@ (@ tptp.plus_plus_nat M) (@ (@ tptp.times_times_nat M) N2)))))
% 13.98/14.25 (assume a556 (forall ((N2 tptp.num)) (= (@ tptp.suc (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.25 (assume a557 (= tptp.ord_less_eq_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ tptp.vEBT_VEBT_lesseq (@ tptp.some_nat X2)) (@ tptp.some_nat Y3)))))
% 13.98/14.26 (assume a558 (forall ((N2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ tptp.suc (@ tptp.suc N2)))))
% 13.98/14.26 (assume a559 (forall ((N2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc N2)))))
% 13.98/14.26 (assume a560 (forall ((M tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ (@ tptp.divide_divide_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a561 (= (@ tptp.suc tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))
% 13.98/14.26 (assume a562 (forall ((N2 tptp.nat)) (not (= N2 (@ tptp.suc N2)))))
% 13.98/14.26 (assume a563 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ tptp.suc X) (@ tptp.suc Y)) (= X Y))))
% 13.98/14.26 (assume a564 (forall ((P (-> tptp.extended_enat Bool)) (N2 tptp.extended_enat)) (=> (forall ((N4 tptp.extended_enat)) (=> (forall ((M2 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat M2) N4) (@ P M2))) (@ P N4))) (@ P N2))))
% 13.98/14.26 (assume a565 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.ord_max_nat M) N2)) Q2) (@ (@ tptp.ord_max_nat (@ (@ tptp.plus_plus_nat M) Q2)) (@ (@ tptp.plus_plus_nat N2) Q2)))))
% 13.98/14.26 (assume a566 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat M) (@ (@ tptp.ord_max_nat N2) Q2)) (@ (@ tptp.ord_max_nat (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_nat M) Q2)))))
% 13.98/14.26 (assume a567 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.ord_max_nat M) N2)) Q2) (@ (@ tptp.ord_max_nat (@ (@ tptp.times_times_nat M) Q2)) (@ (@ tptp.times_times_nat N2) Q2)))))
% 13.98/14.26 (assume a568 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.times_times_nat M) (@ (@ tptp.ord_max_nat N2) Q2)) (@ (@ tptp.ord_max_nat (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_times_nat M) Q2)))))
% 13.98/14.26 (assume a569 (forall ((I2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) K) (=> (not (= K (@ tptp.suc I2))) (not (forall ((J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J2) (not (= K (@ tptp.suc J2))))))))))
% 13.98/14.26 (assume a570 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc M)) N2) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.26 (assume a571 (forall ((I2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc I2)) K) (not (forall ((J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J2) (not (= K (@ tptp.suc J2)))))))))
% 13.98/14.26 (assume a572 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (=> (not (= (@ tptp.suc M) N2)) (@ (@ tptp.ord_less_nat (@ tptp.suc M)) N2)))))
% 13.98/14.26 (assume a573 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) (@ tptp.suc N2)) (=> (not (@ (@ tptp.ord_less_nat M) N2)) (= M N2)))))
% 13.98/14.26 (assume a574 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_nat M) (@ tptp.suc N2)))))
% 13.98/14.26 (assume a575 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.suc N2)) (@ P I5))) (or (@ P N2) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) N2) (@ P I5)))))))
% 13.98/14.26 (assume a576 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat M) (@ tptp.suc N2)) (or (@ (@ tptp.ord_less_nat M) N2) (= M N2)))))
% 13.98/14.26 (assume a577 (forall ((M tptp.nat) (N2 tptp.nat)) (= (not (@ (@ tptp.ord_less_nat M) N2)) (@ (@ tptp.ord_less_nat N2) (@ tptp.suc M)))))
% 13.98/14.26 (assume a578 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.suc N2)) (@ P I5))) (and (@ P N2) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) N2) (@ P I5)))))))
% 13.98/14.26 (assume a579 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (exists ((M3 tptp.nat)) (and (= M (@ tptp.suc M3)) (@ (@ tptp.ord_less_nat N2) M3))))))
% 13.98/14.26 (assume a580 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat N2) M)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.suc M)) (= M N2)))))
% 13.98/14.26 (assume a581 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc M)) (@ tptp.suc N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.26 (assume a582 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (=> (@ (@ tptp.ord_less_nat J) K) (@ (@ tptp.ord_less_nat (@ tptp.suc I2)) K)))))
% 13.98/14.26 (assume a583 (forall ((I2 tptp.nat) (J tptp.nat) (P (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.ord_less_nat I2) J) (=> (forall ((I4 tptp.nat)) (@ (@ P I4) (@ tptp.suc I4))) (=> (forall ((I4 tptp.nat) (J2 tptp.nat) (K2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) J2) (=> (@ (@ tptp.ord_less_nat J2) K2) (=> (@ (@ P I4) J2) (=> (@ (@ P J2) K2) (@ (@ P I4) K2)))))) (@ (@ P I2) J))))))
% 13.98/14.26 (assume a584 (forall ((I2 tptp.nat) (J tptp.nat) (P (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_nat I2) J) (=> (forall ((I4 tptp.nat)) (=> (= J (@ tptp.suc I4)) (@ P I4))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) J) (=> (@ P (@ tptp.suc I4)) (@ P I4)))) (@ P I2))))))
% 13.98/14.26 (assume a585 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat N2) M)) (= (@ (@ tptp.ord_less_nat N2) (@ tptp.suc M)) (= N2 M)))))
% 13.98/14.26 (assume a586 (forall ((M tptp.nat) (N2 tptp.nat) (R2 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (=> (forall ((X5 tptp.nat)) (@ (@ R2 X5) X5)) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat) (Z4 tptp.nat)) (=> (@ (@ R2 X5) Y5) (=> (@ (@ R2 Y5) Z4) (@ (@ R2 X5) Z4)))) (=> (forall ((N4 tptp.nat)) (@ (@ R2 N4) (@ tptp.suc N4))) (@ (@ R2 M) N2)))))))
% 13.98/14.26 (assume a587 (forall ((M tptp.nat) (N2 tptp.nat) (P (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (=> (@ P M) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N4) (=> (@ P N4) (@ P (@ tptp.suc N4))))) (@ P N2))))))
% 13.98/14.26 (assume a588 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (forall ((N4 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.suc M2)) N4) (@ P M2))) (@ P N4))) (@ P N2))))
% 13.98/14.26 (assume a589 (forall ((M tptp.nat) (N2 tptp.nat)) (= (not (@ (@ tptp.ord_less_eq_nat M) N2)) (@ (@ tptp.ord_less_eq_nat (@ tptp.suc N2)) M))))
% 13.98/14.26 (assume a590 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_eq_nat (@ tptp.suc N2)) N2))))
% 13.98/14.26 (assume a591 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (or (@ (@ tptp.ord_less_eq_nat M) N2) (= M (@ tptp.suc N2))))))
% 13.98/14.26 (assume a592 (forall ((N2 tptp.nat) (M4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.suc N2)) M4) (exists ((M5 tptp.nat)) (= M4 (@ tptp.suc M5))))))
% 13.98/14.26 (assume a593 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)))))
% 13.98/14.26 (assume a594 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (=> (not (@ (@ tptp.ord_less_eq_nat M) N2)) (= M (@ tptp.suc N2))))))
% 13.98/14.26 (assume a595 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.suc M)) N2) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a596 (forall ((A2 tptp.nat) (K tptp.nat) (A tptp.nat)) (=> (= A2 (@ (@ tptp.plus_plus_nat K) A)) (= (@ tptp.suc A2) (@ (@ tptp.plus_plus_nat K) (@ tptp.suc A))))))
% 13.98/14.26 (assume a597 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ tptp.suc M)) N2) (@ tptp.suc (@ (@ tptp.plus_plus_nat M) N2)))))
% 13.98/14.26 (assume a598 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ tptp.suc M)) N2) (@ (@ tptp.plus_plus_nat M) (@ tptp.suc N2)))))
% 13.98/14.26 (assume a599 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat (@ tptp.suc K)) M) (@ (@ tptp.times_times_nat (@ tptp.suc K)) N2)) (= M N2))))
% 13.98/14.26 (assume a600 (forall ((F (-> tptp.nat tptp.extended_enat)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_le72135733267957522d_enat (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_nat N2) N5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a601 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_real (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_nat N2) N5) (@ (@ tptp.ord_less_real (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a602 (forall ((F (-> tptp.nat tptp.num)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_num (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_nat N2) N5) (@ (@ tptp.ord_less_num (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a603 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_nat (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_nat N2) N5) (@ (@ tptp.ord_less_nat (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a604 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_int (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_nat N2) N5) (@ (@ tptp.ord_less_int (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a605 (forall ((F (-> tptp.nat tptp.extended_enat)) (N2 tptp.nat) (M tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_le72135733267957522d_enat (@ F N4)) (@ F (@ tptp.suc N4)))) (= (@ (@ tptp.ord_le72135733267957522d_enat (@ F N2)) (@ F M)) (@ (@ tptp.ord_less_nat N2) M)))))
% 13.98/14.26 (assume a606 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat) (M tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_real (@ F N4)) (@ F (@ tptp.suc N4)))) (= (@ (@ tptp.ord_less_real (@ F N2)) (@ F M)) (@ (@ tptp.ord_less_nat N2) M)))))
% 13.98/14.26 (assume a607 (forall ((F (-> tptp.nat tptp.num)) (N2 tptp.nat) (M tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_num (@ F N4)) (@ F (@ tptp.suc N4)))) (= (@ (@ tptp.ord_less_num (@ F N2)) (@ F M)) (@ (@ tptp.ord_less_nat N2) M)))))
% 13.98/14.26 (assume a608 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat) (M tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_nat (@ F N4)) (@ F (@ tptp.suc N4)))) (= (@ (@ tptp.ord_less_nat (@ F N2)) (@ F M)) (@ (@ tptp.ord_less_nat N2) M)))))
% 13.98/14.26 (assume a609 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat) (M tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_int (@ F N4)) (@ F (@ tptp.suc N4)))) (= (@ (@ tptp.ord_less_int (@ F N2)) (@ F M)) (@ (@ tptp.ord_less_nat N2) M)))))
% 13.98/14.26 (assume a610 (forall ((F (-> tptp.nat tptp.set_real)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_real (@ F (@ tptp.suc N4))) (@ F N4))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_set_real (@ F N5)) (@ F N2))))))
% 13.98/14.26 (assume a611 (forall ((F (-> tptp.nat tptp.set_nat)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ F (@ tptp.suc N4))) (@ F N4))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_set_nat (@ F N5)) (@ F N2))))))
% 13.98/14.26 (assume a612 (forall ((F (-> tptp.nat tptp.num)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_num (@ F (@ tptp.suc N4))) (@ F N4))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_num (@ F N5)) (@ F N2))))))
% 13.98/14.26 (assume a613 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.suc N4))) (@ F N4))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_nat (@ F N5)) (@ F N2))))))
% 13.98/14.26 (assume a614 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.suc N4))) (@ F N4))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_int (@ F N5)) (@ F N2))))))
% 13.98/14.26 (assume a615 (forall ((F (-> tptp.nat tptp.set_real)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_real (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_set_real (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a616 (forall ((F (-> tptp.nat tptp.set_nat)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_set_nat (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a617 (forall ((F (-> tptp.nat tptp.num)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_num (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_num (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a618 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a619 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat) (N5 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (@ (@ tptp.ord_less_eq_nat N2) N5) (@ (@ tptp.ord_less_eq_int (@ F N2)) (@ F N5))))))
% 13.98/14.26 (assume a620 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ tptp.suc M)) N2))))
% 13.98/14.26 (assume a621 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.suc M)) N2) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.26 (assume a622 (forall ((I2 tptp.nat) (J tptp.nat) (P (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (=> (@ P I2) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) N4) (=> (@ (@ tptp.ord_less_nat N4) J) (=> (@ P N4) (@ P (@ tptp.suc N4)))))) (@ P J))))))
% 13.98/14.26 (assume a623 (forall ((I2 tptp.nat) (J tptp.nat) (P (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (=> (@ P J) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) N4) (=> (@ (@ tptp.ord_less_nat N4) J) (=> (@ P (@ tptp.suc N4)) (@ P N4))))) (@ P I2))))))
% 13.98/14.26 (assume a624 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.suc M)) N2) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.26 (assume a625 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.ord_less_nat N2) (@ tptp.suc M)) (= N2 M)))))
% 13.98/14.26 (assume a626 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat M) (@ tptp.suc N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a627 (= tptp.ord_less_nat (lambda ((N tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.suc N)) __flatten_var_0))))
% 13.98/14.26 (assume a628 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_nat M) (@ tptp.suc N2)))))
% 13.98/14.26 (assume a629 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (not (forall ((Q3 tptp.nat)) (not (= N2 (@ tptp.suc (@ (@ tptp.plus_plus_nat M) Q3)))))))))
% 13.98/14.26 (assume a630 (forall ((I2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_nat I2) (@ tptp.suc (@ (@ tptp.plus_plus_nat I2) M)))))
% 13.98/14.26 (assume a631 (forall ((I2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_nat I2) (@ tptp.suc (@ (@ tptp.plus_plus_nat M) I2)))))
% 13.98/14.26 (assume a632 (= tptp.ord_less_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (exists ((K3 tptp.nat)) (= N (@ tptp.suc (@ (@ tptp.plus_plus_nat M6) K3)))))))
% 13.98/14.26 (assume a633 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (exists ((K2 tptp.nat)) (= N2 (@ tptp.suc (@ (@ tptp.plus_plus_nat M) K2)))))))
% 13.98/14.26 (assume a634 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat (@ tptp.suc K)) M)) (@ (@ tptp.times_times_nat (@ tptp.suc K)) N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.26 (assume a635 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat (@ tptp.suc K)) M)) (@ (@ tptp.times_times_nat (@ tptp.suc K)) N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a636 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.suc M)) N2) (@ (@ tptp.plus_plus_nat N2) (@ (@ tptp.times_times_nat M) N2)))))
% 13.98/14.26 (assume a637 (= tptp.suc (@ tptp.plus_plus_nat tptp.one_one_nat)))
% 13.98/14.26 (assume a638 (= (@ tptp.plus_plus_nat tptp.one_one_nat) tptp.suc))
% 13.98/14.26 (assume a639 (= tptp.suc (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_nat N) tptp.one_one_nat))))
% 13.98/14.26 (assume a640 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex A) (@ tptp.suc N2)) (@ (@ tptp.times_times_complex A) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.26 (assume a641 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real A) (@ tptp.suc N2)) (@ (@ tptp.times_times_real A) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.26 (assume a642 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ tptp.suc N2)) (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.26 (assume a643 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int A) (@ tptp.suc N2)) (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.26 (assume a644 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex A) (@ tptp.suc N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) N2)) A))))
% 13.98/14.26 (assume a645 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real A) (@ tptp.suc N2)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) N2)) A))))
% 13.98/14.26 (assume a646 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ tptp.suc N2)) (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) N2)) A))))
% 13.98/14.26 (assume a647 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int A) (@ tptp.suc N2)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) N2)) A))))
% 13.98/14.26 (assume a648 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.divide_divide_nat M) N2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc M)) N2))))
% 13.98/14.26 (assume a649 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.power_power_real A) (@ tptp.suc N2))))))
% 13.98/14.26 (assume a650 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (@ (@ tptp.ord_less_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat A) (@ tptp.suc N2))))))
% 13.98/14.26 (assume a651 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.power_power_int A) (@ tptp.suc N2))))))
% 13.98/14.26 (assume a652 (forall ((M tptp.nat) (N2 tptp.nat)) (= (not (= M N2)) (or (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_nat N2) M)))))
% 13.98/14.26 (assume a653 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat N2) N2))))
% 13.98/14.26 (assume a654 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) M) (not (= M N2)))))
% 13.98/14.26 (assume a655 (forall ((S3 tptp.nat) (T tptp.nat)) (=> (@ (@ tptp.ord_less_nat S3) T) (not (= S3 T)))))
% 13.98/14.26 (assume a656 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat N2) N2))))
% 13.98/14.26 (assume a657 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (forall ((N4 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M2) N4) (@ P M2))) (@ P N4))) (@ P N2))))
% 13.98/14.26 (assume a658 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (forall ((N4 tptp.nat)) (=> (not (@ P N4)) (exists ((M2 tptp.nat)) (and (@ (@ tptp.ord_less_nat M2) N4) (not (@ P M2)))))) (@ P N2))))
% 13.98/14.26 (assume a659 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_nat X) Y)) (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a660 (forall ((P (-> tptp.nat Bool)) (K tptp.nat) (B tptp.nat)) (=> (@ P K) (=> (forall ((Y5 tptp.nat)) (=> (@ P Y5) (@ (@ tptp.ord_less_eq_nat Y5) B))) (exists ((X5 tptp.nat)) (and (@ P X5) (forall ((Y2 tptp.nat)) (=> (@ P Y2) (@ (@ tptp.ord_less_eq_nat Y2) X5)))))))))
% 13.98/14.26 (assume a661 (forall ((M tptp.nat) (N2 tptp.nat)) (or (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat N2) M))))
% 13.98/14.26 (assume a662 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= M N2)))))
% 13.98/14.26 (assume a663 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (= M N2) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a664 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (=> (@ (@ tptp.ord_less_eq_nat J) K) (@ (@ tptp.ord_less_eq_nat I2) K)))))
% 13.98/14.26 (assume a665 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat N2) N2)))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a667 (forall ((X tptp.list_o) (Y tptp.list_o)) (=> (not (= (@ tptp.size_size_list_o X) (@ tptp.size_size_list_o Y))) (not (= X Y)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a670 (forall ((X tptp.num) (Y tptp.num)) (=> (not (= (@ tptp.size_size_num X) (@ tptp.size_size_num Y))) (not (= X Y)))))
% 13.98/14.26 (assume a671 (forall ((N2 tptp.nat) (Q2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat N2) Q2)) M) (=> (@ (@ tptp.ord_less_nat M) (@ (@ tptp.times_times_nat N2) (@ tptp.suc Q2))) (= (@ (@ tptp.divide_divide_nat M) N2) Q2)))))
% 13.98/14.26 (assume a672 (forall ((V tptp.num) (N2 tptp.nat)) (= (@ tptp.suc (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat V)) N2)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ (@ tptp.plus_plus_num V) tptp.one))) N2))))
% 13.98/14.26 (assume a673 (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (@ (@ tptp.vEBT_invar_vebt X5) N2))) (=> (@ (@ tptp.vEBT_invar_vebt Summary) M) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (=> (= M (@ tptp.suc N2)) (=> (= Deg (@ (@ tptp.plus_plus_nat N2) M)) (=> (not (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) X_1))) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X5) X_1))))) (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg) TreeList2) Summary)) Deg))))))))))
% 13.98/14.26 (assume a674 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.times_times_complex A) (@ (@ tptp.power_power_complex (@ (@ tptp.power_power_complex A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a675 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.times_times_real A) (@ (@ tptp.power_power_real (@ (@ tptp.power_power_real A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a676 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat (@ (@ tptp.power_power_nat A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a677 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int (@ (@ tptp.power_power_int A) N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a678 (= tptp.ord_less_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat M6) N) (not (= M6 N))))))
% 13.98/14.26 (assume a679 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a680 (= tptp.ord_less_eq_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (or (@ (@ tptp.ord_less_nat M6) N) (= M6 N)))))
% 13.98/14.26 (assume a681 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (or (@ (@ tptp.ord_less_nat M) N2) (= M N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a682 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (=> (not (= M N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.26 (assume a683 (forall ((F (-> tptp.nat tptp.nat)) (I2 tptp.nat) (J tptp.nat)) (=> (forall ((I4 tptp.nat) (J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) J2) (@ (@ tptp.ord_less_nat (@ F I4)) (@ F J2)))) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat (@ F I2)) (@ F J))))))
% 13.98/14.26 (assume a684 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) J)) K) (@ (@ tptp.ord_less_nat I2) K))))
% 13.98/14.26 (assume a685 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (=> (@ (@ tptp.ord_less_nat K) L2) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2))))))
% 13.98/14.26 (assume a686 (forall ((I2 tptp.nat) (J tptp.nat)) (not (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) J)) I2))))
% 13.98/14.26 (assume a687 (forall ((J tptp.nat) (I2 tptp.nat)) (not (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat J) I2)) I2))))
% 13.98/14.26 (assume a688 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) K)))))
% 13.98/14.26 (assume a689 (forall ((I2 tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (@ (@ tptp.ord_less_nat I2) (@ (@ tptp.plus_plus_nat J) M)))))
% 13.98/14.26 (assume a690 (forall ((I2 tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (@ (@ tptp.ord_less_nat I2) (@ (@ tptp.plus_plus_nat M) J)))))
% 13.98/14.26 (assume a691 (forall ((K tptp.nat) (L2 tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K) L2) (=> (= (@ (@ tptp.plus_plus_nat M) L2) (@ (@ tptp.plus_plus_nat K) N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.26 (assume a692 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat M) K)) N2) (not (=> (@ (@ tptp.ord_less_eq_nat M) N2) (not (@ (@ tptp.ord_less_eq_nat K) N2)))))))
% 13.98/14.26 (assume a693 (forall ((N2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_eq_nat N2) (@ (@ tptp.plus_plus_nat N2) M))))
% 13.98/14.26 (assume a694 (forall ((N2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_eq_nat N2) (@ (@ tptp.plus_plus_nat M) N2))))
% 13.98/14.26 (assume a695 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat M) K)) N2) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a696 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat M) K)) N2) (@ (@ tptp.ord_less_eq_nat K) N2))))
% 13.98/14.26 (assume a697 (forall ((K tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) L2) (exists ((N4 tptp.nat)) (= L2 (@ (@ tptp.plus_plus_nat K) N4))))))
% 13.98/14.26 (assume a698 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (=> (@ (@ tptp.ord_less_eq_nat K) L2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2))))))
% 13.98/14.26 (assume a699 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) K)))))
% 13.98/14.26 (assume a700 (forall ((I2 tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat I2) (@ (@ tptp.plus_plus_nat J) M)))))
% 13.98/14.26 (assume a701 (forall ((I2 tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat I2) (@ (@ tptp.plus_plus_nat M) J)))))
% 13.98/14.26 (assume a702 (= tptp.ord_less_eq_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (exists ((K3 tptp.nat)) (= N (@ (@ tptp.plus_plus_nat M6) K3))))))
% 13.98/14.26 (assume a703 (forall ((M tptp.nat)) (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.times_times_nat M) (@ (@ tptp.times_times_nat M) M)))))
% 13.98/14.26 (assume a704 (forall ((M tptp.nat)) (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.times_times_nat M) M))))
% 13.98/14.26 (assume a705 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (=> (@ (@ tptp.ord_less_eq_nat K) L2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat I2) K)) (@ (@ tptp.times_times_nat J) L2))))))
% 13.98/14.26 (assume a706 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat I2) K)) (@ (@ tptp.times_times_nat J) K)))))
% 13.98/14.26 (assume a707 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat K) I2)) (@ (@ tptp.times_times_nat K) J)))))
% 13.98/14.26 (assume a708 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat M) N2)) K) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat M) K)) (@ (@ tptp.times_times_nat N2) K)))))
% 13.98/14.26 (assume a709 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat K) (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)))))
% 13.98/14.26 (assume a710 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_nat tptp.one_one_nat) N2) N2)))
% 13.98/14.26 (assume a711 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_nat N2) tptp.one_one_nat) N2)))
% 13.98/14.26 (assume a712 (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (@ (@ tptp.vEBT_invar_vebt X5) N2))) (=> (@ (@ tptp.vEBT_invar_vebt Summary) M) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (=> (= M N2) (=> (= Deg (@ (@ tptp.plus_plus_nat N2) M)) (=> (not (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) X_1))) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X5) X_1))))) (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg) TreeList2) Summary)) Deg))))))))))
% 13.98/14.26 (assume a713 (forall ((F (-> tptp.nat tptp.nat)) (M tptp.nat) (K tptp.nat)) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M5) N4) (@ (@ tptp.ord_less_nat (@ F M5)) (@ F N4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ F M)) K)) (@ F (@ (@ tptp.plus_plus_nat M) K))))))
% 13.98/14.26 (assume a714 (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (@ (@ tptp.vEBT_invar_vebt X5) N2))) (=> (@ (@ tptp.vEBT_invar_vebt Summary) M) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (=> (= M (@ tptp.suc N2)) (=> (= Deg (@ (@ tptp.plus_plus_nat N2) M)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I4)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) I4)))) (=> (=> (= Mi Ma) (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X_1 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X5) X_1)))))) (=> (@ (@ tptp.ord_less_eq_nat Mi) Ma) (=> (@ (@ tptp.ord_less_nat Ma) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg)) (=> (=> (not (= Mi Ma)) (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high Ma) N2) I4) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I4)) (@ (@ tptp.vEBT_VEBT_low Ma) N2))) (forall ((X5 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high X5) N2) I4) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I4)) (@ (@ tptp.vEBT_VEBT_low X5) N2))) (and (@ (@ tptp.ord_less_nat Mi) X5) (@ (@ tptp.ord_less_eq_nat X5) Ma)))))))) (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) Deg)))))))))))))
% 13.98/14.26 (assume a715 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_maxt T) (@ tptp.some_nat X)) (@ (@ tptp.vEBT_VEBT_max_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X)))))
% 13.98/14.26 (assume a716 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (@ (@ tptp.vEBT_VEBT_max_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X) (= (@ tptp.vEBT_vebt_maxt T) (@ tptp.some_nat X))))))
% 13.98/14.26 (assume a717 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (@ (@ tptp.vEBT_VEBT_min_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X) (= (@ tptp.vEBT_vebt_mint T) (@ tptp.some_nat X))))))
% 13.98/14.26 (assume a718 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_mint T) (@ tptp.some_nat X)) (@ (@ tptp.vEBT_VEBT_min_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X)))))
% 13.98/14.26 (assume a719 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (@ tptp.vEBT_set_vebt T) (@ tptp.vEBT_VEBT_set_vebt T)))))
% 13.98/14.26 (assume a720 (forall ((Deg tptp.nat) (Ma tptp.nat) (X tptp.nat) (Mi tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_nat Ma) X) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ tptp.some_nat Ma))))))
% 13.98/14.26 (assume a721 (forall ((Deg tptp.nat) (X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_nat X) Mi) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ tptp.some_nat Mi))))))
% 13.98/14.26 (assume a722 (= tptp.ord_less_nat (lambda ((Y3 tptp.nat) (X2 tptp.nat)) (@ (@ tptp.vEBT_VEBT_greater (@ tptp.some_nat X2)) (@ tptp.some_nat Y3)))))
% 13.98/14.26 (assume a723 (= tptp.ord_less_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ tptp.vEBT_VEBT_less (@ tptp.some_nat X2)) (@ tptp.some_nat Y3)))))
% 13.98/14.26 (assume a724 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ (@ tptp.vEBT_vebt_succ T) X) (@ tptp.some_nat Y)) (@ (@ tptp.ord_less_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.26 (assume a725 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ (@ tptp.vEBT_vebt_pred T) X) (@ tptp.some_nat Y)) (@ (@ tptp.ord_less_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.26 (assume a726 (forall ((T tptp.vEBT_VEBT) (X tptp.nat) (Y tptp.nat)) (= (@ (@ (@ tptp.vEBT_is_succ_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X) Y) (and (@ (@ tptp.vEBT_vebt_member T) Y) (@ (@ tptp.ord_less_nat X) Y) (forall ((Z5 tptp.nat)) (=> (and (@ (@ tptp.vEBT_vebt_member T) Z5) (@ (@ tptp.ord_less_nat X) Z5)) (@ (@ tptp.ord_less_eq_nat Y) Z5)))))))
% 13.98/14.26 (assume a727 (forall ((T tptp.vEBT_VEBT) (X tptp.nat) (Y tptp.nat)) (= (@ (@ (@ tptp.vEBT_is_pred_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X) Y) (and (@ (@ tptp.vEBT_vebt_member T) Y) (@ (@ tptp.ord_less_nat Y) X) (forall ((Z5 tptp.nat)) (=> (and (@ (@ tptp.vEBT_vebt_member T) Z5) (@ (@ tptp.ord_less_nat Z5) X)) (@ (@ tptp.ord_less_eq_nat Z5) Y)))))))
% 13.98/14.26 (assume a728 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Px tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (= (@ (@ tptp.vEBT_vebt_pred T) X) (@ tptp.some_nat Px)) (@ (@ (@ tptp.vEBT_is_pred_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X) Px)))))
% 13.98/14.26 (assume a729 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Sx tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (= (@ (@ tptp.vEBT_vebt_succ T) X) (@ tptp.some_nat Sx)) (@ (@ (@ tptp.vEBT_is_succ_in_set (@ tptp.vEBT_VEBT_set_vebt T)) X) Sx)))))
% 13.98/14.26 (assume a730 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Sx tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (= (@ (@ tptp.vEBT_vebt_pred T) X) (@ tptp.some_nat Sx)) (@ (@ (@ tptp.vEBT_is_pred_in_set (@ tptp.vEBT_set_vebt T)) X) Sx)))))
% 13.98/14.26 (assume a731 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat) (Sx tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (= (@ (@ tptp.vEBT_vebt_succ T) X) (@ tptp.some_nat Sx)) (@ (@ (@ tptp.vEBT_is_succ_in_set (@ tptp.vEBT_set_vebt T)) X) Sx)))))
% 13.98/14.26 (assume a732 (= tptp.vEBT_VEBT_power (@ tptp.vEBT_V4262088993061758097ft_nat tptp.power_power_nat)))
% 13.98/14.26 (assume a733 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) N2) (=> (not (= Mi Ma)) (and (@ (@ tptp.ord_less_nat Mi) Ma) (exists ((M5 tptp.nat)) (and (= (@ tptp.some_nat M5) (@ tptp.vEBT_vebt_mint Summary)) (@ (@ tptp.ord_less_nat M5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))))
% 13.98/14.26 (assume a734 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_eq_nat Mi) X) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) tptp.none_nat))))))
% 13.98/14.26 (assume a735 (forall ((Deg tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Mi tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_eq_nat X) Ma) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) tptp.none_nat))))))
% 13.98/14.26 (assume a736 (forall ((Option tptp.option4927543243414619207at_nat)) (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (= (@ tptp.some_P7363390416028606310at_nat (@ tptp.the_Pr8591224930841456533at_nat Option)) Option))))
% 13.98/14.26 (assume a737 (forall ((Option tptp.option_nat)) (=> (not (= Option tptp.none_nat)) (= (@ tptp.some_nat (@ tptp.the_nat Option)) Option))))
% 13.98/14.26 (assume a738 (forall ((Option tptp.option_num)) (=> (not (= Option tptp.none_num)) (= (@ tptp.some_num (@ tptp.the_num Option)) Option))))
% 13.98/14.26 (assume a739 (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc V))) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat X) X))) (@ tptp.suc (@ tptp.suc V))) TreeList2) Summary))))
% 13.98/14.26 (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.product_Pair_nat_nat Mi) Ma))) Ux) Uy) Uz)) (@ tptp.some_nat Ma))))
% 13.98/14.26 (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.product_Pair_nat_nat Mi) Ma))) Ux) Uy) Uz)) (@ tptp.some_nat Mi))))
% 13.98/14.26 (assume a742 (forall ((X tptp.option4927543243414619207at_nat)) (= (not (= X tptp.none_P5556105721700978146at_nat)) (exists ((Y3 tptp.product_prod_nat_nat)) (= X (@ tptp.some_P7363390416028606310at_nat Y3))))))
% 13.98/14.26 (assume a743 (forall ((X tptp.option_nat)) (= (not (= X tptp.none_nat)) (exists ((Y3 tptp.nat)) (= X (@ tptp.some_nat Y3))))))
% 13.98/14.26 (assume a744 (forall ((X tptp.option_num)) (= (not (= X tptp.none_num)) (exists ((Y3 tptp.num)) (= X (@ tptp.some_num Y3))))))
% 13.98/14.26 (assume a745 (forall ((X tptp.option4927543243414619207at_nat)) (= (forall ((Y3 tptp.product_prod_nat_nat)) (not (= X (@ tptp.some_P7363390416028606310at_nat Y3)))) (= X tptp.none_P5556105721700978146at_nat))))
% 13.98/14.26 (assume a746 (forall ((X tptp.option_nat)) (= (forall ((Y3 tptp.nat)) (not (= X (@ tptp.some_nat Y3)))) (= X tptp.none_nat))))
% 13.98/14.26 (assume a747 (forall ((X tptp.option_num)) (= (forall ((Y3 tptp.num)) (not (= X (@ tptp.some_num Y3)))) (= X tptp.none_num))))
% 13.98/14.26 (assume a748 (forall ((X tptp.code_integer) (Y tptp.code_integer) (Z tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ (@ tptp.ord_max_Code_integer X) Y)) Z) (and (@ (@ tptp.ord_le6747313008572928689nteger X) Z) (@ (@ tptp.ord_le6747313008572928689nteger Y) Z)))))
% 13.98/14.26 (assume a749 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (= (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.ord_ma741700101516333627d_enat X) Y)) Z) (and (@ (@ tptp.ord_le72135733267957522d_enat X) Z) (@ (@ tptp.ord_le72135733267957522d_enat Y) Z)))))
% 13.98/14.26 (assume a750 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.ord_max_real X) Y)) Z) (and (@ (@ tptp.ord_less_real X) Z) (@ (@ tptp.ord_less_real Y) Z)))))
% 13.98/14.26 (assume a751 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (= (@ (@ tptp.ord_less_num (@ (@ tptp.ord_max_num X) Y)) Z) (and (@ (@ tptp.ord_less_num X) Z) (@ (@ tptp.ord_less_num Y) Z)))))
% 13.98/14.26 (assume a752 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.ord_max_nat X) Y)) Z) (and (@ (@ tptp.ord_less_nat X) Z) (@ (@ tptp.ord_less_nat Y) Z)))))
% 13.98/14.26 (assume a753 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.ord_max_int X) Y)) Z) (and (@ (@ tptp.ord_less_int X) Z) (@ (@ tptp.ord_less_int Y) Z)))))
% 13.98/14.26 (assume a754 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger A) B) (= (@ (@ tptp.ord_max_Code_integer A) B) B))))
% 13.98/14.26 (assume a755 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (= (@ (@ tptp.ord_ma741700101516333627d_enat A) B) B))))
% 13.98/14.26 (assume a756 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (= (@ (@ tptp.ord_max_real A) B) B))))
% 13.98/14.26 (assume a757 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (= (@ (@ tptp.ord_max_num A) B) B))))
% 13.98/14.26 (assume a758 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (= (@ (@ tptp.ord_max_nat A) B) B))))
% 13.98/14.26 (assume a759 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (= (@ (@ tptp.ord_max_int A) B) B))))
% 13.98/14.26 (assume a760 (forall ((T tptp.vEBT_VEBT)) (=> (= (@ tptp.vEBT_vebt_mint T) tptp.none_nat) (@ tptp.vEBT_VEBT_minNull T))))
% 13.98/14.26 (assume a761 (forall ((T tptp.vEBT_VEBT)) (=> (@ tptp.vEBT_VEBT_minNull T) (= (@ tptp.vEBT_vebt_mint T) tptp.none_nat))))
% 13.98/14.26 (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))))
% 13.98/14.26 (assume a763 (forall ((X22 tptp.nat) (Y22 tptp.nat)) (= (= (@ tptp.some_nat X22) (@ tptp.some_nat Y22)) (= X22 Y22))))
% 13.98/14.26 (assume a764 (forall ((X22 tptp.num) (Y22 tptp.num)) (= (= (@ tptp.some_num X22) (@ tptp.some_num Y22)) (= X22 Y22))))
% 13.98/14.26 (assume a765 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_max_nat (@ (@ tptp.ord_max_nat A) B)) B) (@ (@ tptp.ord_max_nat A) B))))
% 13.98/14.26 (assume a766 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat (@ (@ tptp.ord_ma741700101516333627d_enat A) B)) B) (@ (@ tptp.ord_ma741700101516333627d_enat A) B))))
% 13.98/14.26 (assume a767 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_max_int (@ (@ tptp.ord_max_int A) B)) B) (@ (@ tptp.ord_max_int A) B))))
% 13.98/14.26 (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))))
% 13.98/14.26 (assume a769 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_max_nat A) (@ (@ tptp.ord_max_nat A) B)) (@ (@ tptp.ord_max_nat A) B))))
% 13.98/14.26 (assume a770 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat A) (@ (@ tptp.ord_ma741700101516333627d_enat A) B)) (@ (@ tptp.ord_ma741700101516333627d_enat A) B))))
% 13.98/14.26 (assume a771 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_max_int A) (@ (@ tptp.ord_max_int A) B)) (@ (@ tptp.ord_max_int A) B))))
% 13.98/14.26 (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))))
% 13.98/14.26 (assume a773 (forall ((A tptp.nat)) (= (@ (@ tptp.ord_max_nat A) A) A)))
% 13.98/14.26 (assume a774 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat A) A) A)))
% 13.98/14.26 (assume a775 (forall ((A tptp.int)) (= (@ (@ tptp.ord_max_int A) A) A)))
% 13.98/14.26 (assume a776 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_max_Code_integer A) A) A)))
% 13.98/14.26 (assume a777 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat A) B)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))))))
% 13.98/14.26 (assume a778 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) N2) (=> (@ (@ tptp.ord_less_eq_nat Ma) X) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) tptp.none_nat)))))
% 13.98/14.26 (assume a779 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat (@ tptp.suc M)) N2)) (@ tptp.suc K)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat M) N2)) K))))
% 13.98/14.26 (assume a780 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ tptp.suc M)) (@ tptp.suc N2)) (@ (@ tptp.minus_minus_nat M) N2))))
% 13.98/14.26 (assume a781 (forall ((B tptp.extended_enat) (C tptp.extended_enat) (A tptp.extended_enat)) (= (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.ord_ma741700101516333627d_enat B) C)) A) (and (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (@ (@ tptp.ord_le2932123472753598470d_enat C) A)))))
% 13.98/14.26 (assume a782 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.ord_max_Code_integer B) C)) A) (and (@ (@ tptp.ord_le3102999989581377725nteger B) A) (@ (@ tptp.ord_le3102999989581377725nteger C) A)))))
% 13.98/14.26 (assume a783 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (= (@ (@ tptp.ord_less_eq_num (@ (@ tptp.ord_max_num B) C)) A) (and (@ (@ tptp.ord_less_eq_num B) A) (@ (@ tptp.ord_less_eq_num C) A)))))
% 13.98/14.26 (assume a784 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.ord_max_nat B) C)) A) (and (@ (@ tptp.ord_less_eq_nat B) A) (@ (@ tptp.ord_less_eq_nat C) A)))))
% 13.98/14.26 (assume a785 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.ord_max_int B) C)) A) (and (@ (@ tptp.ord_less_eq_int B) A) (@ (@ tptp.ord_less_eq_int C) A)))))
% 13.98/14.26 (assume a786 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (= (@ (@ tptp.ord_ma741700101516333627d_enat A) B) B))))
% 13.98/14.26 (assume a787 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger A) B) (= (@ (@ tptp.ord_max_Code_integer A) B) B))))
% 13.98/14.26 (assume a788 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (= (@ (@ tptp.ord_max_num A) B) B))))
% 13.98/14.26 (assume a789 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.ord_max_nat A) B) B))))
% 13.98/14.26 (assume a790 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (= (@ (@ tptp.ord_max_int A) B) B))))
% 13.98/14.26 (assume a791 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (= (@ (@ tptp.ord_ma741700101516333627d_enat A) B) A))))
% 13.98/14.26 (assume a792 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger B) A) (= (@ (@ tptp.ord_max_Code_integer A) B) A))))
% 13.98/14.26 (assume a793 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_eq_num B) A) (= (@ (@ tptp.ord_max_num A) B) A))))
% 13.98/14.26 (assume a794 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (= (@ (@ tptp.ord_max_nat A) B) A))))
% 13.98/14.26 (assume a795 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (= (@ (@ tptp.ord_max_int A) B) A))))
% 13.98/14.26 (assume a796 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger B) A) (= (@ (@ tptp.ord_max_Code_integer A) B) A))))
% 13.98/14.26 (assume a797 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (= (@ (@ tptp.ord_ma741700101516333627d_enat A) B) A))))
% 13.98/14.26 (assume a798 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (= (@ (@ tptp.ord_max_real A) B) A))))
% 13.98/14.26 (assume a799 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (= (@ (@ tptp.ord_max_num A) B) A))))
% 13.98/14.26 (assume a800 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (= (@ (@ tptp.ord_max_nat A) B) A))))
% 13.98/14.26 (assume a801 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (= (@ (@ tptp.ord_max_int A) B) A))))
% 13.98/14.26 (assume a802 (forall ((I2 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) N2) (= (@ (@ tptp.minus_minus_nat N2) (@ (@ tptp.minus_minus_nat N2) I2)) I2))))
% 13.98/14.26 (assume a803 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat I2) J)) K) (@ (@ tptp.minus_minus_nat I2) (@ (@ tptp.plus_plus_nat J) K)))))
% 13.98/14.26 (assume a804 (forall ((A tptp.complex) (B tptp.complex) (V tptp.num)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex A) B)) (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex A) (@ tptp.numera6690914467698888265omplex V))) (@ (@ tptp.times_times_complex B) (@ tptp.numera6690914467698888265omplex V))))))
% 13.98/14.26 (assume a805 (forall ((A tptp.real) (B tptp.real) (V tptp.num)) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A) B)) (@ tptp.numeral_numeral_real V)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_real B) (@ tptp.numeral_numeral_real V))))))
% 13.98/14.26 (assume a806 (forall ((A tptp.int) (B tptp.int) (V tptp.num)) (= (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int A) B)) (@ tptp.numeral_numeral_int V)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int A) (@ tptp.numeral_numeral_int V))) (@ (@ tptp.times_times_int B) (@ tptp.numeral_numeral_int V))))))
% 13.98/14.26 (assume a807 (forall ((V tptp.num) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.minus_minus_complex B) C)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) B)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) C)))))
% 13.98/14.26 (assume a808 (forall ((V tptp.num) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) (@ (@ tptp.minus_minus_real B) C)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) B)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) C)))))
% 13.98/14.26 (assume a809 (forall ((V tptp.num) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) (@ (@ tptp.minus_minus_int B) C)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) B)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) C)))))
% 13.98/14.26 (assume a810 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.plus_plus_nat I2) (@ (@ tptp.minus_minus_nat J) K)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat I2) J)) K)))))
% 13.98/14.26 (assume a811 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat J) K)) I2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat J) I2)) K)))))
% 13.98/14.26 (assume a812 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.minus_minus_nat I2) (@ (@ tptp.minus_minus_nat J) K)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat I2) K)) J)))))
% 13.98/14.26 (assume a813 (forall ((N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ tptp.suc N2)) tptp.one_one_nat) N2)))
% 13.98/14.26 (assume a814 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.minus_minus_nat (@ tptp.suc (@ (@ tptp.minus_minus_nat J) K))) I2) (@ (@ tptp.minus_minus_nat (@ tptp.suc J)) (@ (@ tptp.plus_plus_nat K) I2))))))
% 13.98/14.26 (assume a815 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.minus_minus_nat I2) (@ tptp.suc (@ (@ tptp.minus_minus_nat J) K))) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ tptp.suc J))))))
% 13.98/14.26 (assume a816 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat I2) J)) K) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat I2) K)) J))))
% 13.98/14.26 (assume a817 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex) (D tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) C)) (@ (@ tptp.plus_plus_complex B) D)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex A) B)) (@ (@ tptp.minus_minus_complex C) D)))))
% 13.98/14.26 (assume a818 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) D)) (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real A) B)) (@ (@ tptp.minus_minus_real C) D)))))
% 13.98/14.26 (assume a819 (forall ((A tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) D)) (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int A) B)) (@ (@ tptp.minus_minus_int C) D)))))
% 13.98/14.26 (assume a820 (forall ((P (-> tptp.nat Bool)) (K tptp.nat) (I2 tptp.nat)) (=> (@ P K) (=> (forall ((N4 tptp.nat)) (=> (@ P (@ tptp.suc N4)) (@ P N4))) (@ P (@ (@ tptp.minus_minus_nat K) I2))))))
% 13.98/14.26 (assume a821 (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_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 (@ (@ F A) B)))))
% 13.98/14.26 (assume a822 (forall ((F (-> tptp.num tptp.num tptp.num)) (A tptp.num) (B tptp.num)) (= (@ (@ (@ tptp.vEBT_V819420779217536731ft_num F) (@ tptp.some_num A)) (@ tptp.some_num B)) (@ tptp.some_num (@ (@ F A) B)))))
% 13.98/14.26 (assume a823 (forall ((F (-> tptp.nat tptp.nat tptp.nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.vEBT_V4262088993061758097ft_nat F) (@ tptp.some_nat A)) (@ tptp.some_nat B)) (@ tptp.some_nat (@ (@ F A) B)))))
% 13.98/14.26 (assume a824 (forall ((M tptp.nat) (N2 tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (=> (@ (@ tptp.ord_less_nat M) L2) (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat L2) N2)) (@ (@ tptp.minus_minus_nat L2) M))))))
% 13.98/14.26 (assume a825 (forall ((J tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat J) K) (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat J) N2)) K))))
% 13.98/14.26 (assume a826 (forall ((M tptp.nat) (N2 tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat L2) N2)) (@ (@ tptp.minus_minus_nat L2) M)))))
% 13.98/14.26 (assume a827 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) C) (=> (@ (@ tptp.ord_less_eq_nat B) C) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat C) A)) (@ (@ tptp.minus_minus_nat C) B)) (@ (@ tptp.ord_less_eq_nat B) A))))))
% 13.98/14.26 (assume a828 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat M) N2)) M)))
% 13.98/14.26 (assume a829 (forall ((M tptp.nat) (N2 tptp.nat) (L2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat M) L2)) (@ (@ tptp.minus_minus_nat N2) L2)))))
% 13.98/14.26 (assume a830 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat M) K)) (@ (@ tptp.minus_minus_nat N2) K)) (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.26 (assume a831 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat M) K)) (@ (@ tptp.minus_minus_nat N2) K)) (@ (@ tptp.ord_less_eq_nat M) N2))))))
% 13.98/14.26 (assume a832 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (= (@ (@ tptp.minus_minus_nat M) K) (@ (@ tptp.minus_minus_nat N2) K)) (= M N2))))))
% 13.98/14.26 (assume a833 (forall ((Uu (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Uv tptp.option4927543243414619207at_nat)) (= (@ (@ (@ tptp.vEBT_V1502963449132264192at_nat Uu) tptp.none_P5556105721700978146at_nat) Uv) tptp.none_P5556105721700978146at_nat)))
% 13.98/14.26 (assume a834 (forall ((Uu (-> tptp.num tptp.num tptp.num)) (Uv tptp.option_num)) (= (@ (@ (@ tptp.vEBT_V819420779217536731ft_num Uu) tptp.none_num) Uv) tptp.none_num)))
% 13.98/14.26 (assume a835 (forall ((Uu (-> tptp.nat tptp.nat tptp.nat)) (Uv tptp.option_nat)) (= (@ (@ (@ tptp.vEBT_V4262088993061758097ft_nat Uu) tptp.none_nat) Uv) tptp.none_nat)))
% 13.98/14.26 (assume a836 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat K) M)) (@ (@ tptp.plus_plus_nat K) N2)) (@ (@ tptp.minus_minus_nat M) N2))))
% 13.98/14.26 (assume a837 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat M) K)) (@ (@ tptp.plus_plus_nat N2) K)) (@ (@ tptp.minus_minus_nat M) N2))))
% 13.98/14.26 (assume a838 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat N2) M)) N2) M)))
% 13.98/14.26 (assume a839 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat M) N2)) N2) M)))
% 13.98/14.26 (assume a840 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat M) N2)) K) (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat M) K)) (@ (@ tptp.times_times_nat N2) K)))))
% 13.98/14.26 (assume a841 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat K) (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)))))
% 13.98/14.26 (assume a842 (forall ((X tptp.complex) (Y tptp.complex) (A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex X) Y)) (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex X) (@ (@ tptp.minus_minus_complex Y) B))) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex X) A)) B)))))
% 13.98/14.26 (assume a843 (forall ((X tptp.real) (Y tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) (@ (@ tptp.minus_minus_real Y) B))) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real X) A)) B)))))
% 13.98/14.26 (assume a844 (forall ((X tptp.int) (Y tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int X) Y)) (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int X) (@ (@ tptp.minus_minus_int Y) B))) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int X) A)) B)))))
% 13.98/14.26 (assume a845 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat M) N2)) (@ tptp.suc M))))
% 13.98/14.26 (assume a846 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) M) (= (@ tptp.suc (@ (@ tptp.minus_minus_nat M) (@ tptp.suc N2))) (@ (@ tptp.minus_minus_nat M) N2)))))
% 13.98/14.26 (assume a847 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.minus_minus_nat (@ tptp.suc M)) N2) (@ tptp.suc (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.26 (assume a848 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat M) K)) (@ (@ tptp.minus_minus_nat N2) K)) (@ (@ tptp.ord_less_nat M) N2))))))
% 13.98/14.26 (assume a849 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat C) A) (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat A) C)) (@ (@ tptp.minus_minus_nat B) C))))))
% 13.98/14.26 (assume a850 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (= (@ (@ tptp.ord_less_nat I2) (@ (@ tptp.minus_minus_nat J) K)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) J))))
% 13.98/14.26 (assume a851 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat M) N2)) (= (@ (@ tptp.plus_plus_nat N2) (@ (@ tptp.minus_minus_nat M) N2)) M))))
% 13.98/14.26 (assume a852 (forall ((J tptp.nat) (K tptp.nat) (I2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat J) K)) I2) (@ (@ tptp.ord_less_eq_nat J) (@ (@ tptp.plus_plus_nat I2) K)))))
% 13.98/14.26 (assume a853 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.ord_less_eq_nat I2) (@ (@ tptp.minus_minus_nat J) K)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) J)))))
% 13.98/14.26 (assume a854 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat I2) J)) K) (@ (@ tptp.plus_plus_nat I2) (@ (@ tptp.minus_minus_nat J) K))))))
% 13.98/14.26 (assume a855 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat J) I2)) K) (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat J) K)) I2)))))
% 13.98/14.26 (assume a856 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (= (@ (@ tptp.minus_minus_nat J) I2) K) (= J (@ (@ tptp.plus_plus_nat K) I2))))))
% 13.98/14.26 (assume a857 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat M) (@ tptp.suc N2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat M) tptp.one_one_nat)) N2))))
% 13.98/14.26 (assume a858 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat N2) M)) M) (@ (@ tptp.ord_max_nat N2) M))))
% 13.98/14.26 (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)))
% 13.98/14.26 (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)))
% 13.98/14.26 (assume a861 (forall ((Uw (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_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)))
% 13.98/14.26 (assume a862 (forall ((Uw (-> tptp.num tptp.num tptp.num)) (V tptp.num)) (= (@ (@ (@ tptp.vEBT_V819420779217536731ft_num Uw) (@ tptp.some_num V)) tptp.none_num) tptp.none_num)))
% 13.98/14.26 (assume a863 (forall ((Uw (-> tptp.nat tptp.nat tptp.nat)) (V tptp.nat)) (= (@ (@ (@ tptp.vEBT_V4262088993061758097ft_nat Uw) (@ tptp.some_nat V)) tptp.none_nat) tptp.none_nat)))
% 13.98/14.26 (assume a864 (forall ((X (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_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 (@ (@ X A3) B3))))))))))))))
% 13.98/14.26 (assume a865 (forall ((X (-> tptp.num tptp.num tptp.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 (@ (@ X A3) B3))))))))))))))
% 13.98/14.26 (assume a866 (forall ((X (-> tptp.nat tptp.nat tptp.nat)) (Xa2 tptp.option_nat) (Xb tptp.option_nat) (Y tptp.option_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 (@ (@ X A3) B3))))))))))))))
% 13.98/14.26 (assume a867 (forall ((K tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) J) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat J) K)) I2) (@ (@ tptp.ord_less_nat J) (@ (@ tptp.plus_plus_nat I2) K))))))
% 13.98/14.26 (assume a868 (forall ((J tptp.nat) (I2 tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat J) I2) (= (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat I2) J)) U)) M) N2)))))
% 13.98/14.26 (assume a869 (forall ((I2 tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (= M (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat J) I2)) U)) N2))))))
% 13.98/14.26 (assume a870 (forall ((J tptp.nat) (I2 tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat J) I2) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat I2) J)) U)) M)) N2)))))
% 13.98/14.26 (assume a871 (forall ((I2 tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat J) I2)) U)) N2))))))
% 13.98/14.26 (assume a872 (forall ((J tptp.nat) (I2 tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat J) I2) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat I2) J)) U)) M)) N2)))))
% 13.98/14.26 (assume a873 (forall ((I2 tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (@ (@ tptp.minus_minus_nat M) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat J) I2)) U)) N2))))))
% 13.98/14.26 (assume a874 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (@ (@ tptp.ord_max_nat B) (@ (@ tptp.ord_max_nat A) C)) (@ (@ tptp.ord_max_nat A) (@ (@ tptp.ord_max_nat B) C)))))
% 13.98/14.26 (assume a875 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat B) (@ (@ tptp.ord_ma741700101516333627d_enat A) C)) (@ (@ tptp.ord_ma741700101516333627d_enat A) (@ (@ tptp.ord_ma741700101516333627d_enat B) C)))))
% 13.98/14.26 (assume a876 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (@ (@ tptp.ord_max_int B) (@ (@ tptp.ord_max_int A) C)) (@ (@ tptp.ord_max_int A) (@ (@ tptp.ord_max_int B) C)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a878 (= tptp.ord_max_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.ord_max_nat B4) A4))))
% 13.98/14.26 (assume a879 (= tptp.ord_ma741700101516333627d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (@ (@ tptp.ord_ma741700101516333627d_enat B4) A4))))
% 13.98/14.26 (assume a880 (= tptp.ord_max_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.ord_max_int B4) A4))))
% 13.98/14.26 (assume a881 (= tptp.ord_max_Code_integer (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (@ (@ tptp.ord_max_Code_integer B4) A4))))
% 13.98/14.26 (assume a882 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.ord_max_nat (@ (@ tptp.ord_max_nat A) B)) C) (@ (@ tptp.ord_max_nat A) (@ (@ tptp.ord_max_nat B) C)))))
% 13.98/14.26 (assume a883 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat (@ (@ tptp.ord_ma741700101516333627d_enat A) B)) C) (@ (@ tptp.ord_ma741700101516333627d_enat A) (@ (@ tptp.ord_ma741700101516333627d_enat B) C)))))
% 13.98/14.26 (assume a884 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.ord_max_int (@ (@ tptp.ord_max_int A) B)) C) (@ (@ tptp.ord_max_int A) (@ (@ tptp.ord_max_int B) C)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a886 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_complex (@ (@ tptp.minus_minus_complex Y) X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a887 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real Y) X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a888 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.power_power_int (@ (@ tptp.minus_minus_int X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int (@ (@ tptp.minus_minus_int Y) X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a889 (forall ((J tptp.nat) (I2 tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat J) I2) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat I2) J)) U)) M)) N2)))))
% 13.98/14.26 (assume a890 (forall ((I2 tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat I2) U)) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat J) U)) N2)) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat J) I2)) U)) N2))))))
% 13.98/14.26 (assume a891 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat K) M)) (@ (@ tptp.power_power_nat K) N2))))))
% 13.98/14.26 (assume a892 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.26 (assume a893 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.26 (assume a894 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.power_power_int (@ (@ tptp.minus_minus_int X) Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) X)) Y)))))
% 13.98/14.26 (assume a895 (forall ((C tptp.extended_enat) (B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) B) (@ (@ tptp.ord_le2932123472753598470d_enat C) (@ (@ tptp.ord_ma741700101516333627d_enat A) B)))))
% 13.98/14.26 (assume a896 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger C) B) (@ (@ tptp.ord_le3102999989581377725nteger C) (@ (@ tptp.ord_max_Code_integer A) B)))))
% 13.98/14.26 (assume a897 (forall ((C tptp.num) (B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_eq_num C) B) (@ (@ tptp.ord_less_eq_num C) (@ (@ tptp.ord_max_num A) B)))))
% 13.98/14.26 (assume a898 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat C) B) (@ (@ tptp.ord_less_eq_nat C) (@ (@ tptp.ord_max_nat A) B)))))
% 13.98/14.26 (assume a899 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int C) B) (@ (@ tptp.ord_less_eq_int C) (@ (@ tptp.ord_max_int A) B)))))
% 13.98/14.26 (assume a900 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) A) (@ (@ tptp.ord_le2932123472753598470d_enat C) (@ (@ tptp.ord_ma741700101516333627d_enat A) B)))))
% 13.98/14.26 (assume a901 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger C) A) (@ (@ tptp.ord_le3102999989581377725nteger C) (@ (@ tptp.ord_max_Code_integer A) B)))))
% 13.98/14.26 (assume a902 (forall ((C tptp.num) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_eq_num C) A) (@ (@ tptp.ord_less_eq_num C) (@ (@ tptp.ord_max_num A) B)))))
% 13.98/14.26 (assume a903 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat C) A) (@ (@ tptp.ord_less_eq_nat C) (@ (@ tptp.ord_max_nat A) B)))))
% 13.98/14.26 (assume a904 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int C) A) (@ (@ tptp.ord_less_eq_int C) (@ (@ tptp.ord_max_int A) B)))))
% 13.98/14.26 (assume a905 (= tptp.ord_le2932123472753598470d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat A4) B4) B4))))
% 13.98/14.26 (assume a906 (= tptp.ord_le3102999989581377725nteger (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (= (@ (@ tptp.ord_max_Code_integer A4) B4) B4))))
% 13.98/14.26 (assume a907 (= tptp.ord_less_eq_num (lambda ((A4 tptp.num) (B4 tptp.num)) (= (@ (@ tptp.ord_max_num A4) B4) B4))))
% 13.98/14.26 (assume a908 (= tptp.ord_less_eq_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (= (@ (@ tptp.ord_max_nat A4) B4) B4))))
% 13.98/14.26 (assume a909 (= tptp.ord_less_eq_int (lambda ((A4 tptp.int) (B4 tptp.int)) (= (@ (@ tptp.ord_max_int A4) B4) B4))))
% 13.98/14.26 (assume a910 (= tptp.ord_le2932123472753598470d_enat (lambda ((B4 tptp.extended_enat) (A4 tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat A4) B4) A4))))
% 13.98/14.26 (assume a911 (= tptp.ord_le3102999989581377725nteger (lambda ((B4 tptp.code_integer) (A4 tptp.code_integer)) (= (@ (@ tptp.ord_max_Code_integer A4) B4) A4))))
% 13.98/14.26 (assume a912 (= tptp.ord_less_eq_num (lambda ((B4 tptp.num) (A4 tptp.num)) (= (@ (@ tptp.ord_max_num A4) B4) A4))))
% 13.98/14.26 (assume a913 (= tptp.ord_less_eq_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (= (@ (@ tptp.ord_max_nat A4) B4) A4))))
% 13.98/14.26 (assume a914 (= tptp.ord_less_eq_int (lambda ((B4 tptp.int) (A4 tptp.int)) (= (@ (@ tptp.ord_max_int A4) B4) A4))))
% 13.98/14.26 (assume a915 (forall ((Z tptp.extended_enat) (X tptp.extended_enat) (Y tptp.extended_enat)) (= (@ (@ tptp.ord_le2932123472753598470d_enat Z) (@ (@ tptp.ord_ma741700101516333627d_enat X) Y)) (or (@ (@ tptp.ord_le2932123472753598470d_enat Z) X) (@ (@ tptp.ord_le2932123472753598470d_enat Z) Y)))))
% 13.98/14.26 (assume a916 (forall ((Z tptp.code_integer) (X tptp.code_integer) (Y tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger Z) (@ (@ tptp.ord_max_Code_integer X) Y)) (or (@ (@ tptp.ord_le3102999989581377725nteger Z) X) (@ (@ tptp.ord_le3102999989581377725nteger Z) Y)))))
% 13.98/14.26 (assume a917 (forall ((Z tptp.num) (X tptp.num) (Y tptp.num)) (= (@ (@ tptp.ord_less_eq_num Z) (@ (@ tptp.ord_max_num X) Y)) (or (@ (@ tptp.ord_less_eq_num Z) X) (@ (@ tptp.ord_less_eq_num Z) Y)))))
% 13.98/14.26 (assume a918 (forall ((Z tptp.nat) (X tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat Z) (@ (@ tptp.ord_max_nat X) Y)) (or (@ (@ tptp.ord_less_eq_nat Z) X) (@ (@ tptp.ord_less_eq_nat Z) Y)))))
% 13.98/14.26 (assume a919 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_eq_int Z) (@ (@ tptp.ord_max_int X) Y)) (or (@ (@ tptp.ord_less_eq_int Z) X) (@ (@ tptp.ord_less_eq_int Z) Y)))))
% 13.98/14.26 (assume a920 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (@ (@ tptp.ord_le2932123472753598470d_enat B) (@ (@ tptp.ord_ma741700101516333627d_enat A) B))))
% 13.98/14.26 (assume a921 (forall ((B tptp.code_integer) (A tptp.code_integer)) (@ (@ tptp.ord_le3102999989581377725nteger B) (@ (@ tptp.ord_max_Code_integer A) B))))
% 13.98/14.26 (assume a922 (forall ((B tptp.num) (A tptp.num)) (@ (@ tptp.ord_less_eq_num B) (@ (@ tptp.ord_max_num A) B))))
% 13.98/14.26 (assume a923 (forall ((B tptp.nat) (A tptp.nat)) (@ (@ tptp.ord_less_eq_nat B) (@ (@ tptp.ord_max_nat A) B))))
% 13.98/14.26 (assume a924 (forall ((B tptp.int) (A tptp.int)) (@ (@ tptp.ord_less_eq_int B) (@ (@ tptp.ord_max_int A) B))))
% 13.98/14.26 (assume a925 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (@ (@ tptp.ord_le2932123472753598470d_enat A) (@ (@ tptp.ord_ma741700101516333627d_enat A) B))))
% 13.98/14.26 (assume a926 (forall ((A tptp.code_integer) (B tptp.code_integer)) (@ (@ tptp.ord_le3102999989581377725nteger A) (@ (@ tptp.ord_max_Code_integer A) B))))
% 13.98/14.26 (assume a927 (forall ((A tptp.num) (B tptp.num)) (@ (@ tptp.ord_less_eq_num A) (@ (@ tptp.ord_max_num A) B))))
% 13.98/14.26 (assume a928 (forall ((A tptp.nat) (B tptp.nat)) (@ (@ tptp.ord_less_eq_nat A) (@ (@ tptp.ord_max_nat A) B))))
% 13.98/14.26 (assume a929 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.ord_max_int A) B))))
% 13.98/14.26 (assume a930 (= tptp.ord_le2932123472753598470d_enat (lambda ((B4 tptp.extended_enat) (A4 tptp.extended_enat)) (= A4 (@ (@ tptp.ord_ma741700101516333627d_enat A4) B4)))))
% 13.98/14.26 (assume a931 (= tptp.ord_le3102999989581377725nteger (lambda ((B4 tptp.code_integer) (A4 tptp.code_integer)) (= A4 (@ (@ tptp.ord_max_Code_integer A4) B4)))))
% 13.98/14.26 (assume a932 (= tptp.ord_less_eq_num (lambda ((B4 tptp.num) (A4 tptp.num)) (= A4 (@ (@ tptp.ord_max_num A4) B4)))))
% 13.98/14.26 (assume a933 (= tptp.ord_less_eq_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (= A4 (@ (@ tptp.ord_max_nat A4) B4)))))
% 13.98/14.26 (assume a934 (= tptp.ord_less_eq_int (lambda ((B4 tptp.int) (A4 tptp.int)) (= A4 (@ (@ tptp.ord_max_int A4) B4)))))
% 13.98/14.26 (assume a935 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) A) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.ord_ma741700101516333627d_enat B) C)) A)))))
% 13.98/14.26 (assume a936 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger B) A) (=> (@ (@ tptp.ord_le3102999989581377725nteger C) A) (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.ord_max_Code_integer B) C)) A)))))
% 13.98/14.26 (assume a937 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num B) A) (=> (@ (@ tptp.ord_less_eq_num C) A) (@ (@ tptp.ord_less_eq_num (@ (@ tptp.ord_max_num B) C)) A)))))
% 13.98/14.26 (assume a938 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (=> (@ (@ tptp.ord_less_eq_nat C) A) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.ord_max_nat B) C)) A)))))
% 13.98/14.26 (assume a939 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (=> (@ (@ tptp.ord_less_eq_int C) A) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.ord_max_int B) C)) A)))))
% 13.98/14.26 (assume a940 (forall ((B tptp.extended_enat) (C tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.ord_ma741700101516333627d_enat B) C)) A) (not (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (not (@ (@ tptp.ord_le2932123472753598470d_enat C) A)))))))
% 13.98/14.26 (assume a941 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.ord_max_Code_integer B) C)) A) (not (=> (@ (@ tptp.ord_le3102999989581377725nteger B) A) (not (@ (@ tptp.ord_le3102999989581377725nteger C) A)))))))
% 13.98/14.26 (assume a942 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_eq_num (@ (@ tptp.ord_max_num B) C)) A) (not (=> (@ (@ tptp.ord_less_eq_num B) A) (not (@ (@ tptp.ord_less_eq_num C) A)))))))
% 13.98/14.26 (assume a943 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.ord_max_nat B) C)) A) (not (=> (@ (@ tptp.ord_less_eq_nat B) A) (not (@ (@ tptp.ord_less_eq_nat C) A)))))))
% 13.98/14.26 (assume a944 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.ord_max_int B) C)) A) (not (=> (@ (@ tptp.ord_less_eq_int B) A) (not (@ (@ tptp.ord_less_eq_int C) A)))))))
% 13.98/14.26 (assume a945 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (= A (@ (@ tptp.ord_ma741700101516333627d_enat A) B)) (@ (@ tptp.ord_le2932123472753598470d_enat B) A))))
% 13.98/14.26 (assume a946 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= A (@ (@ tptp.ord_max_Code_integer A) B)) (@ (@ tptp.ord_le3102999989581377725nteger B) A))))
% 13.98/14.26 (assume a947 (forall ((A tptp.num) (B tptp.num)) (=> (= A (@ (@ tptp.ord_max_num A) B)) (@ (@ tptp.ord_less_eq_num B) A))))
% 13.98/14.26 (assume a948 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A (@ (@ tptp.ord_max_nat A) B)) (@ (@ tptp.ord_less_eq_nat B) A))))
% 13.98/14.26 (assume a949 (forall ((A tptp.int) (B tptp.int)) (=> (= A (@ (@ tptp.ord_max_int A) B)) (@ (@ tptp.ord_less_eq_int B) A))))
% 13.98/14.26 (assume a950 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (= A (@ (@ tptp.ord_ma741700101516333627d_enat A) B)))))
% 13.98/14.26 (assume a951 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger B) A) (= A (@ (@ tptp.ord_max_Code_integer A) B)))))
% 13.98/14.26 (assume a952 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_eq_num B) A) (= A (@ (@ tptp.ord_max_num A) B)))))
% 13.98/14.26 (assume a953 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (= A (@ (@ tptp.ord_max_nat A) B)))))
% 13.98/14.26 (assume a954 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (= A (@ (@ tptp.ord_max_int A) B)))))
% 13.98/14.26 (assume a955 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (D tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat D) B) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.ord_ma741700101516333627d_enat C) D)) (@ (@ tptp.ord_ma741700101516333627d_enat A) B))))))
% 13.98/14.26 (assume a956 (forall ((C tptp.code_integer) (A tptp.code_integer) (D tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger C) A) (=> (@ (@ tptp.ord_le3102999989581377725nteger D) B) (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.ord_max_Code_integer C) D)) (@ (@ tptp.ord_max_Code_integer A) B))))))
% 13.98/14.26 (assume a957 (forall ((C tptp.num) (A tptp.num) (D tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_eq_num C) A) (=> (@ (@ tptp.ord_less_eq_num D) B) (@ (@ tptp.ord_less_eq_num (@ (@ tptp.ord_max_num C) D)) (@ (@ tptp.ord_max_num A) B))))))
% 13.98/14.26 (assume a958 (forall ((C tptp.nat) (A tptp.nat) (D tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat C) A) (=> (@ (@ tptp.ord_less_eq_nat D) B) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.ord_max_nat C) D)) (@ (@ tptp.ord_max_nat A) B))))))
% 13.98/14.26 (assume a959 (forall ((C tptp.int) (A tptp.int) (D tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int C) A) (=> (@ (@ tptp.ord_less_eq_int D) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.ord_max_int C) D)) (@ (@ tptp.ord_max_int A) B))))))
% 13.98/14.26 (assume a960 (forall ((Z tptp.code_integer) (X tptp.code_integer) (Y tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger Z) (@ (@ tptp.ord_max_Code_integer X) Y)) (or (@ (@ tptp.ord_le6747313008572928689nteger Z) X) (@ (@ tptp.ord_le6747313008572928689nteger Z) Y)))))
% 13.98/14.26 (assume a961 (forall ((Z tptp.extended_enat) (X tptp.extended_enat) (Y tptp.extended_enat)) (= (@ (@ tptp.ord_le72135733267957522d_enat Z) (@ (@ tptp.ord_ma741700101516333627d_enat X) Y)) (or (@ (@ tptp.ord_le72135733267957522d_enat Z) X) (@ (@ tptp.ord_le72135733267957522d_enat Z) Y)))))
% 13.98/14.26 (assume a962 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real Z) (@ (@ tptp.ord_max_real X) Y)) (or (@ (@ tptp.ord_less_real Z) X) (@ (@ tptp.ord_less_real Z) Y)))))
% 13.98/14.26 (assume a963 (forall ((Z tptp.num) (X tptp.num) (Y tptp.num)) (= (@ (@ tptp.ord_less_num Z) (@ (@ tptp.ord_max_num X) Y)) (or (@ (@ tptp.ord_less_num Z) X) (@ (@ tptp.ord_less_num Z) Y)))))
% 13.98/14.26 (assume a964 (forall ((Z tptp.nat) (X tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.ord_less_nat Z) (@ (@ tptp.ord_max_nat X) Y)) (or (@ (@ tptp.ord_less_nat Z) X) (@ (@ tptp.ord_less_nat Z) Y)))))
% 13.98/14.26 (assume a965 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_int Z) (@ (@ tptp.ord_max_int X) Y)) (or (@ (@ tptp.ord_less_int Z) X) (@ (@ tptp.ord_less_int Z) Y)))))
% 13.98/14.26 (assume a966 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger (@ (@ tptp.ord_max_Code_integer B) C)) A) (not (=> (@ (@ tptp.ord_le6747313008572928689nteger B) A) (not (@ (@ tptp.ord_le6747313008572928689nteger C) A)))))))
% 13.98/14.26 (assume a967 (forall ((B tptp.extended_enat) (C tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.ord_ma741700101516333627d_enat B) C)) A) (not (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (not (@ (@ tptp.ord_le72135733267957522d_enat C) A)))))))
% 13.98/14.26 (assume a968 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.ord_max_real B) C)) A) (not (=> (@ (@ tptp.ord_less_real B) A) (not (@ (@ tptp.ord_less_real C) A)))))))
% 13.98/14.26 (assume a969 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num (@ (@ tptp.ord_max_num B) C)) A) (not (=> (@ (@ tptp.ord_less_num B) A) (not (@ (@ tptp.ord_less_num C) A)))))))
% 13.98/14.26 (assume a970 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.ord_max_nat B) C)) A) (not (=> (@ (@ tptp.ord_less_nat B) A) (not (@ (@ tptp.ord_less_nat C) A)))))))
% 13.98/14.26 (assume a971 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.ord_max_int B) C)) A) (not (=> (@ (@ tptp.ord_less_int B) A) (not (@ (@ tptp.ord_less_int C) A)))))))
% 13.98/14.26 (assume a972 (= tptp.ord_le6747313008572928689nteger (lambda ((B4 tptp.code_integer) (A4 tptp.code_integer)) (and (= A4 (@ (@ tptp.ord_max_Code_integer A4) B4)) (not (= A4 B4))))))
% 13.98/14.26 (assume a973 (= tptp.ord_le72135733267957522d_enat (lambda ((B4 tptp.extended_enat) (A4 tptp.extended_enat)) (and (= A4 (@ (@ tptp.ord_ma741700101516333627d_enat A4) B4)) (not (= A4 B4))))))
% 13.98/14.26 (assume a974 (= tptp.ord_less_real (lambda ((B4 tptp.real) (A4 tptp.real)) (and (= A4 (@ (@ tptp.ord_max_real A4) B4)) (not (= A4 B4))))))
% 13.98/14.26 (assume a975 (= tptp.ord_less_num (lambda ((B4 tptp.num) (A4 tptp.num)) (and (= A4 (@ (@ tptp.ord_max_num A4) B4)) (not (= A4 B4))))))
% 13.98/14.26 (assume a976 (= tptp.ord_less_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (and (= A4 (@ (@ tptp.ord_max_nat A4) B4)) (not (= A4 B4))))))
% 13.98/14.26 (assume a977 (= tptp.ord_less_int (lambda ((B4 tptp.int) (A4 tptp.int)) (and (= A4 (@ (@ tptp.ord_max_int A4) B4)) (not (= A4 B4))))))
% 13.98/14.26 (assume a978 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger C) A) (@ (@ tptp.ord_le6747313008572928689nteger C) (@ (@ tptp.ord_max_Code_integer A) B)))))
% 13.98/14.26 (assume a979 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat C) A) (@ (@ tptp.ord_le72135733267957522d_enat C) (@ (@ tptp.ord_ma741700101516333627d_enat A) B)))))
% 13.98/14.26 (assume a980 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) A) (@ (@ tptp.ord_less_real C) (@ (@ tptp.ord_max_real A) B)))))
% 13.98/14.26 (assume a981 (forall ((C tptp.num) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_num C) A) (@ (@ tptp.ord_less_num C) (@ (@ tptp.ord_max_num A) B)))))
% 13.98/14.26 (assume a982 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat C) A) (@ (@ tptp.ord_less_nat C) (@ (@ tptp.ord_max_nat A) B)))))
% 13.98/14.26 (assume a983 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int C) A) (@ (@ tptp.ord_less_int C) (@ (@ tptp.ord_max_int A) B)))))
% 13.98/14.26 (assume a984 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger C) B) (@ (@ tptp.ord_le6747313008572928689nteger C) (@ (@ tptp.ord_max_Code_integer A) B)))))
% 13.98/14.26 (assume a985 (forall ((C tptp.extended_enat) (B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat C) B) (@ (@ tptp.ord_le72135733267957522d_enat C) (@ (@ tptp.ord_ma741700101516333627d_enat A) B)))))
% 13.98/14.26 (assume a986 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) B) (@ (@ tptp.ord_less_real C) (@ (@ tptp.ord_max_real A) B)))))
% 13.98/14.26 (assume a987 (forall ((C tptp.num) (B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num C) B) (@ (@ tptp.ord_less_num C) (@ (@ tptp.ord_max_num A) B)))))
% 13.98/14.26 (assume a988 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat C) B) (@ (@ tptp.ord_less_nat C) (@ (@ tptp.ord_max_nat A) B)))))
% 13.98/14.26 (assume a989 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int C) B) (@ (@ tptp.ord_less_int C) (@ (@ tptp.ord_max_int A) B)))))
% 13.98/14.26 (assume a990 (forall ((X tptp.option4927543243414619207at_nat) (P (-> tptp.option4927543243414619207at_nat tptp.option4927543243414619207at_nat Bool)) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X tptp.none_P5556105721700978146at_nat) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (@ (@ 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)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a991 (forall ((X tptp.option4927543243414619207at_nat) (P (-> tptp.option4927543243414619207at_nat tptp.option_nat Bool)) (Y tptp.option_nat)) (=> (=> (= X tptp.none_P5556105721700978146at_nat) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_nat) (@ (@ P X) Y)) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.nat)) (=> (= X (@ tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (@ tptp.some_nat B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a992 (forall ((X tptp.option4927543243414619207at_nat) (P (-> tptp.option4927543243414619207at_nat tptp.option_num Bool)) (Y tptp.option_num)) (=> (=> (= X tptp.none_P5556105721700978146at_nat) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_num) (@ (@ P X) Y)) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.num)) (=> (= X (@ tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (@ tptp.some_num B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a993 (forall ((X tptp.option_nat) (P (-> tptp.option_nat tptp.option4927543243414619207at_nat Bool)) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X tptp.none_nat) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (@ (@ P X) Y)) (=> (forall ((A3 tptp.nat) (B3 tptp.product_prod_nat_nat)) (=> (= X (@ tptp.some_nat A3)) (=> (= Y (@ tptp.some_P7363390416028606310at_nat B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a994 (forall ((X tptp.option_nat) (P (-> tptp.option_nat tptp.option_nat Bool)) (Y tptp.option_nat)) (=> (=> (= X tptp.none_nat) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_nat) (@ (@ P X) Y)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= X (@ tptp.some_nat A3)) (=> (= Y (@ tptp.some_nat B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a995 (forall ((X tptp.option_nat) (P (-> tptp.option_nat tptp.option_num Bool)) (Y tptp.option_num)) (=> (=> (= X tptp.none_nat) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_num) (@ (@ P X) Y)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= X (@ tptp.some_nat A3)) (=> (= Y (@ tptp.some_num B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a996 (forall ((X tptp.option_num) (P (-> tptp.option_num tptp.option4927543243414619207at_nat Bool)) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X tptp.none_num) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (@ (@ P X) Y)) (=> (forall ((A3 tptp.num) (B3 tptp.product_prod_nat_nat)) (=> (= X (@ tptp.some_num A3)) (=> (= Y (@ tptp.some_P7363390416028606310at_nat B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a997 (forall ((X tptp.option_num) (P (-> tptp.option_num tptp.option_nat Bool)) (Y tptp.option_nat)) (=> (=> (= X tptp.none_num) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_nat) (@ (@ P X) Y)) (=> (forall ((A3 tptp.num) (B3 tptp.nat)) (=> (= X (@ tptp.some_num A3)) (=> (= Y (@ tptp.some_nat B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a998 (forall ((X tptp.option_num) (P (-> tptp.option_num tptp.option_num Bool)) (Y tptp.option_num)) (=> (=> (= X tptp.none_num) (@ (@ P X) Y)) (=> (=> (= Y tptp.none_num) (@ (@ P X) Y)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= X (@ tptp.some_num A3)) (=> (= Y (@ tptp.some_num B3)) (@ (@ P X) Y)))) (@ (@ P X) Y))))))
% 13.98/14.26 (assume a999 (= (lambda ((P2 (-> tptp.option4927543243414619207at_nat Bool))) (forall ((X7 tptp.option4927543243414619207at_nat)) (@ P2 X7))) (lambda ((P3 (-> tptp.option4927543243414619207at_nat Bool))) (and (@ P3 tptp.none_P5556105721700978146at_nat) (forall ((X2 tptp.product_prod_nat_nat)) (@ P3 (@ tptp.some_P7363390416028606310at_nat X2)))))))
% 13.98/14.26 (assume a1000 (= (lambda ((P2 (-> tptp.option_nat Bool))) (forall ((X7 tptp.option_nat)) (@ P2 X7))) (lambda ((P3 (-> tptp.option_nat Bool))) (and (@ P3 tptp.none_nat) (forall ((X2 tptp.nat)) (@ P3 (@ tptp.some_nat X2)))))))
% 13.98/14.26 (assume a1001 (= (lambda ((P2 (-> tptp.option_num Bool))) (forall ((X7 tptp.option_num)) (@ P2 X7))) (lambda ((P3 (-> tptp.option_num Bool))) (and (@ P3 tptp.none_num) (forall ((X2 tptp.num)) (@ P3 (@ tptp.some_num X2)))))))
% 13.98/14.26 (assume a1002 (= (lambda ((P2 (-> tptp.option4927543243414619207at_nat Bool))) (exists ((X7 tptp.option4927543243414619207at_nat)) (@ P2 X7))) (lambda ((P3 (-> tptp.option4927543243414619207at_nat Bool))) (or (@ P3 tptp.none_P5556105721700978146at_nat) (exists ((X2 tptp.product_prod_nat_nat)) (@ P3 (@ tptp.some_P7363390416028606310at_nat X2)))))))
% 13.98/14.26 (assume a1003 (= (lambda ((P2 (-> tptp.option_nat Bool))) (exists ((X7 tptp.option_nat)) (@ P2 X7))) (lambda ((P3 (-> tptp.option_nat Bool))) (or (@ P3 tptp.none_nat) (exists ((X2 tptp.nat)) (@ P3 (@ tptp.some_nat X2)))))))
% 13.98/14.26 (assume a1004 (= (lambda ((P2 (-> tptp.option_num Bool))) (exists ((X7 tptp.option_num)) (@ P2 X7))) (lambda ((P3 (-> tptp.option_num Bool))) (or (@ P3 tptp.none_num) (exists ((X2 tptp.num)) (@ P3 (@ tptp.some_num X2)))))))
% 13.98/14.26 (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))))))))
% 13.98/14.26 (assume a1006 (forall ((Y tptp.option_nat)) (=> (not (= Y tptp.none_nat)) (not (forall ((X23 tptp.nat)) (not (= Y (@ tptp.some_nat X23))))))))
% 13.98/14.26 (assume a1007 (forall ((Y tptp.option_num)) (=> (not (= Y tptp.none_num)) (not (forall ((X23 tptp.num)) (not (= Y (@ tptp.some_num X23))))))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a1009 (forall ((Option tptp.option_nat) (X22 tptp.nat)) (=> (= Option (@ tptp.some_nat X22)) (not (= Option tptp.none_nat)))))
% 13.98/14.26 (assume a1010 (forall ((Option tptp.option_num) (X22 tptp.num)) (=> (= Option (@ tptp.some_num X22)) (not (= Option tptp.none_num)))))
% 13.98/14.26 (assume a1011 (forall ((X22 tptp.product_prod_nat_nat)) (not (= tptp.none_P5556105721700978146at_nat (@ tptp.some_P7363390416028606310at_nat X22)))))
% 13.98/14.26 (assume a1012 (forall ((X22 tptp.nat)) (not (= tptp.none_nat (@ tptp.some_nat X22)))))
% 13.98/14.26 (assume a1013 (forall ((X22 tptp.num)) (not (= tptp.none_num (@ tptp.some_num X22)))))
% 13.98/14.26 (assume a1014 (forall ((X22 tptp.product_prod_nat_nat)) (= (@ tptp.the_Pr8591224930841456533at_nat (@ tptp.some_P7363390416028606310at_nat X22)) X22)))
% 13.98/14.26 (assume a1015 (forall ((X22 tptp.nat)) (= (@ tptp.the_nat (@ tptp.some_nat X22)) X22)))
% 13.98/14.26 (assume a1016 (forall ((X22 tptp.num)) (= (@ tptp.the_num (@ tptp.some_num X22)) X22)))
% 13.98/14.26 (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)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a1020 (forall ((Option tptp.option4927543243414619207at_nat)) (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (= Option (@ tptp.some_P7363390416028606310at_nat (@ tptp.the_Pr8591224930841456533at_nat Option))))))
% 13.98/14.26 (assume a1021 (forall ((Option tptp.option_nat)) (=> (not (= Option tptp.none_nat)) (= Option (@ tptp.some_nat (@ tptp.the_nat Option))))))
% 13.98/14.26 (assume a1022 (forall ((Option tptp.option_num)) (=> (not (= Option tptp.none_num)) (= Option (@ tptp.some_num (@ tptp.the_num Option))))))
% 13.98/14.26 (assume a1023 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (= (@ (@ tptp.plus_plus_real B) (@ (@ tptp.minus_minus_real A) B)) A))))
% 13.98/14.26 (assume a1024 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (= (@ (@ tptp.plus_plus_nat B) (@ (@ tptp.minus_minus_nat A) B)) A))))
% 13.98/14.26 (assume a1025 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (= (@ (@ tptp.plus_plus_int B) (@ (@ tptp.minus_minus_int A) B)) A))))
% 13.98/14.26 (assume a1026 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real A) B)) B) A))))
% 13.98/14.26 (assume a1027 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat A) B)) B) A))))
% 13.98/14.26 (assume a1028 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int A) B)) B) A))))
% 13.98/14.26 (assume a1029 (= tptp.vEBT_VEBT_mul (@ tptp.vEBT_V4262088993061758097ft_nat tptp.times_times_nat)))
% 13.98/14.26 (assume a1030 (= tptp.vEBT_VEBT_add (@ tptp.vEBT_V4262088993061758097ft_nat tptp.plus_plus_nat)))
% 13.98/14.26 (assume a1031 (forall ((M tptp.nat) (N2 tptp.nat)) (not (= (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.26 (assume a1032 (forall ((M tptp.nat) (N2 tptp.nat)) (not (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.26 (assume a1033 (forall ((A tptp.nat)) (= (@ (@ tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 13.98/14.26 (assume a1034 (forall ((A tptp.real)) (= (@ (@ tptp.divide_divide_real A) tptp.one_one_real) A)))
% 13.98/14.26 (assume a1035 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int A) tptp.one_one_int) A)))
% 13.98/14.26 (assume a1036 (forall ((A tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) tptp.one_one_complex) A)))
% 13.98/14.26 (assume a1037 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger A) tptp.one_one_Code_integer) A)))
% 13.98/14.26 (assume a1038 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) B)) B) A)))
% 13.98/14.26 (assume a1039 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) B)) B) A)))
% 13.98/14.26 (assume a1040 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) B)) B) A)))
% 13.98/14.26 (assume a1041 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex A) B)) B) A)))
% 13.98/14.26 (assume a1042 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real A) B)) B) A)))
% 13.98/14.26 (assume a1043 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int A) B)) B) A)))
% 13.98/14.26 (assume a1044 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex C) A)) (@ (@ tptp.plus_plus_complex C) B)) (@ (@ tptp.minus_minus_complex A) B))))
% 13.98/14.26 (assume a1045 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)) (@ (@ tptp.minus_minus_real A) B))))
% 13.98/14.26 (assume a1046 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)) (@ (@ tptp.minus_minus_nat A) B))))
% 13.98/14.26 (assume a1047 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)) (@ (@ tptp.minus_minus_int A) B))))
% 13.98/14.26 (assume a1048 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) B)) A) B)))
% 13.98/14.26 (assume a1049 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) B)) A) B)))
% 13.98/14.26 (assume a1050 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat A) B)) A) B)))
% 13.98/14.26 (assume a1051 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) B)) A) B)))
% 13.98/14.26 (assume a1052 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat X) Y) Z) (= (@ (@ tptp.vEBT_VEBT_add (@ tptp.some_nat X)) (@ tptp.some_nat Y)) (@ tptp.some_nat Z)))))
% 13.98/14.26 (assume a1053 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (@ (@ tptp.times_times_nat X) Y) Z) (= (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat X)) (@ tptp.some_nat Y)) (@ tptp.some_nat Z)))))
% 13.98/14.26 (assume a1054 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex B) A) (@ (@ tptp.plus_plus_complex C) A)) (= B C))))
% 13.98/14.26 (assume a1055 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (= (@ (@ tptp.plus_plus_real B) A) (@ (@ tptp.plus_plus_real C) A)) (= B C))))
% 13.98/14.26 (assume a1056 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat B) A) (@ (@ tptp.plus_plus_nat C) A)) (= B C))))
% 13.98/14.26 (assume a1057 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (= (@ (@ tptp.plus_plus_int B) A) (@ (@ tptp.plus_plus_int C) A)) (= B C))))
% 13.98/14.26 (assume a1058 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex A) B) (@ (@ tptp.plus_plus_complex A) C)) (= B C))))
% 13.98/14.26 (assume a1059 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (@ (@ tptp.plus_plus_real A) B) (@ (@ tptp.plus_plus_real A) C)) (= B C))))
% 13.98/14.26 (assume a1060 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat A) B) (@ (@ tptp.plus_plus_nat A) C)) (= B C))))
% 13.98/14.26 (assume a1061 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (@ (@ tptp.plus_plus_int A) B) (@ (@ tptp.plus_plus_int A) C)) (= B C))))
% 13.98/14.26 (assume a1062 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.26 (assume a1063 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.ord_less_eq_nat A) B))))
% 13.98/14.26 (assume a1064 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.26 (assume a1065 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.26 (assume a1066 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)) (@ (@ tptp.ord_less_eq_nat A) B))))
% 13.98/14.26 (assume a1067 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.26 (assume a1068 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.ord_less_real A) B))))
% 13.98/14.26 (assume a1069 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.ord_less_nat A) B))))
% 13.98/14.26 (assume a1070 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.ord_less_int A) B))))
% 13.98/14.26 (assume a1071 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)) (@ (@ tptp.ord_less_real A) B))))
% 13.98/14.26 (assume a1072 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)) (@ (@ tptp.ord_less_nat A) B))))
% 13.98/14.26 (assume a1073 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)) (@ (@ tptp.ord_less_int A) B))))
% 13.98/14.26 (assume a1074 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat tptp.one_on7984719198319812577d_enat) A) A)))
% 13.98/14.26 (assume a1075 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex tptp.one_one_complex) A) A)))
% 13.98/14.26 (assume a1076 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real tptp.one_one_real) A) A)))
% 13.98/14.26 (assume a1077 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat tptp.one_one_nat) A) A)))
% 13.98/14.26 (assume a1078 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int tptp.one_one_int) A) A)))
% 13.98/14.26 (assume a1079 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat A) tptp.one_on7984719198319812577d_enat) A)))
% 13.98/14.26 (assume a1080 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex A) tptp.one_one_complex) A)))
% 13.98/14.26 (assume a1081 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real A) tptp.one_one_real) A)))
% 13.98/14.26 (assume a1082 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat A) tptp.one_one_nat) A)))
% 13.98/14.26 (assume a1083 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int A) tptp.one_one_int) A)))
% 13.98/14.26 (assume a1084 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) B)) B) A)))
% 13.98/14.26 (assume a1085 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) B)) B) A)))
% 13.98/14.26 (assume a1086 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat A) B)) B) A)))
% 13.98/14.26 (assume a1087 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) B)) B) A)))
% 13.98/14.26 (assume a1088 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) C)) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.minus_minus_complex A) B))))
% 13.98/14.26 (assume a1089 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.minus_minus_real A) B))))
% 13.98/14.26 (assume a1090 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.minus_minus_nat A) B))))
% 13.98/14.26 (assume a1091 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.minus_minus_int A) B))))
% 13.98/14.26 (assume a1092 (forall ((Z tptp.extended_enat) (Y tptp.extended_enat) (X tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat Z) Y) (= (@ (@ tptp.plus_p3455044024723400733d_enat X) (@ (@ tptp.minus_3235023915231533773d_enat Y) Z)) (@ (@ tptp.minus_3235023915231533773d_enat (@ (@ tptp.plus_p3455044024723400733d_enat X) Y)) Z)))))
% 13.98/14.26 (assume a1093 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_real X) Y)) (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a1094 (forall ((X tptp.int) (Y tptp.int)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_int X) Y)) (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a1095 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex B) (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex A) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1096 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real B) (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real A) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1097 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat B) (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat A) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.26 (assume a1098 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int B) (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int A) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1099 (= tptp.times_times_complex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.times_times_complex B4) A4))))
% 13.98/14.26 (assume a1100 (= tptp.times_times_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.times_times_real B4) A4))))
% 13.98/14.26 (assume a1101 (= tptp.times_times_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.times_times_nat B4) A4))))
% 13.98/14.26 (assume a1102 (= tptp.times_times_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.times_times_int B4) A4))))
% 13.98/14.26 (assume a1103 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex A) B)) C) (@ (@ tptp.times_times_complex A) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1104 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real A) B)) C) (@ (@ tptp.times_times_real A) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1105 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.times_times_nat A) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.26 (assume a1106 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.times_times_int A) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1107 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex A) B)) C) (@ (@ tptp.times_times_complex A) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1108 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real A) B)) C) (@ (@ tptp.times_times_real A) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1109 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.times_times_nat A) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.26 (assume a1110 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.times_times_int A) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1111 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (=> (= (@ (@ tptp.plus_plus_complex B) A) (@ (@ tptp.plus_plus_complex C) A)) (= B C))))
% 13.98/14.26 (assume a1112 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (= (@ (@ tptp.plus_plus_real B) A) (@ (@ tptp.plus_plus_real C) A)) (= B C))))
% 13.98/14.26 (assume a1113 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (= (@ (@ tptp.plus_plus_nat B) A) (@ (@ tptp.plus_plus_nat C) A)) (= B C))))
% 13.98/14.26 (assume a1114 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (= (@ (@ tptp.plus_plus_int B) A) (@ (@ tptp.plus_plus_int C) A)) (= B C))))
% 13.98/14.26 (assume a1115 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (= (@ (@ tptp.plus_plus_complex A) B) (@ (@ tptp.plus_plus_complex A) C)) (= B C))))
% 13.98/14.26 (assume a1116 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (= (@ (@ tptp.plus_plus_real A) B) (@ (@ tptp.plus_plus_real A) C)) (= B C))))
% 13.98/14.26 (assume a1117 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= (@ (@ tptp.plus_plus_nat A) B) (@ (@ tptp.plus_plus_nat A) C)) (= B C))))
% 13.98/14.26 (assume a1118 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= (@ (@ tptp.plus_plus_int A) B) (@ (@ tptp.plus_plus_int A) C)) (= B C))))
% 13.98/14.26 (assume a1119 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex B) (@ (@ tptp.plus_plus_complex A) C)) (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.plus_plus_complex B) C)))))
% 13.98/14.26 (assume a1120 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real B) (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real A) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.26 (assume a1121 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (@ (@ tptp.plus_plus_nat B) (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.plus_plus_nat B) C)))))
% 13.98/14.26 (assume a1122 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int B) (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int A) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.26 (assume a1123 (= tptp.plus_plus_complex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.plus_plus_complex B4) A4))))
% 13.98/14.26 (assume a1124 (= tptp.plus_plus_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.plus_plus_real B4) A4))))
% 13.98/14.26 (assume a1125 (= tptp.plus_plus_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.plus_plus_nat B4) A4))))
% 13.98/14.26 (assume a1126 (= tptp.plus_plus_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.plus_plus_int B4) A4))))
% 13.98/14.26 (assume a1127 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex B) A) (@ (@ tptp.plus_plus_complex C) A)) (= B C))))
% 13.98/14.26 (assume a1128 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (= (@ (@ tptp.plus_plus_real B) A) (@ (@ tptp.plus_plus_real C) A)) (= B C))))
% 13.98/14.26 (assume a1129 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (= (@ (@ tptp.plus_plus_int B) A) (@ (@ tptp.plus_plus_int C) A)) (= B C))))
% 13.98/14.26 (assume a1130 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex A) B) (@ (@ tptp.plus_plus_complex A) C)) (= B C))))
% 13.98/14.26 (assume a1131 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (@ (@ tptp.plus_plus_real A) B) (@ (@ tptp.plus_plus_real A) C)) (= B C))))
% 13.98/14.26 (assume a1132 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (@ (@ tptp.plus_plus_int A) B) (@ (@ tptp.plus_plus_int A) C)) (= B C))))
% 13.98/14.26 (assume a1133 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.plus_plus_complex B) C)))))
% 13.98/14.26 (assume a1134 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real A) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.26 (assume a1135 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.plus_plus_nat B) C)))))
% 13.98/14.26 (assume a1136 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int A) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.26 (assume a1137 (forall ((B2 tptp.complex) (K tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= B2 (@ (@ tptp.plus_plus_complex K) B)) (= (@ (@ tptp.plus_plus_complex A) B2) (@ (@ tptp.plus_plus_complex K) (@ (@ tptp.plus_plus_complex A) B))))))
% 13.98/14.26 (assume a1138 (forall ((B2 tptp.real) (K tptp.real) (B tptp.real) (A tptp.real)) (=> (= B2 (@ (@ tptp.plus_plus_real K) B)) (= (@ (@ tptp.plus_plus_real A) B2) (@ (@ tptp.plus_plus_real K) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.26 (assume a1139 (forall ((B2 tptp.nat) (K tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (= B2 (@ (@ tptp.plus_plus_nat K) B)) (= (@ (@ tptp.plus_plus_nat A) B2) (@ (@ tptp.plus_plus_nat K) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.26 (assume a1140 (forall ((B2 tptp.int) (K tptp.int) (B tptp.int) (A tptp.int)) (=> (= B2 (@ (@ tptp.plus_plus_int K) B)) (= (@ (@ tptp.plus_plus_int A) B2) (@ (@ tptp.plus_plus_int K) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.26 (assume a1141 (forall ((A2 tptp.complex) (K tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (= A2 (@ (@ tptp.plus_plus_complex K) A)) (= (@ (@ tptp.plus_plus_complex A2) B) (@ (@ tptp.plus_plus_complex K) (@ (@ tptp.plus_plus_complex A) B))))))
% 13.98/14.26 (assume a1142 (forall ((A2 tptp.real) (K tptp.real) (A tptp.real) (B tptp.real)) (=> (= A2 (@ (@ tptp.plus_plus_real K) A)) (= (@ (@ tptp.plus_plus_real A2) B) (@ (@ tptp.plus_plus_real K) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.26 (assume a1143 (forall ((A2 tptp.nat) (K tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (= A2 (@ (@ tptp.plus_plus_nat K) A)) (= (@ (@ tptp.plus_plus_nat A2) B) (@ (@ tptp.plus_plus_nat K) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.26 (assume a1144 (forall ((A2 tptp.int) (K tptp.int) (A tptp.int) (B tptp.int)) (=> (= A2 (@ (@ tptp.plus_plus_int K) A)) (= (@ (@ tptp.plus_plus_int A2) B) (@ (@ tptp.plus_plus_int K) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.26 (assume a1145 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (= I2 J) (= K L2)) (= (@ (@ tptp.plus_plus_real I2) K) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1146 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (= I2 J) (= K L2)) (= (@ (@ tptp.plus_plus_nat I2) K) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1147 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (= I2 J) (= K L2)) (= (@ (@ tptp.plus_plus_int I2) K) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1148 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.plus_plus_complex B) C)))))
% 13.98/14.26 (assume a1149 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real A) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.26 (assume a1150 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.plus_plus_nat B) C)))))
% 13.98/14.26 (assume a1151 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int A) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.26 (assume a1152 (forall ((X tptp.extended_enat)) (= (= tptp.one_on7984719198319812577d_enat X) (= X tptp.one_on7984719198319812577d_enat))))
% 13.98/14.26 (assume a1153 (forall ((X tptp.complex)) (= (= tptp.one_one_complex X) (= X tptp.one_one_complex))))
% 13.98/14.26 (assume a1154 (forall ((X tptp.real)) (= (= tptp.one_one_real X) (= X tptp.one_one_real))))
% 13.98/14.26 (assume a1155 (forall ((X tptp.nat)) (= (= tptp.one_one_nat X) (= X tptp.one_one_nat))))
% 13.98/14.26 (assume a1156 (forall ((X tptp.int)) (= (= tptp.one_one_int X) (= X tptp.one_one_int))))
% 13.98/14.26 (assume a1157 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.26 (assume a1158 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.ord_less_eq_nat A) B))))
% 13.98/14.26 (assume a1159 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.26 (assume a1160 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.26 (assume a1161 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)) (@ (@ tptp.ord_less_eq_nat A) B))))
% 13.98/14.26 (assume a1162 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.26 (assume a1163 (= tptp.ord_less_eq_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (exists ((C2 tptp.nat)) (= B4 (@ (@ tptp.plus_plus_nat A4) C2))))))
% 13.98/14.26 (assume a1164 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.26 (assume a1165 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)))))
% 13.98/14.26 (assume a1166 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.26 (assume a1167 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (not (forall ((C3 tptp.nat)) (not (= B (@ (@ tptp.plus_plus_nat A) C3))))))))
% 13.98/14.26 (assume a1168 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)))))
% 13.98/14.26 (assume a1169 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)))))
% 13.98/14.26 (assume a1170 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)))))
% 13.98/14.26 (assume a1171 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) D) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) D))))))
% 13.98/14.26 (assume a1172 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat C) D) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) D))))))
% 13.98/14.26 (assume a1173 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int C) D) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) D))))))
% 13.98/14.26 (assume a1174 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real I2) J) (@ (@ tptp.ord_less_eq_real K) L2)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1175 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat K) L2)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1176 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (@ (@ tptp.ord_less_eq_int I2) J) (@ (@ tptp.ord_less_eq_int K) L2)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1177 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (= I2 J) (@ (@ tptp.ord_less_eq_real K) L2)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1178 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (= I2 J) (@ (@ tptp.ord_less_eq_nat K) L2)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1179 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (= I2 J) (@ (@ tptp.ord_less_eq_int K) L2)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1180 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real I2) J) (= K L2)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1181 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (@ (@ tptp.ord_less_eq_nat I2) J) (= K L2)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1182 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (@ (@ tptp.ord_less_eq_int I2) J) (= K L2)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1183 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.ord_less_real A) B))))
% 13.98/14.26 (assume a1184 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.ord_less_nat A) B))))
% 13.98/14.26 (assume a1185 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.ord_less_int A) B))))
% 13.98/14.26 (assume a1186 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)) (@ (@ tptp.ord_less_real A) B))))
% 13.98/14.26 (assume a1187 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)) (@ (@ tptp.ord_less_nat A) B))))
% 13.98/14.26 (assume a1188 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)) (@ (@ tptp.ord_less_int A) B))))
% 13.98/14.26 (assume a1189 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.26 (assume a1190 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) C)))))
% 13.98/14.26 (assume a1191 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.26 (assume a1192 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real C) A)) (@ (@ tptp.plus_plus_real C) B)))))
% 13.98/14.26 (assume a1193 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat C) A)) (@ (@ tptp.plus_plus_nat C) B)))))
% 13.98/14.26 (assume a1194 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int C) A)) (@ (@ tptp.plus_plus_int C) B)))))
% 13.98/14.26 (assume a1195 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat C) D) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) C)) (@ (@ tptp.plus_p3455044024723400733d_enat B) D))))))
% 13.98/14.26 (assume a1196 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real C) D) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) D))))))
% 13.98/14.26 (assume a1197 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat C) D) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) D))))))
% 13.98/14.26 (assume a1198 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int C) D) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) D))))))
% 13.98/14.26 (assume a1199 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (@ (@ tptp.ord_less_real I2) J) (= K L2)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1200 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (@ (@ tptp.ord_less_nat I2) J) (= K L2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1201 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (@ (@ tptp.ord_less_int I2) J) (= K L2)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1202 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (= I2 J) (@ (@ tptp.ord_less_real K) L2)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1203 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (= I2 J) (@ (@ tptp.ord_less_nat K) L2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1204 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (= I2 J) (@ (@ tptp.ord_less_int K) L2)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1205 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (@ (@ tptp.ord_less_real I2) J) (@ (@ tptp.ord_less_real K) L2)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1206 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (@ (@ tptp.ord_less_nat I2) J) (@ (@ tptp.ord_less_nat K) L2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1207 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (@ (@ tptp.ord_less_int I2) J) (@ (@ tptp.ord_less_int K) L2)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1208 (forall ((A tptp.real) (B tptp.real) (D tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real D) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real A) C)) (@ (@ tptp.minus_minus_real B) D))))))
% 13.98/14.26 (assume a1209 (forall ((A tptp.int) (B tptp.int) (D tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int D) C) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int A) C)) (@ (@ tptp.minus_minus_int B) D))))))
% 13.98/14.26 (assume a1210 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real C) A)) (@ (@ tptp.minus_minus_real C) B)))))
% 13.98/14.26 (assume a1211 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int C) A)) (@ (@ tptp.minus_minus_int C) B)))))
% 13.98/14.26 (assume a1212 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real A) C)) (@ (@ tptp.minus_minus_real B) C)))))
% 13.98/14.26 (assume a1213 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int A) C)) (@ (@ tptp.minus_minus_int B) C)))))
% 13.98/14.26 (assume a1214 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (@ (@ tptp.minus_minus_real A) B) (@ (@ tptp.minus_minus_real C) D)) (= (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real C) D)))))
% 13.98/14.26 (assume a1215 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (@ (@ tptp.minus_minus_int A) B) (@ (@ tptp.minus_minus_int C) D)) (= (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int C) D)))))
% 13.98/14.26 (assume a1216 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real A) C)) (@ (@ tptp.minus_minus_real B) C)))))
% 13.98/14.26 (assume a1217 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int (@ (@ tptp.minus_minus_int A) C)) (@ (@ tptp.minus_minus_int B) C)))))
% 13.98/14.26 (assume a1218 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real C) A)) (@ (@ tptp.minus_minus_real C) B)))))
% 13.98/14.26 (assume a1219 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (@ (@ tptp.ord_less_int (@ (@ tptp.minus_minus_int C) A)) (@ (@ tptp.minus_minus_int C) B)))))
% 13.98/14.26 (assume a1220 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (@ (@ tptp.minus_minus_real A) B) (@ (@ tptp.minus_minus_real C) D)) (= (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real C) D)))))
% 13.98/14.26 (assume a1221 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (@ (@ tptp.minus_minus_int A) B) (@ (@ tptp.minus_minus_int C) D)) (= (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int C) D)))))
% 13.98/14.26 (assume a1222 (forall ((A tptp.real) (B tptp.real) (D tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real D) C) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real A) C)) (@ (@ tptp.minus_minus_real B) D))))))
% 13.98/14.26 (assume a1223 (forall ((A tptp.int) (B tptp.int) (D tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int D) C) (@ (@ tptp.ord_less_int (@ (@ tptp.minus_minus_int A) C)) (@ (@ tptp.minus_minus_int B) D))))))
% 13.98/14.26 (assume a1224 (forall ((A tptp.complex) (E tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) E)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex B) E)) C)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) B)) E)) C))))
% 13.98/14.26 (assume a1225 (forall ((A tptp.real) (E tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) B)) E)) C))))
% 13.98/14.26 (assume a1226 (forall ((A tptp.nat) (E tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) E)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) E)) C)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A) B)) E)) C))))
% 13.98/14.26 (assume a1227 (forall ((A tptp.int) (E tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int A) B)) E)) C))))
% 13.98/14.26 (assume a1228 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1229 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1230 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.26 (assume a1231 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1232 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex A) C)))))
% 13.98/14.26 (assume a1233 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real A) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real A) C)))))
% 13.98/14.26 (assume a1234 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat A) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) B)) (@ (@ tptp.times_times_nat A) C)))))
% 13.98/14.26 (assume a1235 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int A) C)))))
% 13.98/14.26 (assume a1236 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1237 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1238 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.26 (assume a1239 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1240 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex A) C)))))
% 13.98/14.26 (assume a1241 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real A) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real A) C)))))
% 13.98/14.26 (assume a1242 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int A) C)))))
% 13.98/14.26 (assume a1243 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1244 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1245 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1246 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat A) tptp.one_on7984719198319812577d_enat) A)))
% 13.98/14.26 (assume a1247 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex A) tptp.one_one_complex) A)))
% 13.98/14.26 (assume a1248 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real A) tptp.one_one_real) A)))
% 13.98/14.26 (assume a1249 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat A) tptp.one_one_nat) A)))
% 13.98/14.26 (assume a1250 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int A) tptp.one_one_int) A)))
% 13.98/14.26 (assume a1251 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat tptp.one_on7984719198319812577d_enat) A) A)))
% 13.98/14.26 (assume a1252 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex tptp.one_one_complex) A) A)))
% 13.98/14.26 (assume a1253 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real tptp.one_one_real) A) A)))
% 13.98/14.26 (assume a1254 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat tptp.one_one_nat) A) A)))
% 13.98/14.26 (assume a1255 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int tptp.one_one_int) A) A)))
% 13.98/14.26 (assume a1256 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ (@ tptp.minus_minus_complex B) C)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex A) C)))))
% 13.98/14.26 (assume a1257 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real A) (@ (@ tptp.minus_minus_real B) C)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real A) C)))))
% 13.98/14.26 (assume a1258 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.times_times_nat A) (@ (@ tptp.minus_minus_nat B) C)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat A) B)) (@ (@ tptp.times_times_nat A) C)))))
% 13.98/14.26 (assume a1259 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.minus_minus_int B) C)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int A) C)))))
% 13.98/14.26 (assume a1260 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex B) C)) A) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex B) A)) (@ (@ tptp.times_times_complex C) A)))))
% 13.98/14.26 (assume a1261 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) C)) A) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real B) A)) (@ (@ tptp.times_times_real C) A)))))
% 13.98/14.26 (assume a1262 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat B) C)) A) (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat B) A)) (@ (@ tptp.times_times_nat C) A)))))
% 13.98/14.26 (assume a1263 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int B) C)) A) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int B) A)) (@ (@ tptp.times_times_int C) A)))))
% 13.98/14.26 (assume a1264 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ (@ tptp.minus_minus_complex B) C)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex A) C)))))
% 13.98/14.26 (assume a1265 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real A) (@ (@ tptp.minus_minus_real B) C)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real A) C)))))
% 13.98/14.26 (assume a1266 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.minus_minus_int B) C)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int A) C)))))
% 13.98/14.26 (assume a1267 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex A) B)) C) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1268 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A) B)) C) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1269 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.26 (assume a1270 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.minus_minus_complex A) B)) C) (@ (@ tptp.minus_minus_complex A) (@ (@ tptp.plus_plus_complex B) C)))))
% 13.98/14.26 (assume a1271 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.minus_minus_real A) B)) C) (@ (@ tptp.minus_minus_real A) (@ (@ tptp.plus_plus_real B) C)))))
% 13.98/14.26 (assume a1272 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat A) B)) C) (@ (@ tptp.minus_minus_nat A) (@ (@ tptp.plus_plus_nat B) C)))))
% 13.98/14.26 (assume a1273 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.minus_minus_int A) (@ (@ tptp.plus_plus_int B) C)))))
% 13.98/14.26 (assume a1274 (forall ((C tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= (@ (@ tptp.plus_plus_complex C) B) A) (= C (@ (@ tptp.minus_minus_complex A) B)))))
% 13.98/14.26 (assume a1275 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (= (@ (@ tptp.plus_plus_real C) B) A) (= C (@ (@ tptp.minus_minus_real A) B)))))
% 13.98/14.26 (assume a1276 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (= (@ (@ tptp.plus_plus_nat C) B) A) (= C (@ (@ tptp.minus_minus_nat A) B)))))
% 13.98/14.26 (assume a1277 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (= (@ (@ tptp.plus_plus_int C) B) A) (= C (@ (@ tptp.minus_minus_int A) B)))))
% 13.98/14.26 (assume a1278 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.minus_minus_complex A) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.minus_minus_complex A) C)) B))))
% 13.98/14.26 (assume a1279 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.minus_minus_real A) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.minus_minus_real (@ (@ tptp.minus_minus_real A) C)) B))))
% 13.98/14.26 (assume a1280 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.minus_minus_int (@ (@ tptp.minus_minus_int A) C)) B))))
% 13.98/14.26 (assume a1281 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex A) B)) C) (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) C)) B))))
% 13.98/14.26 (assume a1282 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real A) B)) C) (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) C)) B))))
% 13.98/14.26 (assume a1283 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) C)) B))))
% 13.98/14.26 (assume a1284 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.minus_minus_complex A) (@ (@ tptp.minus_minus_complex B) C)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) C)) B))))
% 13.98/14.26 (assume a1285 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.minus_minus_real A) (@ (@ tptp.minus_minus_real B) C)) (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) C)) B))))
% 13.98/14.26 (assume a1286 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ (@ tptp.minus_minus_int B) C)) (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) C)) B))))
% 13.98/14.26 (assume a1287 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.minus_minus_complex B) C)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) B)) C))))
% 13.98/14.26 (assume a1288 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.plus_plus_real A) (@ (@ tptp.minus_minus_real B) C)) (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) B)) C))))
% 13.98/14.26 (assume a1289 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int A) (@ (@ tptp.minus_minus_int B) C)) (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) B)) C))))
% 13.98/14.26 (assume a1290 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (= A (@ (@ tptp.minus_minus_complex C) B)) (= (@ (@ tptp.plus_plus_complex A) B) C))))
% 13.98/14.26 (assume a1291 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (= A (@ (@ tptp.minus_minus_real C) B)) (= (@ (@ tptp.plus_plus_real A) B) C))))
% 13.98/14.26 (assume a1292 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (= A (@ (@ tptp.minus_minus_int C) B)) (= (@ (@ tptp.plus_plus_int A) B) C))))
% 13.98/14.26 (assume a1293 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= (@ (@ tptp.minus_minus_complex A) B) C) (= A (@ (@ tptp.plus_plus_complex C) B)))))
% 13.98/14.26 (assume a1294 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (@ (@ tptp.minus_minus_real A) B) C) (= A (@ (@ tptp.plus_plus_real C) B)))))
% 13.98/14.26 (assume a1295 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (@ (@ tptp.minus_minus_int A) B) C) (= A (@ (@ tptp.plus_plus_int C) B)))))
% 13.98/14.26 (assume a1296 (forall ((A2 tptp.complex) (K tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (= A2 (@ (@ tptp.plus_plus_complex K) A)) (= (@ (@ tptp.minus_minus_complex A2) B) (@ (@ tptp.plus_plus_complex K) (@ (@ tptp.minus_minus_complex A) B))))))
% 13.98/14.26 (assume a1297 (forall ((A2 tptp.real) (K tptp.real) (A tptp.real) (B tptp.real)) (=> (= A2 (@ (@ tptp.plus_plus_real K) A)) (= (@ (@ tptp.minus_minus_real A2) B) (@ (@ tptp.plus_plus_real K) (@ (@ tptp.minus_minus_real A) B))))))
% 13.98/14.26 (assume a1298 (forall ((A2 tptp.int) (K tptp.int) (A tptp.int) (B tptp.int)) (=> (= A2 (@ (@ tptp.plus_plus_int K) A)) (= (@ (@ tptp.minus_minus_int A2) B) (@ (@ tptp.plus_plus_int K) (@ (@ tptp.minus_minus_int A) B))))))
% 13.98/14.26 (assume a1299 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (@ (@ tptp.plus_plus_real X) (@ (@ tptp.ord_max_real Y) Z)) (@ (@ tptp.ord_max_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real X) Z)))))
% 13.98/14.26 (assume a1300 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (@ (@ tptp.plus_plus_nat X) (@ (@ tptp.ord_max_nat Y) Z)) (@ (@ tptp.ord_max_nat (@ (@ tptp.plus_plus_nat X) Y)) (@ (@ tptp.plus_plus_nat X) Z)))))
% 13.98/14.26 (assume a1301 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (@ (@ tptp.plus_plus_int X) (@ (@ tptp.ord_max_int Y) Z)) (@ (@ tptp.ord_max_int (@ (@ tptp.plus_plus_int X) Y)) (@ (@ tptp.plus_plus_int X) Z)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a1303 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.ord_max_real X) Y)) Z) (@ (@ tptp.ord_max_real (@ (@ tptp.plus_plus_real X) Z)) (@ (@ tptp.plus_plus_real Y) Z)))))
% 13.98/14.26 (assume a1304 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.ord_max_nat X) Y)) Z) (@ (@ tptp.ord_max_nat (@ (@ tptp.plus_plus_nat X) Z)) (@ (@ tptp.plus_plus_nat Y) Z)))))
% 13.98/14.26 (assume a1305 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.ord_max_int X) Y)) Z) (@ (@ tptp.ord_max_int (@ (@ tptp.plus_plus_int X) Z)) (@ (@ tptp.plus_plus_int Y) Z)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a1308 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.ord_max_real X) Y)) Z) (@ (@ tptp.ord_max_real (@ (@ tptp.minus_minus_real X) Z)) (@ (@ tptp.minus_minus_real Y) Z)))))
% 13.98/14.26 (assume a1309 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.ord_max_int X) Y)) Z) (@ (@ tptp.ord_max_int (@ (@ tptp.minus_minus_int X) Z)) (@ (@ tptp.minus_minus_int Y) Z)))))
% 13.98/14.26 (assume a1310 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) D) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) D))))))
% 13.98/14.26 (assume a1311 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat C) D) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) D))))))
% 13.98/14.26 (assume a1312 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_eq_int C) D) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) D))))))
% 13.98/14.26 (assume a1313 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_real C) D) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) D))))))
% 13.98/14.26 (assume a1314 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_nat C) D) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) C)) (@ (@ tptp.plus_plus_nat B) D))))))
% 13.98/14.26 (assume a1315 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_int C) D) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) C)) (@ (@ tptp.plus_plus_int B) D))))))
% 13.98/14.26 (assume a1316 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (@ (@ tptp.ord_less_real I2) J) (@ (@ tptp.ord_less_eq_real K) L2)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1317 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (@ (@ tptp.ord_less_nat I2) J) (@ (@ tptp.ord_less_eq_nat K) L2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1318 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (@ (@ tptp.ord_less_int I2) J) (@ (@ tptp.ord_less_eq_int K) L2)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1319 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real I2) J) (@ (@ tptp.ord_less_real K) L2)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real I2) K)) (@ (@ tptp.plus_plus_real J) L2)))))
% 13.98/14.26 (assume a1320 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L2 tptp.nat)) (=> (and (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_nat K) L2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) (@ (@ tptp.plus_plus_nat J) L2)))))
% 13.98/14.26 (assume a1321 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L2 tptp.int)) (=> (and (@ (@ tptp.ord_less_eq_int I2) J) (@ (@ tptp.ord_less_int K) L2)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int I2) K)) (@ (@ tptp.plus_plus_int J) L2)))))
% 13.98/14.26 (assume a1322 (forall ((M tptp.real) (N2 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) M) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) N2) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.times_times_real M) N2))))))
% 13.98/14.26 (assume a1323 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) M) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) N2) (@ (@ tptp.ord_less_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat M) N2))))))
% 13.98/14.26 (assume a1324 (forall ((M tptp.int) (N2 tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) M) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) N2) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.times_times_int M) N2))))))
% 13.98/14.26 (assume a1325 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) tptp.one_on7984719198319812577d_enat)) (@ (@ tptp.plus_p3455044024723400733d_enat B) tptp.one_on7984719198319812577d_enat)))))
% 13.98/14.26 (assume a1326 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ (@ tptp.plus_plus_real B) tptp.one_one_real)))))
% 13.98/14.26 (assume a1327 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat B) tptp.one_one_nat)))))
% 13.98/14.26 (assume a1328 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) tptp.one_one_int)) (@ (@ tptp.plus_plus_int B) tptp.one_one_int)))))
% 13.98/14.26 (assume a1329 (forall ((A tptp.real)) (@ (@ tptp.ord_less_real A) (@ (@ tptp.plus_plus_real A) tptp.one_one_real))))
% 13.98/14.26 (assume a1330 (forall ((A tptp.nat)) (@ (@ tptp.ord_less_nat A) (@ (@ tptp.plus_plus_nat A) tptp.one_one_nat))))
% 13.98/14.26 (assume a1331 (forall ((A tptp.int)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.plus_plus_int A) tptp.one_one_int))))
% 13.98/14.26 (assume a1332 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (= (@ (@ tptp.minus_minus_nat B) A) C) (= B (@ (@ tptp.plus_plus_nat C) A)))))))
% 13.98/14.26 (assume a1333 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.minus_minus_nat B) A)) B))))
% 13.98/14.26 (assume a1334 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.minus_minus_nat C) (@ (@ tptp.minus_minus_nat B) A)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat C) A)) B)))))
% 13.98/14.26 (assume a1335 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat B) C)) A) (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat B) A)) C)))))
% 13.98/14.26 (assume a1336 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat B) A)) C) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat B) C)) A)))))
% 13.98/14.26 (assume a1337 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat C) B)) A) (@ (@ tptp.plus_plus_nat C) (@ (@ tptp.minus_minus_nat B) A))))))
% 13.98/14.26 (assume a1338 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.plus_plus_nat C) (@ (@ tptp.minus_minus_nat B) A)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat C) B)) A)))))
% 13.98/14.26 (assume a1339 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.ord_less_eq_nat C) (@ (@ tptp.minus_minus_nat B) A)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat C) A)) B)))))
% 13.98/14.26 (assume a1340 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (@ (@ tptp.ord_less_eq_nat C) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat B) C)) A)))))
% 13.98/14.26 (assume a1341 (forall ((I2 tptp.real) (K tptp.real) (N2 tptp.real) (J tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real I2) K)) N2) (=> (@ (@ tptp.ord_less_eq_real N2) (@ (@ tptp.plus_plus_real J) K)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real I2) K)) N2) (=> (@ (@ tptp.ord_less_eq_real N2) (@ (@ tptp.plus_plus_real J) K)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real N2) K)) J)))))))
% 13.98/14.26 (assume a1342 (forall ((I2 tptp.nat) (K tptp.nat) (N2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) (@ (@ tptp.plus_plus_nat J) K)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) (@ (@ tptp.plus_plus_nat J) K)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.minus_minus_nat N2) K)) J)))))))
% 13.98/14.26 (assume a1343 (forall ((I2 tptp.int) (K tptp.int) (N2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) K)) N2) (=> (@ (@ tptp.ord_less_eq_int N2) (@ (@ tptp.plus_plus_int J) K)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) K)) N2) (=> (@ (@ tptp.ord_less_eq_int N2) (@ (@ tptp.plus_plus_int J) K)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int N2) K)) J)))))))
% 13.98/14.26 (assume a1344 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat B) A)) A) B))))
% 13.98/14.26 (assume a1345 (forall ((I2 tptp.real) (K tptp.real) (N2 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real I2) K)) N2) (@ (@ tptp.ord_less_eq_real I2) (@ (@ tptp.minus_minus_real N2) K)))))
% 13.98/14.26 (assume a1346 (forall ((I2 tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) K)) N2) (@ (@ tptp.ord_less_eq_nat I2) (@ (@ tptp.minus_minus_nat N2) K)))))
% 13.98/14.26 (assume a1347 (forall ((I2 tptp.int) (K tptp.int) (N2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) K)) N2) (@ (@ tptp.ord_less_eq_int I2) (@ (@ tptp.minus_minus_int N2) K)))))
% 13.98/14.26 (assume a1348 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.minus_minus_real C) B)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) B)) C))))
% 13.98/14.26 (assume a1349 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.minus_minus_int C) B)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) B)) C))))
% 13.98/14.26 (assume a1350 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real A) B)) C) (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.plus_plus_real C) B)))))
% 13.98/14.26 (assume a1351 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.plus_plus_int C) B)))))
% 13.98/14.26 (assume a1352 (forall ((A tptp.real) (B tptp.real)) (=> (not (@ (@ tptp.ord_less_real A) B)) (= (@ (@ tptp.plus_plus_real B) (@ (@ tptp.minus_minus_real A) B)) A))))
% 13.98/14.26 (assume a1353 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat A) B)) (= (@ (@ tptp.plus_plus_nat B) (@ (@ tptp.minus_minus_nat A) B)) A))))
% 13.98/14.26 (assume a1354 (forall ((A tptp.int) (B tptp.int)) (=> (not (@ (@ tptp.ord_less_int A) B)) (= (@ (@ tptp.plus_plus_int B) (@ (@ tptp.minus_minus_int A) B)) A))))
% 13.98/14.26 (assume a1355 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.minus_minus_real C) B)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) B)) C))))
% 13.98/14.26 (assume a1356 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int A) (@ (@ tptp.minus_minus_int C) B)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) B)) C))))
% 13.98/14.26 (assume a1357 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real A) B)) C) (@ (@ tptp.ord_less_real A) (@ (@ tptp.plus_plus_real C) B)))))
% 13.98/14.26 (assume a1358 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.ord_less_int A) (@ (@ tptp.plus_plus_int C) B)))))
% 13.98/14.26 (assume a1359 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex X) X)) (@ (@ tptp.times_times_complex Y) Y)) (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.minus_minus_complex X) Y)))))
% 13.98/14.26 (assume a1360 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y)) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.minus_minus_real X) Y)))))
% 13.98/14.26 (assume a1361 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int X) X)) (@ (@ tptp.times_times_int Y) Y)) (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int X) Y)) (@ (@ tptp.minus_minus_int X) Y)))))
% 13.98/14.26 (assume a1362 (forall ((A tptp.complex) (E tptp.complex) (C tptp.complex) (B tptp.complex) (D tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) E)) C) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex B) E)) D)) (= C (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex B) A)) E)) D)))))
% 13.98/14.26 (assume a1363 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) D)) (= C (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) A)) E)) D)))))
% 13.98/14.26 (assume a1364 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) D)) (= C (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int B) A)) E)) D)))))
% 13.98/14.26 (assume a1365 (forall ((A tptp.complex) (E tptp.complex) (C tptp.complex) (B tptp.complex) (D tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) E)) C) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex B) E)) D)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex A) B)) E)) C) D))))
% 13.98/14.26 (assume a1366 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) D)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A) B)) E)) C) D))))
% 13.98/14.26 (assume a1367 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) D)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int A) B)) E)) C) D))))
% 13.98/14.26 (assume a1368 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) D)) (@ (@ tptp.ord_less_eq_real C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) A)) E)) D)))))
% 13.98/14.26 (assume a1369 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) D)) (@ (@ tptp.ord_less_eq_int C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int B) A)) E)) D)))))
% 13.98/14.26 (assume a1370 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) D)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A) B)) E)) C)) D))))
% 13.98/14.26 (assume a1371 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) D)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int A) B)) E)) C)) D))))
% 13.98/14.26 (assume a1372 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) D)) (@ (@ tptp.ord_less_real C) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) A)) E)) D)))))
% 13.98/14.26 (assume a1373 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) D)) (@ (@ tptp.ord_less_int C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int B) A)) E)) D)))))
% 13.98/14.26 (assume a1374 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real B) E)) D)) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A) B)) E)) C)) D))))
% 13.98/14.26 (assume a1375 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) E)) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) E)) D)) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int A) B)) E)) C)) D))))
% 13.98/14.26 (assume a1376 (forall ((X tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex X) X)) tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex X) tptp.one_one_complex)) (@ (@ tptp.minus_minus_complex X) tptp.one_one_complex)))))
% 13.98/14.26 (assume a1377 (forall ((X tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) X)) tptp.one_one_real) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)) (@ (@ tptp.minus_minus_real X) tptp.one_one_real)))))
% 13.98/14.26 (assume a1378 (forall ((X tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int X) X)) tptp.one_one_int) (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int X) tptp.one_one_int)) (@ (@ tptp.minus_minus_int X) tptp.one_one_int)))))
% 13.98/14.26 (assume a1379 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) B)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) A) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real B) A)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a1380 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real B) A)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) A) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real B) A)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a1381 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.times_times_real A) (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real A) B)) C))))
% 13.98/14.26 (assume a1382 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ (@ tptp.divide1717551699836669952omplex B) C)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A) B)) C))))
% 13.98/14.26 (assume a1383 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.divide_divide_real A) (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real A) C)) B))))
% 13.98/14.26 (assume a1384 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) (@ (@ tptp.divide1717551699836669952omplex B) C)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A) C)) B))))
% 13.98/14.26 (assume a1385 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.divide_divide_real A) B)) C) (@ (@ tptp.divide_divide_real A) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.26 (assume a1386 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) C) (@ (@ tptp.divide1717551699836669952omplex A) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.26 (assume a1387 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real B) C)) A) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real B) A)) C))))
% 13.98/14.26 (assume a1388 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.divide1717551699836669952omplex B) C)) A) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex B) A)) C))))
% 13.98/14.26 (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)))
% 13.98/14.26 (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)))
% 13.98/14.26 (assume a1391 (forall ((L2 tptp.num) (R tptp.nat) (Q2 tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat L2)) R) (= (@ (@ tptp.unique5026877609467782581ep_nat L2) (@ (@ tptp.product_Pair_nat_nat Q2) R)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q2)) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat R) (@ tptp.numeral_numeral_nat L2))))) (=> (not (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat L2)) R)) (= (@ (@ tptp.unique5026877609467782581ep_nat L2) (@ (@ tptp.product_Pair_nat_nat Q2) R)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q2)) R))))))
% 13.98/14.26 (assume a1392 (forall ((L2 tptp.num) (R tptp.int) (Q2 tptp.int)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int L2)) R) (= (@ (@ tptp.unique5024387138958732305ep_int L2) (@ (@ tptp.product_Pair_int_int Q2) R)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q2)) tptp.one_one_int)) (@ (@ tptp.minus_minus_int R) (@ tptp.numeral_numeral_int L2))))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int L2)) R)) (= (@ (@ tptp.unique5024387138958732305ep_int L2) (@ (@ tptp.product_Pair_int_int Q2) R)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q2)) R))))))
% 13.98/14.26 (assume a1393 (forall ((L2 tptp.num) (R tptp.code_integer) (Q2 tptp.code_integer)) (and (=> (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger L2)) R) (= (@ (@ tptp.unique4921790084139445826nteger L2) (@ (@ tptp.produc1086072967326762835nteger Q2) R)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q2)) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger R) (@ tptp.numera6620942414471956472nteger L2))))) (=> (not (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger L2)) R)) (= (@ (@ tptp.unique4921790084139445826nteger L2) (@ (@ tptp.produc1086072967326762835nteger Q2) R)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q2)) R))))))
% 13.98/14.26 (assume a1394 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_eq_nat Mi) X) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_less (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) tptp.none_nat) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))))))))
% 13.98/14.26 (assume a1395 (= tptp.vEBT_VEBT_set_vebt (lambda ((T2 tptp.vEBT_VEBT)) (@ tptp.collect_nat (@ tptp.vEBT_vebt_member T2)))))
% 13.98/14.26 (assume a1396 (forall ((V tptp.num) (W tptp.num)) (= (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int (@ tptp.bit0 V))) (@ tptp.numeral_numeral_int (@ tptp.bit0 W))) (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int W)))))
% 13.98/14.26 (assume a1397 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H2 tptp.nat) (L2 tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (@ (@ tptp.ord_less_nat Mi) X) (@ (@ tptp.ord_less_eq_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (= Newnode (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2)) (=> (= Newlist (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) Newnode)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (and (=> (@ tptp.vEBT_VEBT_minNull Newnode) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ (@ tptp.if_nat (= X Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2)) tptp.none_nat)) Mi) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT Newlist) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))))))) Ma)))) Deg) Newlist) (@ (@ tptp.vEBT_vebt_delete Summary) H2)))) (=> (not (@ tptp.vEBT_VEBT_minNull Newnode)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ (@ tptp.if_nat (= X Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT Newlist) H2))))) Ma)))) Deg) Newlist) Summary))))))))))))))
% 13.98/14.26 (assume a1398 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H2 tptp.nat) (L2 tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (Sn tptp.vEBT_VEBT) (Summary tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (@ (@ tptp.ord_less_nat Mi) X) (@ (@ tptp.ord_less_eq_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (= Newnode (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2)) (=> (@ tptp.vEBT_VEBT_minNull Newnode) (=> (= Sn (@ (@ tptp.vEBT_vebt_delete Summary) H2)) (=> (= Newlist (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) Newnode)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ (@ tptp.if_nat (= X Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt Sn) tptp.none_nat)) Mi) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ 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))))))))))))))
% 13.98/14.26 (assume a1399 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H2 tptp.nat) (L2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (@ (@ tptp.ord_less_nat Mi) X) (@ (@ tptp.ord_less_eq_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ (@ tptp.if_nat (= X Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2)) tptp.none_nat)) Mi) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) (@ (@ tptp.vEBT_vebt_delete Summary) H2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) (@ (@ (@ tptp.if_nat (= X Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) H2))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) Summary)))))))))))
% 13.98/14.26 (assume a1400 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (@ (@ tptp.ord_less_eq_nat Mi) X) (@ (@ tptp.ord_less_eq_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_VEBT_VEBT (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) (@ (@ (@ tptp.if_nat (and (=> (= X Mi) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary)))))) Ma)) (=> (not (= X Mi)) (= X Ma)))) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) (@ (@ (@ tptp.if_nat (and (=> (= X Mi) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary)))))) Ma)) (=> (not (= X Mi)) (= X Ma)))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) Summary))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary))))))))
% 13.98/14.26 (assume a1401 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H2 tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (L2 tptp.nat)) (=> (and (= X Mi) (@ (@ tptp.ord_less_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= Xn (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (=> (= (@ (@ tptp.vEBT_VEBT_low Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xn) (@ (@ (@ tptp.if_nat (= Xn Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2)) tptp.none_nat)) Xn) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) (@ (@ tptp.vEBT_vebt_delete Summary) H2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xn) (@ (@ (@ tptp.if_nat (= Xn Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) H2))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2))) Summary))))))))))))
% 13.98/14.26 (assume a1402 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H2 tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (L2 tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (= X Mi) (@ (@ tptp.ord_less_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= Xn (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (=> (= (@ (@ tptp.vEBT_VEBT_low Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (=> (= Newnode (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2)) (=> (= Newlist (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) Newnode)) (and (=> (@ tptp.vEBT_VEBT_minNull Newnode) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xn) (@ (@ (@ tptp.if_nat (= Xn Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2)) tptp.none_nat)) Xn) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT Newlist) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) H2))))))))) Ma)))) Deg) Newlist) (@ (@ tptp.vEBT_vebt_delete Summary) H2)))) (=> (not (@ tptp.vEBT_VEBT_minNull Newnode)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xn) (@ (@ (@ tptp.if_nat (= Xn Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat H2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT Newlist) H2))))) Ma)))) Deg) Newlist) Summary)))))))))))))))
% 13.98/14.26 (assume a1403 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H2 tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList2 tptp.list_VEBT_VEBT) (L2 tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Sn tptp.vEBT_VEBT)) (=> (and (= X Mi) (@ (@ tptp.ord_less_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (= (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) H2) (=> (= Xn (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (=> (= (@ (@ tptp.vEBT_VEBT_low Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) L2) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xn) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (=> (= Newnode (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) H2)) L2)) (=> (= Newlist (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) H2) Newnode)) (=> (@ tptp.vEBT_VEBT_minNull Newnode) (=> (= Sn (@ (@ tptp.vEBT_vebt_delete Summary) H2)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xn) (@ (@ (@ tptp.if_nat (= Xn Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt Sn) tptp.none_nat)) Xn) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ 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)))))))))))))))
% 13.98/14.26 (assume a1404 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (= X Mi) (@ (@ tptp.ord_less_nat X) Ma)) (=> (not (= Mi Ma)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_VEBT_VEBT (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary)))))) Ma)) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary)))))) Ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) Ma)))) Deg) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) Summary))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary))))))))
% 13.98/14.26 (assume a1405 (forall ((Deg tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Mi tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_eq_nat X) Ma) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_greater (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat Mi) X)) (@ tptp.some_nat Mi)) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))))))))
% 13.98/14.26 (assume a1406 (forall ((Deg tptp.nat) (X tptp.nat) (Ma tptp.nat) (Mi tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_eq_nat X) Ma) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_greater (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat Mi) X)) (@ tptp.some_nat Mi)) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))) tptp.none_nat))))))
% 13.98/14.26 (assume a1407 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg) (=> (@ (@ tptp.ord_less_eq_nat Mi) X) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) Deg) TreeList2) Summary)) X) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_less (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) tptp.none_nat) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))) tptp.none_nat))))))
% 13.98/14.26 (assume a1408 (forall ((C tptp.complex)) (= (lambda ((X2 tptp.complex)) (@ (@ tptp.times_times_complex X2) C)) (@ tptp.times_times_complex C))))
% 13.98/14.26 (assume a1409 (forall ((C tptp.real)) (= (lambda ((X2 tptp.real)) (@ (@ tptp.times_times_real X2) C)) (@ tptp.times_times_real C))))
% 13.98/14.26 (assume a1410 (forall ((C tptp.nat)) (= (lambda ((X2 tptp.nat)) (@ (@ tptp.times_times_nat X2) C)) (@ tptp.times_times_nat C))))
% 13.98/14.26 (assume a1411 (forall ((C tptp.int)) (= (lambda ((X2 tptp.int)) (@ (@ tptp.times_times_int X2) C)) (@ tptp.times_times_int C))))
% 13.98/14.26 (assume a1412 (= (lambda ((X2 tptp.extended_enat)) X2) (@ tptp.times_7803423173614009249d_enat tptp.one_on7984719198319812577d_enat)))
% 13.98/14.26 (assume a1413 (= (lambda ((X2 tptp.complex)) X2) (@ tptp.times_times_complex tptp.one_one_complex)))
% 13.98/14.26 (assume a1414 (= (lambda ((X2 tptp.real)) X2) (@ tptp.times_times_real tptp.one_one_real)))
% 13.98/14.26 (assume a1415 (= (lambda ((X2 tptp.nat)) X2) (@ tptp.times_times_nat tptp.one_one_nat)))
% 13.98/14.26 (assume a1416 (= (lambda ((X2 tptp.int)) X2) (@ tptp.times_times_int tptp.one_one_int)))
% 13.98/14.26 (assume a1417 (forall ((X tptp.produc5542196010084753463at_nat)) (=> (forall ((Uu2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Uv2 tptp.option4927543243414619207at_nat)) (not (= X (@ (@ tptp.produc2899441246263362727at_nat Uu2) (@ (@ tptp.produc488173922507101015at_nat tptp.none_P5556105721700978146at_nat) Uv2))))) (=> (forall ((Uw2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (V2 tptp.product_prod_nat_nat)) (not (= X (@ (@ tptp.produc2899441246263362727at_nat Uw2) (@ (@ tptp.produc488173922507101015at_nat (@ tptp.some_P7363390416028606310at_nat V2)) tptp.none_P5556105721700978146at_nat))))) (not (forall ((F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A3 tptp.product_prod_nat_nat) (B3 tptp.product_prod_nat_nat)) (not (= X (@ (@ tptp.produc2899441246263362727at_nat F2) (@ (@ tptp.produc488173922507101015at_nat (@ tptp.some_P7363390416028606310at_nat A3)) (@ tptp.some_P7363390416028606310at_nat B3)))))))))))
% 13.98/14.26 (assume a1418 (forall ((X tptp.produc8306885398267862888on_nat)) (=> (forall ((Uu2 (-> tptp.nat tptp.nat tptp.nat)) (Uv2 tptp.option_nat)) (not (= X (@ (@ tptp.produc8929957630744042906on_nat Uu2) (@ (@ tptp.produc5098337634421038937on_nat tptp.none_nat) Uv2))))) (=> (forall ((Uw2 (-> tptp.nat tptp.nat tptp.nat)) (V2 tptp.nat)) (not (= X (@ (@ tptp.produc8929957630744042906on_nat Uw2) (@ (@ tptp.produc5098337634421038937on_nat (@ tptp.some_nat V2)) tptp.none_nat))))) (not (forall ((F2 (-> tptp.nat tptp.nat tptp.nat)) (A3 tptp.nat) (B3 tptp.nat)) (not (= X (@ (@ tptp.produc8929957630744042906on_nat F2) (@ (@ tptp.produc5098337634421038937on_nat (@ tptp.some_nat A3)) (@ tptp.some_nat B3)))))))))))
% 13.98/14.26 (assume a1419 (forall ((X tptp.produc1193250871479095198on_num)) (=> (forall ((Uu2 (-> tptp.num tptp.num tptp.num)) (Uv2 tptp.option_num)) (not (= X (@ (@ tptp.produc5778274026573060048on_num Uu2) (@ (@ tptp.produc8585076106096196333on_num tptp.none_num) Uv2))))) (=> (forall ((Uw2 (-> tptp.num tptp.num tptp.num)) (V2 tptp.num)) (not (= X (@ (@ tptp.produc5778274026573060048on_num Uw2) (@ (@ tptp.produc8585076106096196333on_num (@ tptp.some_num V2)) tptp.none_num))))) (not (forall ((F2 (-> tptp.num tptp.num tptp.num)) (A3 tptp.num) (B3 tptp.num)) (not (= X (@ (@ tptp.produc5778274026573060048on_num F2) (@ (@ tptp.produc8585076106096196333on_num (@ tptp.some_num A3)) (@ tptp.some_num B3)))))))))))
% 13.98/14.26 (assume a1420 (forall ((X tptp.produc5491161045314408544at_nat)) (=> (forall ((Uu2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Uv2 tptp.option4927543243414619207at_nat)) (not (= X (@ (@ tptp.produc3994169339658061776at_nat Uu2) (@ (@ tptp.produc488173922507101015at_nat tptp.none_P5556105721700978146at_nat) Uv2))))) (=> (forall ((Uw2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (V2 tptp.product_prod_nat_nat)) (not (= X (@ (@ tptp.produc3994169339658061776at_nat Uw2) (@ (@ tptp.produc488173922507101015at_nat (@ tptp.some_P7363390416028606310at_nat V2)) tptp.none_P5556105721700978146at_nat))))) (not (forall ((F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (X5 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (not (= X (@ (@ tptp.produc3994169339658061776at_nat F2) (@ (@ tptp.produc488173922507101015at_nat (@ tptp.some_P7363390416028606310at_nat X5)) (@ tptp.some_P7363390416028606310at_nat Y5)))))))))))
% 13.98/14.26 (assume a1421 (forall ((X tptp.produc2233624965454879586on_nat)) (=> (forall ((Uu2 (-> tptp.nat tptp.nat Bool)) (Uv2 tptp.option_nat)) (not (= X (@ (@ tptp.produc4035269172776083154on_nat Uu2) (@ (@ tptp.produc5098337634421038937on_nat tptp.none_nat) Uv2))))) (=> (forall ((Uw2 (-> tptp.nat tptp.nat Bool)) (V2 tptp.nat)) (not (= X (@ (@ tptp.produc4035269172776083154on_nat Uw2) (@ (@ tptp.produc5098337634421038937on_nat (@ tptp.some_nat V2)) tptp.none_nat))))) (not (forall ((F2 (-> tptp.nat tptp.nat Bool)) (X5 tptp.nat) (Y5 tptp.nat)) (not (= X (@ (@ tptp.produc4035269172776083154on_nat F2) (@ (@ tptp.produc5098337634421038937on_nat (@ tptp.some_nat X5)) (@ tptp.some_nat Y5)))))))))))
% 13.98/14.26 (assume a1422 (forall ((X tptp.produc7036089656553540234on_num)) (=> (forall ((Uu2 (-> tptp.num tptp.num Bool)) (Uv2 tptp.option_num)) (not (= X (@ (@ tptp.produc3576312749637752826on_num Uu2) (@ (@ tptp.produc8585076106096196333on_num tptp.none_num) Uv2))))) (=> (forall ((Uw2 (-> tptp.num tptp.num Bool)) (V2 tptp.num)) (not (= X (@ (@ tptp.produc3576312749637752826on_num Uw2) (@ (@ tptp.produc8585076106096196333on_num (@ tptp.some_num V2)) tptp.none_num))))) (not (forall ((F2 (-> tptp.num tptp.num Bool)) (X5 tptp.num) (Y5 tptp.num)) (not (= X (@ (@ tptp.produc3576312749637752826on_num F2) (@ (@ tptp.produc8585076106096196333on_num (@ tptp.some_num X5)) (@ tptp.some_num Y5)))))))))))
% 13.98/14.26 (assume a1423 (= tptp.vEBT_set_vebt (lambda ((T2 tptp.vEBT_VEBT)) (@ tptp.collect_nat (@ tptp.vEBT_V8194947554948674370ptions T2)))))
% 13.98/14.26 (assume a1424 (forall ((N2 tptp.num)) (= (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 N2)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat N2)))))
% 13.98/14.26 (assume a1425 (forall ((N2 tptp.num)) (= (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex N2)))))
% 13.98/14.26 (assume a1426 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_real (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real N2)))))
% 13.98/14.26 (assume a1427 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.26 (assume a1428 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)) (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.26 (assume a1429 (forall ((Z tptp.complex) (W tptp.num)) (= (@ (@ tptp.power_power_complex Z) (@ tptp.numeral_numeral_nat (@ tptp.bit0 W))) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex Z) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.power_power_complex Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.26 (assume a1430 (forall ((Z tptp.real) (W tptp.num)) (= (@ (@ tptp.power_power_real Z) (@ tptp.numeral_numeral_nat (@ tptp.bit0 W))) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real Z) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.power_power_real Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.26 (assume a1431 (forall ((Z tptp.nat) (W tptp.num)) (= (@ (@ tptp.power_power_nat Z) (@ tptp.numeral_numeral_nat (@ tptp.bit0 W))) (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat Z) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.power_power_nat Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.26 (assume a1432 (forall ((Z tptp.int) (W tptp.num)) (= (@ (@ tptp.power_power_int Z) (@ tptp.numeral_numeral_nat (@ tptp.bit0 W))) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int Z) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.power_power_int Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.26 (assume a1433 (forall ((X3 tptp.real)) (exists ((Y5 tptp.real)) (@ (@ tptp.ord_less_real Y5) X3))))
% 13.98/14.26 (assume a1434 (forall ((X3 tptp.real)) (exists ((X_1 tptp.real)) (@ (@ tptp.ord_less_real X3) X_1))))
% 13.98/14.26 (assume a1435 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real) (W tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real Z) W)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real Y) W)))))
% 13.98/14.26 (assume a1436 (forall ((X tptp.complex) (Y tptp.complex) (Z tptp.complex) (W tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide1717551699836669952omplex Z) W)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex X) Z)) (@ (@ tptp.times_times_complex Y) W)))))
% 13.98/14.26 (assume a1437 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real) (W tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real Z) W)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real X) W)) (@ (@ tptp.times_times_real Y) Z)))))
% 13.98/14.26 (assume a1438 (forall ((X tptp.complex) (Y tptp.complex) (Z tptp.complex) (W tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide1717551699836669952omplex Z) W)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex X) W)) (@ (@ tptp.times_times_complex Y) Z)))))
% 13.98/14.26 (assume a1439 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.divide_divide_real A) B)) C) (@ (@ tptp.divide_divide_real A) (@ (@ tptp.times_times_real C) B)))))
% 13.98/14.26 (assume a1440 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) C) (@ (@ tptp.divide1717551699836669952omplex A) (@ (@ tptp.times_times_complex C) B)))))
% 13.98/14.26 (assume a1441 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) B)) C) (@ (@ tptp.plus_plus_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C)))))
% 13.98/14.26 (assume a1442 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex A) B)) C) (@ (@ tptp.plus_plus_complex (@ (@ tptp.divide1717551699836669952omplex A) C)) (@ (@ tptp.divide1717551699836669952omplex B) C)))))
% 13.98/14.26 (assume a1443 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real A) B)) C) (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C)))))
% 13.98/14.26 (assume a1444 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex A) B)) C) (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex A) C)) (@ (@ tptp.divide1717551699836669952omplex B) C)))))
% 13.98/14.26 (assume a1445 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ (@ (@ tptp.if_VEBT_VEBT (and (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (not (or (= X Mi) (= X Ma))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) X) Mi)) (@ (@ tptp.ord_max_nat (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) Ma)))) (@ tptp.suc (@ tptp.suc Va))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_insert Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat X) Mi)) Mi) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) Summary))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)))))
% 13.98/14.26 (assume a1446 (forall ((Ma tptp.nat) (X tptp.nat) (Mi tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (@ (@ tptp.ord_less_nat Ma) X) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ tptp.some_nat Ma))) (=> (not (@ (@ tptp.ord_less_nat Ma) X)) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_greater (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat Mi) X)) (@ tptp.some_nat Mi)) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_pred Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))) tptp.none_nat))))))
% 13.98/14.26 (assume a1447 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (@ (@ tptp.ord_less_nat X) Mi) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ tptp.some_nat Mi))) (=> (not (@ (@ tptp.ord_less_nat X) Mi)) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_less (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) tptp.none_nat) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_succ Summary) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))) tptp.none_nat))))))
% 13.98/14.26 (assume a1448 (= tptp.vEBT_is_pred_in_set (lambda ((Xs tptp.set_nat) (X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.member_nat Y3) Xs) (@ (@ tptp.ord_less_nat Y3) X2) (forall ((Z5 tptp.nat)) (=> (@ (@ tptp.member_nat Z5) Xs) (=> (@ (@ tptp.ord_less_nat Z5) X2) (@ (@ tptp.ord_less_eq_nat Z5) Y3))))))))
% 13.98/14.26 (assume a1449 (= tptp.vEBT_is_succ_in_set (lambda ((Xs tptp.set_nat) (X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.member_nat Y3) Xs) (@ (@ tptp.ord_less_nat X2) Y3) (forall ((Z5 tptp.nat)) (=> (@ (@ tptp.member_nat Z5) Xs) (=> (@ (@ tptp.ord_less_nat X2) Z5) (@ (@ tptp.ord_less_eq_nat Y3) Z5))))))))
% 13.98/14.26 (assume a1450 (= tptp.ord_less_nat (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A4) tptp.one_one_nat)) __flatten_var_0))))
% 13.98/14.26 (assume a1451 (= tptp.ord_less_int (lambda ((A4 tptp.int) (__flatten_var_0 tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A4) tptp.one_one_int)) __flatten_var_0))))
% 13.98/14.26 (assume a1452 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))) B))))
% 13.98/14.26 (assume a1453 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real A) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))))))
% 13.98/14.26 (assume a1454 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (or (@ (@ tptp.ord_less_nat X) Mi) (@ (@ tptp.ord_less_nat Ma) X)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary))) (=> (not (or (@ (@ tptp.ord_less_nat X) Mi) (@ (@ tptp.ord_less_nat Ma) X))) (and (=> (and (= X Mi) (= X Ma)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary))) (=> (not (and (= X Mi) (= X Ma))) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (@ (@ (@ tptp.if_VEBT_VEBT (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) (@ (@ (@ tptp.if_nat (and (=> (= X Mi) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary)))))) Ma)) (=> (not (= X Mi)) (= X Ma)))) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))) Ma)))) (@ tptp.suc (@ tptp.suc Va))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_delete Summary) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) (@ (@ (@ tptp.if_nat (and (=> (= X Mi) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary)))))) Ma)) (=> (not (= X Mi)) (= X Ma)))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) Ma)))) (@ tptp.suc (@ tptp.suc Va))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= X Mi)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary))))))) X)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) Summary))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)))))))))
% 13.98/14.26 (assume a1455 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_vebt_member (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc (@ tptp.suc Va))) TreeList2) Summary)) X) (=> (not (= X Mi)) (=> (not (= X Ma)) (and (not (@ (@ tptp.ord_less_nat X) Mi)) (=> (not (@ (@ tptp.ord_less_nat X) Mi)) (and (not (@ (@ tptp.ord_less_nat Ma) X)) (=> (not (@ (@ tptp.ord_less_nat Ma) X)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 13.98/14.26 (assume a1456 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (= (@ (@ tptp.vEBT_vebt_succ T) X) tptp.none_nat) (= (@ tptp.collect_nat (lambda ((Y3 tptp.nat)) (and (@ (@ tptp.vEBT_vebt_member T) Y3) (@ (@ tptp.ord_less_nat X) Y3)))) tptp.bot_bot_set_nat)))))
% 13.98/14.26 (assume a1457 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (= (= (@ (@ tptp.vEBT_vebt_pred T) X) tptp.none_nat) (= (@ tptp.collect_nat (lambda ((Y3 tptp.nat)) (and (@ (@ tptp.vEBT_vebt_member T) Y3) (@ (@ tptp.ord_less_nat Y3) X)))) tptp.bot_bot_set_nat)))))
% 13.98/14.26 (assume a1458 (forall ((Mi tptp.nat) (Ma tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_VEBT_membermima (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc V)) TreeList2) Vc)) X) (or (= X Mi) (= X Ma) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)))))))
% 13.98/14.26 (assume a1459 (forall ((Uy tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ (@ (@ tptp.vEBT_Node Uy) (@ tptp.suc V)) TreeList2) S3)) X) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))))))
% 13.98/14.26 (assume a1460 (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_VEBT_membermima (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V)) TreeList2) Vd)) X) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList2) (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) (@ (@ tptp.divide_divide_nat (@ tptp.suc V)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList2))))))
% 13.98/14.26 (assume a1461 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_maxt T) tptp.none_nat) (= (@ tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 13.98/14.26 (assume a1462 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= (@ tptp.vEBT_vebt_mint T) tptp.none_nat) (= (@ tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 13.98/14.26 (assume a1463 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (@ (@ tptp.vEBT_vebt_pred X) Xa2) Y) (=> (=> (exists ((Uu2 Bool) (Uv2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2))) (=> (= Xa2 tptp.zero_zero_nat) (not (= Y tptp.none_nat)))) (=> (forall ((A3 Bool)) (=> (exists ((Uw2 Bool)) (= X (@ (@ tptp.vEBT_Leaf A3) Uw2))) (=> (= Xa2 (@ tptp.suc tptp.zero_zero_nat)) (not (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A3) (= Y tptp.none_nat))))))) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (exists ((Va2 tptp.nat)) (= Xa2 (@ tptp.suc (@ tptp.suc Va2)))) (not (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not B3) (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not 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.suc tptp.zero_zero_nat)) Vh) Vi))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (not (and (=> (@ (@ tptp.ord_less_nat Ma2) Xa2) (= Y (@ tptp.some_nat Ma2))) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (= Y (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_greater (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_pred Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat Mi2) Xa2)) (@ tptp.some_nat Mi2)) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_pred Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_pred Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))) tptp.none_nat)))))))))))))))))
% 13.98/14.26 (assume a1464 (forall ((T tptp.vEBT_VEBT)) (not (@ (@ tptp.vEBT_invar_vebt T) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1465 (forall ((T tptp.vEBT_VEBT)) (not (@ (@ tptp.vEBT_invar_vebt T) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1466 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.26 (assume a1467 (forall ((A Bool) (B Bool)) (not (@ (@ tptp.vEBT_invar_vebt (@ (@ tptp.vEBT_Leaf A) B)) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1468 (forall ((T tptp.vEBT_VEBT)) (= (@ (@ tptp.vEBT_invar_vebt T) tptp.one_one_nat) (exists ((A4 Bool) (B4 Bool)) (= T (@ (@ tptp.vEBT_Leaf A4) B4))))))
% 13.98/14.26 (assume a1469 (forall ((T tptp.vEBT_VEBT)) (=> (@ (@ tptp.vEBT_invar_vebt T) tptp.one_one_nat) (exists ((A3 Bool) (B3 Bool)) (= T (@ (@ tptp.vEBT_Leaf A3) B3))))))
% 13.98/14.26 (assume a1470 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (=> (= N2 tptp.one_one_nat) (exists ((A3 Bool) (B3 Bool)) (= T (@ (@ tptp.vEBT_Leaf A3) B3)))))))
% 13.98/14.26 (assume a1471 (= tptp.vEBT_V8194947554948674370ptions (lambda ((T2 tptp.vEBT_VEBT) (X2 tptp.nat)) (or (@ (@ tptp.vEBT_V5719532721284313246member T2) X2) (@ (@ tptp.vEBT_VEBT_membermima T2) X2)))))
% 13.98/14.26 (assume a1472 (forall ((Tree tptp.vEBT_VEBT) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt Tree) N2) (=> (@ (@ tptp.vEBT_vebt_member Tree) X) (or (@ (@ tptp.vEBT_V5719532721284313246member Tree) X) (@ (@ tptp.vEBT_VEBT_membermima Tree) X))))))
% 13.98/14.26 (assume a1473 (forall ((X21 Bool) (X222 Bool) (Y21 Bool) (Y222 Bool)) (= (= (@ (@ tptp.vEBT_Leaf X21) X222) (@ (@ tptp.vEBT_Leaf Y21) Y222)) (and (= X21 Y21) (= X222 Y222)))))
% 13.98/14.26 (assume a1474 (forall ((N2 tptp.extended_enat)) (= (@ (@ tptp.ord_le2932123472753598470d_enat N2) tptp.zero_z5237406670263579293d_enat) (= N2 tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a1475 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat N2) tptp.zero_zero_nat) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1476 (forall ((N2 tptp.extended_enat)) (= (not (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N2)) (= N2 tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a1477 (forall ((N2 tptp.nat)) (= (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1478 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.times_times_complex A) C) (@ (@ tptp.times_times_complex B) C)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 13.98/14.26 (assume a1479 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (= (@ (@ tptp.times_times_real A) C) (@ (@ tptp.times_times_real B) C)) (or (= C tptp.zero_zero_real) (= A B)))))
% 13.98/14.26 (assume a1480 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.times_times_nat A) C) (@ (@ tptp.times_times_nat B) C)) (or (= C tptp.zero_zero_nat) (= A B)))))
% 13.98/14.26 (assume a1481 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (= (@ (@ tptp.times_times_int A) C) (@ (@ tptp.times_times_int B) C)) (or (= C tptp.zero_zero_int) (= A B)))))
% 13.98/14.26 (assume a1482 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.times_times_complex C) A) (@ (@ tptp.times_times_complex C) B)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 13.98/14.26 (assume a1483 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.times_times_real C) A) (@ (@ tptp.times_times_real C) B)) (or (= C tptp.zero_zero_real) (= A B)))))
% 13.98/14.26 (assume a1484 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.times_times_nat C) A) (@ (@ tptp.times_times_nat C) B)) (or (= C tptp.zero_zero_nat) (= A B)))))
% 13.98/14.26 (assume a1485 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.times_times_int C) A) (@ (@ tptp.times_times_int C) B)) (or (= C tptp.zero_zero_int) (= A B)))))
% 13.98/14.26 (assume a1486 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (= (@ (@ tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat) (or (= A tptp.zero_z5237406670263579293d_enat) (= B tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1487 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.times_times_complex A) B) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 13.98/14.26 (assume a1488 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.times_times_real A) B) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1489 (forall ((A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.times_times_nat A) B) tptp.zero_zero_nat) (or (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1490 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.times_times_int A) B) tptp.zero_zero_int) (or (= A tptp.zero_zero_int) (= B tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1491 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat A) tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a1492 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1493 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real A) tptp.zero_zero_real) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1494 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1495 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1496 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.times_7803423173614009249d_enat tptp.zero_z5237406670263579293d_enat) A) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a1497 (forall ((A tptp.complex)) (= (@ (@ tptp.times_times_complex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1498 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real tptp.zero_zero_real) A) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1499 (forall ((A tptp.nat)) (= (@ (@ tptp.times_times_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1500 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1501 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.plus_p3455044024723400733d_enat tptp.zero_z5237406670263579293d_enat) A) A)))
% 13.98/14.26 (assume a1502 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 13.98/14.26 (assume a1503 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 13.98/14.26 (assume a1504 (forall ((A tptp.nat)) (= (@ (@ tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 13.98/14.26 (assume a1505 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 13.98/14.26 (assume a1506 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (= tptp.zero_z5237406670263579293d_enat (@ (@ tptp.plus_p3455044024723400733d_enat X) Y)) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1507 (forall ((X tptp.nat) (Y tptp.nat)) (= (= tptp.zero_zero_nat (@ (@ tptp.plus_plus_nat X) Y)) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1508 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (= (@ (@ tptp.plus_p3455044024723400733d_enat X) Y) tptp.zero_z5237406670263579293d_enat) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1509 (forall ((X tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1510 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (@ (@ tptp.plus_plus_complex A) B)) (= B tptp.zero_zero_complex))))
% 13.98/14.26 (assume a1511 (forall ((A tptp.real) (B tptp.real)) (= (= A (@ (@ tptp.plus_plus_real A) B)) (= B tptp.zero_zero_real))))
% 13.98/14.26 (assume a1512 (forall ((A tptp.nat) (B tptp.nat)) (= (= A (@ (@ tptp.plus_plus_nat A) B)) (= B tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1513 (forall ((A tptp.int) (B tptp.int)) (= (= A (@ (@ tptp.plus_plus_int A) B)) (= B tptp.zero_zero_int))))
% 13.98/14.26 (assume a1514 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (@ (@ tptp.plus_plus_complex B) A)) (= B tptp.zero_zero_complex))))
% 13.98/14.26 (assume a1515 (forall ((A tptp.real) (B tptp.real)) (= (= A (@ (@ tptp.plus_plus_real B) A)) (= B tptp.zero_zero_real))))
% 13.98/14.26 (assume a1516 (forall ((A tptp.nat) (B tptp.nat)) (= (= A (@ (@ tptp.plus_plus_nat B) A)) (= B tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1517 (forall ((A tptp.int) (B tptp.int)) (= (= A (@ (@ tptp.plus_plus_int B) A)) (= B tptp.zero_zero_int))))
% 13.98/14.26 (assume a1518 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex A) B) A) (= B tptp.zero_zero_complex))))
% 13.98/14.26 (assume a1519 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.plus_plus_real A) B) A) (= B tptp.zero_zero_real))))
% 13.98/14.26 (assume a1520 (forall ((A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat A) B) A) (= B tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1521 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.plus_plus_int A) B) A) (= B tptp.zero_zero_int))))
% 13.98/14.26 (assume a1522 (forall ((B tptp.complex) (A tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex B) A) A) (= B tptp.zero_zero_complex))))
% 13.98/14.26 (assume a1523 (forall ((B tptp.real) (A tptp.real)) (= (= (@ (@ tptp.plus_plus_real B) A) A) (= B tptp.zero_zero_real))))
% 13.98/14.26 (assume a1524 (forall ((B tptp.nat) (A tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat B) A) A) (= B tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1525 (forall ((B tptp.int) (A tptp.int)) (= (= (@ (@ tptp.plus_plus_int B) A) A) (= B tptp.zero_zero_int))))
% 13.98/14.26 (assume a1526 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (@ (@ tptp.plus_plus_real A) A)) (= A tptp.zero_zero_real))))
% 13.98/14.26 (assume a1527 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (@ (@ tptp.plus_plus_int A) A)) (= A tptp.zero_zero_int))))
% 13.98/14.26 (assume a1528 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.plus_p3455044024723400733d_enat A) tptp.zero_z5237406670263579293d_enat) A)))
% 13.98/14.26 (assume a1529 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 13.98/14.26 (assume a1530 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 13.98/14.26 (assume a1531 (forall ((A tptp.nat)) (= (@ (@ tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 13.98/14.26 (assume a1532 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 13.98/14.26 (assume a1533 (forall ((A tptp.nat)) (= (@ (@ tptp.divide_divide_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1534 (forall ((A tptp.real)) (= (@ (@ tptp.divide_divide_real A) tptp.zero_zero_real) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1535 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1536 (forall ((A tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1537 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger A) tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.26 (assume a1538 (forall ((A tptp.nat)) (= (@ (@ tptp.divide_divide_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1539 (forall ((A tptp.real)) (= (@ (@ tptp.divide_divide_real tptp.zero_zero_real) A) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1540 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1541 (forall ((A tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1542 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger tptp.zero_z3403309356797280102nteger) A) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.26 (assume a1543 (forall ((A tptp.nat)) (= (@ (@ tptp.divide_divide_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1544 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1545 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger A) tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.26 (assume a1546 (forall ((A tptp.nat)) (= (@ (@ tptp.divide_divide_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1547 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1548 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger tptp.zero_z3403309356797280102nteger) A) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.26 (assume a1549 (forall ((A tptp.real)) (= (@ (@ tptp.divide_divide_real A) tptp.zero_zero_real) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1550 (forall ((A tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1551 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (= (@ (@ tptp.divide_divide_real A) C) (@ (@ tptp.divide_divide_real B) C)) (or (= C tptp.zero_zero_real) (= A B)))))
% 13.98/14.26 (assume a1552 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex A) C) (@ (@ tptp.divide1717551699836669952omplex B) C)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 13.98/14.26 (assume a1553 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.divide_divide_real C) A) (@ (@ tptp.divide_divide_real C) B)) (or (= C tptp.zero_zero_real) (= A B)))))
% 13.98/14.26 (assume a1554 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex C) A) (@ (@ tptp.divide1717551699836669952omplex C) B)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 13.98/14.26 (assume a1555 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.divide_divide_real A) B) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1556 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex A) B) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 13.98/14.26 (assume a1557 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1558 (forall ((N2 tptp.nat)) (= (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.26 (assume a1559 (forall ((A tptp.nat)) (= (not (= A tptp.zero_zero_nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A))))
% 13.98/14.26 (assume a1560 (forall ((A tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A)))
% 13.98/14.26 (assume a1561 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) N2)))
% 13.98/14.26 (assume a1562 (forall ((M tptp.nat)) (= (@ (@ tptp.plus_plus_nat M) tptp.zero_zero_nat) M)))
% 13.98/14.26 (assume a1563 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat M) N2) tptp.zero_zero_nat) (and (= M tptp.zero_zero_nat) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1564 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat M) K) (@ (@ tptp.times_times_nat N2) K)) (or (= M N2) (= K tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1565 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat K) M) (@ (@ tptp.times_times_nat K) N2)) (or (= M N2) (= K tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1566 (forall ((M tptp.nat)) (= (@ (@ tptp.times_times_nat M) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1567 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat M) N2) tptp.zero_zero_nat) (or (= M tptp.zero_zero_nat) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1568 (forall ((M tptp.nat)) (= (@ (@ tptp.minus_minus_nat M) M) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1569 (forall ((N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat tptp.zero_zero_nat) N2) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1570 (forall ((A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.ord_max_nat A) B) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1571 (forall ((A tptp.nat)) (= (@ (@ tptp.ord_max_nat tptp.zero_zero_nat) A) A)))
% 13.98/14.26 (assume a1572 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.zero_zero_nat (@ (@ tptp.ord_max_nat A) B)) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1573 (forall ((A tptp.nat)) (= (@ (@ tptp.ord_max_nat A) tptp.zero_zero_nat) A)))
% 13.98/14.26 (assume a1574 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_max_nat tptp.zero_zero_nat) N2) N2)))
% 13.98/14.26 (assume a1575 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_max_nat N2) tptp.zero_zero_nat) N2)))
% 13.98/14.26 (assume a1576 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real A) A)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 13.98/14.26 (assume a1577 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int A) A)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))
% 13.98/14.26 (assume a1578 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1579 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) A)) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1580 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.plus_plus_real B) A)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B))))
% 13.98/14.26 (assume a1581 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat A) (@ (@ tptp.plus_plus_nat B) A)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B))))
% 13.98/14.26 (assume a1582 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.plus_plus_int B) A)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B))))
% 13.98/14.26 (assume a1583 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B))))
% 13.98/14.26 (assume a1584 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat A) (@ (@ tptp.plus_plus_nat A) B)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B))))
% 13.98/14.26 (assume a1585 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B))))
% 13.98/14.26 (assume a1586 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) B)) B) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1587 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) B)) B) (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1588 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) B)) B) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1589 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real B) A)) B) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1590 (forall ((B tptp.nat) (A tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat B) A)) B) (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1591 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int B) A)) B) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1592 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real A) A)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))
% 13.98/14.26 (assume a1593 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int A) A)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) A))))
% 13.98/14.26 (assume a1594 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1595 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) A)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1596 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.plus_plus_real B) A)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B))))
% 13.98/14.26 (assume a1597 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_nat A) (@ (@ tptp.plus_plus_nat B) A)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B))))
% 13.98/14.26 (assume a1598 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int A) (@ (@ tptp.plus_plus_int B) A)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) B))))
% 13.98/14.26 (assume a1599 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B))))
% 13.98/14.26 (assume a1600 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_nat A) (@ (@ tptp.plus_plus_nat A) B)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B))))
% 13.98/14.26 (assume a1601 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int A) (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) B))))
% 13.98/14.26 (assume a1602 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) B)) B) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1603 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) B)) B) (@ (@ tptp.ord_less_nat A) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1604 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) B)) B) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1605 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real B) A)) B) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1606 (forall ((B tptp.nat) (A tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat B) A)) B) (@ (@ tptp.ord_less_nat A) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1607 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int B) A)) B) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1608 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.minus_minus_real A) B)) (@ (@ tptp.ord_less_eq_real B) A))))
% 13.98/14.26 (assume a1609 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.minus_minus_int A) B)) (@ (@ tptp.ord_less_eq_int B) A))))
% 13.98/14.26 (assume a1610 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.minus_minus_real A) B)) (@ (@ tptp.ord_less_real B) A))))
% 13.98/14.26 (assume a1611 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.minus_minus_int A) B)) (@ (@ tptp.ord_less_int B) A))))
% 13.98/14.26 (assume a1612 (forall ((X tptp.real) (Y tptp.real)) (= (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y)) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1613 (forall ((X tptp.int) (Y tptp.int)) (= (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int X) X)) (@ (@ tptp.times_times_int Y) Y)) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1614 (forall ((A tptp.complex) (C tptp.complex)) (= (= (@ (@ tptp.times_times_complex A) C) C) (or (= C tptp.zero_zero_complex) (= A tptp.one_one_complex)))))
% 13.98/14.26 (assume a1615 (forall ((A tptp.real) (C tptp.real)) (= (= (@ (@ tptp.times_times_real A) C) C) (or (= C tptp.zero_zero_real) (= A tptp.one_one_real)))))
% 13.98/14.26 (assume a1616 (forall ((A tptp.int) (C tptp.int)) (= (= (@ (@ tptp.times_times_int A) C) C) (or (= C tptp.zero_zero_int) (= A tptp.one_one_int)))))
% 13.98/14.26 (assume a1617 (forall ((C tptp.complex) (B tptp.complex)) (= (= C (@ (@ tptp.times_times_complex B) C)) (or (= C tptp.zero_zero_complex) (= B tptp.one_one_complex)))))
% 13.98/14.26 (assume a1618 (forall ((C tptp.real) (B tptp.real)) (= (= C (@ (@ tptp.times_times_real B) C)) (or (= C tptp.zero_zero_real) (= B tptp.one_one_real)))))
% 13.98/14.26 (assume a1619 (forall ((C tptp.int) (B tptp.int)) (= (= C (@ (@ tptp.times_times_int B) C)) (or (= C tptp.zero_zero_int) (= B tptp.one_one_int)))))
% 13.98/14.26 (assume a1620 (forall ((C tptp.complex) (A tptp.complex)) (= (= (@ (@ tptp.times_times_complex C) A) C) (or (= C tptp.zero_zero_complex) (= A tptp.one_one_complex)))))
% 13.98/14.26 (assume a1621 (forall ((C tptp.real) (A tptp.real)) (= (= (@ (@ tptp.times_times_real C) A) C) (or (= C tptp.zero_zero_real) (= A tptp.one_one_real)))))
% 13.98/14.26 (assume a1622 (forall ((C tptp.int) (A tptp.int)) (= (= (@ (@ tptp.times_times_int C) A) C) (or (= C tptp.zero_zero_int) (= A tptp.one_one_int)))))
% 13.98/14.26 (assume a1623 (forall ((C tptp.complex) (B tptp.complex)) (= (= C (@ (@ tptp.times_times_complex C) B)) (or (= C tptp.zero_zero_complex) (= B tptp.one_one_complex)))))
% 13.98/14.26 (assume a1624 (forall ((C tptp.real) (B tptp.real)) (= (= C (@ (@ tptp.times_times_real C) B)) (or (= C tptp.zero_zero_real) (= B tptp.one_one_real)))))
% 13.98/14.26 (assume a1625 (forall ((C tptp.int) (B tptp.int)) (= (= C (@ (@ tptp.times_times_int C) B)) (or (= C tptp.zero_zero_int) (= B tptp.one_one_int)))))
% 13.98/14.26 (assume a1626 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) B)) B) A))))
% 13.98/14.26 (assume a1627 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real A) B)) B) A))))
% 13.98/14.26 (assume a1628 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) B)) B) A))))
% 13.98/14.26 (assume a1629 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A) B)) B) A))))
% 13.98/14.26 (assume a1630 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) B)) B) A))))
% 13.98/14.26 (assume a1631 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) B)) A) B))))
% 13.98/14.26 (assume a1632 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real A) B)) A) B))))
% 13.98/14.26 (assume a1633 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) B)) A) B))))
% 13.98/14.26 (assume a1634 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A) B)) A) B))))
% 13.98/14.26 (assume a1635 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) B)) A) B))))
% 13.98/14.26 (assume a1636 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (and (=> (= C tptp.zero_zero_nat) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B)) tptp.zero_zero_nat)) (=> (not (= C tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B)) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.26 (assume a1637 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (and (=> (= C tptp.zero_zero_int) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) tptp.zero_zero_int)) (=> (not (= C tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.26 (assume a1638 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (and (=> (= C tptp.zero_z3403309356797280102nteger) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger C) A)) (@ (@ tptp.times_3573771949741848930nteger C) B)) tptp.zero_z3403309356797280102nteger)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger C) A)) (@ (@ tptp.times_3573771949741848930nteger C) B)) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.26 (assume a1639 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.divide_divide_nat A) B)))))
% 13.98/14.26 (assume a1640 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.divide_divide_int A) B)))))
% 13.98/14.26 (assume a1641 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) C)) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger A) B)))))
% 13.98/14.26 (assume a1642 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B)) (@ (@ tptp.divide_divide_nat A) B)))))
% 13.98/14.26 (assume a1643 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.divide_divide_int A) B)))))
% 13.98/14.26 (assume a1644 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger C) A)) (@ (@ tptp.times_3573771949741848930nteger C) B)) (@ (@ tptp.divide6298287555418463151nteger A) B)))))
% 13.98/14.26 (assume a1645 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.divide_divide_real A) B)))))
% 13.98/14.26 (assume a1646 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex C) B)) (@ (@ tptp.divide1717551699836669952omplex A) B)))))
% 13.98/14.26 (assume a1647 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (@ (@ tptp.divide_divide_real A) B)))))
% 13.98/14.26 (assume a1648 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) C)) (@ (@ tptp.divide1717551699836669952omplex A) B)))))
% 13.98/14.26 (assume a1649 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real B) C)) (@ (@ tptp.divide_divide_real A) B)))))
% 13.98/14.26 (assume a1650 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex C) A)) (@ (@ tptp.times_times_complex B) C)) (@ (@ tptp.divide1717551699836669952omplex A) B)))))
% 13.98/14.26 (assume a1651 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.divide_divide_real A) B)))))
% 13.98/14.26 (assume a1652 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex C) A)) (@ (@ tptp.times_times_complex C) B)) (@ (@ tptp.divide1717551699836669952omplex A) B)))))
% 13.98/14.26 (assume a1653 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= C tptp.zero_zero_real) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) tptp.zero_zero_real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.divide_divide_real A) B))))))
% 13.98/14.26 (assume a1654 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= C tptp.zero_zero_complex) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex C) A)) (@ (@ tptp.times_times_complex C) B)) tptp.zero_zero_complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex C) A)) (@ (@ tptp.times_times_complex C) B)) (@ (@ tptp.divide1717551699836669952omplex A) B))))))
% 13.98/14.26 (assume a1655 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat A) (@ (@ tptp.plus_plus_nat A) B)) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1656 (= (@ (@ tptp.minus_minus_complex tptp.one_one_complex) tptp.one_one_complex) tptp.zero_zero_complex))
% 13.98/14.26 (assume a1657 (= (@ (@ tptp.minus_minus_real tptp.one_one_real) tptp.one_one_real) tptp.zero_zero_real))
% 13.98/14.26 (assume a1658 (= (@ (@ tptp.minus_minus_int tptp.one_one_int) tptp.one_one_int) tptp.zero_zero_int))
% 13.98/14.26 (assume a1659 (forall ((A tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat A) A) tptp.one_one_nat))))
% 13.98/14.26 (assume a1660 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real A) A) tptp.one_one_real))))
% 13.98/14.26 (assume a1661 (forall ((A tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int A) A) tptp.one_one_int))))
% 13.98/14.26 (assume a1662 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 13.98/14.26 (assume a1663 (forall ((A tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.divide6298287555418463151nteger A) A) tptp.one_one_Code_integer))))
% 13.98/14.26 (assume a1664 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (@ (@ tptp.divide_divide_real tptp.one_one_real) A)) (= A tptp.zero_zero_real))))
% 13.98/14.26 (assume a1665 (forall ((A tptp.real)) (= (= (@ (@ tptp.divide_divide_real tptp.one_one_real) A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 13.98/14.26 (assume a1666 (forall ((B tptp.real) (A tptp.real)) (= (= tptp.one_one_real (@ (@ tptp.divide_divide_real B) A)) (and (not (= A tptp.zero_zero_real)) (= A B)))))
% 13.98/14.26 (assume a1667 (forall ((B tptp.real) (A tptp.real)) (= (= (@ (@ tptp.divide_divide_real B) A) tptp.one_one_real) (and (not (= A tptp.zero_zero_real)) (= A B)))))
% 13.98/14.26 (assume a1668 (forall ((A tptp.real)) (and (=> (= A tptp.zero_zero_real) (= (@ (@ tptp.divide_divide_real A) A) tptp.zero_zero_real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real A) A) tptp.one_one_real)))))
% 13.98/14.26 (assume a1669 (forall ((A tptp.complex)) (and (=> (= A tptp.zero_zero_complex) (= (@ (@ tptp.divide1717551699836669952omplex A) A) tptp.zero_zero_complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex)))))
% 13.98/14.26 (assume a1670 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real A) A) tptp.one_one_real))))
% 13.98/14.26 (assume a1671 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 13.98/14.26 (assume a1672 (forall ((A tptp.real) (B tptp.real)) (= (= tptp.one_one_real (@ (@ tptp.divide_divide_real A) B)) (and (not (= B tptp.zero_zero_real)) (= A B)))))
% 13.98/14.26 (assume a1673 (forall ((A tptp.complex) (B tptp.complex)) (= (= tptp.one_one_complex (@ (@ tptp.divide1717551699836669952omplex A) B)) (and (not (= B tptp.zero_zero_complex)) (= A B)))))
% 13.98/14.26 (assume a1674 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.divide_divide_real A) B) tptp.one_one_real) (and (not (= B tptp.zero_zero_real)) (= A B)))))
% 13.98/14.26 (assume a1675 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex A) B) tptp.one_one_complex) (and (not (= B tptp.zero_zero_complex)) (= A B)))))
% 13.98/14.26 (assume a1676 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.suc N2)) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a1677 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_nat tptp.zero_zero_nat) (@ tptp.suc N2)) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1678 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_real tptp.zero_zero_real) (@ tptp.suc N2)) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1679 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_int tptp.zero_zero_int) (@ tptp.suc N2)) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1680 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_complex tptp.zero_zero_complex) (@ tptp.suc N2)) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1681 (forall ((K tptp.num)) (= (@ (@ tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.numeral_numeral_nat K)) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a1682 (forall ((K tptp.num)) (= (@ (@ tptp.power_power_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat K)) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1683 (forall ((K tptp.num)) (= (@ (@ tptp.power_power_real tptp.zero_zero_real) (@ tptp.numeral_numeral_nat K)) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1684 (forall ((K tptp.num)) (= (@ (@ tptp.power_power_int tptp.zero_zero_int) (@ tptp.numeral_numeral_nat K)) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1685 (forall ((K tptp.num)) (= (@ (@ tptp.power_power_complex tptp.zero_zero_complex) (@ tptp.numeral_numeral_nat K)) tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1686 (forall ((A tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ tptp.suc tptp.zero_zero_nat)) A)))
% 13.98/14.26 (assume a1687 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real A) (@ tptp.suc tptp.zero_zero_nat)) A)))
% 13.98/14.26 (assume a1688 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int A) (@ tptp.suc tptp.zero_zero_nat)) A)))
% 13.98/14.26 (assume a1689 (forall ((A tptp.complex)) (= (@ (@ tptp.power_power_complex A) (@ tptp.suc tptp.zero_zero_nat)) A)))
% 13.98/14.26 (assume a1690 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1691 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.suc N2))))
% 13.98/14.26 (assume a1692 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_Code_integer (@ tptp.numera6620942414471956472nteger X)) tptp.zero_z3403309356797280102nteger) (@ tptp.numera6620942414471956472nteger X))))
% 13.98/14.26 (assume a1693 (forall ((X tptp.num)) (= (@ (@ tptp.ord_ma741700101516333627d_enat (@ tptp.numera1916890842035813515d_enat X)) tptp.zero_z5237406670263579293d_enat) (@ tptp.numera1916890842035813515d_enat X))))
% 13.98/14.26 (assume a1694 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_real (@ tptp.numeral_numeral_real X)) tptp.zero_zero_real) (@ tptp.numeral_numeral_real X))))
% 13.98/14.26 (assume a1695 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_nat (@ tptp.numeral_numeral_nat X)) tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat X))))
% 13.98/14.26 (assume a1696 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_int (@ tptp.numeral_numeral_int X)) tptp.zero_zero_int) (@ tptp.numeral_numeral_int X))))
% 13.98/14.26 (assume a1697 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger) (@ tptp.numera6620942414471956472nteger X)) (@ tptp.numera6620942414471956472nteger X))))
% 13.98/14.26 (assume a1698 (forall ((X tptp.num)) (= (@ (@ tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.numera1916890842035813515d_enat X)) (@ tptp.numera1916890842035813515d_enat X))))
% 13.98/14.26 (assume a1699 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_real tptp.zero_zero_real) (@ tptp.numeral_numeral_real X)) (@ tptp.numeral_numeral_real X))))
% 13.98/14.26 (assume a1700 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat X))))
% 13.98/14.26 (assume a1701 (forall ((X tptp.num)) (= (@ (@ tptp.ord_max_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int X))))
% 13.98/14.26 (assume a1702 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.suc tptp.zero_zero_nat) (@ (@ tptp.times_times_nat M) N2)) (and (= M (@ tptp.suc tptp.zero_zero_nat)) (= N2 (@ tptp.suc tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a1703 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat M) N2) (@ tptp.suc tptp.zero_zero_nat)) (and (= M (@ tptp.suc tptp.zero_zero_nat)) (= N2 (@ tptp.suc tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a1704 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat M) N2)) (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a1705 (= (@ (@ tptp.ord_max_real tptp.zero_zero_real) tptp.one_one_real) tptp.one_one_real))
% 13.98/14.26 (assume a1706 (= (@ (@ tptp.ord_max_nat tptp.zero_zero_nat) tptp.one_one_nat) tptp.one_one_nat))
% 13.98/14.26 (assume a1707 (= (@ (@ tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.26 (assume a1708 (= (@ (@ tptp.ord_max_int tptp.zero_zero_int) tptp.one_one_int) tptp.one_one_int))
% 13.98/14.26 (assume a1709 (= (@ (@ tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger) tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 13.98/14.26 (assume a1710 (= (@ (@ tptp.ord_max_real tptp.one_one_real) tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.26 (assume a1711 (= (@ (@ tptp.ord_max_nat tptp.one_one_nat) tptp.zero_zero_nat) tptp.one_one_nat))
% 13.98/14.26 (assume a1712 (= (@ (@ tptp.ord_ma741700101516333627d_enat tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.26 (assume a1713 (= (@ (@ tptp.ord_max_int tptp.one_one_int) tptp.zero_zero_int) tptp.one_one_int))
% 13.98/14.26 (assume a1714 (= (@ (@ tptp.ord_max_Code_integer tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger) tptp.one_one_Code_integer))
% 13.98/14.26 (assume a1715 (forall ((M tptp.nat)) (= (@ (@ tptp.divide_divide_nat M) (@ tptp.suc tptp.zero_zero_nat)) M)))
% 13.98/14.26 (assume a1716 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.26 (assume a1717 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.times_times_nat M) N2)) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a1718 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat M) K)) (@ (@ tptp.times_times_nat N2) K)) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.26 (assume a1719 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1720 (forall ((X tptp.nat) (M tptp.nat)) (= (= (@ (@ tptp.power_power_nat X) M) (@ tptp.suc tptp.zero_zero_nat)) (or (= M tptp.zero_zero_nat) (= X (@ tptp.suc tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a1721 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N2) M)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.26 (assume a1722 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (= (@ (@ tptp.divide_divide_nat M) N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1723 (forall ((X tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.power_power_nat X) N2)) (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1724 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.minus_minus_nat M) N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1725 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.minus_minus_nat M) N2) tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.26 (assume a1726 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat N2) tptp.one_one_nat) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1727 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (and (=> (= K tptp.zero_zero_nat) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) tptp.zero_zero_nat)) (=> (not (= K tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (@ (@ tptp.divide_divide_nat M) N2))))))
% 13.98/14.26 (assume a1728 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real tptp.one_one_real) A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1729 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real tptp.one_one_real) A)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 13.98/14.26 (assume a1730 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= A (@ (@ tptp.divide_divide_real B) (@ tptp.numeral_numeral_real W))) (and (=> (not (= (@ tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W)) B)) (=> (= (@ tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.26 (assume a1731 (forall ((A tptp.complex) (B tptp.complex) (W tptp.num)) (= (= A (@ (@ tptp.divide1717551699836669952omplex B) (@ tptp.numera6690914467698888265omplex W))) (and (=> (not (= (@ tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex A) (@ tptp.numera6690914467698888265omplex W)) B)) (=> (= (@ tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a1732 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (= (@ (@ tptp.divide_divide_real B) (@ tptp.numeral_numeral_real W)) A) (and (=> (not (= (@ tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= B (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W)))) (=> (= (@ tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.26 (assume a1733 (forall ((B tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex B) (@ tptp.numera6690914467698888265omplex W)) A) (and (=> (not (= (@ tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= B (@ (@ tptp.times_times_complex A) (@ tptp.numera6690914467698888265omplex W)))) (=> (= (@ tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a1734 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real tptp.one_one_real) A)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))
% 13.98/14.26 (assume a1735 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.divide_divide_real B) A)) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a1736 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.divide_divide_real B) A)) (@ (@ tptp.ord_less_real B) A)))))
% 13.98/14.26 (assume a1737 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) A)) tptp.one_one_real) (@ (@ tptp.ord_less_real B) A)))))
% 13.98/14.26 (assume a1738 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) A)) tptp.one_one_real) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a1739 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real tptp.one_one_real) A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1740 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) C)) A)) B) (@ (@ tptp.plus_plus_nat C) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.26 (assume a1741 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) C)) A)) B) (@ (@ tptp.plus_plus_int C) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.26 (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.times_3573771949741848930nteger B) C)) A)) B) (@ (@ tptp.plus_p5714425477246183910nteger C) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.26 (assume a1743 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat C) B)) A)) B) (@ (@ tptp.plus_plus_nat C) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.26 (assume a1744 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int C) B)) A)) B) (@ (@ tptp.plus_plus_int C) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.26 (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.times_3573771949741848930nteger C) B)) A)) B) (@ (@ tptp.plus_p5714425477246183910nteger C) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.26 (assume a1746 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat B) C))) B) (@ (@ tptp.plus_plus_nat C) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.26 (assume a1747 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int B) C))) B) (@ (@ tptp.plus_plus_int C) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.26 (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.times_3573771949741848930nteger B) C))) B) (@ (@ tptp.plus_p5714425477246183910nteger C) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.26 (assume a1749 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat C) B))) B) (@ (@ tptp.plus_plus_nat C) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.26 (assume a1750 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int C) B))) B) (@ (@ tptp.plus_plus_int C) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.26 (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.times_3573771949741848930nteger C) B))) B) (@ (@ tptp.plus_p5714425477246183910nteger C) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.26 (assume a1752 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real B) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.divide_divide_real tptp.one_one_real) A)))))
% 13.98/14.26 (assume a1753 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex B) (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) A)))))
% 13.98/14.26 (assume a1754 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real A) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.divide_divide_real tptp.one_one_real) B)))))
% 13.98/14.26 (assume a1755 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex A) (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) B)))))
% 13.98/14.26 (assume a1756 (forall ((A tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.power_power_nat A) N2) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a1757 (forall ((A tptp.real) (N2 tptp.nat)) (= (= (@ (@ tptp.power_power_real A) N2) tptp.zero_zero_real) (and (= A tptp.zero_zero_real) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a1758 (forall ((A tptp.int) (N2 tptp.nat)) (= (= (@ (@ tptp.power_power_int A) N2) tptp.zero_zero_int) (and (= A tptp.zero_zero_int) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a1759 (forall ((A tptp.complex) (N2 tptp.nat)) (= (= (@ (@ tptp.power_power_complex A) N2) tptp.zero_zero_complex) (and (= A tptp.zero_zero_complex) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a1760 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.suc (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))) N2))))
% 13.98/14.26 (assume a1761 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.times_times_nat M) N2)) (and (@ (@ tptp.ord_less_eq_nat (@ tptp.suc tptp.zero_zero_nat)) M) (@ (@ tptp.ord_less_eq_nat (@ tptp.suc tptp.zero_zero_nat)) N2)))))
% 13.98/14.26 (assume a1762 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.26 (assume a1763 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat M) K)) (@ (@ tptp.times_times_nat N2) K)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.26 (assume a1764 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat N2) M)) N2) M))))
% 13.98/14.26 (assume a1765 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat M) N2)) N2) M))))
% 13.98/14.26 (assume a1766 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.divide_divide_real B) A)) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.26 (assume a1767 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.divide_divide_real B) A)) (@ (@ tptp.ord_less_eq_real B) A)))))
% 13.98/14.26 (assume a1768 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) A)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real B) A)))))
% 13.98/14.26 (assume a1769 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) A)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.26 (assume a1770 (forall ((B tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_real B) tptp.one_one_real) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real B) M)) (@ (@ tptp.power_power_real B) N2)) (@ (@ tptp.ord_less_nat N2) M))))))
% 13.98/14.26 (assume a1771 (forall ((B tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_nat B) tptp.one_one_nat) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) M)) (@ (@ tptp.power_power_nat B) N2)) (@ (@ tptp.ord_less_nat N2) M))))))
% 13.98/14.26 (assume a1772 (forall ((B tptp.int) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_int B) tptp.one_one_int) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int B) M)) (@ (@ tptp.power_power_int B) N2)) (@ (@ tptp.ord_less_nat N2) M))))))
% 13.98/14.26 (assume a1773 (forall ((A tptp.nat)) (= (= (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat) (= A tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1774 (forall ((A tptp.real)) (= (= (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 13.98/14.26 (assume a1775 (forall ((A tptp.int)) (= (= (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 13.98/14.26 (assume a1776 (forall ((A tptp.complex)) (= (= (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 13.98/14.26 (assume a1777 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2)) (@ (@ tptp.ord_less_eq_real A) B)))))))
% 13.98/14.26 (assume a1778 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2)) (@ (@ tptp.ord_less_eq_nat A) B)))))))
% 13.98/14.26 (assume a1779 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2)) (@ (@ tptp.ord_less_eq_int A) B)))))))
% 13.98/14.26 (assume a1780 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.suc (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) N2))))
% 13.98/14.26 (assume a1781 (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 13.98/14.26 (assume a1782 (= (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 13.98/14.26 (assume a1783 (= (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 13.98/14.26 (assume a1784 (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 13.98/14.26 (assume a1785 (= (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 13.98/14.26 (assume a1786 (= (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 13.98/14.26 (assume a1787 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (= (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (= X Y))))))
% 13.98/14.26 (assume a1788 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) X) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) Y) (= (= (@ (@ tptp.power_power_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_nat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (= X Y))))))
% 13.98/14.26 (assume a1789 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (= (= (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (= X Y))))))
% 13.98/14.26 (assume a1790 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 13.98/14.26 (assume a1791 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 13.98/14.26 (assume a1792 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (not (= A tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1793 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (not (= A tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1794 (forall ((B tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_real B) tptp.one_one_real) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real B) M)) (@ (@ tptp.power_power_real B) N2)) (@ (@ tptp.ord_less_eq_nat N2) M))))))
% 13.98/14.26 (assume a1795 (forall ((B tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_nat B) tptp.one_one_nat) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) M)) (@ (@ tptp.power_power_nat B) N2)) (@ (@ tptp.ord_less_eq_nat N2) M))))))
% 13.98/14.26 (assume a1796 (forall ((B tptp.int) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_int B) tptp.one_one_int) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int B) M)) (@ (@ tptp.power_power_int B) N2)) (@ (@ tptp.ord_less_eq_nat N2) M))))))
% 13.98/14.26 (assume a1797 (forall ((X tptp.real) (Y tptp.real)) (= (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1798 (forall ((X tptp.int) (Y tptp.int)) (= (= (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1799 (forall ((A Bool) (B Bool) (X tptp.nat)) (= (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.vEBT_Leaf A) B)) X) (and (=> (= X tptp.zero_zero_nat) A) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) B) (= X tptp.one_one_nat)))))))
% 13.98/14.26 (assume a1800 (forall ((Uu Bool) (Uv Bool) (Uw tptp.nat)) (not (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.vEBT_Leaf Uu) Uv)) Uw))))
% 13.98/14.26 (assume a1801 (forall ((A Bool) (B Bool)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.vEBT_Leaf A) B)) tptp.zero_zero_nat) (@ (@ tptp.vEBT_Leaf false) B))))
% 13.98/14.26 (assume a1802 (forall ((X21 Bool) (X222 Bool)) (= (@ tptp.size_size_VEBT_VEBT (@ (@ tptp.vEBT_Leaf X21) X222)) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1803 (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (Ux tptp.nat)) (not (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ (@ (@ tptp.vEBT_Node Uu) tptp.zero_zero_nat) Uv) Uw)) Ux))))
% 13.98/14.26 (assume a1804 (forall ((Uu Bool)) (not (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_Leaf Uu) true)))))
% 13.98/14.26 (assume a1805 (forall ((Uv Bool)) (not (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_Leaf true) Uv)))))
% 13.98/14.26 (assume a1806 (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_Leaf false) false)))
% 13.98/14.26 (assume a1807 (forall ((A Bool) (B Bool)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.vEBT_Leaf A) false))))
% 13.98/14.26 (assume a1808 (forall ((A Bool) (B Bool) (X tptp.nat)) (= (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.vEBT_Leaf A) B)) X) (and (=> (= X tptp.zero_zero_nat) A) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) B) (= X tptp.one_one_nat)))))))
% 13.98/14.26 (assume a1809 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 Bool) (B3 Bool) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) X5)))) (=> (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) (TreeList3 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) X5)))))))))
% 13.98/14.26 (assume a1810 (forall ((A Bool) (B Bool)) (@ (@ tptp.vEBT_invar_vebt (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1811 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) N2) tptp.one_on7984719198319812577d_enat)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) N2) tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1812 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.power_power_nat tptp.zero_zero_nat) N2) tptp.one_one_nat)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.power_power_nat tptp.zero_zero_nat) N2) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1813 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.power_power_real tptp.zero_zero_real) N2) tptp.one_one_real)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.power_power_real tptp.zero_zero_real) N2) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1814 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.power_power_int tptp.zero_zero_int) N2) tptp.one_one_int)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.power_power_int tptp.zero_zero_int) N2) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1815 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N2) tptp.one_one_complex)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N2) tptp.zero_zero_complex)))))
% 13.98/14.26 (assume a1816 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) N2) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a1817 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_power_nat tptp.zero_zero_nat) N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1818 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_power_real tptp.zero_zero_real) N2) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1819 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_power_int tptp.zero_zero_int) N2) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1820 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N2) tptp.zero_zero_complex))))
% 13.98/14.26 (assume a1821 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT) (X21 Bool) (X222 Bool)) (not (= (@ (@ (@ (@ tptp.vEBT_Node X11) X12) X13) X14) (@ (@ tptp.vEBT_Leaf X21) X222)))))
% 13.98/14.26 (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 Bool) (X223 Bool)) (not (= Y (@ (@ tptp.vEBT_Leaf X212) X223))))))))
% 13.98/14.26 (assume a1823 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 Bool) (Uv2 Bool) (D3 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf Uu2) Uv2)) D3)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (Deg3 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) Deg3))))))))
% 13.98/14.26 (assume a1824 (forall ((X tptp.nat) (A Bool) (B Bool)) (and (=> (= X tptp.zero_zero_nat) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.vEBT_Leaf A) B)) X) (@ (@ tptp.vEBT_Leaf true) 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) true))) (=> (not (= X tptp.one_one_nat)) (= (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.vEBT_Leaf A) B)) X) (@ (@ tptp.vEBT_Leaf A) B))))))))
% 13.98/14.26 (assume a1825 (forall ((Uu Bool) (Uv Bool)) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.vEBT_Leaf Uu) Uv)) tptp.zero_zero_nat) tptp.none_nat)))
% 13.98/14.26 (assume a1826 (forall ((X tptp.extended_enat)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) X)))
% 13.98/14.26 (assume a1827 (forall ((X tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) X)))
% 13.98/14.26 (assume a1828 (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat))
% 13.98/14.26 (assume a1829 (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real))
% 13.98/14.26 (assume a1830 (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 13.98/14.26 (assume a1831 (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) tptp.zero_zero_int))
% 13.98/14.26 (assume a1832 (forall ((N2 tptp.extended_enat)) (= (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N2) (not (= N2 tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1833 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (not (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1834 (forall ((M tptp.extended_enat) (N2 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat M) N2) (not (= N2 tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1835 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (not (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1836 (forall ((N2 tptp.extended_enat)) (not (@ (@ tptp.ord_le72135733267957522d_enat N2) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a1837 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1838 (forall ((N2 tptp.extended_enat)) (=> (not (= N2 tptp.zero_z5237406670263579293d_enat)) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N2))))
% 13.98/14.26 (assume a1839 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.26 (assume a1840 (forall ((D1 tptp.real) (D22 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) D1) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) D22) (exists ((E2 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) E2) (@ (@ tptp.ord_less_real E2) D1) (@ (@ tptp.ord_less_real E2) D22)))))))
% 13.98/14.26 (assume a1841 (not (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a1842 (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) tptp.zero_zero_real)))
% 13.98/14.26 (assume a1843 (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1844 (not (@ (@ tptp.ord_less_int tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.26 (assume a1845 (forall ((N2 tptp.num)) (not (= tptp.zero_z5237406670263579293d_enat (@ tptp.numera1916890842035813515d_enat N2)))))
% 13.98/14.26 (assume a1846 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_complex (@ tptp.numera6690914467698888265omplex N2)))))
% 13.98/14.26 (assume a1847 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_real (@ tptp.numeral_numeral_real N2)))))
% 13.98/14.26 (assume a1848 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_nat (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.26 (assume a1849 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_int (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.26 (assume a1850 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (@ (@ tptp.times_times_complex A) C) (@ (@ tptp.times_times_complex B) C)) (= A B)))))
% 13.98/14.26 (assume a1851 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (@ (@ tptp.times_times_real A) C) (@ (@ tptp.times_times_real B) C)) (= A B)))))
% 13.98/14.26 (assume a1852 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (= (@ (@ tptp.times_times_nat A) C) (@ (@ tptp.times_times_nat B) C)) (= A B)))))
% 13.98/14.26 (assume a1853 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (= (@ (@ tptp.times_times_int A) C) (@ (@ tptp.times_times_int B) C)) (= A B)))))
% 13.98/14.26 (assume a1854 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (@ (@ tptp.times_times_complex C) A) (@ (@ tptp.times_times_complex C) B)) (= A B)))))
% 13.98/14.26 (assume a1855 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (@ (@ tptp.times_times_real C) A) (@ (@ tptp.times_times_real C) B)) (= A B)))))
% 13.98/14.26 (assume a1856 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (= (@ (@ tptp.times_times_nat C) A) (@ (@ tptp.times_times_nat C) B)) (= A B)))))
% 13.98/14.26 (assume a1857 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (= (@ (@ tptp.times_times_int C) A) (@ (@ tptp.times_times_int C) B)) (= A B)))))
% 13.98/14.26 (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.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat))))))
% 13.98/14.26 (assume a1859 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (not (= (@ (@ tptp.times_times_complex A) B) tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a1860 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (not (= (@ (@ tptp.times_times_real A) B) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a1861 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (not (= B tptp.zero_zero_nat)) (not (= (@ (@ tptp.times_times_nat A) B) tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a1862 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (not (= B tptp.zero_zero_int)) (not (= (@ (@ tptp.times_times_int A) B) tptp.zero_zero_int))))))
% 13.98/14.26 (assume a1863 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (= (@ (@ tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat) (or (= A tptp.zero_z5237406670263579293d_enat) (= B tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a1864 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (@ (@ tptp.times_times_complex A) B) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 13.98/14.26 (assume a1865 (forall ((A tptp.real) (B tptp.real)) (=> (= (@ (@ tptp.times_times_real A) B) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1866 (forall ((A tptp.nat) (B tptp.nat)) (=> (= (@ (@ tptp.times_times_nat A) B) tptp.zero_zero_nat) (or (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1867 (forall ((A tptp.int) (B tptp.int)) (=> (= (@ (@ tptp.times_times_int A) B) tptp.zero_zero_int) (or (= A tptp.zero_zero_int) (= B tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1868 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (not (= (@ (@ tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat)) (and (not (= A tptp.zero_z5237406670263579293d_enat)) (not (= B tptp.zero_z5237406670263579293d_enat))))))
% 13.98/14.26 (assume a1869 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= (@ (@ tptp.times_times_complex A) B) tptp.zero_zero_complex)) (and (not (= A tptp.zero_zero_complex)) (not (= B tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a1870 (forall ((A tptp.real) (B tptp.real)) (=> (not (= (@ (@ tptp.times_times_real A) B) tptp.zero_zero_real)) (and (not (= A tptp.zero_zero_real)) (not (= B tptp.zero_zero_real))))))
% 13.98/14.26 (assume a1871 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= (@ (@ tptp.times_times_nat A) B) tptp.zero_zero_nat)) (and (not (= A tptp.zero_zero_nat)) (not (= B tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a1872 (forall ((A tptp.int) (B tptp.int)) (=> (not (= (@ (@ tptp.times_times_int A) B) tptp.zero_zero_int)) (and (not (= A tptp.zero_zero_int)) (not (= B tptp.zero_zero_int))))))
% 13.98/14.26 (assume a1873 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 13.98/14.26 (assume a1874 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 13.98/14.26 (assume a1875 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 13.98/14.26 (assume a1876 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.plus_p3455044024723400733d_enat A) tptp.zero_z5237406670263579293d_enat) A)))
% 13.98/14.26 (assume a1877 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 13.98/14.26 (assume a1878 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 13.98/14.26 (assume a1879 (forall ((A tptp.nat)) (= (@ (@ tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 13.98/14.26 (assume a1880 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 13.98/14.26 (assume a1881 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.plus_p3455044024723400733d_enat tptp.zero_z5237406670263579293d_enat) A) A)))
% 13.98/14.26 (assume a1882 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 13.98/14.26 (assume a1883 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 13.98/14.26 (assume a1884 (forall ((A tptp.nat)) (= (@ (@ tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 13.98/14.26 (assume a1885 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 13.98/14.26 (assume a1886 (not (= tptp.zero_z5237406670263579293d_enat tptp.one_on7984719198319812577d_enat)))
% 13.98/14.26 (assume a1887 (not (= tptp.zero_zero_complex tptp.one_one_complex)))
% 13.98/14.26 (assume a1888 (not (= tptp.zero_zero_real tptp.one_one_real)))
% 13.98/14.26 (assume a1889 (not (= tptp.zero_zero_nat tptp.one_one_nat)))
% 13.98/14.26 (assume a1890 (not (= tptp.zero_zero_int tptp.one_one_int)))
% 13.98/14.26 (assume a1891 (forall ((Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT) (Uz tptp.nat)) (not (@ (@ tptp.vEBT_VEBT_membermima (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) tptp.zero_zero_nat) Ux) Uy)) Uz))))
% 13.98/14.26 (assume a1892 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (not (= (@ (@ tptp.power_power_nat A) N2) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1893 (forall ((A tptp.real) (N2 tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (not (= (@ (@ tptp.power_power_real A) N2) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1894 (forall ((A tptp.int) (N2 tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (not (= (@ (@ tptp.power_power_int A) N2) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1895 (forall ((A tptp.complex) (N2 tptp.nat)) (=> (not (= A tptp.zero_zero_complex)) (not (= (@ (@ tptp.power_power_complex A) N2) tptp.zero_zero_complex)))))
% 13.98/14.26 (assume a1896 (= (@ tptp.size_size_num tptp.one) tptp.zero_zero_nat))
% 13.98/14.26 (assume a1897 (forall ((X22 tptp.nat)) (not (= tptp.zero_zero_nat (@ tptp.suc X22)))))
% 13.98/14.26 (assume a1898 (forall ((Nat2 tptp.nat)) (not (= (@ tptp.suc Nat2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1899 (forall ((Nat2 tptp.nat)) (not (= tptp.zero_zero_nat (@ tptp.suc Nat2)))))
% 13.98/14.26 (assume a1900 (forall ((Nat tptp.nat) (X22 tptp.nat)) (=> (= Nat (@ tptp.suc X22)) (not (= Nat tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1901 (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat3 tptp.nat)) (not (= Y (@ tptp.suc Nat3))))))))
% 13.98/14.26 (assume a1902 (forall ((X tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (=> (not (= X (@ tptp.suc tptp.zero_zero_nat))) (not (forall ((Va2 tptp.nat)) (not (= X (@ tptp.suc (@ tptp.suc Va2))))))))))
% 13.98/14.26 (assume a1903 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (@ P tptp.zero_zero_nat) (=> (forall ((N4 tptp.nat)) (=> (@ P N4) (@ P (@ tptp.suc N4)))) (@ P N2)))))
% 13.98/14.26 (assume a1904 (forall ((P (-> tptp.nat tptp.nat Bool)) (M tptp.nat) (N2 tptp.nat)) (=> (forall ((X5 tptp.nat)) (@ (@ P X5) tptp.zero_zero_nat)) (=> (forall ((Y5 tptp.nat)) (@ (@ P tptp.zero_zero_nat) (@ tptp.suc Y5))) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ P X5) Y5) (@ (@ P (@ tptp.suc X5)) (@ tptp.suc Y5)))) (@ (@ P M) N2))))))
% 13.98/14.26 (assume a1905 (forall ((P (-> tptp.nat Bool)) (K tptp.nat)) (=> (@ P K) (=> (forall ((N4 tptp.nat)) (=> (@ P (@ tptp.suc N4)) (@ P N4))) (@ P tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1906 (forall ((M tptp.nat)) (not (= (@ tptp.suc M) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1907 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (@ tptp.suc M)))))
% 13.98/14.26 (assume a1908 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (@ tptp.suc M)))))
% 13.98/14.26 (assume a1909 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.zero_zero_nat)) (exists ((M5 tptp.nat)) (= N2 (@ tptp.suc M5))))))
% 13.98/14.26 (assume a1910 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (@ P tptp.zero_zero_nat) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (=> (not (@ P N4)) (exists ((M2 tptp.nat)) (and (@ (@ tptp.ord_less_nat M2) N4) (not (@ P M2))))))) (@ P N2)))))
% 13.98/14.26 (assume a1911 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (not (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1912 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1913 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat N2) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1914 (forall ((N2 tptp.nat)) (= (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1915 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.26 (assume a1916 (forall ((A tptp.nat)) (not (@ (@ tptp.ord_less_nat A) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1917 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) N2)))
% 13.98/14.26 (assume a1918 (forall ((A tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (= A tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1919 (forall ((A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (= A tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1920 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat N2) tptp.zero_zero_nat) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1921 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.plus_plus_nat M) N2) M) (= N2 tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1922 (forall ((N2 tptp.nat)) (= (@ (@ tptp.plus_plus_nat tptp.zero_zero_nat) N2) N2)))
% 13.98/14.26 (assume a1923 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.times_times_nat K) M) (@ (@ tptp.times_times_nat K) N2)) (or (= K tptp.zero_zero_nat) (= M N2)))))
% 13.98/14.26 (assume a1924 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_nat tptp.zero_zero_nat) N2) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1925 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.minus_minus_nat M) N2) tptp.zero_zero_nat) (=> (= (@ (@ tptp.minus_minus_nat N2) M) tptp.zero_zero_nat) (= M N2)))))
% 13.98/14.26 (assume a1926 (forall ((M tptp.nat)) (= (@ (@ tptp.minus_minus_nat M) tptp.zero_zero_nat) M)))
% 13.98/14.26 (assume a1927 (forall ((A Bool) (B Bool) (N2 tptp.nat)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.suc (@ tptp.suc N2))) (@ (@ tptp.vEBT_Leaf A) B))))
% 13.98/14.26 (assume a1928 (forall ((A tptp.real) (N2 tptp.nat) (B tptp.real)) (=> (= (@ (@ tptp.power_power_real A) N2) (@ (@ tptp.power_power_real B) N2)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= A B)))))))
% 13.98/14.26 (assume a1929 (forall ((A tptp.nat) (N2 tptp.nat) (B tptp.nat)) (=> (= (@ (@ tptp.power_power_nat A) N2) (@ (@ tptp.power_power_nat B) N2)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= A B)))))))
% 13.98/14.26 (assume a1930 (forall ((A tptp.int) (N2 tptp.nat) (B tptp.int)) (=> (= (@ (@ tptp.power_power_int A) N2) (@ (@ tptp.power_power_int B) N2)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= A B)))))))
% 13.98/14.26 (assume a1931 (forall ((N2 tptp.nat) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (= (= (@ (@ tptp.power_power_real A) N2) (@ (@ tptp.power_power_real B) N2)) (= A B)))))))
% 13.98/14.26 (assume a1932 (forall ((N2 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (= (= (@ (@ tptp.power_power_nat A) N2) (@ (@ tptp.power_power_nat B) N2)) (= A B)))))))
% 13.98/14.26 (assume a1933 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (= (= (@ (@ tptp.power_power_int A) N2) (@ (@ tptp.power_power_int B) N2)) (= A B)))))))
% 13.98/14.26 (assume a1934 (= (lambda ((H tptp.extended_enat)) tptp.zero_z5237406670263579293d_enat) (@ tptp.times_7803423173614009249d_enat tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a1935 (= (lambda ((H tptp.complex)) tptp.zero_zero_complex) (@ tptp.times_times_complex tptp.zero_zero_complex)))
% 13.98/14.26 (assume a1936 (= (lambda ((H tptp.real)) tptp.zero_zero_real) (@ tptp.times_times_real tptp.zero_zero_real)))
% 13.98/14.26 (assume a1937 (= (lambda ((H tptp.nat)) tptp.zero_zero_nat) (@ tptp.times_times_nat tptp.zero_zero_nat)))
% 13.98/14.26 (assume a1938 (= (lambda ((H tptp.int)) tptp.zero_zero_int) (@ tptp.times_times_int tptp.zero_zero_int)))
% 13.98/14.26 (assume a1939 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.list_VEBT_VEBT) (Vb tptp.vEBT_VEBT) (X tptp.nat)) (= (@ (@ tptp.vEBT_VEBT_membermima (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) tptp.zero_zero_nat) Va) Vb)) X) (or (= X Mi) (= X Ma)))))
% 13.98/14.26 (assume a1940 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2)))))))
% 13.98/14.26 (assume a1941 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2)))))))
% 13.98/14.26 (assume a1942 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2)))))))
% 13.98/14.26 (assume a1943 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 Bool) (B3 Bool)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) tptp.zero_zero_nat)))) (=> (forall ((A3 Bool) (B3 Bool)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) (@ tptp.suc tptp.zero_zero_nat))))) (=> (forall ((A3 Bool) (B3 Bool) (N4 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) (@ tptp.suc (@ tptp.suc N4)))))) (=> (forall ((Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (Uu2 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) Summary2)) Uu2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst tptp.list_VEBT_VEBT) (Smry tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) TrLst) Smry)) X5)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr tptp.list_VEBT_VEBT) (Sm tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc tptp.zero_zero_nat)) Tr) Sm)) X5)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) X5)))))))))))))
% 13.98/14.26 (assume a1944 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 Bool) (B3 Bool) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) X5)))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Uu2) Uv2) Uw2)) X5)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat V2)) tptp.zero_zero_nat) Uy2) Uz2)) X5)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat V2)) (@ tptp.suc tptp.zero_zero_nat)) Vb2) Vc2)) X5)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) X5)))))))))))
% 13.98/14.26 (assume a1945 (forall ((X tptp.vEBT_VEBT)) (=> (not (= X (@ (@ tptp.vEBT_Leaf false) false))) (=> (forall ((Uv2 Bool)) (not (= X (@ (@ tptp.vEBT_Leaf true) Uv2)))) (=> (forall ((Uu2 Bool)) (not (= X (@ (@ tptp.vEBT_Leaf Uu2) true)))) (=> (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)))))))))))
% 13.98/14.26 (assume a1946 (forall ((A Bool) (B Bool)) (and (=> A (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A) (and (=> B (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.some_nat tptp.one_one_nat))) (=> (not B) (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.vEBT_Leaf A) B)) tptp.none_nat)))))))
% 13.98/14.26 (assume a1947 (forall ((B Bool) (A Bool)) (and (=> B (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.some_nat tptp.one_one_nat))) (=> (not B) (and (=> A (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A) (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_Leaf A) B)) tptp.none_nat)))))))
% 13.98/14.26 (assume a1948 (forall ((A Bool) (Uw Bool)) (and (=> A (= (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.vEBT_Leaf A) Uw)) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.vEBT_Leaf A) Uw)) (@ tptp.suc tptp.zero_zero_nat)) tptp.none_nat)))))
% 13.98/14.26 (assume a1949 (forall ((X tptp.vEBT_VEBT)) (=> (not (@ tptp.vEBT_VEBT_minNull X)) (=> (forall ((Uv2 Bool)) (not (= X (@ (@ tptp.vEBT_Leaf true) Uv2)))) (=> (forall ((Uu2 Bool)) (not (= X (@ (@ tptp.vEBT_Leaf Uu2) true)))) (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))))))))))
% 13.98/14.26 (assume a1950 (forall ((B Bool) (Uu Bool)) (and (=> B (= (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.vEBT_Leaf Uu) B)) tptp.zero_zero_nat) (@ tptp.some_nat tptp.one_one_nat))) (=> (not B) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.vEBT_Leaf Uu) B)) tptp.zero_zero_nat) tptp.none_nat)))))
% 13.98/14.26 (assume a1951 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.numera1916890842035813515d_enat N2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a1952 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real N2)) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1953 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat N2)) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1954 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int N2)) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1955 (forall ((N2 tptp.num)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.numera1916890842035813515d_enat N2))))
% 13.98/14.26 (assume a1956 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.26 (assume a1957 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat N2))))
% 13.98/14.26 (assume a1958 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.26 (assume a1959 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat C) A)) (@ (@ tptp.times_7803423173614009249d_enat C) B))))))
% 13.98/14.26 (assume a1960 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.26 (assume a1961 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B))))))
% 13.98/14.26 (assume a1962 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.26 (assume a1963 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a1964 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B)) (or (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B)) (and (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int))))))
% 13.98/14.26 (assume a1965 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real B) A)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1966 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat B) A)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1967 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int B) A)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1968 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1969 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1970 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1971 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a1972 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a1973 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a1974 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B))))))
% 13.98/14.26 (assume a1975 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.times_times_nat A) B))))))
% 13.98/14.26 (assume a1976 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B))))))
% 13.98/14.26 (assume a1977 (forall ((A tptp.real) (B tptp.real)) (=> (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real))))
% 13.98/14.26 (assume a1978 (forall ((A tptp.nat) (B tptp.nat)) (=> (or (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_eq_nat B) tptp.zero_zero_nat)) (and (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) B)) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a1979 (forall ((A tptp.int) (B tptp.int)) (=> (or (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int)) (and (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int))))
% 13.98/14.26 (assume a1980 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real) (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B))))))
% 13.98/14.26 (assume a1981 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int) (or (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int)) (and (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B))))))
% 13.98/14.26 (assume a1982 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat A) C)) (@ (@ tptp.times_7803423173614009249d_enat B) C))))))
% 13.98/14.26 (assume a1983 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C))))))
% 13.98/14.26 (assume a1984 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C))))))
% 13.98/14.26 (assume a1985 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C))))))
% 13.98/14.26 (assume a1986 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C))))))
% 13.98/14.26 (assume a1987 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C))))))
% 13.98/14.26 (assume a1988 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat C) A)) (@ (@ tptp.times_7803423173614009249d_enat C) B))))))
% 13.98/14.26 (assume a1989 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.26 (assume a1990 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B))))))
% 13.98/14.26 (assume a1991 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.26 (assume a1992 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B))))))
% 13.98/14.26 (assume a1993 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B))))))
% 13.98/14.26 (assume a1994 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.26 (assume a1995 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.26 (assume a1996 (forall ((A tptp.real) (B tptp.real)) (=> (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)))))
% 13.98/14.26 (assume a1997 (forall ((A tptp.int) (B tptp.int)) (=> (or (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B)) (and (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B)))))
% 13.98/14.26 (assume a1998 (forall ((A tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) A))))
% 13.98/14.26 (assume a1999 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) A))))
% 13.98/14.26 (assume a2000 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) D) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat A) C)) (@ (@ tptp.times_7803423173614009249d_enat B) D))))))))
% 13.98/14.26 (assume a2001 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) D) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))))
% 13.98/14.26 (assume a2002 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat C) D) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))))
% 13.98/14.26 (assume a2003 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int C) D) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))))
% 13.98/14.26 (assume a2004 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) D) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat A) C)) (@ (@ tptp.times_7803423173614009249d_enat B) D))))))))
% 13.98/14.26 (assume a2005 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) D) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))))
% 13.98/14.26 (assume a2006 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat C) D) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))))
% 13.98/14.26 (assume a2007 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int C) D) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))))
% 13.98/14.26 (assume a2008 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.numera1916890842035813515d_enat N2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a2009 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real N2)) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2010 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat N2)) tptp.zero_zero_nat))))
% 13.98/14.26 (assume a2011 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int N2)) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2012 (forall ((N2 tptp.num)) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.numera1916890842035813515d_enat N2))))
% 13.98/14.26 (assume a2013 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.26 (assume a2014 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat N2))))
% 13.98/14.26 (assume a2015 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.26 (assume a2016 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat X) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat Y) tptp.zero_z5237406670263579293d_enat) (= (= (@ (@ tptp.plus_p3455044024723400733d_enat X) Y) tptp.zero_z5237406670263579293d_enat) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.26 (assume a2017 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.zero_zero_real) (= (= (@ (@ tptp.plus_plus_real X) Y) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 13.98/14.26 (assume a2018 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_eq_nat Y) tptp.zero_zero_nat) (= (= (@ (@ tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 13.98/14.26 (assume a2019 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int Y) tptp.zero_zero_int) (= (= (@ (@ tptp.plus_plus_int X) Y) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 13.98/14.26 (assume a2020 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) X) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) Y) (= (= (@ (@ tptp.plus_p3455044024723400733d_enat X) Y) tptp.zero_z5237406670263579293d_enat) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.26 (assume a2021 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (= (@ (@ tptp.plus_plus_real X) Y) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 13.98/14.26 (assume a2022 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) X) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) Y) (= (= (@ (@ tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 13.98/14.26 (assume a2023 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (= (= (@ (@ tptp.plus_plus_int X) Y) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 13.98/14.26 (assume a2024 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a2025 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2026 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_eq_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2027 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2028 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.plus_p3455044024723400733d_enat A) B))))))
% 13.98/14.26 (assume a2029 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.26 (assume a2030 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.26 (assume a2031 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.26 (assume a2032 (forall ((C tptp.extended_enat) (B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (@ (@ tptp.ord_le2932123472753598470d_enat B) (@ (@ tptp.plus_p3455044024723400733d_enat A) C))))))
% 13.98/14.26 (assume a2033 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (=> (@ (@ tptp.ord_less_eq_real B) A) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.plus_plus_real A) C))))))
% 13.98/14.26 (assume a2034 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (=> (@ (@ tptp.ord_less_eq_nat B) A) (@ (@ tptp.ord_less_eq_nat B) (@ (@ tptp.plus_plus_nat A) C))))))
% 13.98/14.26 (assume a2035 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (=> (@ (@ tptp.ord_less_eq_int B) A) (@ (@ tptp.ord_less_eq_int B) (@ (@ tptp.plus_plus_int A) C))))))
% 13.98/14.26 (assume a2036 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) C)) B)))))
% 13.98/14.26 (assume a2037 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) C)) B)))))
% 13.98/14.26 (assume a2038 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat C) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_eq_nat A) B) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) C)) B)))))
% 13.98/14.26 (assume a2039 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) C)) B)))))
% 13.98/14.26 (assume a2040 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) C) (@ (@ tptp.ord_le2932123472753598470d_enat B) (@ (@ tptp.plus_p3455044024723400733d_enat A) C))))))
% 13.98/14.26 (assume a2041 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real B) C) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.plus_plus_real A) C))))))
% 13.98/14.26 (assume a2042 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat B) C) (@ (@ tptp.ord_less_eq_nat B) (@ (@ tptp.plus_plus_nat A) C))))))
% 13.98/14.26 (assume a2043 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int B) C) (@ (@ tptp.ord_less_eq_int B) (@ (@ tptp.plus_plus_int A) C))))))
% 13.98/14.26 (assume a2044 (forall ((A tptp.extended_enat) (C tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) B) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) C)) B)))))
% 13.98/14.26 (assume a2045 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real C) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real A) C)) B)))))
% 13.98/14.26 (assume a2046 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_eq_nat C) B) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat A) C)) B)))))
% 13.98/14.26 (assume a2047 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int C) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int A) C)) B)))))
% 13.98/14.26 (assume a2048 (not (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a2049 (not (@ (@ tptp.ord_less_eq_real tptp.one_one_real) tptp.zero_zero_real)))
% 13.98/14.26 (assume a2050 (not (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2051 (not (@ (@ tptp.ord_less_eq_int tptp.one_one_int) tptp.zero_zero_int)))
% 13.98/14.26 (assume a2052 (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.26 (assume a2053 (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.26 (assume a2054 (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 13.98/14.26 (assume a2055 (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int))
% 13.98/14.26 (assume a2056 (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.26 (assume a2057 (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.26 (assume a2058 (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 13.98/14.26 (assume a2059 (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int))
% 13.98/14.26 (assume a2060 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.26 (assume a2061 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B))))))
% 13.98/14.26 (assume a2062 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.26 (assume a2063 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)) (and (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A))))))
% 13.98/14.26 (assume a2064 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (or (and (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) B)) (and (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) A))))))
% 13.98/14.26 (assume a2065 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C))))))
% 13.98/14.26 (assume a2066 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C))))))
% 13.98/14.26 (assume a2067 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C))))))
% 13.98/14.26 (assume a2068 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C))))))
% 13.98/14.26 (assume a2069 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C))))))
% 13.98/14.26 (assume a2070 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)) (and (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A))))))
% 13.98/14.26 (assume a2071 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (or (and (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) B)) (and (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) A))))))
% 13.98/14.26 (assume a2072 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.26 (assume a2073 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B))))))
% 13.98/14.26 (assume a2074 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.26 (assume a2075 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.26 (assume a2076 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.26 (assume a2077 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a2078 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.26 (assume a2079 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.ord_less_real B) A)))))
% 13.98/14.26 (assume a2080 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.ord_less_int B) A)))))
% 13.98/14.26 (assume a2081 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real B) A)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B)))))
% 13.98/14.26 (assume a2082 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.times_times_nat B) A)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B)))))
% 13.98/14.26 (assume a2083 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.times_times_int B) A)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_int tptp.zero_zero_int) B)))))
% 13.98/14.26 (assume a2084 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B)))))
% 13.98/14.26 (assume a2085 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.times_times_nat A) B)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B)))))
% 13.98/14.26 (assume a2086 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_int tptp.zero_zero_int) B)))))
% 13.98/14.26 (assume a2087 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2088 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B)) (or (and (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_int tptp.zero_zero_int) B)) (and (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) tptp.zero_zero_int))))))
% 13.98/14.26 (assume a2089 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real B) A)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2090 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat B) A)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2091 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int B) A)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2092 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B))))))
% 13.98/14.26 (assume a2093 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.times_times_nat A) B))))))
% 13.98/14.26 (assume a2094 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B))))))
% 13.98/14.26 (assume a2095 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2096 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2097 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2098 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2099 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2100 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2101 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real B) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B))))))
% 13.98/14.26 (assume a2102 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) B)) tptp.zero_zero_int) (or (and (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_int B) tptp.zero_zero_int)) (and (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_int tptp.zero_zero_int) B))))))
% 13.98/14.26 (assume a2103 (forall ((A tptp.real)) (not (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) A)) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2104 (forall ((A tptp.int)) (not (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) A)) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2105 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B))))))
% 13.98/14.26 (assume a2106 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.times_times_int A) B))))))
% 13.98/14.26 (assume a2107 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (@ (@ tptp.ord_le72135733267957522d_enat B) (@ (@ tptp.plus_p3455044024723400733d_enat A) C))))))
% 13.98/14.26 (assume a2108 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real B) C) (@ (@ tptp.ord_less_real B) (@ (@ tptp.plus_plus_real A) C))))))
% 13.98/14.26 (assume a2109 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat B) C) (@ (@ tptp.ord_less_nat B) (@ (@ tptp.plus_plus_nat A) C))))))
% 13.98/14.26 (assume a2110 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int B) C) (@ (@ tptp.ord_less_int B) (@ (@ tptp.plus_plus_int A) C))))))
% 13.98/14.26 (assume a2111 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (not (forall ((C3 tptp.extended_enat)) (=> (= B (@ (@ tptp.plus_p3455044024723400733d_enat A) C3)) (= C3 tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.26 (assume a2112 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (not (forall ((C3 tptp.nat)) (=> (= B (@ (@ tptp.plus_plus_nat A) C3)) (= C3 tptp.zero_zero_nat)))))))
% 13.98/14.26 (assume a2113 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) B) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.plus_p3455044024723400733d_enat A) B))))))
% 13.98/14.26 (assume a2114 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.26 (assume a2115 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.26 (assume a2116 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.26 (assume a2117 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a2118 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2119 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2120 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2121 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real X) Y)) tptp.zero_zero_real) (or (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_real Y) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2122 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int X) Y)) tptp.zero_zero_int) (or (@ (@ tptp.ord_less_int X) tptp.zero_zero_int) (@ (@ tptp.ord_less_int Y) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2123 (forall ((X tptp.vEBT_VEBT)) (=> (@ tptp.vEBT_VEBT_minNull X) (=> (not (= X (@ (@ tptp.vEBT_Leaf false) false))) (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)))))))))
% 13.98/14.26 (assume a2124 (not (@ (@ tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a2125 (not (@ (@ tptp.ord_less_real tptp.one_one_real) tptp.zero_zero_real)))
% 13.98/14.26 (assume a2126 (not (@ (@ tptp.ord_less_nat tptp.one_one_nat) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2127 (not (@ (@ tptp.ord_less_int tptp.one_one_int) tptp.zero_zero_int)))
% 13.98/14.26 (assume a2128 (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.26 (assume a2129 (@ (@ tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.26 (assume a2130 (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 13.98/14.26 (assume a2131 (@ (@ tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int))
% 13.98/14.26 (assume a2132 (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.26 (assume a2133 (@ (@ tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.26 (assume a2134 (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 13.98/14.26 (assume a2135 (@ (@ tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int))
% 13.98/14.26 (assume a2136 (= tptp.ord_less_eq_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real A4) B4)) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2137 (= tptp.ord_less_eq_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int A4) B4)) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2138 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.divide_divide_real A) C))))))
% 13.98/14.26 (assume a2139 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2140 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Y)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2141 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Y)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2142 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2143 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real A) B)) (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2144 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C))))))
% 13.98/14.26 (assume a2145 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real A) B)) tptp.zero_zero_real) (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B))))))
% 13.98/14.26 (assume a2146 (= tptp.ord_less_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real A4) B4)) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2147 (= tptp.ord_less_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.ord_less_int (@ (@ tptp.minus_minus_int A4) B4)) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2148 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.26 (assume a2149 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.26 (assume a2150 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.26 (assume a2151 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2))))))
% 13.98/14.26 (assume a2152 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2))))))
% 13.98/14.26 (assume a2153 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2))))))
% 13.98/14.26 (assume a2154 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C))))))
% 13.98/14.26 (assume a2155 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C))))))
% 13.98/14.26 (assume a2156 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real A) B)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2157 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A)) (not (= C tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2158 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real A) B)) tptp.zero_zero_real) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real B) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.zero_zero_real) B))))))
% 13.98/14.26 (assume a2159 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2160 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real Y) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real X) Y)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2161 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real X) Y)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2162 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real Y) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2163 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.26 (assume a2164 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.26 (assume a2165 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.26 (assume a2166 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= A (@ (@ tptp.divide_divide_real B) C)) (= (@ (@ tptp.times_times_real A) C) B)))))
% 13.98/14.26 (assume a2167 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= A (@ (@ tptp.divide1717551699836669952omplex B) C)) (= (@ (@ tptp.times_times_complex A) C) B)))))
% 13.98/14.26 (assume a2168 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (@ (@ tptp.divide_divide_real B) C) A) (= B (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.26 (assume a2169 (forall ((C tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex B) C) A) (= B (@ (@ tptp.times_times_complex A) C))))))
% 13.98/14.26 (assume a2170 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (=> (= (@ (@ tptp.times_times_real A) C) B) (= A (@ (@ tptp.divide_divide_real B) C))))))
% 13.98/14.26 (assume a2171 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (=> (= (@ (@ tptp.times_times_complex A) C) B) (= A (@ (@ tptp.divide1717551699836669952omplex B) C))))))
% 13.98/14.26 (assume a2172 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (not (= C tptp.zero_zero_real)) (=> (= B (@ (@ tptp.times_times_real A) C)) (= (@ (@ tptp.divide_divide_real B) C) A)))))
% 13.98/14.26 (assume a2173 (forall ((C tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (=> (= B (@ (@ tptp.times_times_complex A) C)) (= (@ (@ tptp.divide1717551699836669952omplex B) C) A)))))
% 13.98/14.26 (assume a2174 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= A (@ (@ tptp.divide_divide_real B) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real A) C) B)) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2175 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= A (@ (@ tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex A) C) B)) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a2176 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (= (@ (@ tptp.divide_divide_real B) C) A) (and (=> (not (= C tptp.zero_zero_real)) (= B (@ (@ tptp.times_times_real A) C))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2177 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex B) C) A) (and (=> (not (= C tptp.zero_zero_complex)) (= B (@ (@ tptp.times_times_complex A) C))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.26 (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.divide_divide_real X) Y) (@ (@ tptp.divide_divide_real W) Z)) (= (@ (@ tptp.times_times_real X) Z) (@ (@ tptp.times_times_real W) Y)))))))
% 13.98/14.26 (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.divide1717551699836669952omplex X) Y) (@ (@ tptp.divide1717551699836669952omplex W) Z)) (= (@ (@ tptp.times_times_complex X) Z) (@ (@ tptp.times_times_complex W) Y)))))))
% 13.98/14.26 (assume a2180 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (= (@ (@ tptp.divide_divide_real A) B) tptp.one_one_real) (= A B)))))
% 13.98/14.26 (assume a2181 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex A) B) tptp.one_one_complex) (= A B)))))
% 13.98/14.26 (assume a2182 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.power_8040749407984259932d_enat A) tptp.zero_zero_nat) tptp.one_on7984719198319812577d_enat)))
% 13.98/14.26 (assume a2183 (forall ((A tptp.nat)) (= (@ (@ tptp.power_power_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 13.98/14.26 (assume a2184 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 13.98/14.26 (assume a2185 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 13.98/14.26 (assume a2186 (forall ((A tptp.complex)) (= (@ (@ tptp.power_power_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 13.98/14.26 (assume a2187 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) (@ tptp.suc N2)) (@ P I5))) (or (@ P tptp.zero_zero_nat) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_nat I5) N2) (@ P (@ tptp.suc I5))))))))
% 13.98/14.26 (assume a2188 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (exists ((M6 tptp.nat)) (= N2 (@ tptp.suc M6))))))
% 13.98/14.26 (assume a2189 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ tptp.suc N2)) (@ P I5))) (and (@ P tptp.zero_zero_nat) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) N2) (@ P (@ tptp.suc I5))))))))
% 13.98/14.26 (assume a2190 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (exists ((M5 tptp.nat)) (= N2 (@ tptp.suc M5))))))
% 13.98/14.26 (assume a2191 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat M) (@ tptp.suc N2)) (or (= M tptp.zero_zero_nat) (exists ((J3 tptp.nat)) (and (= M (@ tptp.suc J3)) (@ (@ tptp.ord_less_nat J3) N2)))))))
% 13.98/14.26 (assume a2192 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat M) N2) (@ tptp.suc tptp.zero_zero_nat)) (or (and (= M (@ tptp.suc tptp.zero_zero_nat)) (= N2 tptp.zero_zero_nat)) (and (= M tptp.zero_zero_nat) (= N2 (@ tptp.suc tptp.zero_zero_nat)))))))
% 13.98/14.26 (assume a2193 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.suc tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat M) N2)) (or (and (= M (@ tptp.suc tptp.zero_zero_nat)) (= N2 tptp.zero_zero_nat)) (and (= M tptp.zero_zero_nat) (= N2 (@ tptp.suc tptp.zero_zero_nat)))))))
% 13.98/14.26 (assume a2194 (forall ((X22 tptp.product_prod_nat_nat)) (= (@ tptp.size_s170228958280169651at_nat (@ tptp.some_P7363390416028606310at_nat X22)) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.26 (assume a2195 (forall ((X22 tptp.nat)) (= (@ tptp.size_size_option_nat (@ tptp.some_nat X22)) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.26 (assume a2196 (forall ((X22 tptp.num)) (= (@ tptp.size_size_option_num (@ tptp.some_num X22)) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.26 (assume a2197 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (@ P N2) (=> (not (@ P tptp.zero_zero_nat)) (exists ((K2 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat K2) N2) (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) K2) (not (@ P I)))) (@ P K2)))))))
% 13.98/14.26 (assume a2198 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (exists ((K2 tptp.nat)) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K2) (= (@ (@ tptp.plus_plus_nat I2) K2) J))))))
% 13.98/14.26 (assume a2199 (= (@ tptp.size_s170228958280169651at_nat tptp.none_P5556105721700978146at_nat) (@ tptp.suc tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2200 (= (@ tptp.size_size_option_nat tptp.none_nat) (@ tptp.suc tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2201 (= (@ tptp.size_size_option_num tptp.none_num) (@ tptp.suc tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2202 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.26 (assume a2203 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (= (@ (@ tptp.times_times_nat K) M) (@ (@ tptp.times_times_nat K) N2)) (= M N2)))))
% 13.98/14.26 (assume a2204 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat K) I2)) (@ (@ tptp.times_times_nat K) J))))))
% 13.98/14.26 (assume a2205 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat I2) K)) (@ (@ tptp.times_times_nat J) K))))))
% 13.98/14.26 (assume a2206 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat M) N2)) M)))))
% 13.98/14.26 (assume a2207 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.divide_divide_nat M) N2) tptp.zero_zero_nat) (or (@ (@ tptp.ord_less_nat M) N2) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2208 (= tptp.one_one_nat (@ tptp.suc tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2209 (forall ((I2 tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) I2) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat I2) M)) (@ (@ tptp.power_power_nat I2) N2)) (@ (@ tptp.ord_less_nat M) N2)))))
% 13.98/14.26 (assume a2210 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.minus_minus_nat N2) (@ (@ tptp.plus_plus_nat N2) M)) tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2211 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (= M (@ (@ tptp.times_times_nat M) N2)) (or (= N2 tptp.one_one_nat) (= M tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2212 (forall ((V tptp.product_prod_nat_nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (X tptp.nat)) (not (@ (@ tptp.vEBT_vebt_member (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat V)) tptp.zero_zero_nat) Uy) Uz)) X))))
% 13.98/14.26 (assume a2213 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 Bool) (Uv2 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) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) Va3) Vb2)) X5)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) X5)))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) X5)))))))))))
% 13.98/14.26 (assume a2214 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 Bool) (B3 Bool) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) X5)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Info2) tptp.zero_zero_nat) Ts) S2)) X5)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Info2) (@ tptp.suc tptp.zero_zero_nat)) Ts) S2)) X5)))) (=> (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc V2))) TreeList3) Summary2)) X5)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) X5)))))))))))
% 13.98/14.26 (assume a2215 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 Bool) (Uv2 Bool)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf Uu2) Uv2)) tptp.zero_zero_nat)))) (=> (forall ((A3 Bool) (Uw2 Bool)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) Uw2)) (@ tptp.suc tptp.zero_zero_nat))))) (=> (forall ((A3 Bool) (B3 Bool) (Va2 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) (@ tptp.suc (@ 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.suc tptp.zero_zero_nat)) Vh) Vi)) Vj)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) X5)))))))))))))
% 13.98/14.26 (assume a2216 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 Bool) (B3 Bool)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf Uu2) B3)) tptp.zero_zero_nat)))) (=> (forall ((Uv2 Bool) (Uw2 Bool) (N4 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf Uv2) Uw2)) (@ tptp.suc N4))))) (=> (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.suc tptp.zero_zero_nat)) Vg) Vh)) Vi)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) X5))))))))))))
% 13.98/14.26 (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))))
% 13.98/14.26 (assume a2218 (forall ((B Bool) (A Bool) (Va tptp.nat)) (and (=> B (= (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.suc (@ tptp.suc Va))) (@ tptp.some_nat tptp.one_one_nat))) (=> (not B) (and (=> A (= (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.suc (@ tptp.suc Va))) (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A) (= (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.vEBT_Leaf A) B)) (@ tptp.suc (@ tptp.suc Va))) tptp.none_nat)))))))
% 13.98/14.26 (assume a2219 (forall ((X tptp.vEBT_VEBT) (Y Bool)) (=> (= (@ tptp.vEBT_VEBT_minNull X) Y) (=> (=> (= X (@ (@ tptp.vEBT_Leaf false) false)) (not Y)) (=> (=> (exists ((Uv2 Bool)) (= X (@ (@ tptp.vEBT_Leaf true) Uv2))) Y) (=> (=> (exists ((Uu2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uu2) true))) 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 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))) Y)))))))))
% 13.98/14.26 (assume a2220 (forall ((Uv Bool) (Uw Bool) (N2 tptp.nat)) (= (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.vEBT_Leaf Uv) Uw)) (@ tptp.suc N2)) tptp.none_nat)))
% 13.98/14.26 (assume a2221 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) D) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))))
% 13.98/14.26 (assume a2222 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat C) D) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))))
% 13.98/14.26 (assume a2223 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_eq_int C) D) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))))
% 13.98/14.26 (assume a2224 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_real C) D) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))))
% 13.98/14.26 (assume a2225 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_nat C) D) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))))
% 13.98/14.26 (assume a2226 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_int C) D) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))))
% 13.98/14.26 (assume a2227 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.26 (assume a2228 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat A) B)))))
% 13.98/14.26 (assume a2229 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int A) B)))))
% 13.98/14.26 (assume a2230 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.26 (assume a2231 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_eq_nat A) B)))))
% 13.98/14.26 (assume a2232 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int A) B)))))
% 13.98/14.26 (assume a2233 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.26 (assume a2234 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.ord_less_eq_int A) B)))))
% 13.98/14.26 (assume a2235 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (@ (@ tptp.ord_less_eq_real B) A)))))
% 13.98/14.26 (assume a2236 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.ord_less_eq_int B) A)))))
% 13.98/14.26 (assume a2237 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (and (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A))))))
% 13.98/14.26 (assume a2238 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) B)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) A))))))
% 13.98/14.26 (assume a2239 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real C) D) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))))
% 13.98/14.26 (assume a2240 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat C) D) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))))
% 13.98/14.26 (assume a2241 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int C) D) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))))
% 13.98/14.26 (assume a2242 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a2243 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat A) B)))))
% 13.98/14.26 (assume a2244 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.26 (assume a2245 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (and (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A))))))
% 13.98/14.26 (assume a2246 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) B)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) A))))))
% 13.98/14.26 (assume a2247 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real C) D) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))))
% 13.98/14.26 (assume a2248 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat C) D) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))))
% 13.98/14.26 (assume a2249 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int C) D) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))))
% 13.98/14.26 (assume a2250 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a2251 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (@ (@ tptp.ord_less_nat A) B)))))
% 13.98/14.26 (assume a2252 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.26 (assume a2253 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) A))))))
% 13.98/14.26 (assume a2254 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (and (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int A) B)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int B) A))))))
% 13.98/14.26 (assume a2255 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) A))))))
% 13.98/14.26 (assume a2256 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (and (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int A) B)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int B) A))))))
% 13.98/14.26 (assume a2257 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real B) C) (@ (@ tptp.ord_less_real B) (@ (@ tptp.plus_plus_real A) C))))))
% 13.98/14.26 (assume a2258 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat B) C) (@ (@ tptp.ord_less_nat B) (@ (@ tptp.plus_plus_nat A) C))))))
% 13.98/14.26 (assume a2259 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int B) C) (@ (@ tptp.ord_less_int B) (@ (@ tptp.plus_plus_int A) C))))))
% 13.98/14.26 (assume a2260 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real B) C) (@ (@ tptp.ord_less_real B) (@ (@ tptp.plus_plus_real A) C))))))
% 13.98/14.26 (assume a2261 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat B) C) (@ (@ tptp.ord_less_nat B) (@ (@ tptp.plus_plus_nat A) C))))))
% 13.98/14.26 (assume a2262 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int B) C) (@ (@ tptp.ord_less_int B) (@ (@ tptp.plus_plus_int A) C))))))
% 13.98/14.26 (assume a2263 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.plus_p3455044024723400733d_enat A) B))))))
% 13.98/14.26 (assume a2264 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.26 (assume a2265 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.26 (assume a2266 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.26 (assume a2267 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a2268 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2269 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2270 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2271 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) B) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.plus_p3455044024723400733d_enat A) B))))))
% 13.98/14.26 (assume a2272 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.26 (assume a2273 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.26 (assume a2274 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.26 (assume a2275 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a2276 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real A) B)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2277 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) tptp.zero_zero_nat) (=> (@ (@ tptp.ord_less_eq_nat B) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat A) B)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2278 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int A) B)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2279 (forall ((X tptp.real) (Y tptp.real)) (=> (forall ((E2 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E2) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.plus_plus_real Y) E2)))) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.26 (assume a2280 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B) (=> (@ (@ tptp.ord_le3102999989581377725nteger B) A) (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.26 (assume a2281 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_eq_nat B) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.26 (assume a2282 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_eq_int B) A) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.26 (assume a2283 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A) (=> (@ (@ tptp.ord_le6747313008572928689nteger A) B) (= (@ (@ tptp.divide6298287555418463151nteger A) B) tptp.zero_z3403309356797280102nteger)))))
% 13.98/14.26 (assume a2284 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat A) B) (= (@ (@ tptp.divide_divide_nat A) B) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2285 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int A) B) (= (@ (@ tptp.divide_divide_int A) B) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2286 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Y)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2287 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real Y) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2288 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2289 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real Y) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Y)) tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2290 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real A) C)) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) A))))))
% 13.98/14.26 (assume a2291 (forall ((X tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) W) (=> (@ (@ tptp.ord_less_real W) Z) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real X) Z)) (@ (@ tptp.divide_divide_real Y) W))))))))
% 13.98/14.26 (assume a2292 (forall ((X tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) Y) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) W) (=> (@ (@ tptp.ord_less_eq_real W) Z) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real X) Z)) (@ (@ tptp.divide_divide_real Y) W))))))))
% 13.98/14.26 (assume a2293 (forall ((Y tptp.real) (X tptp.real) (W tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) W) (=> (@ (@ tptp.ord_less_eq_real W) Z) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Z)) (@ (@ tptp.divide_divide_real Y) W))))))))
% 13.98/14.26 (assume a2294 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y)))))
% 13.98/14.26 (assume a2295 (forall ((X tptp.int) (Y tptp.int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int X) X)) (@ (@ tptp.times_times_int Y) Y)))))
% 13.98/14.26 (assume a2296 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y))) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2297 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int X) X)) (@ (@ tptp.times_times_int Y) Y))) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2298 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real Y) X)) X))))))
% 13.98/14.26 (assume a2299 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (=> (@ (@ tptp.ord_less_eq_int Y) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int Y) X)) X))))))
% 13.98/14.26 (assume a2300 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real X) Y)) X))))))
% 13.98/14.26 (assume a2301 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (=> (@ (@ tptp.ord_less_eq_int Y) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int X) Y)) X))))))
% 13.98/14.26 (assume a2302 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) tptp.one_on7984719198319812577d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) tptp.one_on7984719198319812577d_enat) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat A) B)) tptp.one_on7984719198319812577d_enat))))))
% 13.98/14.26 (assume a2303 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_eq_real B) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.one_one_real))))))
% 13.98/14.26 (assume a2304 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.one_one_nat) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_eq_nat B) tptp.one_one_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) B)) tptp.one_one_nat))))))
% 13.98/14.26 (assume a2305 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.one_one_int) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_eq_int B) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) B)) tptp.one_one_int))))))
% 13.98/14.26 (assume a2306 (forall ((C tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) tptp.one_on7984719198319812577d_enat) (=> (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.times_7803423173614009249d_enat A) C)) A)))))
% 13.98/14.26 (assume a2307 (forall ((C tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) A)))))
% 13.98/14.26 (assume a2308 (forall ((C tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat C) tptp.one_one_nat) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat A) C)) A)))))
% 13.98/14.26 (assume a2309 (forall ((C tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.one_one_int) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) A)))))
% 13.98/14.26 (assume a2310 (forall ((A tptp.real) (N2 tptp.nat) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a2311 (forall ((A tptp.nat) (N2 tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat A) B)))))
% 13.98/14.26 (assume a2312 (forall ((A tptp.int) (N2 tptp.nat) (B tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.26 (assume a2313 (forall ((X tptp.real) (Y tptp.real)) (not (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y))) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2314 (forall ((X tptp.int) (Y tptp.int)) (not (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int X) X)) (@ (@ tptp.times_times_int Y) Y))) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2315 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y))) (or (not (= X tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2316 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int X) X)) (@ (@ tptp.times_times_int Y) Y))) (or (not (= X tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 13.98/14.26 (assume a2317 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) C) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C)))))
% 13.98/14.26 (assume a2318 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) B)) C)))))
% 13.98/14.26 (assume a2319 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) B)) C)))))
% 13.98/14.26 (assume a2320 (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat)))
% 13.98/14.26 (assume a2321 (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real)))
% 13.98/14.26 (assume a2322 (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat)))
% 13.98/14.26 (assume a2323 (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.26 (assume a2324 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real C) A)) (@ (@ tptp.divide_divide_real C) B)))))))
% 13.98/14.26 (assume a2325 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real C) A)) (@ (@ tptp.divide_divide_real C) B)))))))
% 13.98/14.26 (assume a2326 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real Z) Y)) X) (@ (@ tptp.ord_less_real Z) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2327 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.times_times_real Z) Y)) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real X) Y)) Z)))))
% 13.98/14.26 (assume a2328 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) B)))))
% 13.98/14.26 (assume a2329 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) C)) A) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.26 (assume a2330 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.26 (assume a2331 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) C)) A) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) B)))))
% 13.98/14.26 (assume a2332 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) B)) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))))))
% 13.98/14.26 (assume a2333 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) C)) A) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) B)) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))))))
% 13.98/14.26 (assume a2334 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) tptp.one_one_real)))))
% 13.98/14.26 (assume a2335 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.one_one_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) N2)) tptp.one_one_nat)))))
% 13.98/14.26 (assume a2336 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int A) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) tptp.one_one_int)))))
% 13.98/14.26 (assume a2337 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (= (@ tptp.numeral_numeral_real W) (@ (@ tptp.divide_divide_real B) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C) B)) (=> (= C tptp.zero_zero_real) (= (@ tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2338 (forall ((W tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (@ tptp.numera6690914467698888265omplex W) (@ (@ tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) C) B)) (=> (= C tptp.zero_zero_complex) (= (@ tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a2339 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (= (@ (@ tptp.divide_divide_real B) C) (@ tptp.numeral_numeral_real W)) (and (=> (not (= C tptp.zero_zero_real)) (= B (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C))) (=> (= C tptp.zero_zero_real) (= (@ tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2340 (forall ((B tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (@ (@ tptp.divide1717551699836669952omplex B) C) (@ tptp.numera6690914467698888265omplex W)) (and (=> (not (= C tptp.zero_zero_complex)) (= B (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) C))) (=> (= C tptp.zero_zero_complex) (= (@ tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 13.98/14.26 (assume a2341 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.divide_divide_real B) A)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real A) B)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A))))))
% 13.98/14.26 (assume a2342 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) A)) tptp.one_one_real) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real B) A)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real A) B)) (= A tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2343 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.divide_divide_real X) Z)) Y) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real Y) Z))) Z)))))
% 13.98/14.26 (assume a2344 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.divide1717551699836669952omplex X) Z)) Y) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex X) (@ (@ tptp.times_times_complex Y) Z))) Z)))))
% 13.98/14.26 (assume a2345 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real Y) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) Z)) Y)) Z)))))
% 13.98/14.26 (assume a2346 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex X) (@ (@ tptp.divide1717551699836669952omplex Y) Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex X) Z)) Y)) Z)))))
% 13.98/14.26 (assume a2347 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real Z) (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real Z) Y))) Y)))))
% 13.98/14.26 (assume a2348 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex Z) (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex X) (@ (@ tptp.times_times_complex Z) Y))) Y)))))
% 13.98/14.26 (assume a2349 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.divide_divide_real X) Y)) Z) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real Z) Y))) Y)))))
% 13.98/14.26 (assume a2350 (forall ((Y tptp.complex) (X tptp.complex) (Z tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.divide1717551699836669952omplex X) Y)) Z) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex X) (@ (@ tptp.times_times_complex Z) Y))) Y)))))
% 13.98/14.26 (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.plus_plus_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real W) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real W) Y))) (@ (@ tptp.times_times_real Y) Z)))))))
% 13.98/14.26 (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.plus_plus_complex (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide1717551699836669952omplex W) Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex X) Z)) (@ (@ tptp.times_times_complex W) Y))) (@ (@ tptp.times_times_complex Y) Z)))))))
% 13.98/14.26 (assume a2353 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (@ (@ tptp.plus_plus_real A) (@ (@ tptp.divide_divide_real B) Z)) A)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real A) (@ (@ tptp.divide_divide_real B) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) Z)) B)) Z))))))
% 13.98/14.26 (assume a2354 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.divide1717551699836669952omplex B) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.divide1717551699836669952omplex B) Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) Z)) B)) Z))))))
% 13.98/14.26 (assume a2355 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.divide_divide_real A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.divide_divide_real A) Z)) B) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) (@ (@ tptp.times_times_real B) Z))) Z))))))
% 13.98/14.26 (assume a2356 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.divide1717551699836669952omplex A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.divide1717551699836669952omplex A) Z)) B) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.times_times_complex B) Z))) Z))))))
% 13.98/14.26 (assume a2357 (forall ((A tptp.real) (N2 tptp.nat) (B tptp.real)) (=> (= (@ (@ tptp.power_power_real A) (@ tptp.suc N2)) (@ (@ tptp.power_power_real B) (@ tptp.suc N2))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (= A B))))))
% 13.98/14.26 (assume a2358 (forall ((A tptp.nat) (N2 tptp.nat) (B tptp.nat)) (=> (= (@ (@ tptp.power_power_nat A) (@ tptp.suc N2)) (@ (@ tptp.power_power_nat B) (@ tptp.suc N2))) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (= A B))))))
% 13.98/14.26 (assume a2359 (forall ((A tptp.int) (N2 tptp.nat) (B tptp.int)) (=> (= (@ (@ tptp.power_power_int A) (@ tptp.suc N2)) (@ (@ tptp.power_power_int B) (@ tptp.suc N2))) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (= A B))))))
% 13.98/14.26 (assume a2360 (forall ((A tptp.real) (N2 tptp.nat) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) (@ tptp.suc N2))) (@ (@ tptp.power_power_real B) (@ tptp.suc N2))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.26 (assume a2361 (forall ((A tptp.nat) (N2 tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) (@ tptp.suc N2))) (@ (@ tptp.power_power_nat B) (@ tptp.suc N2))) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_eq_nat A) B)))))
% 13.98/14.26 (assume a2362 (forall ((A tptp.int) (N2 tptp.nat) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) (@ tptp.suc N2))) (@ (@ tptp.power_power_int B) (@ tptp.suc N2))) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_eq_int A) B)))))
% 13.98/14.26 (assume a2363 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) B)) B) (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) B)) tptp.one_one_nat)))))
% 13.98/14.26 (assume a2364 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) B)) B) (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a2366 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat B) A)) B) (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) B)) tptp.one_one_nat)))))
% 13.98/14.26 (assume a2367 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int B) A)) B) (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 13.98/14.26 (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)))))
% 13.98/14.26 (assume a2369 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real X) Z)) Y) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real X) (@ (@ tptp.times_times_real Y) Z))) Z)))))
% 13.98/14.26 (assume a2370 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex X) Z)) Y) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex X) (@ (@ tptp.times_times_complex Y) Z))) Z)))))
% 13.98/14.26 (assume a2371 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real X) (@ (@ tptp.divide_divide_real Y) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) Z)) Y)) Z)))))
% 13.98/14.26 (assume a2372 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex X) (@ (@ tptp.divide1717551699836669952omplex Y) Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex X) Z)) Y)) Z)))))
% 13.98/14.26 (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.minus_minus_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real W) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real W) Y))) (@ (@ tptp.times_times_real Y) Z)))))))
% 13.98/14.26 (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.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide1717551699836669952omplex W) Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex X) Z)) (@ (@ tptp.times_times_complex W) Y))) (@ (@ tptp.times_times_complex Y) Z)))))))
% 13.98/14.26 (assume a2375 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (@ (@ tptp.minus_minus_real A) (@ (@ tptp.divide_divide_real B) Z)) A)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real A) (@ (@ tptp.divide_divide_real B) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real A) Z)) B)) Z))))))
% 13.98/14.26 (assume a2376 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (@ (@ tptp.minus_minus_complex A) (@ (@ tptp.divide1717551699836669952omplex B) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex A) (@ (@ tptp.divide1717551699836669952omplex B) Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex A) Z)) B)) Z))))))
% 13.98/14.26 (assume a2377 (forall ((V tptp.product_prod_nat_nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X tptp.nat)) (not (@ (@ tptp.vEBT_vebt_member (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat V)) (@ tptp.suc tptp.zero_zero_nat)) Vb) Vc)) X))))
% 13.98/14.26 (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.product_Pair_nat_nat Mi) Ma))) tptp.zero_zero_nat) TrLst2) Smry2)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) tptp.zero_zero_nat) TrLst2) Smry2))))
% 13.98/14.26 (assume a2379 (= (@ tptp.numeral_numeral_nat tptp.one) (@ tptp.suc tptp.zero_zero_nat)))
% 13.98/14.26 (assume a2380 (forall ((X22 tptp.num)) (= (@ tptp.size_size_num (@ tptp.bit0 X22)) (@ (@ tptp.plus_plus_nat (@ tptp.size_size_num X22)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2381 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (@ P N2) (=> (not (@ P tptp.zero_zero_nat)) (exists ((K2 tptp.nat)) (and (@ (@ tptp.ord_less_nat K2) N2) (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I) K2) (not (@ P I)))) (@ P (@ tptp.suc K2))))))))
% 13.98/14.26 (assume a2382 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) M) (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat N2) M))))))
% 13.98/14.26 (assume a2383 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) M) (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat M) N2))))))
% 13.98/14.26 (assume a2384 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) M) (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.times_times_nat M) N2))))))
% 13.98/14.26 (assume a2385 (forall ((N2 tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I2))) N2))))
% 13.98/14.26 (assume a2386 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.ord_less_nat K) (@ (@ tptp.power_power_nat N2) K)))))
% 13.98/14.26 (assume a2387 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.26 (assume a2388 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ P tptp.one_one_nat) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (=> (@ P N4) (@ P (@ tptp.suc N4))))) (@ P N2))))))
% 13.98/14.26 (assume a2389 (forall ((X tptp.real) (Xs2 tptp.list_real)) (=> (@ (@ tptp.member_real X) (@ tptp.set_real2 Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_size_list_real Xs2)))))
% 13.98/14.26 (assume a2390 (forall ((X tptp.complex) (Xs2 tptp.list_complex)) (=> (@ (@ tptp.member_complex X) (@ tptp.set_complex2 Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_s3451745648224563538omplex Xs2)))))
% 13.98/14.26 (assume a2391 (forall ((X tptp.product_prod_nat_nat) (Xs2 tptp.list_P6011104703257516679at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) (@ tptp.set_Pr5648618587558075414at_nat Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_s5460976970255530739at_nat Xs2)))))
% 13.98/14.26 (assume a2392 (forall ((X tptp.vEBT_VEBT) (Xs2 tptp.list_VEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X) (@ tptp.set_VEBT_VEBT2 Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_s6755466524823107622T_VEBT Xs2)))))
% 13.98/14.26 (assume a2393 (forall ((X Bool) (Xs2 tptp.list_o)) (=> (@ (@ tptp.member_o X) (@ tptp.set_o2 Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_size_list_o Xs2)))))
% 13.98/14.26 (assume a2394 (forall ((X tptp.nat) (Xs2 tptp.list_nat)) (=> (@ (@ tptp.member_nat X) (@ tptp.set_nat2 Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_size_list_nat Xs2)))))
% 13.98/14.26 (assume a2395 (forall ((X tptp.int) (Xs2 tptp.list_int)) (=> (@ (@ tptp.member_int X) (@ tptp.set_int2 Xs2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.size_size_list_int Xs2)))))
% 13.98/14.26 (assume a2396 (forall ((I2 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.suc tptp.zero_zero_nat)) I2) (@ (@ tptp.ord_less_eq_nat (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.power_power_nat I2) N2)))))
% 13.98/14.26 (assume a2397 (forall ((P (-> tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (= (@ P (@ (@ tptp.minus_minus_nat A) B)) (not (or (and (@ (@ tptp.ord_less_nat A) B) (not (@ P tptp.zero_zero_nat))) (exists ((D2 tptp.nat)) (and (= A (@ (@ tptp.plus_plus_nat B) D2)) (not (@ P D2)))))))))
% 13.98/14.26 (assume a2398 (forall ((P (-> tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (= (@ P (@ (@ tptp.minus_minus_nat A) B)) (and (=> (@ (@ tptp.ord_less_nat A) B) (@ P tptp.zero_zero_nat)) (forall ((D2 tptp.nat)) (=> (= A (@ (@ tptp.plus_plus_nat B) D2)) (@ P D2)))))))
% 13.98/14.26 (assume a2399 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.divide_divide_nat M) N2)) (and (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.26 (assume a2400 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.divide_divide_nat K) N2)) (@ (@ tptp.divide_divide_nat K) M))))))
% 13.98/14.26 (assume a2401 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (@ (@ tptp.divide_divide_nat M) N2)))))
% 13.98/14.26 (assume a2402 (forall ((Q2 tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) Q2) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.divide_divide_nat M) Q2)) N2) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.times_times_nat N2) Q2))))))
% 13.98/14.26 (assume a2403 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (= (= (@ (@ tptp.divide_divide_nat M) N2) M) (= N2 tptp.one_one_nat)))))
% 13.98/14.26 (assume a2404 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) N2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_nat (@ (@ tptp.divide_divide_nat M) N2)) M)))))
% 13.98/14.26 (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.suc tptp.zero_zero_nat)) Ts2) S3)) X) (@ (@ (@ (@ tptp.vEBT_Node Info) (@ tptp.suc tptp.zero_zero_nat)) Ts2) S3))))
% 13.98/14.26 (assume a2406 (forall ((X tptp.vEBT_VEBT)) (=> (forall ((A3 Bool) (B3 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.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2)))))))))
% 13.98/14.26 (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.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc tptp.zero_zero_nat)) Tr2) Sm2)) X) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi) Ma))) (@ tptp.suc tptp.zero_zero_nat)) Tr2) Sm2))))
% 13.98/14.26 (assume a2408 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (@ tptp.vEBT_vebt_mint X) Y) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (not (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A3) (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not 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.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2))) (not (= Y (@ tptp.some_nat Mi2)))))))))))
% 13.98/14.26 (assume a2409 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (@ tptp.vEBT_vebt_maxt X) Y) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (not (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not B3) (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not 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.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2))) (not (= Y (@ tptp.some_nat Ma2)))))))))))
% 13.98/14.26 (assume a2410 (forall ((A tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) C) (and (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) tptp.one_one_real)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.one_one_real) A))))))
% 13.98/14.26 (assume a2411 (forall ((A tptp.int) (C tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) C)) C) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) tptp.one_one_int)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int tptp.one_one_int) A))))))
% 13.98/14.26 (assume a2412 (forall ((C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real C) (@ (@ tptp.times_times_real B) C)) (and (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real tptp.one_one_real) B)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) tptp.one_one_real))))))
% 13.98/14.26 (assume a2413 (forall ((C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int C) (@ (@ tptp.times_times_int B) C)) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int tptp.one_one_int) B)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) tptp.one_one_int))))))
% 13.98/14.26 (assume a2414 (forall ((C tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real C) A)) C) (and (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real A) tptp.one_one_real)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.one_one_real) A))))))
% 13.98/14.26 (assume a2415 (forall ((C tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int C) A)) C) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int A) tptp.one_one_int)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int tptp.one_one_int) A))))))
% 13.98/14.26 (assume a2416 (forall ((C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real C) (@ (@ tptp.times_times_real C) B)) (and (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real tptp.one_one_real) B)) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) tptp.one_one_real))))))
% 13.98/14.26 (assume a2417 (forall ((C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int C) (@ (@ tptp.times_times_int C) B)) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_int tptp.one_one_int) B)) (=> (@ (@ tptp.ord_less_eq_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_int B) tptp.one_one_int))))))
% 13.98/14.26 (assume a2418 (forall ((A tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) C) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) A))))))
% 13.98/14.26 (assume a2419 (forall ((A tptp.int) (C tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A) C)) C) (and (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int A) tptp.one_one_int)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) A))))))
% 13.98/14.26 (assume a2420 (forall ((C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real C) (@ (@ tptp.times_times_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.one_one_real))))))
% 13.98/14.26 (assume a2421 (forall ((C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int C) (@ (@ tptp.times_times_int B) C)) (and (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) B)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int B) tptp.one_one_int))))))
% 13.98/14.26 (assume a2422 (forall ((C tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real C) A)) C) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) A))))))
% 13.98/14.26 (assume a2423 (forall ((C tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int C) A)) C) (and (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int A) tptp.one_one_int)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) A))))))
% 13.98/14.26 (assume a2424 (forall ((C tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real C) (@ (@ tptp.times_times_real C) B)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.one_one_real))))))
% 13.98/14.26 (assume a2425 (forall ((C tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int C) (@ (@ tptp.times_times_int C) B)) (and (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) C) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) B)) (=> (@ (@ tptp.ord_less_int C) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int B) tptp.one_one_int))))))
% 13.98/14.26 (assume a2426 (forall ((X tptp.real) (Y tptp.real)) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Z4) (=> (@ (@ tptp.ord_less_real Z4) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real Z4) X)) Y)))) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.26 (assume a2427 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real C) A)) (@ (@ tptp.divide_divide_real C) B)))))))
% 13.98/14.26 (assume a2428 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real Z) Y)) X) (@ (@ tptp.ord_less_eq_real Z) (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.26 (assume a2429 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.times_times_real Z) Y)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Y)) Z)))))
% 13.98/14.26 (assume a2430 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) B)))))
% 13.98/14.26 (assume a2431 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) C)) A) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.26 (assume a2432 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.divide_divide_real B) C)) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.26 (assume a2433 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) C)) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) B)))))
% 13.98/14.26 (assume a2434 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real C) A)) (@ (@ tptp.divide_divide_real C) B)))))))
% 13.98/14.26 (assume a2435 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) B)) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))))))
% 13.98/14.26 (assume a2436 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) C)) A) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) B)) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))))))
% 13.98/14.26 (assume a2437 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.divide_divide_real B) A)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real A) B)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) A))))))
% 13.98/14.26 (assume a2438 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) A)) tptp.one_one_real) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real B) A)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real A) B)) (= A tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2439 (forall ((X tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) A) (=> (@ (@ tptp.ord_less_eq_real Y) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) U) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) V) (=> (= (@ (@ tptp.plus_plus_real U) V) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real U) X)) (@ (@ tptp.times_times_real V) Y))) A))))))))
% 13.98/14.26 (assume a2440 (forall ((X tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) A) (=> (@ (@ tptp.ord_less_eq_int Y) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) U) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) V) (=> (= (@ (@ tptp.plus_plus_int U) V) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int U) X)) (@ (@ tptp.times_times_int V) Y))) A))))))))
% 13.98/14.26 (assume a2441 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real W)) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C)) B)) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))))
% 13.98/14.26 (assume a2442 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) C)) (@ tptp.numeral_numeral_real W)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C)) B)) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.numeral_numeral_real W)))))))))
% 13.98/14.26 (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.ord_less_eq_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real W) Z)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real W) Y))) (@ (@ tptp.times_times_real Y) Z))) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2444 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real A) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) (@ (@ tptp.power_power_real A) N2))) (@ (@ tptp.power_power_real A) N2))))))
% 13.98/14.26 (assume a2445 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat A) tptp.one_one_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat A) N2))) (@ (@ tptp.power_power_nat A) N2))))))
% 13.98/14.26 (assume a2446 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int A) tptp.one_one_int) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int A) N2))) (@ (@ tptp.power_power_int A) N2))))))
% 13.98/14.26 (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.ord_less_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real W) Z)) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real W) Y))) (@ (@ tptp.times_times_real Y) Z))) tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2448 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) (@ tptp.suc N2))) A)))))
% 13.98/14.26 (assume a2449 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.one_one_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) (@ tptp.suc N2))) A)))))
% 13.98/14.26 (assume a2450 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int A) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) (@ tptp.suc N2))) A)))))
% 13.98/14.26 (assume a2451 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real A) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) (@ tptp.suc N2))) tptp.one_one_real)))))
% 13.98/14.26 (assume a2452 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat A) tptp.one_one_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) (@ tptp.suc N2))) tptp.one_one_nat)))))
% 13.98/14.26 (assume a2453 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int A) tptp.one_one_int) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) (@ tptp.suc N2))) tptp.one_one_int)))))
% 13.98/14.26 (assume a2454 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real A) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) N3)) (@ (@ tptp.power_power_real A) N2)))))))
% 13.98/14.26 (assume a2455 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat A) tptp.one_one_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat A) N3)) (@ (@ tptp.power_power_nat A) N2)))))))
% 13.98/14.26 (assume a2456 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int A) tptp.one_one_int) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) N3)) (@ (@ tptp.power_power_int A) N2)))))))
% 13.98/14.26 (assume a2457 (= (@ (@ tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_z5237406670263579293d_enat))
% 13.98/14.26 (assume a2458 (= (@ (@ tptp.power_power_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 13.98/14.26 (assume a2459 (= (@ (@ tptp.power_power_real tptp.zero_zero_real) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_real))
% 13.98/14.26 (assume a2460 (= (@ (@ tptp.power_power_int tptp.zero_zero_int) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 13.98/14.26 (assume a2461 (= (@ (@ tptp.power_power_complex tptp.zero_zero_complex) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_complex))
% 13.98/14.26 (assume a2462 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N3)) (@ (@ tptp.power_power_real A) N2)))))))
% 13.98/14.26 (assume a2463 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.one_one_nat) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat A) N3)) (@ (@ tptp.power_power_nat A) N2)))))))
% 13.98/14.26 (assume a2464 (forall ((N2 tptp.nat) (N3 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_eq_int A) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N3)) (@ (@ tptp.power_power_int A) N2)))))))
% 13.98/14.26 (assume a2465 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.power_power_real A) N2))))))
% 13.98/14.26 (assume a2466 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_nat A) (@ (@ tptp.power_power_nat A) N2))))))
% 13.98/14.26 (assume a2467 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.one_one_int) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int A) N2))))))
% 13.98/14.26 (assume a2468 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.power_power_real A) N2))))))
% 13.98/14.26 (assume a2469 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat A) N2))))))
% 13.98/14.26 (assume a2470 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.power_power_int A) N2))))))
% 13.98/14.26 (assume a2471 (= (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)) (@ tptp.suc (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.26 (assume a2472 (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))
% 13.98/14.26 (assume a2473 (forall ((A tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.power_power_nat A) (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)))))))
% 13.98/14.26 (assume a2474 (forall ((A tptp.real) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.power_power_real A) (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real A) M)) (@ (@ tptp.power_power_real A) N2)))))))
% 13.98/14.26 (assume a2475 (forall ((A tptp.int) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.power_power_int A) (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.divide_divide_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)))))))
% 13.98/14.26 (assume a2476 (forall ((A tptp.complex) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.power_power_complex A) (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.power_power_complex A) M)) (@ (@ tptp.power_power_complex A) N2)))))))
% 13.98/14.26 (assume a2477 (forall ((A tptp.code_integer) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.power_8256067586552552935nteger A) (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.power_8256067586552552935nteger A) M)) (@ (@ tptp.power_8256067586552552935nteger A) N2)))))))
% 13.98/14.26 (assume a2478 (= tptp.divide_divide_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (or (@ (@ tptp.ord_less_nat M6) N) (= N tptp.zero_zero_nat))) tptp.zero_zero_nat) (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat M6) N)) N))))))
% 13.98/14.26 (assume a2479 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (not (@ (@ tptp.ord_less_nat M) N2)) (= (@ (@ tptp.divide_divide_nat M) N2) (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat M) N2)) N2)))))))
% 13.98/14.26 (assume a2480 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.minus_minus_nat (@ tptp.suc M)) N2) (@ (@ tptp.minus_minus_nat M) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))))))
% 13.98/14.26 (assume a2481 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= N2 (@ tptp.suc (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))))))
% 13.98/14.26 (assume a2482 (forall ((Q2 tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) Q2) (= (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.divide_divide_nat N2) Q2)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat M) Q2)) N2)))))
% 13.98/14.26 (assume a2483 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.plus_plus_nat N2) (@ (@ tptp.times_times_nat N2) (@ (@ tptp.divide_divide_nat M) N2)))))))
% 13.98/14.26 (assume a2484 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.plus_plus_nat N2) (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat M) N2)) N2))))))
% 13.98/14.26 (assume a2485 (forall ((P (-> tptp.nat Bool)) (M tptp.nat) (N2 tptp.nat)) (= (@ P (@ (@ tptp.divide_divide_nat M) N2)) (and (=> (= N2 tptp.zero_zero_nat) (@ P tptp.zero_zero_nat)) (=> (not (= N2 tptp.zero_zero_nat)) (forall ((I5 tptp.nat) (J3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat J3) N2) (=> (= M (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N2) I5)) J3)) (@ P I5)))))))))
% 13.98/14.26 (assume a2486 (= tptp.plus_plus_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (= M6 tptp.zero_zero_nat)) N) (@ tptp.suc (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)) N))))))
% 13.98/14.26 (assume a2487 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_V5719532721284313246member X) Xa2) Y) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (= Y (not (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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))) Y) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((S2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2))) (= Y (not (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))
% 13.98/14.26 (assume a2488 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ tptp.vEBT_V5719532721284313246member X) Xa2) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) B3) (= Xa2 tptp.one_one_nat))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((S2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2))) (not (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))
% 13.98/14.26 (assume a2489 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_V5719532721284313246member X) Xa2)) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((S2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2))) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))
% 13.98/14.26 (assume a2490 (= tptp.times_times_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (= M6 tptp.zero_zero_nat)) tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat N) (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)) N))))))
% 13.98/14.26 (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)))
% 13.98/14.26 (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)))
% 13.98/14.26 (assume a2493 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_VEBT_membermima X) Xa2) Y) (=> (=> (exists ((Uu2 Bool) (Uv2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2))) 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))) 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.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) Va3) Vb2))) (= Y (not (or (= Xa2 Mi2) (= Xa2 Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2))) (= Y (not (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2))) (= Y (not (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))
% 13.98/14.26 (assume a2494 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_VEBT_membermima X) Xa2)) (=> (forall ((Uu2 Bool) (Uv2 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.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) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2))) (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2))) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))
% 13.98/14.26 (assume a2495 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real W)) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C)) B)) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))))
% 13.98/14.26 (assume a2496 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) C)) (@ tptp.numeral_numeral_real W)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) C)) B)) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.numeral_numeral_real W)))))))))
% 13.98/14.26 (assume a2497 (forall ((X tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (@ (@ tptp.ord_less_real X) A) (=> (@ (@ tptp.ord_less_real Y) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) U) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) V) (=> (= (@ (@ tptp.plus_plus_real U) V) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real U) X)) (@ (@ tptp.times_times_real V) Y))) A))))))))
% 13.98/14.26 (assume a2498 (forall ((X tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V tptp.int)) (=> (@ (@ tptp.ord_less_int X) A) (=> (@ (@ tptp.ord_less_int Y) A) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) U) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) V) (=> (= (@ (@ tptp.plus_plus_int U) V) tptp.one_one_int) (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int U) X)) (@ (@ tptp.times_times_int V) Y))) A))))))))
% 13.98/14.26 (assume a2499 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real A) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))
% 13.98/14.26 (assume a2500 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real A) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a2501 (forall ((U tptp.real) (V tptp.real) (R tptp.real) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real U) V) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) R) (=> (@ (@ tptp.ord_less_eq_real R) S3) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real U) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real R) (@ (@ tptp.minus_minus_real V) U))) S3))) V))))))
% 13.98/14.26 (assume a2502 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real X) Y)))))
% 13.98/14.26 (assume a2503 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_nat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) Y) (@ (@ tptp.ord_less_eq_nat X) Y)))))
% 13.98/14.26 (assume a2504 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (@ (@ tptp.ord_less_eq_int X) Y)))))
% 13.98/14.26 (assume a2505 (forall ((X tptp.real) (Y tptp.real)) (=> (= (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= X Y))))))
% 13.98/14.26 (assume a2506 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.power_power_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_nat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) X) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) Y) (= X Y))))))
% 13.98/14.26 (assume a2507 (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (= X Y))))))
% 13.98/14.26 (assume a2508 (forall ((A tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a2509 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.26 (assume a2510 (forall ((A tptp.real)) (not (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2511 (forall ((A tptp.int)) (not (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2512 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2)) tptp.zero_zero_nat)) (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2513 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2)) tptp.zero_zero_int)) (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2514 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2)) tptp.zero_zero_nat)) (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2515 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2)) tptp.zero_zero_int)) (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2516 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_nat)) (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)) tptp.zero_zero_nat)))))
% 13.98/14.26 (assume a2517 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_int)) (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2518 (forall ((A tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat A) (@ (@ tptp.minus_minus_nat M) N2)))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.divide_divide_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat A) (@ (@ tptp.minus_minus_nat N2) M)))))))))
% 13.98/14.26 (assume a2519 (forall ((A tptp.int) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int A) (@ (@ tptp.minus_minus_nat M) N2)))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ (@ tptp.power_power_int A) (@ (@ tptp.minus_minus_nat N2) M)))))))))
% 13.98/14.26 (assume a2520 (forall ((A tptp.code_integer) (N2 tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.power_8256067586552552935nteger A) M)) (@ (@ tptp.power_8256067586552552935nteger A) N2)) (@ (@ tptp.power_8256067586552552935nteger A) (@ (@ tptp.minus_minus_nat M) N2)))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.power_8256067586552552935nteger A) M)) (@ (@ tptp.power_8256067586552552935nteger A) N2)) (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) (@ (@ tptp.power_8256067586552552935nteger A) (@ (@ tptp.minus_minus_nat N2) M)))))))))
% 13.98/14.26 (assume a2521 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (or (= N2 tptp.zero_zero_nat) (= N2 (@ tptp.suc tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a2522 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (or (= N2 tptp.zero_zero_nat) (= N2 (@ tptp.suc tptp.zero_zero_nat))))))
% 13.98/14.26 (assume a2523 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (@ P tptp.zero_zero_nat) (=> (@ P tptp.one_one_nat) (=> (forall ((N4 tptp.nat)) (=> (@ P N4) (@ P (@ (@ tptp.plus_plus_nat N4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ P N2))))))
% 13.98/14.26 (assume a2524 (= tptp.power_8040749407984259932d_enat (lambda ((P4 tptp.extended_enat) (M6 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= M6 tptp.zero_zero_nat)) tptp.one_on7984719198319812577d_enat) (@ (@ tptp.times_7803423173614009249d_enat P4) (@ (@ tptp.power_8040749407984259932d_enat P4) (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 13.98/14.26 (assume a2525 (= tptp.power_power_complex (lambda ((P4 tptp.complex) (M6 tptp.nat)) (@ (@ (@ tptp.if_complex (= M6 tptp.zero_zero_nat)) tptp.one_one_complex) (@ (@ tptp.times_times_complex P4) (@ (@ tptp.power_power_complex P4) (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 13.98/14.26 (assume a2526 (= tptp.power_power_real (lambda ((P4 tptp.real) (M6 tptp.nat)) (@ (@ (@ tptp.if_real (= M6 tptp.zero_zero_nat)) tptp.one_one_real) (@ (@ tptp.times_times_real P4) (@ (@ tptp.power_power_real P4) (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 13.98/14.26 (assume a2527 (= tptp.power_power_nat (lambda ((P4 tptp.nat) (M6 tptp.nat)) (@ (@ (@ tptp.if_nat (= M6 tptp.zero_zero_nat)) tptp.one_one_nat) (@ (@ tptp.times_times_nat P4) (@ (@ tptp.power_power_nat P4) (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 13.98/14.26 (assume a2528 (= tptp.power_power_int (lambda ((P4 tptp.int) (M6 tptp.nat)) (@ (@ (@ tptp.if_int (= M6 tptp.zero_zero_nat)) tptp.one_one_int) (@ (@ tptp.times_times_int P4) (@ (@ tptp.power_power_int P4) (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 13.98/14.26 (assume a2529 (forall ((N2 tptp.nat) (A tptp.complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex A) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))) A) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.26 (assume a2530 (forall ((N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real A) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))) A) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.26 (assume a2531 (forall ((N2 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat A) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))) A) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.26 (assume a2532 (forall ((N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int A) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))) A) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.26 (assume a2533 (forall ((P (-> tptp.nat Bool)) (M tptp.nat) (N2 tptp.nat)) (= (@ P (@ (@ tptp.divide_divide_nat M) N2)) (or (and (= N2 tptp.zero_zero_nat) (@ P tptp.zero_zero_nat)) (exists ((Q4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat N2) Q4)) M) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.times_times_nat N2) (@ tptp.suc Q4))) (@ P Q4)))))))
% 13.98/14.26 (assume a2534 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.divide_divide_nat M) N2) (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat M) N2)) N2)))))))
% 13.98/14.26 (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.suc tptp.zero_zero_nat)) Vh2) Vi2)) Vj2) tptp.none_nat)))
% 13.98/14.26 (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.suc tptp.zero_zero_nat)) Vg2) Vh2)) Vi2) tptp.none_nat)))
% 13.98/14.26 (assume a2537 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_real X) Y)))))
% 13.98/14.26 (assume a2538 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_nat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) Y) (@ (@ tptp.ord_less_nat X) Y)))))
% 13.98/14.26 (assume a2539 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (@ (@ tptp.ord_less_int X) Y)))))
% 13.98/14.26 (assume a2540 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 13.98/14.26 (assume a2541 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2542 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a2543 (forall ((X tptp.int) (Y tptp.int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a2544 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (or (not (= X tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 13.98/14.26 (assume a2545 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (or (not (= X tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 13.98/14.26 (assume a2546 (forall ((X tptp.real) (Y tptp.real)) (not (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2547 (forall ((X tptp.int) (Y tptp.int)) (not (@ (@ tptp.ord_less_int (@ (@ tptp.plus_plus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2548 (forall ((A tptp.real) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.26 (assume a2549 (forall ((A tptp.int) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.26 (assume a2550 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat)) (=> (@ P tptp.zero_zero_nat) (=> (forall ((N4 tptp.nat)) (=> (@ P N4) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (@ P (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N4))))) (=> (forall ((N4 tptp.nat)) (=> (@ P N4) (@ P (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N4))))) (@ P N2))))))
% 13.98/14.26 (assume a2551 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.divide_divide_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a2552 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.26 (assume a2553 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ tptp.vEBT_vebt_member X) Xa2) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) B3) (= Xa2 tptp.one_one_nat))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (and (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))))
% 13.98/14.26 (assume a2554 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_vebt_member X) Xa2) Y) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (= Y (not (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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))) 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))) 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.suc tptp.zero_zero_nat)) Vb2) Vc2))) Y) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (= Y (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (and (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))))))))
% 13.98/14.26 (assume a2555 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_vebt_member X) Xa2)) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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.suc tptp.zero_zero_nat)) Vb2) Vc2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (and (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))))))
% 13.98/14.26 (assume a2556 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 13.98/14.26 (assume a2557 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))
% 13.98/14.26 (assume a2558 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) tptp.zero_zero_real))))
% 13.98/14.26 (assume a2559 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2560 (forall ((X tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat N2) M))) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high X) N2)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))))))
% 13.98/14.26 (assume a2561 (forall ((X tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat N2) M))) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_low X) N2)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))))
% 13.98/14.26 (assume a2562 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ 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.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) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2))) (not (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))))))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2))) (not (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))))))))))))
% 13.98/14.26 (assume a2563 (forall ((U tptp.real) (X tptp.real) (Y tptp.real)) (=> (= (@ (@ tptp.power_power_real U) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_real X) Y)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real U) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) Y)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.26 (assume a2564 (= tptp.vEBT_invar_vebt (lambda ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (or (and (exists ((A4 Bool) (B4 Bool)) (= A1 (@ (@ tptp.vEBT_Leaf A4) B4))) (= A22 (@ tptp.suc tptp.zero_zero_nat))) (exists ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) A22) TreeList) Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (@ (@ tptp.vEBT_invar_vebt X2) N))) (@ (@ tptp.vEBT_invar_vebt Summary3) N) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (= A22 (@ (@ tptp.plus_plus_nat N) N)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary3) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (exists ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) A22) TreeList) Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (@ (@ tptp.vEBT_invar_vebt X2) N))) (@ (@ tptp.vEBT_invar_vebt Summary3) (@ tptp.suc N)) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc N))) (= A22 (@ (@ tptp.plus_plus_nat N) (@ tptp.suc N))) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary3) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (exists ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi3) Ma3))) A22) TreeList) Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (@ (@ tptp.vEBT_invar_vebt X2) N))) (@ (@ tptp.vEBT_invar_vebt Summary3) N) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (= A22 (@ (@ tptp.plus_plus_nat N) N)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary3) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A22)) (=> (not (= Mi3 Ma3)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high Ma3) N) I5) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) I5)) (@ (@ tptp.vEBT_VEBT_low Ma3) N))) (forall ((X2 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high X2) N) I5) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) I5)) (@ (@ tptp.vEBT_VEBT_low X2) N))) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3)))))))))) (exists ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi3) Ma3))) A22) TreeList) Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (@ (@ tptp.vEBT_invar_vebt X2) N))) (@ (@ tptp.vEBT_invar_vebt Summary3) (@ tptp.suc N)) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc N))) (= A22 (@ (@ tptp.plus_plus_nat N) (@ tptp.suc N))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc N))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary3) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A22)) (=> (not (= Mi3 Ma3)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc N))) (and (=> (= (@ (@ tptp.vEBT_VEBT_high Ma3) N) I5) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) I5)) (@ (@ tptp.vEBT_VEBT_low Ma3) N))) (forall ((X2 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high X2) N) I5) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList) I5)) (@ (@ tptp.vEBT_VEBT_low X2) N))) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))))))
% 13.98/14.26 (assume a2565 (forall ((A12 tptp.vEBT_VEBT) (A23 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt A12) A23) (=> (=> (exists ((A3 Bool) (B3 Bool)) (= A12 (@ (@ tptp.vEBT_Leaf A3) B3))) (not (= A23 (@ tptp.suc tptp.zero_zero_nat)))) (=> (forall ((TreeList3 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat)) (=> (= A12 (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) Summary2)) (=> (= A23 Deg2) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_invar_vebt X3) N4))) (=> (@ (@ tptp.vEBT_invar_vebt Summary2) M5) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (=> (= M5 N4) (=> (= Deg2 (@ (@ tptp.plus_plus_nat N4) M5)) (=> (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X_12))) (not (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12))))))))))))))) (=> (forall ((TreeList3 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat)) (=> (= A12 (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) Summary2)) (=> (= A23 Deg2) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_invar_vebt X3) N4))) (=> (@ (@ tptp.vEBT_invar_vebt Summary2) M5) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (=> (= M5 (@ tptp.suc N4)) (=> (= Deg2 (@ (@ tptp.plus_plus_nat N4) M5)) (=> (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X_12))) (not (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12))))))))))))))) (=> (forall ((TreeList3 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A12 (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) Deg2) TreeList3) Summary2)) (=> (= A23 Deg2) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_invar_vebt X3) N4))) (=> (@ (@ tptp.vEBT_invar_vebt Summary2) M5) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (=> (= M5 N4) (=> (= Deg2 (@ (@ tptp.plus_plus_nat N4) M5)) (=> (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I)))) (=> (=> (= Mi2 Ma2) (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12)))))) (=> (@ (@ tptp.ord_less_eq_nat Mi2) Ma2) (=> (@ (@ tptp.ord_less_nat Ma2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (not (=> (not (= Mi2 Ma2)) (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high Ma2) N4) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I)) (@ (@ tptp.vEBT_VEBT_low Ma2) N4))) (forall ((X3 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high X3) N4) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I)) (@ (@ tptp.vEBT_VEBT_low X3) N4))) (and (@ (@ tptp.ord_less_nat Mi2) X3) (@ (@ tptp.ord_less_eq_nat X3) Ma2))))))))))))))))))))) (not (forall ((TreeList3 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A12 (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) Deg2) TreeList3) Summary2)) (=> (= A23 Deg2) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_invar_vebt X3) N4))) (=> (@ (@ tptp.vEBT_invar_vebt Summary2) M5) (=> (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (=> (= M5 (@ tptp.suc N4)) (=> (= Deg2 (@ (@ tptp.plus_plus_nat N4) M5)) (=> (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I)))) (=> (=> (= Mi2 Ma2) (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X_12 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X3) X_12)))))) (=> (@ (@ tptp.ord_less_eq_nat Mi2) Ma2) (=> (@ (@ tptp.ord_less_nat Ma2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (not (=> (not (= Mi2 Ma2)) (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat I) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M5)) (and (=> (= (@ (@ tptp.vEBT_VEBT_high Ma2) N4) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I)) (@ (@ tptp.vEBT_VEBT_low Ma2) N4))) (forall ((X3 tptp.nat)) (=> (and (= (@ (@ tptp.vEBT_VEBT_high X3) N4) I) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I)) (@ (@ tptp.vEBT_VEBT_low X3) N4))) (and (@ (@ tptp.ord_less_nat Mi2) X3) (@ (@ tptp.ord_less_eq_nat X3) Ma2)))))))))))))))))))))))))))))
% 13.98/14.26 (assume a2566 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (@ (@ tptp.vEBT_vebt_insert X) Xa2) Y) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (@ (@ tptp.vEBT_Leaf true) B3))) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (= Y (@ (@ tptp.vEBT_Leaf A3) true))) (=> (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.suc tptp.zero_zero_nat)) Ts) S2)) (not (= Y (@ (@ (@ (@ tptp.vEBT_Node Info2) (@ tptp.suc tptp.zero_zero_nat)) Ts) S2))))) (=> (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc V2))) TreeList3) Summary2)) (not (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xa2) Xa2))) (@ tptp.suc (@ tptp.suc V2))) TreeList3) Summary2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (not (= Y (@ (@ (@ tptp.if_VEBT_VEBT (and (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (not (or (= Xa2 Mi2) (= Xa2 Ma2))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Xa2) Mi2)) (@ (@ tptp.ord_max_nat (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) Ma2)))) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_insert Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) Summary2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))))))))))))))
% 13.98/14.26 (assume a2567 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (@ (@ tptp.vEBT_vebt_delete X) Xa2) Y) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (= Xa2 tptp.zero_zero_nat) (not (= Y (@ (@ tptp.vEBT_Leaf false) B3)))))) (=> (forall ((A3 Bool)) (=> (exists ((B3 Bool)) (= X (@ (@ tptp.vEBT_Leaf A3) B3))) (=> (= Xa2 (@ tptp.suc tptp.zero_zero_nat)) (not (= Y (@ (@ tptp.vEBT_Leaf A3) false)))))) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (exists ((N4 tptp.nat)) (= Xa2 (@ tptp.suc (@ tptp.suc N4)))) (not (= Y (@ (@ tptp.vEBT_Leaf A3) B3)))))) (=> (forall ((Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) Summary2)) (not (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) 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.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) TrLst) Smry)) (not (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_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.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc tptp.zero_zero_nat)) Tr) Sm)) (not (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc tptp.zero_zero_nat)) Tr) Sm))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (not (and (=> (or (@ (@ tptp.ord_less_nat Xa2) Mi2) (@ (@ tptp.ord_less_nat Ma2) Xa2)) (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (=> (not (or (@ (@ tptp.ord_less_nat Xa2) Mi2) (@ (@ tptp.ord_less_nat Ma2) Xa2))) (and (=> (and (= Xa2 Mi2) (= Xa2 Ma2)) (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (=> (not (and (= Xa2 Mi2) (= Xa2 Ma2))) (= Y (@ (@ (@ tptp.if_VEBT_VEBT (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (@ (@ (@ tptp.if_nat (and (=> (= Xa2 Mi2) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2)))))) Ma2)) (=> (not (= Xa2 Mi2)) (= Xa2 Ma2)))) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))) Ma2)))) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (@ (@ (@ tptp.if_nat (and (=> (= Xa2 Mi2) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2)))))) Ma2)) (=> (not (= Xa2 Mi2)) (= Xa2 Ma2)))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) Ma2)))) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) Summary2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))))))))))))))))))))
% 13.98/14.26 (assume a2568 (forall ((Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Uu tptp.nat)) (= (@ (@ tptp.vEBT_vebt_delete (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg) TreeList2) Summary)) Uu) (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg) TreeList2) Summary))))
% 13.98/14.26 (assume a2569 (forall ((Uz tptp.product_prod_nat_nat) (Va tptp.nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT)) (not (@ tptp.vEBT_VEBT_minNull (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat Uz)) Va) Vb) Vc)))))
% 13.98/14.26 (assume a2570 (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (X tptp.nat)) (not (@ (@ tptp.vEBT_vebt_member (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Uu) Uv) Uw)) X))))
% 13.98/14.26 (assume a2571 (forall ((Uw tptp.nat) (Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT)) (@ tptp.vEBT_VEBT_minNull (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Uw) Ux) Uy))))
% 13.98/14.26 (assume a2572 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (@ (@ tptp.vEBT_vebt_succ X) Xa2) Y) (=> (forall ((Uu2 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uu2) B3)) (=> (= Xa2 tptp.zero_zero_nat) (not (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not B3) (= Y tptp.none_nat))))))) (=> (=> (exists ((Uv2 Bool) (Uw2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uv2) Uw2))) (=> (exists ((N4 tptp.nat)) (= Xa2 (@ tptp.suc N4))) (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.suc tptp.zero_zero_nat)) Vg) Vh))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (not (and (=> (@ (@ tptp.ord_less_nat Xa2) Mi2) (= Y (@ tptp.some_nat Mi2))) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (= Y (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_less (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_succ Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) tptp.none_nat) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_succ Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_succ Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))) tptp.none_nat))))))))))))))))
% 13.98/14.26 (assume a2573 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.vEBT_invar_vebt (@ tptp.vEBT_vebt_buildup N2)) N2))))
% 13.98/14.26 (assume a2574 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.vEBT_VEBT_set_vebt T)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat))))))
% 13.98/14.26 (assume a2575 (forall ((N2 tptp.nat)) (= (@ tptp.vEBT_VEBT_set_vebt (@ tptp.vEBT_vebt_buildup N2)) tptp.bot_bot_set_nat)))
% 13.98/14.26 (assume a2576 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se2793503036327961859nteger tptp.zero_zero_nat) A) (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 13.98/14.26 (assume a2577 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se7879613467334960850it_int tptp.zero_zero_nat) A) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))
% 13.98/14.26 (assume a2578 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se7882103937844011126it_nat tptp.zero_zero_nat) A) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.26 (assume a2579 (forall ((X tptp.set_nat)) (= (@ (@ tptp.ord_max_set_nat tptp.bot_bot_set_nat) X) X)))
% 13.98/14.26 (assume a2580 (forall ((X tptp.set_int)) (= (@ (@ tptp.ord_max_set_int tptp.bot_bot_set_int) X) X)))
% 13.98/14.26 (assume a2581 (forall ((X tptp.set_real)) (= (@ (@ tptp.ord_max_set_real tptp.bot_bot_set_real) X) X)))
% 13.98/14.26 (assume a2582 (forall ((X tptp.nat)) (= (@ (@ tptp.ord_max_nat tptp.bot_bot_nat) X) X)))
% 13.98/14.26 (assume a2583 (forall ((X tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat tptp.bot_bo4199563552545308370d_enat) X) X)))
% 13.98/14.26 (assume a2584 (forall ((X tptp.set_nat)) (= (@ (@ tptp.ord_max_set_nat X) tptp.bot_bot_set_nat) X)))
% 13.98/14.26 (assume a2585 (forall ((X tptp.set_int)) (= (@ (@ tptp.ord_max_set_int X) tptp.bot_bot_set_int) X)))
% 13.98/14.26 (assume a2586 (forall ((X tptp.set_real)) (= (@ (@ tptp.ord_max_set_real X) tptp.bot_bot_set_real) X)))
% 13.98/14.26 (assume a2587 (forall ((X tptp.nat)) (= (@ (@ tptp.ord_max_nat X) tptp.bot_bot_nat) X)))
% 13.98/14.26 (assume a2588 (forall ((X tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat X) tptp.bot_bo4199563552545308370d_enat) X)))
% 13.98/14.26 (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 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uu2) B3)) (=> (= Xa2 tptp.zero_zero_nat) (=> (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not 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 Bool) (Uw2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uv2) Uw2)) (forall ((N4 tptp.nat)) (=> (= Xa2 (@ tptp.suc N4)) (=> (= Y tptp.none_nat) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf Uv2) Uw2)) (@ tptp.suc N4))))))))) (=> (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.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.suc tptp.zero_zero_nat)) Vg) Vh)) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (and (=> (@ (@ tptp.ord_less_nat Xa2) Mi2) (= Y (@ tptp.some_nat Mi2))) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (= Y (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_less (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_succ (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_succ Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) tptp.none_nat) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_succ Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_succ Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ 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.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2))))))))))))))))
% 13.98/14.26 (assume a2590 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (= (@ (@ tptp.minus_minus_set_int A2) B2) tptp.bot_bot_set_int) (@ (@ tptp.ord_less_eq_set_int A2) B2))))
% 13.98/14.26 (assume a2591 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (= (@ (@ tptp.minus_minus_set_real A2) B2) tptp.bot_bot_set_real) (@ (@ tptp.ord_less_eq_set_real A2) B2))))
% 13.98/14.26 (assume a2592 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (= (@ (@ tptp.minus_minus_set_nat A2) B2) tptp.bot_bot_set_nat) (@ (@ tptp.ord_less_eq_set_nat A2) B2))))
% 13.98/14.26 (assume a2593 (forall ((A2 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int A2) tptp.bot_bot_set_int) (= A2 tptp.bot_bot_set_int))))
% 13.98/14.26 (assume a2594 (forall ((A2 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real A2) tptp.bot_bot_set_real) (= A2 tptp.bot_bot_set_real))))
% 13.98/14.26 (assume a2595 (forall ((A2 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat A2) tptp.bot_bot_set_nat) (= A2 tptp.bot_bot_set_nat))))
% 13.98/14.26 (assume a2596 (forall ((A2 tptp.set_int)) (@ (@ tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A2)))
% 13.98/14.26 (assume a2597 (forall ((A2 tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real tptp.bot_bot_set_real) A2)))
% 13.98/14.26 (assume a2598 (forall ((A2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A2)))
% 13.98/14.26 (assume a2599 (forall ((N2 tptp.nat) (X tptp.nat)) (not (@ (@ tptp.vEBT_VEBT_membermima (@ tptp.vEBT_vebt_buildup N2)) X))))
% 13.98/14.26 (assume a2600 (forall ((N2 tptp.nat) (X tptp.nat)) (not (@ (@ tptp.vEBT_V5719532721284313246member (@ tptp.vEBT_vebt_buildup N2)) X))))
% 13.98/14.26 (assume a2601 (forall ((A tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real A) A)))
% 13.98/14.26 (assume a2602 (forall ((A tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat A) A)))
% 13.98/14.26 (assume a2603 (forall ((A tptp.num)) (@ (@ tptp.ord_less_eq_num A) A)))
% 13.98/14.26 (assume a2604 (forall ((A tptp.nat)) (@ (@ tptp.ord_less_eq_nat A) A)))
% 13.98/14.26 (assume a2605 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int A) A)))
% 13.98/14.26 (assume a2606 (forall ((X tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real X) X)))
% 13.98/14.26 (assume a2607 (forall ((X tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat X) X)))
% 13.98/14.26 (assume a2608 (forall ((X tptp.num)) (@ (@ tptp.ord_less_eq_num X) X)))
% 13.98/14.26 (assume a2609 (forall ((X tptp.nat)) (@ (@ tptp.ord_less_eq_nat X) X)))
% 13.98/14.26 (assume a2610 (forall ((X tptp.int)) (@ (@ tptp.ord_less_eq_int X) X)))
% 13.98/14.26 (assume a2611 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (= A2 B2)))))
% 13.98/14.26 (assume a2612 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (= A2 B2)))))
% 13.98/14.26 (assume a2613 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (not (= A2 B2)) (@ (@ tptp.ord_less_set_real A2) B2)))))
% 13.98/14.26 (assume a2614 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (not (= A2 B2)) (@ (@ tptp.ord_less_set_nat A2) B2)))))
% 13.98/14.26 (assume a2615 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.member_int X5) B2))) (@ (@ tptp.ord_less_eq_set_int A2) B2))))
% 13.98/14.26 (assume a2616 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.member_complex X5) B2))) (@ (@ tptp.ord_le211207098394363844omplex A2) B2))))
% 13.98/14.26 (assume a2617 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X5) A2) (@ (@ tptp.member8440522571783428010at_nat X5) B2))) (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2))))
% 13.98/14.26 (assume a2618 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.member_real X5) B2))) (@ (@ tptp.ord_less_eq_set_real A2) B2))))
% 13.98/14.26 (assume a2619 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.member_nat X5) B2))) (@ (@ tptp.ord_less_eq_set_nat A2) B2))))
% 13.98/14.26 (assume a2620 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (=> (@ (@ tptp.ord_less_int K) L2) (= (@ (@ tptp.divide_divide_int K) L2) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2621 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int K) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_int L2) K) (= (@ (@ tptp.divide_divide_int K) L2) tptp.zero_zero_int)))))
% 13.98/14.26 (assume a2622 (forall ((N2 tptp.extended_enat)) (= (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N2) (not (= N2 tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a2623 (forall ((N2 tptp.extended_enat)) (= (@ (@ tptp.minus_3235023915231533773d_enat tptp.zero_z5237406670263579293d_enat) N2) tptp.zero_z5237406670263579293d_enat)))
% 13.98/14.26 (assume a2624 (forall ((N2 tptp.extended_enat)) (= (@ (@ tptp.minus_3235023915231533773d_enat N2) tptp.zero_z5237406670263579293d_enat) N2)))
% 13.98/14.26 (assume a2625 (forall ((X tptp.real)) (= (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real X) X))) (= X tptp.zero_zero_real))))
% 13.98/14.26 (assume a2626 (forall ((K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.divide_divide_int K) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 13.98/14.26 (assume a2627 (forall ((K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.divide_divide_int K) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.zero_zero_int) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 13.98/14.26 (assume a2628 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 13.98/14.26 (assume a2629 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) B)) C)))))
% 13.98/14.26 (assume a2630 (forall ((M tptp.extended_enat) (N2 tptp.extended_enat)) (= (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.times_7803423173614009249d_enat M) N2)) (and (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) M) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N2)))))
% 13.98/14.26 (assume a2631 (forall ((N2 tptp.extended_enat)) (not (@ (@ tptp.ord_le72135733267957522d_enat N2) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a2632 (forall ((M tptp.extended_enat) (N2 tptp.extended_enat)) (= (= (@ (@ tptp.plus_p3455044024723400733d_enat M) N2) tptp.zero_z5237406670263579293d_enat) (and (= M tptp.zero_z5237406670263579293d_enat) (= N2 tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.26 (assume a2633 (forall ((N2 tptp.extended_enat)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) N2)))
% 13.98/14.26 (assume a2634 (forall ((N2 tptp.extended_enat)) (= (@ (@ tptp.ord_le2932123472753598470d_enat N2) tptp.zero_z5237406670263579293d_enat) (= N2 tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.26 (assume a2635 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (exists ((M6 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat M6) N2) (@ P M6))) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ P X2))))))
% 13.98/14.26 (assume a2636 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (forall ((M6 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N2) (@ P M6))) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ P X2))))))
% 13.98/14.26 (assume a2637 (= (@ tptp.vEBT_vebt_buildup tptp.zero_zero_nat) (@ (@ tptp.vEBT_Leaf false) false)))
% 13.98/14.26 (assume a2638 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real Y) X) (= (@ (@ tptp.ord_less_eq_set_real X) Y) (= X Y)))))
% 13.98/14.26 (assume a2639 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat Y) X) (= (@ (@ tptp.ord_less_eq_set_nat X) Y) (= X Y)))))
% 13.98/14.26 (assume a2640 (forall ((Y tptp.num) (X tptp.num)) (=> (@ (@ tptp.ord_less_eq_num Y) X) (= (@ (@ tptp.ord_less_eq_num X) Y) (= X Y)))))
% 13.98/14.26 (assume a2641 (forall ((Y tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat Y) X) (= (@ (@ tptp.ord_less_eq_nat X) Y) (= X Y)))))
% 13.98/14.26 (assume a2642 (forall ((Y tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int Y) X) (= (@ (@ tptp.ord_less_eq_int X) Y) (= X Y)))))
% 13.98/14.26 (assume a2643 (forall ((X tptp.num) (Y tptp.num)) (=> (not (@ (@ tptp.ord_less_eq_num X) Y)) (@ (@ tptp.ord_less_eq_num Y) X))))
% 13.98/14.26 (assume a2644 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (@ (@ tptp.ord_less_eq_nat X) Y)) (@ (@ tptp.ord_less_eq_nat Y) X))))
% 13.98/14.26 (assume a2645 (forall ((X tptp.int) (Y tptp.int)) (=> (not (@ (@ tptp.ord_less_eq_int X) Y)) (@ (@ tptp.ord_less_eq_int Y) X))))
% 13.98/14.26 (assume a2646 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2647 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2648 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int (@ F A)) C))))))
% 13.98/14.26 (assume a2649 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2650 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2651 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int (@ F A)) C))))))
% 13.98/14.26 (assume a2652 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2653 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2654 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int (@ F A)) C))))))
% 13.98/14.26 (assume a2655 (forall ((A tptp.set_real) (B tptp.set_real) (F (-> tptp.set_real tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.set_real) (Y5 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2656 (forall ((A tptp.num) (F (-> tptp.num tptp.num)) (B tptp.num) (C tptp.num)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2657 (forall ((A tptp.nat) (F (-> tptp.num tptp.nat)) (B tptp.num) (C tptp.num)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2658 (forall ((A tptp.int) (F (-> tptp.num tptp.int)) (B tptp.num) (C tptp.num)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int A) (@ F C)))))))
% 13.98/14.26 (assume a2659 (forall ((A tptp.num) (F (-> tptp.nat tptp.num)) (B tptp.nat) (C tptp.nat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2660 (forall ((A tptp.nat) (F (-> tptp.nat tptp.nat)) (B tptp.nat) (C tptp.nat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2661 (forall ((A tptp.int) (F (-> tptp.nat tptp.int)) (B tptp.nat) (C tptp.nat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int A) (@ F C)))))))
% 13.98/14.26 (assume a2662 (forall ((A tptp.num) (F (-> tptp.int tptp.num)) (B tptp.int) (C tptp.int)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2663 (forall ((A tptp.nat) (F (-> tptp.int tptp.nat)) (B tptp.int) (C tptp.int)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2664 (forall ((A tptp.int) (F (-> tptp.int tptp.int)) (B tptp.int) (C tptp.int)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int A) (@ F C)))))))
% 13.98/14.26 (assume a2665 (forall ((A tptp.num) (F (-> tptp.set_real tptp.num)) (B tptp.set_real) (C tptp.set_real)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_eq_set_real B) C) (=> (forall ((X5 tptp.set_real) (Y5 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2666 (forall ((X tptp.num) (Y tptp.num)) (or (@ (@ tptp.ord_less_eq_num X) Y) (@ (@ tptp.ord_less_eq_num Y) X))))
% 13.98/14.26 (assume a2667 (forall ((X tptp.nat) (Y tptp.nat)) (or (@ (@ tptp.ord_less_eq_nat X) Y) (@ (@ tptp.ord_less_eq_nat Y) X))))
% 13.98/14.26 (assume a2668 (forall ((X tptp.int) (Y tptp.int)) (or (@ (@ tptp.ord_less_eq_int X) Y) (@ (@ tptp.ord_less_eq_int Y) X))))
% 13.98/14.26 (assume a2669 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (= X Y) (@ (@ tptp.ord_less_eq_set_real X) Y))))
% 13.98/14.26 (assume a2670 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (= X Y) (@ (@ tptp.ord_less_eq_set_nat X) Y))))
% 13.98/14.26 (assume a2671 (forall ((X tptp.num) (Y tptp.num)) (=> (= X Y) (@ (@ tptp.ord_less_eq_num X) Y))))
% 13.98/14.26 (assume a2672 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= X Y) (@ (@ tptp.ord_less_eq_nat X) Y))))
% 13.98/14.26 (assume a2673 (forall ((X tptp.int) (Y tptp.int)) (=> (= X Y) (@ (@ tptp.ord_less_eq_int X) Y))))
% 13.98/14.26 (assume a2674 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_eq_num (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2675 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_eq_nat (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2676 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_eq_int (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int (@ F A)) C))))))
% 13.98/14.26 (assume a2677 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_num (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2678 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2679 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_int (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int (@ F A)) C))))))
% 13.98/14.26 (assume a2680 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_num (@ F B)) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2681 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_nat (@ F B)) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2682 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int (@ F B)) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int (@ F A)) C))))))
% 13.98/14.26 (assume a2683 (forall ((A tptp.set_real) (B tptp.set_real) (F (-> tptp.set_real tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (@ (@ tptp.ord_less_eq_num (@ F B)) C) (=> (forall ((X5 tptp.set_real) (Y5 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num (@ F A)) C))))))
% 13.98/14.26 (assume a2684 (forall ((A tptp.num) (F (-> tptp.num tptp.num)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2685 (forall ((A tptp.num) (F (-> tptp.nat tptp.num)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_num A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2686 (forall ((A tptp.num) (F (-> tptp.int tptp.num)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_num A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_num A) (@ F C)))))))
% 13.98/14.26 (assume a2687 (forall ((A tptp.nat) (F (-> tptp.num tptp.nat)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_nat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2688 (forall ((A tptp.nat) (F (-> tptp.nat tptp.nat)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2689 (forall ((A tptp.nat) (F (-> tptp.int tptp.nat)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2690 (forall ((A tptp.int) (F (-> tptp.num tptp.int)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_int A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int A) (@ F C)))))))
% 13.98/14.26 (assume a2691 (forall ((A tptp.int) (F (-> tptp.nat tptp.int)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int A) (@ F C)))))))
% 13.98/14.26 (assume a2692 (forall ((A tptp.int) (F (-> tptp.int tptp.int)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_int A) (@ F C)))))))
% 13.98/14.26 (assume a2693 (forall ((A tptp.set_real) (F (-> tptp.num tptp.set_real)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_set_real A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_set_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_eq_set_real A) (@ F C)))))))
% 13.98/14.26 (assume a2694 (= (lambda ((Y4 tptp.set_real) (Z2 tptp.set_real)) (= Y4 Z2)) (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real A4) B4) (@ (@ tptp.ord_less_eq_set_real B4) A4)))))
% 13.98/14.26 (assume a2695 (= (lambda ((Y4 tptp.set_nat) (Z2 tptp.set_nat)) (= Y4 Z2)) (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat A4) B4) (@ (@ tptp.ord_less_eq_set_nat B4) A4)))))
% 13.98/14.26 (assume a2696 (= (lambda ((Y4 tptp.num) (Z2 tptp.num)) (= Y4 Z2)) (lambda ((A4 tptp.num) (B4 tptp.num)) (and (@ (@ tptp.ord_less_eq_num A4) B4) (@ (@ tptp.ord_less_eq_num B4) A4)))))
% 13.98/14.26 (assume a2697 (= (lambda ((Y4 tptp.nat) (Z2 tptp.nat)) (= Y4 Z2)) (lambda ((A4 tptp.nat) (B4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat A4) B4) (@ (@ tptp.ord_less_eq_nat B4) A4)))))
% 13.98/14.26 (assume a2698 (= (lambda ((Y4 tptp.int) (Z2 tptp.int)) (= Y4 Z2)) (lambda ((A4 tptp.int) (B4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int A4) B4) (@ (@ tptp.ord_less_eq_int B4) A4)))))
% 13.98/14.26 (assume a2699 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (@ (@ tptp.ord_less_eq_set_real B) A) (= A B)))))
% 13.98/14.26 (assume a2700 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (=> (@ (@ tptp.ord_less_eq_set_nat B) A) (= A B)))))
% 13.98/14.26 (assume a2701 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_eq_num B) A) (= A B)))))
% 13.98/14.26 (assume a2702 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat B) A) (= A B)))))
% 13.98/14.26 (assume a2703 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int B) A) (= A B)))))
% 13.98/14.26 (assume a2704 (forall ((B tptp.set_real) (A tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real B) A) (=> (@ (@ tptp.ord_less_eq_set_real C) B) (@ (@ tptp.ord_less_eq_set_real C) A)))))
% 13.98/14.26 (assume a2705 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B) A) (=> (@ (@ tptp.ord_less_eq_set_nat C) B) (@ (@ tptp.ord_less_eq_set_nat C) A)))))
% 13.98/14.26 (assume a2706 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num B) A) (=> (@ (@ tptp.ord_less_eq_num C) B) (@ (@ tptp.ord_less_eq_num C) A)))))
% 13.98/14.26 (assume a2707 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (=> (@ (@ tptp.ord_less_eq_nat C) B) (@ (@ tptp.ord_less_eq_nat C) A)))))
% 13.98/14.26 (assume a2708 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (=> (@ (@ tptp.ord_less_eq_int C) B) (@ (@ tptp.ord_less_eq_int C) A)))))
% 13.98/14.26 (assume a2709 (forall ((B tptp.set_real) (A tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real B) A) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (= A B)))))
% 13.98/14.26 (assume a2710 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B) A) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (= A B)))))
% 13.98/14.26 (assume a2711 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_eq_num B) A) (=> (@ (@ tptp.ord_less_eq_num A) B) (= A B)))))
% 13.98/14.26 (assume a2712 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (=> (@ (@ tptp.ord_less_eq_nat A) B) (= A B)))))
% 13.98/14.26 (assume a2713 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (=> (@ (@ tptp.ord_less_eq_int A) B) (= A B)))))
% 13.98/14.26 (assume a2714 (= (lambda ((Y4 tptp.set_real) (Z2 tptp.set_real)) (= Y4 Z2)) (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real B4) A4) (@ (@ tptp.ord_less_eq_set_real A4) B4)))))
% 13.98/14.26 (assume a2715 (= (lambda ((Y4 tptp.set_nat) (Z2 tptp.set_nat)) (= Y4 Z2)) (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat B4) A4) (@ (@ tptp.ord_less_eq_set_nat A4) B4)))))
% 13.98/14.26 (assume a2716 (= (lambda ((Y4 tptp.num) (Z2 tptp.num)) (= Y4 Z2)) (lambda ((A4 tptp.num) (B4 tptp.num)) (and (@ (@ tptp.ord_less_eq_num B4) A4) (@ (@ tptp.ord_less_eq_num A4) B4)))))
% 13.98/14.26 (assume a2717 (= (lambda ((Y4 tptp.nat) (Z2 tptp.nat)) (= Y4 Z2)) (lambda ((A4 tptp.nat) (B4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat B4) A4) (@ (@ tptp.ord_less_eq_nat A4) B4)))))
% 13.98/14.26 (assume a2718 (= (lambda ((Y4 tptp.int) (Z2 tptp.int)) (= Y4 Z2)) (lambda ((A4 tptp.int) (B4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int B4) A4) (@ (@ tptp.ord_less_eq_int A4) B4)))))
% 13.98/14.26 (assume a2719 (forall ((P (-> tptp.num tptp.num Bool)) (A tptp.num) (B tptp.num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B)))))
% 13.98/14.26 (assume a2720 (forall ((P (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B)))))
% 13.98/14.26 (assume a2721 (forall ((P (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B)))))
% 13.98/14.26 (assume a2722 (forall ((X tptp.set_real) (Y tptp.set_real) (Z tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (=> (@ (@ tptp.ord_less_eq_set_real Y) Z) (@ (@ tptp.ord_less_eq_set_real X) Z)))))
% 13.98/14.26 (assume a2723 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (=> (@ (@ tptp.ord_less_eq_set_nat Y) Z) (@ (@ tptp.ord_less_eq_set_nat X) Z)))))
% 13.98/14.26 (assume a2724 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X) Y) (=> (@ (@ tptp.ord_less_eq_num Y) Z) (@ (@ tptp.ord_less_eq_num X) Z)))))
% 13.98/14.26 (assume a2725 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) Y) (=> (@ (@ tptp.ord_less_eq_nat Y) Z) (@ (@ tptp.ord_less_eq_nat X) Z)))))
% 13.98/14.26 (assume a2726 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (=> (@ (@ tptp.ord_less_eq_int Y) Z) (@ (@ tptp.ord_less_eq_int X) Z)))))
% 13.98/14.26 (assume a2727 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (@ (@ tptp.ord_less_eq_set_real B) C) (@ (@ tptp.ord_less_eq_set_real A) C)))))
% 13.98/14.26 (assume a2728 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (=> (@ (@ tptp.ord_less_eq_set_nat B) C) (@ (@ tptp.ord_less_eq_set_nat A) C)))))
% 13.98/14.26 (assume a2729 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_eq_num B) C) (@ (@ tptp.ord_less_eq_num A) C)))))
% 13.98/14.26 (assume a2730 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat B) C) (@ (@ tptp.ord_less_eq_nat A) C)))))
% 13.98/14.26 (assume a2731 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int B) C) (@ (@ tptp.ord_less_eq_int A) C)))))
% 13.98/14.26 (assume a2732 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (=> (@ (@ tptp.ord_less_eq_set_real Y) X) (= X Y)))))
% 13.98/14.26 (assume a2733 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (=> (@ (@ tptp.ord_less_eq_set_nat Y) X) (= X Y)))))
% 13.98/14.26 (assume a2734 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X) Y) (=> (@ (@ tptp.ord_less_eq_num Y) X) (= X Y)))))
% 13.98/14.26 (assume a2735 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) Y) (=> (@ (@ tptp.ord_less_eq_nat Y) X) (= X Y)))))
% 13.98/14.26 (assume a2736 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (=> (@ (@ tptp.ord_less_eq_int Y) X) (= X Y)))))
% 13.98/14.26 (assume a2737 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (= B C) (@ (@ tptp.ord_less_eq_set_real A) C)))))
% 13.98/14.26 (assume a2738 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (=> (= B C) (@ (@ tptp.ord_less_eq_set_nat A) C)))))
% 13.98/14.26 (assume a2739 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (= B C) (@ (@ tptp.ord_less_eq_num A) C)))))
% 13.98/14.26 (assume a2740 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (= B C) (@ (@ tptp.ord_less_eq_nat A) C)))))
% 13.98/14.26 (assume a2741 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (= B C) (@ (@ tptp.ord_less_eq_int A) C)))))
% 13.98/14.26 (assume a2742 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (= A B) (=> (@ (@ tptp.ord_less_eq_set_real B) C) (@ (@ tptp.ord_less_eq_set_real A) C)))))
% 13.98/14.26 (assume a2743 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (= A B) (=> (@ (@ tptp.ord_less_eq_set_nat B) C) (@ (@ tptp.ord_less_eq_set_nat A) C)))))
% 13.98/14.26 (assume a2744 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (= A B) (=> (@ (@ tptp.ord_less_eq_num B) C) (@ (@ tptp.ord_less_eq_num A) C)))))
% 13.98/14.26 (assume a2745 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= A B) (=> (@ (@ tptp.ord_less_eq_nat B) C) (@ (@ tptp.ord_less_eq_nat A) C)))))
% 13.98/14.26 (assume a2746 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= A B) (=> (@ (@ tptp.ord_less_eq_int B) C) (@ (@ tptp.ord_less_eq_int A) C)))))
% 13.98/14.26 (assume a2747 (= (lambda ((Y4 tptp.set_real) (Z2 tptp.set_real)) (= Y4 Z2)) (lambda ((X2 tptp.set_real) (Y3 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real X2) Y3) (@ (@ tptp.ord_less_eq_set_real Y3) X2)))))
% 13.98/14.26 (assume a2748 (= (lambda ((Y4 tptp.set_nat) (Z2 tptp.set_nat)) (= Y4 Z2)) (lambda ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat X2) Y3) (@ (@ tptp.ord_less_eq_set_nat Y3) X2)))))
% 13.98/14.26 (assume a2749 (= (lambda ((Y4 tptp.num) (Z2 tptp.num)) (= Y4 Z2)) (lambda ((X2 tptp.num) (Y3 tptp.num)) (and (@ (@ tptp.ord_less_eq_num X2) Y3) (@ (@ tptp.ord_less_eq_num Y3) X2)))))
% 13.98/14.26 (assume a2750 (= (lambda ((Y4 tptp.nat) (Z2 tptp.nat)) (= Y4 Z2)) (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat X2) Y3) (@ (@ tptp.ord_less_eq_nat Y3) X2)))))
% 13.98/14.26 (assume a2751 (= (lambda ((Y4 tptp.int) (Z2 tptp.int)) (= Y4 Z2)) (lambda ((X2 tptp.int) (Y3 tptp.int)) (and (@ (@ tptp.ord_less_eq_int X2) Y3) (@ (@ tptp.ord_less_eq_int Y3) X2)))))
% 13.98/14.26 (assume a2752 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (=> (@ (@ tptp.ord_less_eq_num X) Y) (not (@ (@ tptp.ord_less_eq_num Y) Z))) (=> (=> (@ (@ tptp.ord_less_eq_num Y) X) (not (@ (@ tptp.ord_less_eq_num X) Z))) (=> (=> (@ (@ tptp.ord_less_eq_num X) Z) (not (@ (@ tptp.ord_less_eq_num Z) Y))) (=> (=> (@ (@ tptp.ord_less_eq_num Z) Y) (not (@ (@ tptp.ord_less_eq_num Y) X))) (=> (=> (@ (@ tptp.ord_less_eq_num Y) Z) (not (@ (@ tptp.ord_less_eq_num Z) X))) (not (=> (@ (@ tptp.ord_less_eq_num Z) X) (not (@ (@ tptp.ord_less_eq_num X) Y)))))))))))
% 13.98/14.26 (assume a2753 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (=> (@ (@ tptp.ord_less_eq_nat X) Y) (not (@ (@ tptp.ord_less_eq_nat Y) Z))) (=> (=> (@ (@ tptp.ord_less_eq_nat Y) X) (not (@ (@ tptp.ord_less_eq_nat X) Z))) (=> (=> (@ (@ tptp.ord_less_eq_nat X) Z) (not (@ (@ tptp.ord_less_eq_nat Z) Y))) (=> (=> (@ (@ tptp.ord_less_eq_nat Z) Y) (not (@ (@ tptp.ord_less_eq_nat Y) X))) (=> (=> (@ (@ tptp.ord_less_eq_nat Y) Z) (not (@ (@ tptp.ord_less_eq_nat Z) X))) (not (=> (@ (@ tptp.ord_less_eq_nat Z) X) (not (@ (@ tptp.ord_less_eq_nat X) Y)))))))))))
% 13.98/14.26 (assume a2754 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (=> (@ (@ tptp.ord_less_eq_int X) Y) (not (@ (@ tptp.ord_less_eq_int Y) Z))) (=> (=> (@ (@ tptp.ord_less_eq_int Y) X) (not (@ (@ tptp.ord_less_eq_int X) Z))) (=> (=> (@ (@ tptp.ord_less_eq_int X) Z) (not (@ (@ tptp.ord_less_eq_int Z) Y))) (=> (=> (@ (@ tptp.ord_less_eq_int Z) Y) (not (@ (@ tptp.ord_less_eq_int Y) X))) (=> (=> (@ (@ tptp.ord_less_eq_int Y) Z) (not (@ (@ tptp.ord_less_eq_int Z) X))) (not (=> (@ (@ tptp.ord_less_eq_int Z) X) (not (@ (@ tptp.ord_less_eq_int X) Y)))))))))))
% 13.98/14.26 (assume a2755 (forall ((A tptp.num) (B tptp.num)) (= (not (@ (@ tptp.ord_less_eq_num A) B)) (and (@ (@ tptp.ord_less_eq_num B) A) (not (= B A))))))
% 13.98/14.26 (assume a2756 (forall ((A tptp.nat) (B tptp.nat)) (= (not (@ (@ tptp.ord_less_eq_nat A) B)) (and (@ (@ tptp.ord_less_eq_nat B) A) (not (= B A))))))
% 13.98/14.26 (assume a2757 (forall ((A tptp.int) (B tptp.int)) (= (not (@ (@ tptp.ord_less_eq_int A) B)) (and (@ (@ tptp.ord_less_eq_int B) A) (not (= B A))))))
% 13.98/14.26 (assume a2758 (forall ((X tptp.real)) (exists ((Y5 tptp.real)) (@ (@ tptp.ord_less_real Y5) X))))
% 13.98/14.26 (assume a2759 (forall ((X tptp.int)) (exists ((Y5 tptp.int)) (@ (@ tptp.ord_less_int Y5) X))))
% 13.98/14.26 (assume a2760 (forall ((X tptp.real)) (exists ((X_1 tptp.real)) (@ (@ tptp.ord_less_real X) X_1))))
% 13.98/14.26 (assume a2761 (forall ((X tptp.nat)) (exists ((X_1 tptp.nat)) (@ (@ tptp.ord_less_nat X) X_1))))
% 13.98/14.26 (assume a2762 (forall ((X tptp.int)) (exists ((X_1 tptp.int)) (@ (@ tptp.ord_less_int X) X_1))))
% 13.98/14.26 (assume a2763 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (exists ((Z4 tptp.real)) (and (@ (@ tptp.ord_less_real X) Z4) (@ (@ tptp.ord_less_real Z4) Y))))))
% 13.98/14.26 (assume a2764 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2765 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2766 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2767 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2768 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2769 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (not (@ (@ tptp.ord_le72135733267957522d_enat B) A)))))
% 13.98/14.26 (assume a2770 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (not (@ (@ tptp.ord_less_real B) A)))))
% 13.98/14.26 (assume a2771 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (not (@ (@ tptp.ord_less_num B) A)))))
% 13.98/14.26 (assume a2772 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (not (@ (@ tptp.ord_less_nat B) A)))))
% 13.98/14.26 (assume a2773 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (not (@ (@ tptp.ord_less_int B) A)))))
% 13.98/14.26 (assume a2774 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A B) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (@ (@ tptp.ord_le72135733267957522d_enat A) C)))))
% 13.98/14.26 (assume a2775 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (= A B) (=> (@ (@ tptp.ord_less_real B) C) (@ (@ tptp.ord_less_real A) C)))))
% 13.98/14.26 (assume a2776 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (= A B) (=> (@ (@ tptp.ord_less_num B) C) (@ (@ tptp.ord_less_num A) C)))))
% 13.98/14.26 (assume a2777 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= A B) (=> (@ (@ tptp.ord_less_nat B) C) (@ (@ tptp.ord_less_nat A) C)))))
% 13.98/14.26 (assume a2778 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= A B) (=> (@ (@ tptp.ord_less_int B) C) (@ (@ tptp.ord_less_int A) C)))))
% 13.98/14.26 (assume a2779 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (= B C) (@ (@ tptp.ord_le72135733267957522d_enat A) C)))))
% 13.98/14.26 (assume a2780 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (= B C) (@ (@ tptp.ord_less_real A) C)))))
% 13.98/14.26 (assume a2781 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (=> (= B C) (@ (@ tptp.ord_less_num A) C)))))
% 13.98/14.26 (assume a2782 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (= B C) (@ (@ tptp.ord_less_nat A) C)))))
% 13.98/14.26 (assume a2783 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (= B C) (@ (@ tptp.ord_less_int A) C)))))
% 13.98/14.26 (assume a2784 (forall ((P (-> tptp.extended_enat Bool)) (A tptp.extended_enat)) (=> (forall ((X5 tptp.extended_enat)) (=> (forall ((Y2 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Y2) X5) (@ P Y2))) (@ P X5))) (@ P A))))
% 13.98/14.26 (assume a2785 (forall ((P (-> tptp.nat Bool)) (A tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (forall ((Y2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Y2) X5) (@ P Y2))) (@ P X5))) (@ P A))))
% 13.98/14.26 (assume a2786 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (not (@ (@ tptp.ord_le72135733267957522d_enat Y) X)) (= (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (= X Y)))))
% 13.98/14.26 (assume a2787 (forall ((Y tptp.real) (X tptp.real)) (=> (not (@ (@ tptp.ord_less_real Y) X)) (= (not (@ (@ tptp.ord_less_real X) Y)) (= X Y)))))
% 13.98/14.26 (assume a2788 (forall ((Y tptp.num) (X tptp.num)) (=> (not (@ (@ tptp.ord_less_num Y) X)) (= (not (@ (@ tptp.ord_less_num X) Y)) (= X Y)))))
% 13.98/14.26 (assume a2789 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat Y) X)) (= (not (@ (@ tptp.ord_less_nat X) Y)) (= X Y)))))
% 13.98/14.26 (assume a2790 (forall ((Y tptp.int) (X tptp.int)) (=> (not (@ (@ tptp.ord_less_int Y) X)) (= (not (@ (@ tptp.ord_less_int X) Y)) (= X Y)))))
% 13.98/14.26 (assume a2791 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (=> (not (= X Y)) (@ (@ tptp.ord_le72135733267957522d_enat Y) X)))))
% 13.98/14.26 (assume a2792 (forall ((X tptp.real) (Y tptp.real)) (=> (not (@ (@ tptp.ord_less_real X) Y)) (=> (not (= X Y)) (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a2793 (forall ((X tptp.num) (Y tptp.num)) (=> (not (@ (@ tptp.ord_less_num X) Y)) (=> (not (= X Y)) (@ (@ tptp.ord_less_num Y) X)))))
% 13.98/14.26 (assume a2794 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat X) Y)) (=> (not (= X Y)) (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a2795 (forall ((X tptp.int) (Y tptp.int)) (=> (not (@ (@ tptp.ord_less_int X) Y)) (=> (not (= X Y)) (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a2796 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (not (@ (@ tptp.ord_le72135733267957522d_enat A) B)))))
% 13.98/14.26 (assume a2797 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (not (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.26 (assume a2798 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (not (@ (@ tptp.ord_less_num A) B)))))
% 13.98/14.26 (assume a2799 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (not (@ (@ tptp.ord_less_nat A) B)))))
% 13.98/14.26 (assume a2800 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (not (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.26 (assume a2801 (forall ((A tptp.extended_enat)) (not (@ (@ tptp.ord_le72135733267957522d_enat A) A))))
% 13.98/14.26 (assume a2802 (forall ((A tptp.real)) (not (@ (@ tptp.ord_less_real A) A))))
% 13.98/14.26 (assume a2803 (forall ((A tptp.num)) (not (@ (@ tptp.ord_less_num A) A))))
% 13.98/14.26 (assume a2804 (forall ((A tptp.nat)) (not (@ (@ tptp.ord_less_nat A) A))))
% 13.98/14.26 (assume a2805 (forall ((A tptp.int)) (not (@ (@ tptp.ord_less_int A) A))))
% 13.98/14.26 (assume a2806 (= (lambda ((P2 (-> tptp.extended_enat Bool))) (exists ((X7 tptp.extended_enat)) (@ P2 X7))) (lambda ((P3 (-> tptp.extended_enat Bool))) (exists ((N tptp.extended_enat)) (and (@ P3 N) (forall ((M6 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat M6) N) (not (@ P3 M6)))))))))
% 13.98/14.26 (assume a2807 (= (lambda ((P2 (-> tptp.nat Bool))) (exists ((X7 tptp.nat)) (@ P2 X7))) (lambda ((P3 (-> tptp.nat Bool))) (exists ((N tptp.nat)) (and (@ P3 N) (forall ((M6 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M6) N) (not (@ P3 M6)))))))))
% 13.98/14.26 (assume a2808 (forall ((P (-> tptp.extended_enat tptp.extended_enat Bool)) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (forall ((A3 tptp.extended_enat) (B3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.extended_enat)) (@ (@ P A3) A3)) (=> (forall ((A3 tptp.extended_enat) (B3 tptp.extended_enat)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B))))))
% 13.98/14.26 (assume a2809 (forall ((P (-> tptp.real tptp.real Bool)) (A tptp.real) (B tptp.real)) (=> (forall ((A3 tptp.real) (B3 tptp.real)) (=> (@ (@ tptp.ord_less_real A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.real)) (@ (@ P A3) A3)) (=> (forall ((A3 tptp.real) (B3 tptp.real)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B))))))
% 13.98/14.26 (assume a2810 (forall ((P (-> tptp.num tptp.num Bool)) (A tptp.num) (B tptp.num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (@ (@ tptp.ord_less_num A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.num)) (@ (@ P A3) A3)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B))))))
% 13.98/14.26 (assume a2811 (forall ((P (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.nat)) (@ (@ P A3) A3)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B))))))
% 13.98/14.26 (assume a2812 (forall ((P (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (@ (@ tptp.ord_less_int A3) B3) (@ (@ P A3) B3))) (=> (forall ((A3 tptp.int)) (@ (@ P A3) A3)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (@ (@ P B3) A3) (@ (@ P A3) B3))) (@ (@ P A) B))))))
% 13.98/14.26 (assume a2813 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (@ (@ tptp.ord_le72135733267957522d_enat A) C)))))
% 13.98/14.26 (assume a2814 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real B) C) (@ (@ tptp.ord_less_real A) C)))))
% 13.98/14.26 (assume a2815 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (=> (@ (@ tptp.ord_less_num B) C) (@ (@ tptp.ord_less_num A) C)))))
% 13.98/14.26 (assume a2816 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_nat B) C) (@ (@ tptp.ord_less_nat A) C)))))
% 13.98/14.26 (assume a2817 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_int B) C) (@ (@ tptp.ord_less_int A) C)))))
% 13.98/14.26 (assume a2818 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (or (@ (@ tptp.ord_le72135733267957522d_enat Y) X) (= X Y)))))
% 13.98/14.26 (assume a2819 (forall ((X tptp.real) (Y tptp.real)) (= (not (@ (@ tptp.ord_less_real X) Y)) (or (@ (@ tptp.ord_less_real Y) X) (= X Y)))))
% 13.98/14.26 (assume a2820 (forall ((X tptp.num) (Y tptp.num)) (= (not (@ (@ tptp.ord_less_num X) Y)) (or (@ (@ tptp.ord_less_num Y) X) (= X Y)))))
% 13.98/14.26 (assume a2821 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (@ (@ tptp.ord_less_nat X) Y)) (or (@ (@ tptp.ord_less_nat Y) X) (= X Y)))))
% 13.98/14.26 (assume a2822 (forall ((X tptp.int) (Y tptp.int)) (= (not (@ (@ tptp.ord_less_int X) Y)) (or (@ (@ tptp.ord_less_int Y) X) (= X Y)))))
% 13.98/14.26 (assume a2823 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (=> (@ (@ tptp.ord_le72135733267957522d_enat C) B) (@ (@ tptp.ord_le72135733267957522d_enat C) A)))))
% 13.98/14.26 (assume a2824 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (=> (@ (@ tptp.ord_less_real C) B) (@ (@ tptp.ord_less_real C) A)))))
% 13.98/14.26 (assume a2825 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (=> (@ (@ tptp.ord_less_num C) B) (@ (@ tptp.ord_less_num C) A)))))
% 13.98/14.26 (assume a2826 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (=> (@ (@ tptp.ord_less_nat C) B) (@ (@ tptp.ord_less_nat C) A)))))
% 13.98/14.26 (assume a2827 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (=> (@ (@ tptp.ord_less_int C) B) (@ (@ tptp.ord_less_int C) A)))))
% 13.98/14.26 (assume a2828 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (not (= A B)))))
% 13.98/14.26 (assume a2829 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (not (= A B)))))
% 13.98/14.26 (assume a2830 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (not (= A B)))))
% 13.98/14.26 (assume a2831 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (not (= A B)))))
% 13.98/14.26 (assume a2832 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (not (= A B)))))
% 13.98/14.26 (assume a2833 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (not (= A B)))))
% 13.98/14.26 (assume a2834 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (not (= A B)))))
% 13.98/14.26 (assume a2835 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (not (= A B)))))
% 13.98/14.26 (assume a2836 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (not (= A B)))))
% 13.98/14.26 (assume a2837 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (not (= A B)))))
% 13.98/14.26 (assume a2838 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (@ (@ tptp.ord_le72135733267957522d_enat Y) X)))))
% 13.98/14.26 (assume a2839 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_real X) Y)) (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a2840 (forall ((X tptp.num) (Y tptp.num)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_num X) Y)) (@ (@ tptp.ord_less_num Y) X)))))
% 13.98/14.26 (assume a2841 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_nat X) Y)) (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a2842 (forall ((X tptp.int) (Y tptp.int)) (=> (not (= X Y)) (=> (not (@ (@ tptp.ord_less_int X) Y)) (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a2843 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (not (@ (@ tptp.ord_le72135733267957522d_enat Y) X)))))
% 13.98/14.26 (assume a2844 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (not (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a2845 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (not (@ (@ tptp.ord_less_num Y) X)))))
% 13.98/14.26 (assume a2846 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (not (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a2847 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (not (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a2848 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (= X Y)) (or (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (@ (@ tptp.ord_le72135733267957522d_enat Y) X)))))
% 13.98/14.26 (assume a2849 (forall ((X tptp.real) (Y tptp.real)) (= (not (= X Y)) (or (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a2850 (forall ((X tptp.num) (Y tptp.num)) (= (not (= X Y)) (or (@ (@ tptp.ord_less_num X) Y) (@ (@ tptp.ord_less_num Y) X)))))
% 13.98/14.26 (assume a2851 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (= X Y)) (or (@ (@ tptp.ord_less_nat X) Y) (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a2852 (forall ((X tptp.int) (Y tptp.int)) (= (not (= X Y)) (or (@ (@ tptp.ord_less_int X) Y) (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a2853 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (not (@ (@ tptp.ord_le72135733267957522d_enat B) A)))))
% 13.98/14.26 (assume a2854 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (not (@ (@ tptp.ord_less_real B) A)))))
% 13.98/14.26 (assume a2855 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (not (@ (@ tptp.ord_less_num B) A)))))
% 13.98/14.26 (assume a2856 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (not (@ (@ tptp.ord_less_nat B) A)))))
% 13.98/14.26 (assume a2857 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (not (@ (@ tptp.ord_less_int B) A)))))
% 13.98/14.26 (assume a2858 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (=> (@ (@ tptp.ord_le72135733267957522d_enat Y) Z) (@ (@ tptp.ord_le72135733267957522d_enat X) Z)))))
% 13.98/14.26 (assume a2859 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (=> (@ (@ tptp.ord_less_real Y) Z) (@ (@ tptp.ord_less_real X) Z)))))
% 13.98/14.26 (assume a2860 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (=> (@ (@ tptp.ord_less_num Y) Z) (@ (@ tptp.ord_less_num X) Z)))))
% 13.98/14.26 (assume a2861 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (=> (@ (@ tptp.ord_less_nat Y) Z) (@ (@ tptp.ord_less_nat X) Z)))))
% 13.98/14.26 (assume a2862 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (=> (@ (@ tptp.ord_less_int Y) Z) (@ (@ tptp.ord_less_int X) Z)))))
% 13.98/14.26 (assume a2863 (forall ((A tptp.extended_enat) (F (-> tptp.extended_enat tptp.extended_enat)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2864 (forall ((A tptp.real) (F (-> tptp.extended_enat tptp.real)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2865 (forall ((A tptp.num) (F (-> tptp.extended_enat tptp.num)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num A) (@ F C)))))))
% 13.98/14.26 (assume a2866 (forall ((A tptp.nat) (F (-> tptp.extended_enat tptp.nat)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2867 (forall ((A tptp.int) (F (-> tptp.extended_enat tptp.int)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int A) (@ F C)))))))
% 13.98/14.26 (assume a2868 (forall ((A tptp.extended_enat) (F (-> tptp.real tptp.extended_enat)) (B tptp.real) (C tptp.real)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2869 (forall ((A tptp.real) (F (-> tptp.real tptp.real)) (B tptp.real) (C tptp.real)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2870 (forall ((A tptp.num) (F (-> tptp.real tptp.num)) (B tptp.real) (C tptp.real)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num A) (@ F C)))))))
% 13.98/14.26 (assume a2871 (forall ((A tptp.nat) (F (-> tptp.real tptp.nat)) (B tptp.real) (C tptp.real)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat A) (@ F C)))))))
% 13.98/14.26 (assume a2872 (forall ((A tptp.int) (F (-> tptp.real tptp.int)) (B tptp.real) (C tptp.real)) (=> (= A (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int A) (@ F C)))))))
% 13.98/14.26 (assume a2873 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.26 (assume a2874 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.26 (assume a2875 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num (@ F A)) C))))))
% 13.98/14.26 (assume a2876 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2877 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int (@ F A)) C))))))
% 13.98/14.26 (assume a2878 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.26 (assume a2879 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.26 (assume a2880 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num (@ F A)) C))))))
% 13.98/14.26 (assume a2881 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2882 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int (@ F A)) C))))))
% 13.98/14.26 (assume a2883 (forall ((X tptp.extended_enat)) (not (@ (@ tptp.ord_le72135733267957522d_enat X) X))))
% 13.98/14.26 (assume a2884 (forall ((X tptp.real)) (not (@ (@ tptp.ord_less_real X) X))))
% 13.98/14.26 (assume a2885 (forall ((X tptp.num)) (not (@ (@ tptp.ord_less_num X) X))))
% 13.98/14.26 (assume a2886 (forall ((X tptp.nat)) (not (@ (@ tptp.ord_less_nat X) X))))
% 13.98/14.26 (assume a2887 (forall ((X tptp.int)) (not (@ (@ tptp.ord_less_int X) X))))
% 13.98/14.26 (assume a2888 (forall ((A tptp.extended_enat) (F (-> tptp.extended_enat tptp.extended_enat)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2889 (forall ((A tptp.extended_enat) (F (-> tptp.real tptp.extended_enat)) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2890 (forall ((A tptp.extended_enat) (F (-> tptp.num tptp.extended_enat)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2891 (forall ((A tptp.extended_enat) (F (-> tptp.nat tptp.extended_enat)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2892 (forall ((A tptp.extended_enat) (F (-> tptp.int tptp.extended_enat)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.26 (assume a2893 (forall ((A tptp.real) (F (-> tptp.extended_enat tptp.real)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2894 (forall ((A tptp.real) (F (-> tptp.real tptp.real)) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2895 (forall ((A tptp.real) (F (-> tptp.num tptp.real)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_less_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2896 (forall ((A tptp.real) (F (-> tptp.nat tptp.real)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_less_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2897 (forall ((A tptp.real) (F (-> tptp.int tptp.real)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_less_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.26 (assume a2898 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.26 (assume a2899 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_less_real (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.26 (assume a2900 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_less_num (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num (@ F A)) C))))))
% 13.98/14.26 (assume a2901 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_less_nat (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2902 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_less_int (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int (@ F A)) C))))))
% 13.98/14.26 (assume a2903 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.26 (assume a2904 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.26 (assume a2905 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_num (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num (@ F A)) C))))))
% 13.98/14.26 (assume a2906 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_nat (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat (@ F A)) C))))))
% 13.98/14.26 (assume a2907 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_int (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int (@ F A)) C))))))
% 13.98/14.26 (assume a2908 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (not (@ (@ tptp.ord_le72135733267957522d_enat Y) X)))))
% 13.98/14.26 (assume a2909 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (not (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a2910 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (not (@ (@ tptp.ord_less_num Y) X)))))
% 13.98/14.26 (assume a2911 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (not (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a2912 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (not (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a2913 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (P Bool)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (=> (@ (@ tptp.ord_le72135733267957522d_enat Y) X) P))))
% 13.98/14.26 (assume a2914 (forall ((X tptp.real) (Y tptp.real) (P Bool)) (=> (@ (@ tptp.ord_less_real X) Y) (=> (@ (@ tptp.ord_less_real Y) X) P))))
% 13.98/14.26 (assume a2915 (forall ((X tptp.num) (Y tptp.num) (P Bool)) (=> (@ (@ tptp.ord_less_num X) Y) (=> (@ (@ tptp.ord_less_num Y) X) P))))
% 13.98/14.26 (assume a2916 (forall ((X tptp.nat) (Y tptp.nat) (P Bool)) (=> (@ (@ tptp.ord_less_nat X) Y) (=> (@ (@ tptp.ord_less_nat Y) X) P))))
% 13.98/14.26 (assume a2917 (forall ((X tptp.int) (Y tptp.int) (P Bool)) (=> (@ (@ tptp.ord_less_int X) Y) (=> (@ (@ tptp.ord_less_int Y) X) P))))
% 13.98/14.26 (assume a2918 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (or (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (= X Y) (@ (@ tptp.ord_le72135733267957522d_enat Y) X))))
% 13.98/14.26 (assume a2919 (forall ((X tptp.real) (Y tptp.real)) (or (@ (@ tptp.ord_less_real X) Y) (= X Y) (@ (@ tptp.ord_less_real Y) X))))
% 13.98/14.26 (assume a2920 (forall ((X tptp.num) (Y tptp.num)) (or (@ (@ tptp.ord_less_num X) Y) (= X Y) (@ (@ tptp.ord_less_num Y) X))))
% 13.98/14.26 (assume a2921 (forall ((X tptp.nat) (Y tptp.nat)) (or (@ (@ tptp.ord_less_nat X) Y) (= X Y) (@ (@ tptp.ord_less_nat Y) X))))
% 13.98/14.26 (assume a2922 (forall ((X tptp.int) (Y tptp.int)) (or (@ (@ tptp.ord_less_int X) Y) (= X Y) (@ (@ tptp.ord_less_int Y) X))))
% 13.98/14.26 (assume a2923 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2924 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2925 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2926 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2927 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (not (= X Y)))))
% 13.98/14.26 (assume a2928 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (not (= Y X)))))
% 13.98/14.26 (assume a2929 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (not (= Y X)))))
% 13.98/14.26 (assume a2930 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (not (= Y X)))))
% 13.98/14.26 (assume a2931 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (not (= Y X)))))
% 13.98/14.26 (assume a2932 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (not (= Y X)))))
% 13.98/14.26 (assume a2933 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (not (@ (@ tptp.ord_le72135733267957522d_enat Y) X)))))
% 13.98/14.26 (assume a2934 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (not (@ (@ tptp.ord_less_real Y) X)))))
% 13.98/14.26 (assume a2935 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (not (@ (@ tptp.ord_less_num Y) X)))))
% 13.98/14.26 (assume a2936 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (not (@ (@ tptp.ord_less_nat Y) X)))))
% 13.98/14.26 (assume a2937 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (not (@ (@ tptp.ord_less_int Y) X)))))
% 13.98/14.26 (assume a2938 (= tptp.ord_less_eq_set_real (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (or (@ (@ tptp.ord_less_set_real A5) B5) (= A5 B5)))))
% 13.98/14.26 (assume a2939 (= tptp.ord_less_eq_set_nat (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (or (@ (@ tptp.ord_less_set_nat A5) B5) (= A5 B5)))))
% 13.98/14.26 (assume a2940 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.ord_less_set_real B2) C4) (@ (@ tptp.ord_less_set_real A2) C4)))))
% 13.98/14.26 (assume a2941 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.ord_less_set_nat B2) C4) (@ (@ tptp.ord_less_set_nat A2) C4)))))
% 13.98/14.26 (assume a2942 (= tptp.ord_less_set_real (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real A5) B5) (not (@ (@ tptp.ord_less_eq_set_real B5) A5))))))
% 13.98/14.26 (assume a2943 (= tptp.ord_less_set_nat (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat A5) B5) (not (@ (@ tptp.ord_less_eq_set_nat B5) A5))))))
% 13.98/14.26 (assume a2944 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real A2) B2) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (@ (@ tptp.ord_less_set_real A2) C4)))))
% 13.98/14.26 (assume a2945 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat A2) B2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) C4) (@ (@ tptp.ord_less_set_nat A2) C4)))))
% 13.98/14.26 (assume a2946 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real A2) B2) (@ (@ tptp.ord_less_eq_set_real A2) B2))))
% 13.98/14.26 (assume a2947 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat A2) B2) (@ (@ tptp.ord_less_eq_set_nat A2) B2))))
% 13.98/14.26 (assume a2948 (forall ((P (-> tptp.product_prod_nat_nat Bool)) (Q (-> tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat P)) (@ tptp.collec3392354462482085612at_nat Q)) (forall ((X2 tptp.product_prod_nat_nat)) (=> (@ P X2) (@ Q X2))))))
% 13.98/14.26 (assume a2949 (forall ((P (-> tptp.complex Bool)) (Q (-> tptp.complex Bool))) (= (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.collect_complex P)) (@ tptp.collect_complex Q)) (forall ((X2 tptp.complex)) (=> (@ P X2) (@ Q X2))))))
% 13.98/14.26 (assume a2950 (forall ((P (-> tptp.list_nat Bool)) (Q (-> tptp.list_nat Bool))) (= (@ (@ tptp.ord_le6045566169113846134st_nat (@ tptp.collect_list_nat P)) (@ tptp.collect_list_nat Q)) (forall ((X2 tptp.list_nat)) (=> (@ P X2) (@ Q X2))))))
% 13.98/14.26 (assume a2951 (forall ((P (-> tptp.real Bool)) (Q (-> tptp.real Bool))) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.collect_real P)) (@ tptp.collect_real Q)) (forall ((X2 tptp.real)) (=> (@ P X2) (@ Q X2))))))
% 13.98/14.26 (assume a2952 (forall ((P (-> tptp.nat Bool)) (Q (-> tptp.nat Bool))) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat P)) (@ tptp.collect_nat Q)) (forall ((X2 tptp.nat)) (=> (@ P X2) (@ Q X2))))))
% 13.98/14.26 (assume a2953 (= (lambda ((Y4 tptp.set_real) (Z2 tptp.set_real)) (= Y4 Z2)) (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real A5) B5) (@ (@ tptp.ord_less_eq_set_real B5) A5)))))
% 13.98/14.26 (assume a2954 (= (lambda ((Y4 tptp.set_nat) (Z2 tptp.set_nat)) (= Y4 Z2)) (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat A5) B5) (@ (@ tptp.ord_less_eq_set_nat B5) A5)))))
% 13.98/14.26 (assume a2955 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (@ (@ tptp.ord_less_eq_set_real A2) C4)))))
% 13.98/14.26 (assume a2956 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) C4) (@ (@ tptp.ord_less_eq_set_nat A2) C4)))))
% 13.98/14.26 (assume a2957 (forall ((P (-> tptp.product_prod_nat_nat Bool)) (Q (-> tptp.product_prod_nat_nat Bool))) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (@ P X5) (@ Q X5))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat P)) (@ tptp.collec3392354462482085612at_nat Q)))))
% 13.98/14.26 (assume a2958 (forall ((P (-> tptp.complex Bool)) (Q (-> tptp.complex Bool))) (=> (forall ((X5 tptp.complex)) (=> (@ P X5) (@ Q X5))) (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.collect_complex P)) (@ tptp.collect_complex Q)))))
% 13.98/14.26 (assume a2959 (forall ((P (-> tptp.list_nat Bool)) (Q (-> tptp.list_nat Bool))) (=> (forall ((X5 tptp.list_nat)) (=> (@ P X5) (@ Q X5))) (@ (@ tptp.ord_le6045566169113846134st_nat (@ tptp.collect_list_nat P)) (@ tptp.collect_list_nat Q)))))
% 13.98/14.26 (assume a2960 (forall ((P (-> tptp.real Bool)) (Q (-> tptp.real Bool))) (=> (forall ((X5 tptp.real)) (=> (@ P X5) (@ Q X5))) (@ (@ tptp.ord_less_eq_set_real (@ tptp.collect_real P)) (@ tptp.collect_real Q)))))
% 13.98/14.26 (assume a2961 (forall ((P (-> tptp.nat Bool)) (Q (-> tptp.nat Bool))) (=> (forall ((X5 tptp.nat)) (=> (@ P X5) (@ Q X5))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat P)) (@ tptp.collect_nat Q)))))
% 13.98/14.26 (assume a2962 (forall ((A2 tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real A2) A2)))
% 13.98/14.26 (assume a2963 (forall ((A2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat A2) A2)))
% 13.98/14.26 (assume a2964 (= tptp.ord_less_eq_set_int (lambda ((A5 tptp.set_int) (B5 tptp.set_int)) (forall ((T2 tptp.int)) (=> (@ (@ tptp.member_int T2) A5) (@ (@ tptp.member_int T2) B5))))))
% 13.98/14.27 (assume a2965 (= tptp.ord_le211207098394363844omplex (lambda ((A5 tptp.set_complex) (B5 tptp.set_complex)) (forall ((T2 tptp.complex)) (=> (@ (@ tptp.member_complex T2) A5) (@ (@ tptp.member_complex T2) B5))))))
% 13.98/14.27 (assume a2966 (= tptp.ord_le3146513528884898305at_nat (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (forall ((T2 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat T2) A5) (@ (@ tptp.member8440522571783428010at_nat T2) B5))))))
% 13.98/14.27 (assume a2967 (= tptp.ord_less_eq_set_real (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (forall ((T2 tptp.real)) (=> (@ (@ tptp.member_real T2) A5) (@ (@ tptp.member_real T2) B5))))))
% 13.98/14.27 (assume a2968 (= tptp.ord_less_eq_set_nat (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (forall ((T2 tptp.nat)) (=> (@ (@ tptp.member_nat T2) A5) (@ (@ tptp.member_nat T2) B5))))))
% 13.98/14.27 (assume a2969 (= tptp.ord_less_set_real (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real A5) B5) (not (= A5 B5))))))
% 13.98/14.27 (assume a2970 (= tptp.ord_less_set_nat (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat A5) B5) (not (= A5 B5))))))
% 13.98/14.27 (assume a2971 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (= A2 B2) (@ (@ tptp.ord_less_eq_set_real B2) A2))))
% 13.98/14.27 (assume a2972 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (= A2 B2) (@ (@ tptp.ord_less_eq_set_nat B2) A2))))
% 13.98/14.27 (assume a2973 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (= A2 B2) (@ (@ tptp.ord_less_eq_set_real A2) B2))))
% 13.98/14.27 (assume a2974 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (= A2 B2) (@ (@ tptp.ord_less_eq_set_nat A2) B2))))
% 13.98/14.27 (assume a2975 (= tptp.ord_less_eq_set_int (lambda ((A5 tptp.set_int) (B5 tptp.set_int)) (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) A5) (@ (@ tptp.member_int X2) B5))))))
% 13.98/14.27 (assume a2976 (= tptp.ord_le211207098394363844omplex (lambda ((A5 tptp.set_complex) (B5 tptp.set_complex)) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) A5) (@ (@ tptp.member_complex X2) B5))))))
% 13.98/14.27 (assume a2977 (= tptp.ord_le3146513528884898305at_nat (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (forall ((X2 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X2) A5) (@ (@ tptp.member8440522571783428010at_nat X2) B5))))))
% 13.98/14.27 (assume a2978 (= tptp.ord_less_eq_set_real (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (forall ((X2 tptp.real)) (=> (@ (@ tptp.member_real X2) A5) (@ (@ tptp.member_real X2) B5))))))
% 13.98/14.27 (assume a2979 (= tptp.ord_less_eq_set_nat (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) A5) (@ (@ tptp.member_nat X2) B5))))))
% 13.98/14.27 (assume a2980 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (= A2 B2) (not (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (not (@ (@ tptp.ord_less_eq_set_real B2) A2)))))))
% 13.98/14.27 (assume a2981 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (= A2 B2) (not (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (not (@ (@ tptp.ord_less_eq_set_nat B2) A2)))))))
% 13.98/14.27 (assume a2982 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real A2) B2) (not (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ (@ tptp.ord_less_eq_set_real B2) A2))))))
% 13.98/14.27 (assume a2983 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat A2) B2) (not (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ (@ tptp.ord_less_eq_set_nat B2) A2))))))
% 13.98/14.27 (assume a2984 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (@ (@ tptp.member_int C) A2) (@ (@ tptp.member_int C) B2)))))
% 13.98/14.27 (assume a2985 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (C tptp.complex)) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (@ (@ tptp.member_complex C) A2) (@ (@ tptp.member_complex C) B2)))))
% 13.98/14.27 (assume a2986 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat) (C tptp.product_prod_nat_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2) (=> (@ (@ tptp.member8440522571783428010at_nat C) A2) (@ (@ tptp.member8440522571783428010at_nat C) B2)))))
% 13.98/14.27 (assume a2987 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.member_real C) A2) (@ (@ tptp.member_real C) B2)))))
% 13.98/14.27 (assume a2988 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.member_nat C) A2) (@ (@ tptp.member_nat C) B2)))))
% 13.98/14.27 (assume a2989 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (@ (@ tptp.member_int X) A2) (@ (@ tptp.member_int X) B2)))))
% 13.98/14.27 (assume a2990 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (X tptp.complex)) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (@ (@ tptp.member_complex X) A2) (@ (@ tptp.member_complex X) B2)))))
% 13.98/14.27 (assume a2991 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2) (=> (@ (@ tptp.member8440522571783428010at_nat X) A2) (@ (@ tptp.member8440522571783428010at_nat X) B2)))))
% 13.98/14.27 (assume a2992 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.member_real X) A2) (@ (@ tptp.member_real X) B2)))))
% 13.98/14.27 (assume a2993 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.member_nat X) A2) (@ (@ tptp.member_nat X) B2)))))
% 13.98/14.27 (assume a2994 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (= (@ (@ tptp.minus_minus_set_real B2) (@ (@ tptp.minus_minus_set_real C4) A2)) A2)))))
% 13.98/14.27 (assume a2995 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) C4) (= (@ (@ tptp.minus_minus_set_nat B2) (@ (@ tptp.minus_minus_set_nat C4) A2)) A2)))))
% 13.98/14.27 (assume a2996 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.minus_minus_set_real A2) B2)) A2)))
% 13.98/14.27 (assume a2997 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat A2) B2)) A2)))
% 13.98/14.27 (assume a2998 (forall ((A2 tptp.set_real) (C4 tptp.set_real) (D4 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real D4) B2) (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.minus_minus_set_real A2) B2)) (@ (@ tptp.minus_minus_set_real C4) D4))))))
% 13.98/14.27 (assume a2999 (forall ((A2 tptp.set_nat) (C4 tptp.set_nat) (D4 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) C4) (=> (@ (@ tptp.ord_less_eq_set_nat D4) B2) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat A2) B2)) (@ (@ tptp.minus_minus_set_nat C4) D4))))))
% 13.98/14.27 (assume a3000 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3001 (forall ((A tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (exists ((R3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) R3) (= (@ (@ tptp.power_power_real R3) (@ tptp.suc N2)) A))))))
% 13.98/14.27 (assume a3002 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real X) N4)) Y))))))
% 13.98/14.27 (assume a3003 (= (@ tptp.vEBT_vebt_buildup (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.vEBT_Leaf false) false)))
% 13.98/14.27 (assume a3004 (forall ((N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (exists ((R3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) R3) (= (@ (@ tptp.power_power_real R3) N2) A)))))))
% 13.98/14.27 (assume a3005 (forall ((N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) X5) (= (@ (@ tptp.power_power_real X5) N2) A) (forall ((Y2 tptp.real)) (=> (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y2) (= (@ (@ tptp.power_power_real Y2) N2) A)) (= Y2 X5)))))))))
% 13.98/14.27 (assume a3006 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int B) tptp.one_one_int)) A)))))
% 13.98/14.27 (assume a3007 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.divide_divide_int B) A)))))
% 13.98/14.27 (assume a3008 (= tptp.ord_less_eq_set_int (lambda ((A5 tptp.set_int) (B5 tptp.set_int)) (@ (@ tptp.ord_less_eq_int_o (lambda ((X2 tptp.int)) (@ (@ tptp.member_int X2) A5))) (lambda ((X2 tptp.int)) (@ (@ tptp.member_int X2) B5))))))
% 13.98/14.27 (assume a3009 (= tptp.ord_le211207098394363844omplex (lambda ((A5 tptp.set_complex) (B5 tptp.set_complex)) (@ (@ tptp.ord_le4573692005234683329plex_o (lambda ((X2 tptp.complex)) (@ (@ tptp.member_complex X2) A5))) (lambda ((X2 tptp.complex)) (@ (@ tptp.member_complex X2) B5))))))
% 13.98/14.27 (assume a3010 (= tptp.ord_le3146513528884898305at_nat (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.ord_le704812498762024988_nat_o (lambda ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X2) A5))) (lambda ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X2) B5))))))
% 13.98/14.27 (assume a3011 (= tptp.ord_less_eq_set_real (lambda ((A5 tptp.set_real) (B5 tptp.set_real)) (@ (@ tptp.ord_less_eq_real_o (lambda ((X2 tptp.real)) (@ (@ tptp.member_real X2) A5))) (lambda ((X2 tptp.real)) (@ (@ tptp.member_real X2) B5))))))
% 13.98/14.27 (assume a3012 (= tptp.ord_less_eq_set_nat (lambda ((A5 tptp.set_nat) (B5 tptp.set_nat)) (@ (@ tptp.ord_less_eq_nat_o (lambda ((X2 tptp.nat)) (@ (@ tptp.member_nat X2) A5))) (lambda ((X2 tptp.nat)) (@ (@ tptp.member_nat X2) B5))))))
% 13.98/14.27 (assume a3013 (forall ((A2 tptp.set_int) (P (-> tptp.int Bool))) (@ (@ tptp.ord_less_eq_set_int (@ tptp.collect_int (lambda ((X2 tptp.int)) (and (@ (@ tptp.member_int X2) A2) (@ P X2))))) A2)))
% 13.98/14.27 (assume a3014 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (P (-> tptp.product_prod_nat_nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((X2 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X2) A2) (@ P X2))))) A2)))
% 13.98/14.27 (assume a3015 (forall ((A2 tptp.set_complex) (P (-> tptp.complex Bool))) (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (@ P X2))))) A2)))
% 13.98/14.27 (assume a3016 (forall ((A2 tptp.set_list_nat) (P (-> tptp.list_nat Bool))) (@ (@ tptp.ord_le6045566169113846134st_nat (@ tptp.collect_list_nat (lambda ((X2 tptp.list_nat)) (and (@ (@ tptp.member_list_nat X2) A2) (@ P X2))))) A2)))
% 13.98/14.27 (assume a3017 (forall ((A2 tptp.set_real) (P (-> tptp.real Bool))) (@ (@ tptp.ord_less_eq_set_real (@ tptp.collect_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.member_real X2) A2) (@ P X2))))) A2)))
% 13.98/14.27 (assume a3018 (forall ((A2 tptp.set_nat) (P (-> tptp.nat Bool))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (@ P X2))))) A2)))
% 13.98/14.27 (assume a3019 (forall ((M tptp.nat) (K tptp.int)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) K) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.power_power_int K) M)) K) (@ (@ tptp.power_power_int K) (@ (@ tptp.minus_minus_nat M) (@ tptp.suc tptp.zero_zero_nat))))))))
% 13.98/14.27 (assume a3020 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat Y) X) (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)))))
% 13.98/14.27 (assume a3021 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real Y) X) (not (@ (@ tptp.ord_less_real X) Y)))))
% 13.98/14.27 (assume a3022 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real Y) X) (not (@ (@ tptp.ord_less_set_real X) Y)))))
% 13.98/14.27 (assume a3023 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat Y) X) (not (@ (@ tptp.ord_less_set_nat X) Y)))))
% 13.98/14.27 (assume a3024 (forall ((Y tptp.num) (X tptp.num)) (=> (@ (@ tptp.ord_less_eq_num Y) X) (not (@ (@ tptp.ord_less_num X) Y)))))
% 13.98/14.27 (assume a3025 (forall ((Y tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat Y) X) (not (@ (@ tptp.ord_less_nat X) Y)))))
% 13.98/14.27 (assume a3026 (forall ((Y tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int Y) X) (not (@ (@ tptp.ord_less_int X) Y)))))
% 13.98/14.27 (assume a3027 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (@ (@ tptp.ord_le2932123472753598470d_enat Y) X))))
% 13.98/14.27 (assume a3028 (forall ((X tptp.real) (Y tptp.real)) (=> (not (@ (@ tptp.ord_less_real X) Y)) (@ (@ tptp.ord_less_eq_real Y) X))))
% 13.98/14.27 (assume a3029 (forall ((X tptp.num) (Y tptp.num)) (=> (not (@ (@ tptp.ord_less_num X) Y)) (@ (@ tptp.ord_less_eq_num Y) X))))
% 13.98/14.27 (assume a3030 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat X) Y)) (@ (@ tptp.ord_less_eq_nat Y) X))))
% 13.98/14.27 (assume a3031 (forall ((X tptp.int) (Y tptp.int)) (=> (not (@ (@ tptp.ord_less_int X) Y)) (@ (@ tptp.ord_less_eq_int Y) X))))
% 13.98/14.27 (assume a3032 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (not (@ (@ tptp.ord_le72135733267957522d_enat A) B)) (or (not (@ (@ tptp.ord_le2932123472753598470d_enat A) B)) (= A B)))))
% 13.98/14.27 (assume a3033 (forall ((A tptp.real) (B tptp.real)) (= (not (@ (@ tptp.ord_less_real A) B)) (or (not (@ (@ tptp.ord_less_eq_real A) B)) (= A B)))))
% 13.98/14.27 (assume a3034 (forall ((A tptp.set_real) (B tptp.set_real)) (= (not (@ (@ tptp.ord_less_set_real A) B)) (or (not (@ (@ tptp.ord_less_eq_set_real A) B)) (= A B)))))
% 13.98/14.27 (assume a3035 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (not (@ (@ tptp.ord_less_set_nat A) B)) (or (not (@ (@ tptp.ord_less_eq_set_nat A) B)) (= A B)))))
% 13.98/14.27 (assume a3036 (forall ((A tptp.num) (B tptp.num)) (= (not (@ (@ tptp.ord_less_num A) B)) (or (not (@ (@ tptp.ord_less_eq_num A) B)) (= A B)))))
% 13.98/14.27 (assume a3037 (forall ((A tptp.nat) (B tptp.nat)) (= (not (@ (@ tptp.ord_less_nat A) B)) (or (not (@ (@ tptp.ord_less_eq_nat A) B)) (= A B)))))
% 13.98/14.27 (assume a3038 (forall ((A tptp.int) (B tptp.int)) (= (not (@ (@ tptp.ord_less_int A) B)) (or (not (@ (@ tptp.ord_less_eq_int A) B)) (= A B)))))
% 13.98/14.27 (assume a3039 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (= (@ (@ tptp.ord_le2932123472753598470d_enat X) Y) (= X Y)))))
% 13.98/14.27 (assume a3040 (forall ((X tptp.real) (Y tptp.real)) (=> (not (@ (@ tptp.ord_less_real X) Y)) (= (@ (@ tptp.ord_less_eq_real X) Y) (= X Y)))))
% 13.98/14.27 (assume a3041 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (not (@ (@ tptp.ord_less_set_real X) Y)) (= (@ (@ tptp.ord_less_eq_set_real X) Y) (= X Y)))))
% 13.98/14.27 (assume a3042 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (not (@ (@ tptp.ord_less_set_nat X) Y)) (= (@ (@ tptp.ord_less_eq_set_nat X) Y) (= X Y)))))
% 13.98/14.27 (assume a3043 (forall ((X tptp.num) (Y tptp.num)) (=> (not (@ (@ tptp.ord_less_num X) Y)) (= (@ (@ tptp.ord_less_eq_num X) Y) (= X Y)))))
% 13.98/14.27 (assume a3044 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat X) Y)) (= (@ (@ tptp.ord_less_eq_nat X) Y) (= X Y)))))
% 13.98/14.27 (assume a3045 (forall ((X tptp.int) (Y tptp.int)) (=> (not (@ (@ tptp.ord_less_int X) Y)) (= (@ (@ tptp.ord_less_eq_int X) Y) (= X Y)))))
% 13.98/14.27 (assume a3046 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat X) Y) (= (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3047 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (= (not (@ (@ tptp.ord_less_real X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3048 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (= (not (@ (@ tptp.ord_less_set_real X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3049 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (= (not (@ (@ tptp.ord_less_set_nat X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3050 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X) Y) (= (not (@ (@ tptp.ord_less_num X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3051 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) Y) (= (not (@ (@ tptp.ord_less_nat X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3052 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (= (not (@ (@ tptp.ord_less_int X) Y)) (= X Y)))))
% 13.98/14.27 (assume a3053 (forall ((Z tptp.real) (Y tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real Z) X5) (@ (@ tptp.ord_less_eq_real Y) X5))) (@ (@ tptp.ord_less_eq_real Y) Z))))
% 13.98/14.27 (assume a3054 (forall ((Y tptp.real) (Z tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y) (@ (@ tptp.ord_less_eq_real X5) Z))) (@ (@ tptp.ord_less_eq_real Y) Z))))
% 13.98/14.27 (assume a3055 (= tptp.ord_le72135733267957522d_enat (lambda ((X2 tptp.extended_enat) (Y3 tptp.extended_enat)) (and (@ (@ tptp.ord_le2932123472753598470d_enat X2) Y3) (not (@ (@ tptp.ord_le2932123472753598470d_enat Y3) X2))))))
% 13.98/14.27 (assume a3056 (= tptp.ord_less_real (lambda ((X2 tptp.real) (Y3 tptp.real)) (and (@ (@ tptp.ord_less_eq_real X2) Y3) (not (@ (@ tptp.ord_less_eq_real Y3) X2))))))
% 13.98/14.27 (assume a3057 (= tptp.ord_less_set_real (lambda ((X2 tptp.set_real) (Y3 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real X2) Y3) (not (@ (@ tptp.ord_less_eq_set_real Y3) X2))))))
% 13.98/14.27 (assume a3058 (= tptp.ord_less_set_nat (lambda ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat X2) Y3) (not (@ (@ tptp.ord_less_eq_set_nat Y3) X2))))))
% 13.98/14.27 (assume a3059 (= tptp.ord_less_num (lambda ((X2 tptp.num) (Y3 tptp.num)) (and (@ (@ tptp.ord_less_eq_num X2) Y3) (not (@ (@ tptp.ord_less_eq_num Y3) X2))))))
% 13.98/14.27 (assume a3060 (= tptp.ord_less_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat X2) Y3) (not (@ (@ tptp.ord_less_eq_nat Y3) X2))))))
% 13.98/14.27 (assume a3061 (= tptp.ord_less_int (lambda ((X2 tptp.int) (Y3 tptp.int)) (and (@ (@ tptp.ord_less_eq_int X2) Y3) (not (@ (@ tptp.ord_less_eq_int Y3) X2))))))
% 13.98/14.27 (assume a3062 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (not (@ (@ tptp.ord_le2932123472753598470d_enat Y) X)) (@ (@ tptp.ord_le72135733267957522d_enat X) Y))))
% 13.98/14.27 (assume a3063 (forall ((Y tptp.real) (X tptp.real)) (=> (not (@ (@ tptp.ord_less_eq_real Y) X)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.27 (assume a3064 (forall ((Y tptp.num) (X tptp.num)) (=> (not (@ (@ tptp.ord_less_eq_num Y) X)) (@ (@ tptp.ord_less_num X) Y))))
% 13.98/14.27 (assume a3065 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (@ (@ tptp.ord_less_eq_nat Y) X)) (@ (@ tptp.ord_less_nat X) Y))))
% 13.98/14.27 (assume a3066 (forall ((Y tptp.int) (X tptp.int)) (=> (not (@ (@ tptp.ord_less_eq_int Y) X)) (@ (@ tptp.ord_less_int X) Y))))
% 13.98/14.27 (assume a3067 (= tptp.ord_le2932123472753598470d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (or (@ (@ tptp.ord_le72135733267957522d_enat A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3068 (= tptp.ord_less_eq_real (lambda ((A4 tptp.real) (B4 tptp.real)) (or (@ (@ tptp.ord_less_real A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3069 (= tptp.ord_less_eq_set_real (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (or (@ (@ tptp.ord_less_set_real A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3070 (= tptp.ord_less_eq_set_nat (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (or (@ (@ tptp.ord_less_set_nat A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3071 (= tptp.ord_less_eq_num (lambda ((A4 tptp.num) (B4 tptp.num)) (or (@ (@ tptp.ord_less_num A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3072 (= tptp.ord_less_eq_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (or (@ (@ tptp.ord_less_nat A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3073 (= tptp.ord_less_eq_int (lambda ((A4 tptp.int) (B4 tptp.int)) (or (@ (@ tptp.ord_less_int A4) B4) (= A4 B4)))))
% 13.98/14.27 (assume a3074 (= tptp.ord_le72135733267957522d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (and (@ (@ tptp.ord_le2932123472753598470d_enat A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3075 (= tptp.ord_less_real (lambda ((A4 tptp.real) (B4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3076 (= tptp.ord_less_set_real (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3077 (= tptp.ord_less_set_nat (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3078 (= tptp.ord_less_num (lambda ((A4 tptp.num) (B4 tptp.num)) (and (@ (@ tptp.ord_less_eq_num A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3079 (= tptp.ord_less_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3080 (= tptp.ord_less_int (lambda ((A4 tptp.int) (B4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int A4) B4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3081 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (@ (@ tptp.ord_le72135733267957522d_enat A) C)))))
% 13.98/14.27 (assume a3082 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_real B) C) (@ (@ tptp.ord_less_real A) C)))))
% 13.98/14.27 (assume a3083 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (@ (@ tptp.ord_less_set_real B) C) (@ (@ tptp.ord_less_set_real A) C)))))
% 13.98/14.27 (assume a3084 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (=> (@ (@ tptp.ord_less_set_nat B) C) (@ (@ tptp.ord_less_set_nat A) C)))))
% 13.98/14.27 (assume a3085 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_num B) C) (@ (@ tptp.ord_less_num A) C)))))
% 13.98/14.27 (assume a3086 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_nat B) C) (@ (@ tptp.ord_less_nat A) C)))))
% 13.98/14.27 (assume a3087 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_int B) C) (@ (@ tptp.ord_less_int A) C)))))
% 13.98/14.27 (assume a3088 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) C) (@ (@ tptp.ord_le72135733267957522d_enat A) C)))))
% 13.98/14.27 (assume a3089 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_eq_real B) C) (@ (@ tptp.ord_less_real A) C)))))
% 13.98/14.27 (assume a3090 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real A) B) (=> (@ (@ tptp.ord_less_eq_set_real B) C) (@ (@ tptp.ord_less_set_real A) C)))))
% 13.98/14.27 (assume a3091 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat A) B) (=> (@ (@ tptp.ord_less_eq_set_nat B) C) (@ (@ tptp.ord_less_set_nat A) C)))))
% 13.98/14.27 (assume a3092 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (=> (@ (@ tptp.ord_less_eq_num B) C) (@ (@ tptp.ord_less_num A) C)))))
% 13.98/14.27 (assume a3093 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat B) C) (@ (@ tptp.ord_less_nat A) C)))))
% 13.98/14.27 (assume a3094 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_eq_int B) C) (@ (@ tptp.ord_less_int A) C)))))
% 13.98/14.27 (assume a3095 (= tptp.ord_le72135733267957522d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (and (@ (@ tptp.ord_le2932123472753598470d_enat A4) B4) (not (@ (@ tptp.ord_le2932123472753598470d_enat B4) A4))))))
% 13.98/14.27 (assume a3096 (= tptp.ord_less_real (lambda ((A4 tptp.real) (B4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real A4) B4) (not (@ (@ tptp.ord_less_eq_real B4) A4))))))
% 13.98/14.27 (assume a3097 (= tptp.ord_less_set_real (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real A4) B4) (not (@ (@ tptp.ord_less_eq_set_real B4) A4))))))
% 13.98/14.27 (assume a3098 (= tptp.ord_less_set_nat (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat A4) B4) (not (@ (@ tptp.ord_less_eq_set_nat B4) A4))))))
% 13.98/14.27 (assume a3099 (= tptp.ord_less_num (lambda ((A4 tptp.num) (B4 tptp.num)) (and (@ (@ tptp.ord_less_eq_num A4) B4) (not (@ (@ tptp.ord_less_eq_num B4) A4))))))
% 13.98/14.27 (assume a3100 (= tptp.ord_less_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat A4) B4) (not (@ (@ tptp.ord_less_eq_nat B4) A4))))))
% 13.98/14.27 (assume a3101 (= tptp.ord_less_int (lambda ((A4 tptp.int) (B4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int A4) B4) (not (@ (@ tptp.ord_less_eq_int B4) A4))))))
% 13.98/14.27 (assume a3102 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real Z) X) (=> (forall ((W2 tptp.real)) (=> (@ (@ tptp.ord_less_real Z) W2) (=> (@ (@ tptp.ord_less_real W2) X) (@ (@ tptp.ord_less_eq_real Y) W2)))) (@ (@ tptp.ord_less_eq_real Y) Z)))))
% 13.98/14.27 (assume a3103 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (=> (forall ((W2 tptp.real)) (=> (@ (@ tptp.ord_less_real X) W2) (=> (@ (@ tptp.ord_less_real W2) Y) (@ (@ tptp.ord_less_eq_real W2) Z)))) (@ (@ tptp.ord_less_eq_real Y) Z)))))
% 13.98/14.27 (assume a3104 (= tptp.ord_le2932123472753598470d_enat (lambda ((B4 tptp.extended_enat) (A4 tptp.extended_enat)) (or (@ (@ tptp.ord_le72135733267957522d_enat B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3105 (= tptp.ord_less_eq_real (lambda ((B4 tptp.real) (A4 tptp.real)) (or (@ (@ tptp.ord_less_real B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3106 (= tptp.ord_less_eq_set_real (lambda ((B4 tptp.set_real) (A4 tptp.set_real)) (or (@ (@ tptp.ord_less_set_real B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3107 (= tptp.ord_less_eq_set_nat (lambda ((B4 tptp.set_nat) (A4 tptp.set_nat)) (or (@ (@ tptp.ord_less_set_nat B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3108 (= tptp.ord_less_eq_num (lambda ((B4 tptp.num) (A4 tptp.num)) (or (@ (@ tptp.ord_less_num B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3109 (= tptp.ord_less_eq_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (or (@ (@ tptp.ord_less_nat B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3110 (= tptp.ord_less_eq_int (lambda ((B4 tptp.int) (A4 tptp.int)) (or (@ (@ tptp.ord_less_int B4) A4) (= A4 B4)))))
% 13.98/14.27 (assume a3111 (= tptp.ord_le72135733267957522d_enat (lambda ((B4 tptp.extended_enat) (A4 tptp.extended_enat)) (and (@ (@ tptp.ord_le2932123472753598470d_enat B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3112 (= tptp.ord_less_real (lambda ((B4 tptp.real) (A4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3113 (= tptp.ord_less_set_real (lambda ((B4 tptp.set_real) (A4 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3114 (= tptp.ord_less_set_nat (lambda ((B4 tptp.set_nat) (A4 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3115 (= tptp.ord_less_num (lambda ((B4 tptp.num) (A4 tptp.num)) (and (@ (@ tptp.ord_less_eq_num B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3116 (= tptp.ord_less_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3117 (= tptp.ord_less_int (lambda ((B4 tptp.int) (A4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int B4) A4) (not (= A4 B4))))))
% 13.98/14.27 (assume a3118 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat B) A) (=> (@ (@ tptp.ord_le72135733267957522d_enat C) B) (@ (@ tptp.ord_le72135733267957522d_enat C) A)))))
% 13.98/14.27 (assume a3119 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (=> (@ (@ tptp.ord_less_real C) B) (@ (@ tptp.ord_less_real C) A)))))
% 13.98/14.27 (assume a3120 (forall ((B tptp.set_real) (A tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real B) A) (=> (@ (@ tptp.ord_less_set_real C) B) (@ (@ tptp.ord_less_set_real C) A)))))
% 13.98/14.27 (assume a3121 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B) A) (=> (@ (@ tptp.ord_less_set_nat C) B) (@ (@ tptp.ord_less_set_nat C) A)))))
% 13.98/14.27 (assume a3122 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num B) A) (=> (@ (@ tptp.ord_less_num C) B) (@ (@ tptp.ord_less_num C) A)))))
% 13.98/14.27 (assume a3123 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat B) A) (=> (@ (@ tptp.ord_less_nat C) B) (@ (@ tptp.ord_less_nat C) A)))))
% 13.98/14.27 (assume a3124 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) A) (=> (@ (@ tptp.ord_less_int C) B) (@ (@ tptp.ord_less_int C) A)))))
% 13.98/14.27 (assume a3125 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (=> (@ (@ tptp.ord_le2932123472753598470d_enat C) B) (@ (@ tptp.ord_le72135733267957522d_enat C) A)))))
% 13.98/14.27 (assume a3126 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (=> (@ (@ tptp.ord_less_eq_real C) B) (@ (@ tptp.ord_less_real C) A)))))
% 13.98/14.27 (assume a3127 (forall ((B tptp.set_real) (A tptp.set_real) (C tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real B) A) (=> (@ (@ tptp.ord_less_eq_set_real C) B) (@ (@ tptp.ord_less_set_real C) A)))))
% 13.98/14.27 (assume a3128 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat B) A) (=> (@ (@ tptp.ord_less_eq_set_nat C) B) (@ (@ tptp.ord_less_set_nat C) A)))))
% 13.98/14.27 (assume a3129 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (=> (@ (@ tptp.ord_less_eq_num C) B) (@ (@ tptp.ord_less_num C) A)))))
% 13.98/14.27 (assume a3130 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (=> (@ (@ tptp.ord_less_eq_nat C) B) (@ (@ tptp.ord_less_nat C) A)))))
% 13.98/14.27 (assume a3131 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (=> (@ (@ tptp.ord_less_eq_int C) B) (@ (@ tptp.ord_less_int C) A)))))
% 13.98/14.27 (assume a3132 (= tptp.ord_le72135733267957522d_enat (lambda ((B4 tptp.extended_enat) (A4 tptp.extended_enat)) (and (@ (@ tptp.ord_le2932123472753598470d_enat B4) A4) (not (@ (@ tptp.ord_le2932123472753598470d_enat A4) B4))))))
% 13.98/14.27 (assume a3133 (= tptp.ord_less_real (lambda ((B4 tptp.real) (A4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real B4) A4) (not (@ (@ tptp.ord_less_eq_real A4) B4))))))
% 13.98/14.27 (assume a3134 (= tptp.ord_less_set_real (lambda ((B4 tptp.set_real) (A4 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real B4) A4) (not (@ (@ tptp.ord_less_eq_set_real A4) B4))))))
% 13.98/14.27 (assume a3135 (= tptp.ord_less_set_nat (lambda ((B4 tptp.set_nat) (A4 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat B4) A4) (not (@ (@ tptp.ord_less_eq_set_nat A4) B4))))))
% 13.98/14.27 (assume a3136 (= tptp.ord_less_num (lambda ((B4 tptp.num) (A4 tptp.num)) (and (@ (@ tptp.ord_less_eq_num B4) A4) (not (@ (@ tptp.ord_less_eq_num A4) B4))))))
% 13.98/14.27 (assume a3137 (= tptp.ord_less_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat B4) A4) (not (@ (@ tptp.ord_less_eq_nat A4) B4))))))
% 13.98/14.27 (assume a3138 (= tptp.ord_less_int (lambda ((B4 tptp.int) (A4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int B4) A4) (not (@ (@ tptp.ord_less_eq_int A4) B4))))))
% 13.98/14.27 (assume a3139 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (@ (@ tptp.ord_le2932123472753598470d_enat A) B))))
% 13.98/14.27 (assume a3140 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.27 (assume a3141 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real A) B) (@ (@ tptp.ord_less_eq_set_real A) B))))
% 13.98/14.27 (assume a3142 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat A) B) (@ (@ tptp.ord_less_eq_set_nat A) B))))
% 13.98/14.27 (assume a3143 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_num A) B) (@ (@ tptp.ord_less_eq_num A) B))))
% 13.98/14.27 (assume a3144 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.ord_less_eq_nat A) B))))
% 13.98/14.27 (assume a3145 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.27 (assume a3146 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (@ (@ tptp.ord_le2932123472753598470d_enat B) A))))
% 13.98/14.27 (assume a3147 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (@ (@ tptp.ord_less_eq_real B) A))))
% 13.98/14.27 (assume a3148 (forall ((B tptp.set_real) (A tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real B) A) (@ (@ tptp.ord_less_eq_set_real B) A))))
% 13.98/14.27 (assume a3149 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat B) A) (@ (@ tptp.ord_less_eq_set_nat B) A))))
% 13.98/14.27 (assume a3150 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (@ (@ tptp.ord_less_eq_num B) A))))
% 13.98/14.27 (assume a3151 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (@ (@ tptp.ord_less_eq_nat B) A))))
% 13.98/14.27 (assume a3152 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (@ (@ tptp.ord_less_eq_int B) A))))
% 13.98/14.27 (assume a3153 (= tptp.ord_le2932123472753598470d_enat (lambda ((X2 tptp.extended_enat) (Y3 tptp.extended_enat)) (or (@ (@ tptp.ord_le72135733267957522d_enat X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3154 (= tptp.ord_less_eq_real (lambda ((X2 tptp.real) (Y3 tptp.real)) (or (@ (@ tptp.ord_less_real X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3155 (= tptp.ord_less_eq_set_real (lambda ((X2 tptp.set_real) (Y3 tptp.set_real)) (or (@ (@ tptp.ord_less_set_real X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3156 (= tptp.ord_less_eq_set_nat (lambda ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (or (@ (@ tptp.ord_less_set_nat X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3157 (= tptp.ord_less_eq_num (lambda ((X2 tptp.num) (Y3 tptp.num)) (or (@ (@ tptp.ord_less_num X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3158 (= tptp.ord_less_eq_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (or (@ (@ tptp.ord_less_nat X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3159 (= tptp.ord_less_eq_int (lambda ((X2 tptp.int) (Y3 tptp.int)) (or (@ (@ tptp.ord_less_int X2) Y3) (= X2 Y3)))))
% 13.98/14.27 (assume a3160 (= tptp.ord_le72135733267957522d_enat (lambda ((X2 tptp.extended_enat) (Y3 tptp.extended_enat)) (and (@ (@ tptp.ord_le2932123472753598470d_enat X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3161 (= tptp.ord_less_real (lambda ((X2 tptp.real) (Y3 tptp.real)) (and (@ (@ tptp.ord_less_eq_real X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3162 (= tptp.ord_less_set_real (lambda ((X2 tptp.set_real) (Y3 tptp.set_real)) (and (@ (@ tptp.ord_less_eq_set_real X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3163 (= tptp.ord_less_set_nat (lambda ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3164 (= tptp.ord_less_num (lambda ((X2 tptp.num) (Y3 tptp.num)) (and (@ (@ tptp.ord_less_eq_num X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3165 (= tptp.ord_less_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3166 (= tptp.ord_less_int (lambda ((X2 tptp.int) (Y3 tptp.int)) (and (@ (@ tptp.ord_less_eq_int X2) Y3) (not (= X2 Y3))))))
% 13.98/14.27 (assume a3167 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (@ (@ tptp.ord_le2932123472753598470d_enat X) Y)) (@ (@ tptp.ord_le72135733267957522d_enat Y) X))))
% 13.98/14.27 (assume a3168 (forall ((X tptp.real) (Y tptp.real)) (= (not (@ (@ tptp.ord_less_eq_real X) Y)) (@ (@ tptp.ord_less_real Y) X))))
% 13.98/14.27 (assume a3169 (forall ((X tptp.num) (Y tptp.num)) (= (not (@ (@ tptp.ord_less_eq_num X) Y)) (@ (@ tptp.ord_less_num Y) X))))
% 13.98/14.27 (assume a3170 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (@ (@ tptp.ord_less_eq_nat X) Y)) (@ (@ tptp.ord_less_nat Y) X))))
% 13.98/14.27 (assume a3171 (forall ((X tptp.int) (Y tptp.int)) (= (not (@ (@ tptp.ord_less_eq_int X) Y)) (@ (@ tptp.ord_less_int Y) X))))
% 13.98/14.27 (assume a3172 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (@ (@ tptp.ord_le72135733267957522d_enat X) Y)) (@ (@ tptp.ord_le2932123472753598470d_enat Y) X))))
% 13.98/14.27 (assume a3173 (forall ((X tptp.real) (Y tptp.real)) (= (not (@ (@ tptp.ord_less_real X) Y)) (@ (@ tptp.ord_less_eq_real Y) X))))
% 13.98/14.27 (assume a3174 (forall ((X tptp.num) (Y tptp.num)) (= (not (@ (@ tptp.ord_less_num X) Y)) (@ (@ tptp.ord_less_eq_num Y) X))))
% 13.98/14.27 (assume a3175 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (@ (@ tptp.ord_less_nat X) Y)) (@ (@ tptp.ord_less_eq_nat Y) X))))
% 13.98/14.27 (assume a3176 (forall ((X tptp.int) (Y tptp.int)) (= (not (@ (@ tptp.ord_less_int X) Y)) (@ (@ tptp.ord_less_eq_int Y) X))))
% 13.98/14.27 (assume a3177 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (@ (@ tptp.ord_le2932123472753598470d_enat X) Y))))
% 13.98/14.27 (assume a3178 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.27 (assume a3179 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real X) Y) (@ (@ tptp.ord_less_eq_set_real X) Y))))
% 13.98/14.27 (assume a3180 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat X) Y) (@ (@ tptp.ord_less_eq_set_nat X) Y))))
% 13.98/14.27 (assume a3181 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (@ (@ tptp.ord_less_eq_num X) Y))))
% 13.98/14.27 (assume a3182 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (@ (@ tptp.ord_less_eq_nat X) Y))))
% 13.98/14.27 (assume a3183 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (@ (@ tptp.ord_less_eq_int X) Y))))
% 13.98/14.27 (assume a3184 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (=> (not (= A B)) (@ (@ tptp.ord_le72135733267957522d_enat A) B)))))
% 13.98/14.27 (assume a3185 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (not (= A B)) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.27 (assume a3186 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (=> (not (= A B)) (@ (@ tptp.ord_less_set_real A) B)))))
% 13.98/14.27 (assume a3187 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (=> (not (= A B)) (@ (@ tptp.ord_less_set_nat A) B)))))
% 13.98/14.27 (assume a3188 (forall ((A tptp.num) (B tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (not (= A B)) (@ (@ tptp.ord_less_num A) B)))))
% 13.98/14.27 (assume a3189 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (not (= A B)) (@ (@ tptp.ord_less_nat A) B)))))
% 13.98/14.27 (assume a3190 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (not (= A B)) (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.27 (assume a3191 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (not (= A B)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) B) (@ (@ tptp.ord_le72135733267957522d_enat A) B)))))
% 13.98/14.27 (assume a3192 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A B)) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.27 (assume a3193 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (not (= A B)) (=> (@ (@ tptp.ord_less_eq_set_real A) B) (@ (@ tptp.ord_less_set_real A) B)))))
% 13.98/14.27 (assume a3194 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (not (= A B)) (=> (@ (@ tptp.ord_less_eq_set_nat A) B) (@ (@ tptp.ord_less_set_nat A) B)))))
% 13.98/14.27 (assume a3195 (forall ((A tptp.num) (B tptp.num)) (=> (not (= A B)) (=> (@ (@ tptp.ord_less_eq_num A) B) (@ (@ tptp.ord_less_num A) B)))))
% 13.98/14.27 (assume a3196 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A B)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (@ (@ tptp.ord_less_nat A) B)))))
% 13.98/14.27 (assume a3197 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A B)) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_int A) B)))))
% 13.98/14.27 (assume a3198 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat X) Y) (=> (@ (@ tptp.ord_le72135733267957522d_enat Y) Z) (@ (@ tptp.ord_le72135733267957522d_enat X) Z)))))
% 13.98/14.27 (assume a3199 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_real Y) Z) (@ (@ tptp.ord_less_real X) Z)))))
% 13.98/14.27 (assume a3200 (forall ((X tptp.set_real) (Y tptp.set_real) (Z tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (=> (@ (@ tptp.ord_less_set_real Y) Z) (@ (@ tptp.ord_less_set_real X) Z)))))
% 13.98/14.27 (assume a3201 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (=> (@ (@ tptp.ord_less_set_nat Y) Z) (@ (@ tptp.ord_less_set_nat X) Z)))))
% 13.98/14.27 (assume a3202 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X) Y) (=> (@ (@ tptp.ord_less_num Y) Z) (@ (@ tptp.ord_less_num X) Z)))))
% 13.98/14.27 (assume a3203 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) Y) (=> (@ (@ tptp.ord_less_nat Y) Z) (@ (@ tptp.ord_less_nat X) Z)))))
% 13.98/14.27 (assume a3204 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (=> (@ (@ tptp.ord_less_int Y) Z) (@ (@ tptp.ord_less_int X) Z)))))
% 13.98/14.27 (assume a3205 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (=> (@ (@ tptp.ord_le2932123472753598470d_enat Y) Z) (@ (@ tptp.ord_le72135733267957522d_enat X) Z)))))
% 13.98/14.27 (assume a3206 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (=> (@ (@ tptp.ord_less_eq_real Y) Z) (@ (@ tptp.ord_less_real X) Z)))))
% 13.98/14.27 (assume a3207 (forall ((X tptp.set_real) (Y tptp.set_real) (Z tptp.set_real)) (=> (@ (@ tptp.ord_less_set_real X) Y) (=> (@ (@ tptp.ord_less_eq_set_real Y) Z) (@ (@ tptp.ord_less_set_real X) Z)))))
% 13.98/14.27 (assume a3208 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (@ (@ tptp.ord_less_set_nat X) Y) (=> (@ (@ tptp.ord_less_eq_set_nat Y) Z) (@ (@ tptp.ord_less_set_nat X) Z)))))
% 13.98/14.27 (assume a3209 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (@ (@ tptp.ord_less_num X) Y) (=> (@ (@ tptp.ord_less_eq_num Y) Z) (@ (@ tptp.ord_less_num X) Z)))))
% 13.98/14.27 (assume a3210 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (@ (@ tptp.ord_less_nat X) Y) (=> (@ (@ tptp.ord_less_eq_nat Y) Z) (@ (@ tptp.ord_less_nat X) Z)))))
% 13.98/14.27 (assume a3211 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (@ (@ tptp.ord_less_int X) Y) (=> (@ (@ tptp.ord_less_eq_int Y) Z) (@ (@ tptp.ord_less_int X) Z)))))
% 13.98/14.27 (assume a3212 (forall ((A tptp.extended_enat) (F (-> tptp.extended_enat tptp.extended_enat)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3213 (forall ((A tptp.real) (F (-> tptp.extended_enat tptp.real)) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_eq_real A) (@ F B)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3214 (forall ((A tptp.extended_enat) (F (-> tptp.real tptp.extended_enat)) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3215 (forall ((A tptp.real) (F (-> tptp.real tptp.real)) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) (@ F B)) (=> (@ (@ tptp.ord_less_real B) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3216 (forall ((A tptp.extended_enat) (F (-> tptp.num tptp.extended_enat)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3217 (forall ((A tptp.real) (F (-> tptp.num tptp.real)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_real A) (@ F B)) (=> (@ (@ tptp.ord_less_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3218 (forall ((A tptp.extended_enat) (F (-> tptp.nat tptp.extended_enat)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3219 (forall ((A tptp.real) (F (-> tptp.nat tptp.real)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real A) (@ F B)) (=> (@ (@ tptp.ord_less_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3220 (forall ((A tptp.extended_enat) (F (-> tptp.int tptp.extended_enat)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3221 (forall ((A tptp.real) (F (-> tptp.int tptp.real)) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_real A) (@ F B)) (=> (@ (@ tptp.ord_less_int B) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3222 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3223 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_real (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3224 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_num (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num (@ F A)) C))))))
% 13.98/14.27 (assume a3225 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_nat (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat (@ F A)) C))))))
% 13.98/14.27 (assume a3226 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_num A) B) (=> (@ (@ tptp.ord_less_int (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int (@ F A)) C))))))
% 13.98/14.27 (assume a3227 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_le72135733267957522d_enat (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3228 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_real (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3229 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.num)) (C tptp.num)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_num (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num (@ F A)) C))))))
% 13.98/14.27 (assume a3230 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.nat)) (C tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_nat (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat (@ F A)) C))))))
% 13.98/14.27 (assume a3231 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.int)) (C tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_int (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int (@ F A)) C))))))
% 13.98/14.27 (assume a3232 (forall ((A tptp.extended_enat) (F (-> tptp.num tptp.extended_enat)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3233 (forall ((A tptp.real) (F (-> tptp.num tptp.real)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3234 (forall ((A tptp.num) (F (-> tptp.num tptp.num)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_num A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num A) (@ F C)))))))
% 13.98/14.27 (assume a3235 (forall ((A tptp.nat) (F (-> tptp.num tptp.nat)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_nat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat A) (@ F C)))))))
% 13.98/14.27 (assume a3236 (forall ((A tptp.int) (F (-> tptp.num tptp.int)) (B tptp.num) (C tptp.num)) (=> (@ (@ tptp.ord_less_int A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_num B) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int A) (@ F C)))))))
% 13.98/14.27 (assume a3237 (forall ((A tptp.extended_enat) (F (-> tptp.nat tptp.extended_enat)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat A) (@ F C)))))))
% 13.98/14.27 (assume a3238 (forall ((A tptp.real) (F (-> tptp.nat tptp.real)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_real A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real A) (@ F C)))))))
% 13.98/14.27 (assume a3239 (forall ((A tptp.num) (F (-> tptp.nat tptp.num)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_num A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_num (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_num A) (@ F C)))))))
% 13.98/14.27 (assume a3240 (forall ((A tptp.nat) (F (-> tptp.nat tptp.nat)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_nat A) (@ F C)))))))
% 13.98/14.27 (assume a3241 (forall ((A tptp.int) (F (-> tptp.nat tptp.int)) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.ord_less_int A) (@ F B)) (=> (@ (@ tptp.ord_less_eq_nat B) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X5) Y5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_int A) (@ F C)))))))
% 13.98/14.27 (assume a3242 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3243 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F (-> tptp.extended_enat tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_le72135733267957522d_enat A) B) (=> (@ (@ tptp.ord_less_eq_real (@ F B)) C) (=> (forall ((X5 tptp.extended_enat) (Y5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3244 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3245 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_eq_real (@ F B)) C) (=> (forall ((X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3246 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_num A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3247 (forall ((A tptp.num) (B tptp.num) (F (-> tptp.num tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_num A) B) (=> (@ (@ tptp.ord_less_eq_real (@ F B)) C) (=> (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3248 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3249 (forall ((A tptp.nat) (B tptp.nat) (F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_nat A) B) (=> (@ (@ tptp.ord_less_eq_real (@ F B)) C) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3250 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.extended_enat)) (C tptp.extended_enat)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_le2932123472753598470d_enat (@ F B)) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Y5) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ F A)) C))))))
% 13.98/14.27 (assume a3251 (forall ((A tptp.int) (B tptp.int) (F (-> tptp.int tptp.real)) (C tptp.real)) (=> (@ (@ tptp.ord_less_int A) B) (=> (@ (@ tptp.ord_less_eq_real (@ F B)) C) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Y5) (@ (@ tptp.ord_less_real (@ F X5)) (@ F Y5)))) (@ (@ tptp.ord_less_real (@ F A)) C))))))
% 13.98/14.27 (assume a3252 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (or (@ (@ tptp.ord_le2932123472753598470d_enat X) Y) (@ (@ tptp.ord_le72135733267957522d_enat Y) X))))
% 13.98/14.27 (assume a3253 (forall ((X tptp.real) (Y tptp.real)) (or (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_real Y) X))))
% 13.98/14.27 (assume a3254 (forall ((X tptp.num) (Y tptp.num)) (or (@ (@ tptp.ord_less_eq_num X) Y) (@ (@ tptp.ord_less_num Y) X))))
% 13.98/14.27 (assume a3255 (forall ((X tptp.nat) (Y tptp.nat)) (or (@ (@ tptp.ord_less_eq_nat X) Y) (@ (@ tptp.ord_less_nat Y) X))))
% 13.98/14.27 (assume a3256 (forall ((X tptp.int) (Y tptp.int)) (or (@ (@ tptp.ord_less_eq_int X) Y) (@ (@ tptp.ord_less_int Y) X))))
% 13.98/14.27 (assume a3257 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat X) Y) (or (@ (@ tptp.ord_le72135733267957522d_enat X) Y) (= X Y)))))
% 13.98/14.27 (assume a3258 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (or (@ (@ tptp.ord_less_real X) Y) (= X Y)))))
% 13.98/14.27 (assume a3259 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (or (@ (@ tptp.ord_less_set_real X) Y) (= X Y)))))
% 13.98/14.27 (assume a3260 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (or (@ (@ tptp.ord_less_set_nat X) Y) (= X Y)))))
% 13.98/14.27 (assume a3261 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X) Y) (or (@ (@ tptp.ord_less_num X) Y) (= X Y)))))
% 13.98/14.27 (assume a3262 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) Y) (or (@ (@ tptp.ord_less_nat X) Y) (= X Y)))))
% 13.98/14.27 (assume a3263 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (or (@ (@ tptp.ord_less_int X) Y) (= X Y)))))
% 13.98/14.27 (assume a3264 (forall ((A tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat A) tptp.bot_bo4199563552545308370d_enat) (= A tptp.bot_bo4199563552545308370d_enat))))
% 13.98/14.27 (assume a3265 (forall ((A tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int A) tptp.bot_bot_set_int) (= A tptp.bot_bot_set_int))))
% 13.98/14.27 (assume a3266 (forall ((A tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A) tptp.bot_bot_set_real) (= A tptp.bot_bot_set_real))))
% 13.98/14.27 (assume a3267 (forall ((A tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat) (= A tptp.bot_bot_set_nat))))
% 13.98/14.27 (assume a3268 (forall ((A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) tptp.bot_bot_nat) (= A tptp.bot_bot_nat))))
% 13.98/14.27 (assume a3269 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.ord_le2932123472753598470d_enat A) tptp.bot_bo4199563552545308370d_enat) (= A tptp.bot_bo4199563552545308370d_enat))))
% 13.98/14.27 (assume a3270 (forall ((A tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int A) tptp.bot_bot_set_int) (= A tptp.bot_bot_set_int))))
% 13.98/14.27 (assume a3271 (forall ((A tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real A) tptp.bot_bot_set_real) (= A tptp.bot_bot_set_real))))
% 13.98/14.27 (assume a3272 (forall ((A tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat) (= A tptp.bot_bot_set_nat))))
% 13.98/14.27 (assume a3273 (forall ((A tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat A) tptp.bot_bot_nat) (= A tptp.bot_bot_nat))))
% 13.98/14.27 (assume a3274 (forall ((A tptp.extended_enat)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.bot_bo4199563552545308370d_enat) A)))
% 13.98/14.27 (assume a3275 (forall ((A tptp.set_int)) (@ (@ tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A)))
% 13.98/14.27 (assume a3276 (forall ((A tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real tptp.bot_bot_set_real) A)))
% 13.98/14.27 (assume a3277 (forall ((A tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A)))
% 13.98/14.27 (assume a3278 (forall ((A tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.bot_bot_nat) A)))
% 13.98/14.27 (assume a3279 (forall ((A tptp.set_nat)) (not (@ (@ tptp.ord_less_set_nat A) tptp.bot_bot_set_nat))))
% 13.98/14.27 (assume a3280 (forall ((A tptp.set_int)) (not (@ (@ tptp.ord_less_set_int A) tptp.bot_bot_set_int))))
% 13.98/14.27 (assume a3281 (forall ((A tptp.set_real)) (not (@ (@ tptp.ord_less_set_real A) tptp.bot_bot_set_real))))
% 13.98/14.27 (assume a3282 (forall ((A tptp.extended_enat)) (not (@ (@ tptp.ord_le72135733267957522d_enat A) tptp.bot_bo4199563552545308370d_enat))))
% 13.98/14.27 (assume a3283 (forall ((A tptp.nat)) (not (@ (@ tptp.ord_less_nat A) tptp.bot_bot_nat))))
% 13.98/14.27 (assume a3284 (forall ((A tptp.set_nat)) (= (not (= A tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_set_nat tptp.bot_bot_set_nat) A))))
% 13.98/14.27 (assume a3285 (forall ((A tptp.set_int)) (= (not (= A tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_set_int tptp.bot_bot_set_int) A))))
% 13.98/14.27 (assume a3286 (forall ((A tptp.set_real)) (= (not (= A tptp.bot_bot_set_real)) (@ (@ tptp.ord_less_set_real tptp.bot_bot_set_real) A))))
% 13.98/14.27 (assume a3287 (forall ((A tptp.extended_enat)) (= (not (= A tptp.bot_bo4199563552545308370d_enat)) (@ (@ tptp.ord_le72135733267957522d_enat tptp.bot_bo4199563552545308370d_enat) A))))
% 13.98/14.27 (assume a3288 (forall ((A tptp.nat)) (= (not (= A tptp.bot_bot_nat)) (@ (@ tptp.ord_less_nat tptp.bot_bot_nat) A))))
% 13.98/14.27 (assume a3289 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat X) Y) (= (@ (@ tptp.ord_ma741700101516333627d_enat X) Y) Y))))
% 13.98/14.27 (assume a3290 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger X) Y) (= (@ (@ tptp.ord_max_Code_integer X) Y) Y))))
% 13.98/14.27 (assume a3291 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (= (@ (@ tptp.ord_max_set_real X) Y) Y))))
% 13.98/14.27 (assume a3292 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (= (@ (@ tptp.ord_max_set_nat X) Y) Y))))
% 13.98/14.27 (assume a3293 (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ tptp.ord_less_eq_num X) Y) (= (@ (@ tptp.ord_max_num X) Y) Y))))
% 13.98/14.27 (assume a3294 (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat X) Y) (= (@ (@ tptp.ord_max_nat X) Y) Y))))
% 13.98/14.27 (assume a3295 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (= (@ (@ tptp.ord_max_int X) Y) Y))))
% 13.98/14.27 (assume a3296 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (@ (@ tptp.ord_le2932123472753598470d_enat Y) X) (= (@ (@ tptp.ord_ma741700101516333627d_enat X) Y) X))))
% 13.98/14.27 (assume a3297 (forall ((Y tptp.code_integer) (X tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger Y) X) (= (@ (@ tptp.ord_max_Code_integer X) Y) X))))
% 13.98/14.27 (assume a3298 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real Y) X) (= (@ (@ tptp.ord_max_set_real X) Y) X))))
% 13.98/14.27 (assume a3299 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat Y) X) (= (@ (@ tptp.ord_max_set_nat X) Y) X))))
% 13.98/14.27 (assume a3300 (forall ((Y tptp.num) (X tptp.num)) (=> (@ (@ tptp.ord_less_eq_num Y) X) (= (@ (@ tptp.ord_max_num X) Y) X))))
% 13.98/14.27 (assume a3301 (forall ((Y tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat Y) X) (= (@ (@ tptp.ord_max_nat X) Y) X))))
% 13.98/14.27 (assume a3302 (forall ((Y tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int Y) X) (= (@ (@ tptp.ord_max_int X) Y) X))))
% 13.98/14.27 (assume a3303 (= tptp.ord_ma741700101516333627d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (@ (@ (@ tptp.if_Extended_enat (@ (@ tptp.ord_le2932123472753598470d_enat A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3304 (= tptp.ord_max_Code_integer (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le3102999989581377725nteger A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3305 (= tptp.ord_max_set_real (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (@ (@ (@ tptp.if_set_real (@ (@ tptp.ord_less_eq_set_real A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3306 (= tptp.ord_max_set_nat (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.ord_less_eq_set_nat A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3307 (= tptp.ord_max_num (lambda ((A4 tptp.num) (B4 tptp.num)) (@ (@ (@ tptp.if_num (@ (@ tptp.ord_less_eq_num A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3308 (= tptp.ord_max_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_eq_nat A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3309 (= tptp.ord_max_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_eq_int A4) B4)) B4) A4))))
% 13.98/14.27 (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 Bool) (Uv2 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 Bool) (Uw2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) Uw2)) (=> (= Xa2 (@ tptp.suc tptp.zero_zero_nat)) (=> (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A3) (= Y tptp.none_nat))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) Uw2)) (@ tptp.suc tptp.zero_zero_nat)))))))) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (forall ((Va2 tptp.nat)) (=> (= Xa2 (@ tptp.suc (@ tptp.suc Va2))) (=> (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not B3) (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A3) (= Y tptp.none_nat))))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) (@ tptp.suc (@ 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.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.suc tptp.zero_zero_nat)) Vh) Vi)) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (and (=> (@ (@ tptp.ord_less_nat Ma2) Xa2) (= Y (@ tptp.some_nat Ma2))) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (= Y (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))) (@ (@ (@ tptp.if_option_nat (and (not (= (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_greater (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.some_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_pred (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_option_nat (= (@ (@ tptp.vEBT_vebt_pred Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.none_nat)) (@ (@ (@ tptp.if_option_nat (@ (@ tptp.ord_less_nat Mi2) Xa2)) (@ tptp.some_nat Mi2)) tptp.none_nat)) (@ (@ tptp.vEBT_VEBT_add (@ (@ tptp.vEBT_VEBT_mul (@ tptp.some_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_vebt_pred Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ (@ tptp.vEBT_vebt_pred Summary2) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ 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.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2)))))))))))))))))
% 13.98/14.27 (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 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (= Xa2 tptp.zero_zero_nat) (=> (= Y (@ (@ tptp.vEBT_Leaf false) 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 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (= Xa2 (@ tptp.suc tptp.zero_zero_nat)) (=> (= Y (@ (@ tptp.vEBT_Leaf A3) false)) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.vEBT_Leaf A3) B3)) (@ tptp.suc tptp.zero_zero_nat)))))))) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (forall ((N4 tptp.nat)) (=> (= Xa2 (@ tptp.suc (@ tptp.suc N4))) (=> (= 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.suc (@ tptp.suc N4)))))))))) (=> (forall ((Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) Summary2)) (=> (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) Summary2)) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Deg2) TreeList3) 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.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) TrLst) Smry)) (=> (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_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.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.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc tptp.zero_zero_nat)) Tr) Sm)) (=> (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ 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.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc tptp.zero_zero_nat)) Tr) Sm)) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (and (=> (or (@ (@ tptp.ord_less_nat Xa2) Mi2) (@ (@ tptp.ord_less_nat Ma2) Xa2)) (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (=> (not (or (@ (@ tptp.ord_less_nat Xa2) Mi2) (@ (@ tptp.ord_less_nat Ma2) Xa2))) (and (=> (and (= Xa2 Mi2) (= Xa2 Ma2)) (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (=> (not (and (= Xa2 Mi2) (= Xa2 Ma2))) (= Y (@ (@ (@ tptp.if_VEBT_VEBT (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (@ (@ (@ tptp.if_nat (and (=> (= Xa2 Mi2) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2)))))) Ma2)) (=> (not (= Xa2 Mi2)) (= Xa2 Ma2)))) (@ (@ (@ tptp.if_nat (= (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) tptp.none_nat)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))) Ma2)))) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_delete Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (@ (@ (@ tptp.if_nat (and (=> (= Xa2 Mi2) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2)))))) Ma2)) (=> (not (= Xa2 Mi2)) (= Xa2 Ma2)))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) Ma2)))) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (= Xa2 Mi2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ tptp.the_nat (@ tptp.vEBT_vebt_mint Summary2))))))) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) Summary2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))))))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2)))))))))))))))))
% 13.98/14.27 (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 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (@ (@ tptp.vEBT_Leaf true) B3))) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (= Y (@ (@ tptp.vEBT_Leaf A3) true))) (=> (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.suc tptp.zero_zero_nat)) Ts) S2)) (=> (= Y (@ (@ (@ (@ tptp.vEBT_Node Info2) (@ 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.suc tptp.zero_zero_nat)) Ts) S2)) Xa2)))))) (=> (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc V2))) TreeList3) Summary2)) (=> (= Y (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Xa2) Xa2))) (@ tptp.suc (@ tptp.suc V2))) TreeList3) Summary2)) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc V2))) TreeList3) Summary2)) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (= Y (@ (@ (@ tptp.if_VEBT_VEBT (and (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (not (or (= Xa2 Mi2) (= Xa2 Ma2))))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Xa2) Mi2)) (@ (@ tptp.ord_max_nat (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) Ma2)))) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ (@ tptp.list_u1324408373059187874T_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.vEBT_vebt_insert (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ (@ tptp.if_VEBT_VEBT (@ tptp.vEBT_VEBT_minNull (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.vEBT_vebt_insert Summary2) (@ (@ tptp.vEBT_VEBT_high (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) Summary2))) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2)))))))))))))))
% 13.98/14.27 (assume a3313 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_vebt_member X) Xa2) Y) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (= Y (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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 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 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.suc tptp.zero_zero_nat)) Vb2) Vc2)) (=> (not Y) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat V2)) (@ tptp.suc tptp.zero_zero_nat)) Vb2) Vc2)) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (= Y (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (and (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2)))))))))))))))
% 13.98/14.27 (assume a3314 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_vebt_member X) Xa2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((A3 Bool) (B3 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) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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.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.suc tptp.zero_zero_nat)) Vb2) Vc2)) Xa2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2)) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (and (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))))))))
% 13.98/14.27 (assume a3315 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_V5719532721284313246member X) Xa2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((A3 Bool) (B3 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) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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) (TreeList3 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))
% 13.98/14.27 (assume a3316 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ tptp.vEBT_V5719532721284313246member X) Xa2) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((A3 Bool) (B3 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) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) B3) (= Xa2 tptp.one_one_nat)))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) Xa2)) (not (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))
% 13.98/14.27 (assume a3317 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_V5719532721284313246member X) Xa2) Y) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (= Y (and (=> (= Xa2 tptp.zero_zero_nat) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) 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 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) (TreeList3 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) (=> (= Y (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_V5719532721284313246member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Uy2) (@ tptp.suc V2)) TreeList3) S2)) Xa2)))))))))))))
% 13.98/14.27 (assume a3318 (forall ((Q2 tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) Q2) Q2)))
% 13.98/14.27 (assume a3319 (forall ((Q2 tptp.extended_enat)) (= (@ (@ tptp.ord_ma741700101516333627d_enat Q2) tptp.zero_z5237406670263579293d_enat) Q2)))
% 13.98/14.27 (assume a3320 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se7879613467334960850it_int N2) K)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 13.98/14.27 (assume a3321 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se7879613467334960850it_int N2) K)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3322 (forall ((M tptp.extended_enat) (N2 tptp.extended_enat)) (= (= (@ (@ tptp.times_7803423173614009249d_enat M) N2) tptp.zero_z5237406670263579293d_enat) (or (= M tptp.zero_z5237406670263579293d_enat) (= N2 tptp.zero_z5237406670263579293d_enat)))))
% 13.98/14.27 (assume a3323 (not (= tptp.zero_z5237406670263579293d_enat tptp.one_on7984719198319812577d_enat)))
% 13.98/14.27 (assume a3324 (= tptp.bot_bo4199563552545308370d_enat tptp.zero_z5237406670263579293d_enat))
% 13.98/14.27 (assume a3325 (forall ((K tptp.int) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int K) (@ (@ tptp.bit_se7879613467334960850it_int N2) K))))
% 13.98/14.27 (assume a3326 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ tptp.vEBT_vebt_member X) Xa2) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((A3 Bool) (B3 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) A3) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) B3) (= Xa2 tptp.one_one_nat)))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc (@ tptp.suc Va2))) TreeList3) Summary2)) Xa2)) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (=> (not (@ (@ tptp.ord_less_nat Xa2) Mi2)) (and (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (=> (not (@ (@ tptp.ord_less_nat Ma2) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_vebt_member (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))))))
% 13.98/14.27 (assume a3327 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_VEBT_membermima X) Xa2) Y) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((Uu2 Bool) (Uv2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2)) (=> (not 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 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.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) Va3) Vb2)) (=> (= 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.product_Pair_nat_nat Mi2) Ma2))) tptp.zero_zero_nat) Va3) Vb2)) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) (=> (= Y (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) Xa2)))))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) (=> (= Y (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) Xa2)))))))))))))))
% 13.98/14.27 (assume a3328 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_VEBT_membermima X) Xa2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((Uu2 Bool) (Uv2 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.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.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) (TreeList3 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) Xa2)) (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))))))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) Xa2)) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))))))))))
% 13.98/14.27 (assume a3329 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ 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.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.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) (TreeList3 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) (@ tptp.suc V2)) TreeList3) Vc2)) Xa2)) (not (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)))))))) (not (forall ((V2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc V2)) TreeList3) Vd2)) Xa2)) (not (and (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3)) (@ (@ tptp.vEBT_VEBT_membermima (@ (@ tptp.nth_VEBT_VEBT TreeList3) (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_low Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.ord_less_nat (@ (@ tptp.vEBT_VEBT_high Xa2) (@ (@ tptp.divide_divide_nat (@ tptp.suc V2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.size_s6755466524823107622T_VEBT TreeList3))))))))))))))
% 13.98/14.27 (assume a3330 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat B) A) (= (@ (@ tptp.set_or5403411693681687835d_enat A) B) tptp.bot_bo7653980558646680370d_enat))))
% 13.98/14.27 (assume a3331 (forall ((B tptp.num) (A tptp.num)) (=> (@ (@ tptp.ord_less_num B) A) (= (@ (@ tptp.set_or7049704709247886629st_num A) B) tptp.bot_bot_set_num))))
% 13.98/14.27 (assume a3332 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat B) A) (= (@ (@ tptp.set_or1269000886237332187st_nat A) B) tptp.bot_bot_set_nat))))
% 13.98/14.27 (assume a3333 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int B) A) (= (@ (@ tptp.set_or1266510415728281911st_int A) B) tptp.bot_bot_set_int))))
% 13.98/14.27 (assume a3334 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (= (@ (@ tptp.set_or1222579329274155063t_real A) B) tptp.bot_bot_set_real))))
% 13.98/14.27 (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.ord_less_eq_set_real A) B)) (and (@ (@ tptp.ord_less_eq_set_real C) A) (@ (@ tptp.ord_less_eq_set_real B) D))))))
% 13.98/14.27 (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.ord_less_eq_set_nat A) B)) (and (@ (@ tptp.ord_less_eq_set_nat C) A) (@ (@ tptp.ord_less_eq_set_nat B) D))))))
% 13.98/14.27 (assume a3337 (forall ((A tptp.num) (B tptp.num) (C tptp.num) (D tptp.num)) (= (@ (@ tptp.ord_less_eq_set_num (@ (@ tptp.set_or7049704709247886629st_num A) B)) (@ (@ tptp.set_or7049704709247886629st_num C) D)) (or (not (@ (@ tptp.ord_less_eq_num A) B)) (and (@ (@ tptp.ord_less_eq_num C) A) (@ (@ tptp.ord_less_eq_num B) D))))))
% 13.98/14.27 (assume a3338 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ tptp.set_or1269000886237332187st_nat C) D)) (or (not (@ (@ tptp.ord_less_eq_nat A) B)) (and (@ (@ tptp.ord_less_eq_nat C) A) (@ (@ tptp.ord_less_eq_nat B) D))))))
% 13.98/14.27 (assume a3339 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.set_or1266510415728281911st_int A) B)) (@ (@ tptp.set_or1266510415728281911st_int C) D)) (or (not (@ (@ tptp.ord_less_eq_int A) B)) (and (@ (@ tptp.ord_less_eq_int C) A) (@ (@ tptp.ord_less_eq_int B) D))))))
% 13.98/14.27 (assume a3340 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) (@ (@ tptp.set_or1222579329274155063t_real C) D)) (or (not (@ (@ tptp.ord_less_eq_real A) B)) (and (@ (@ tptp.ord_less_eq_real C) A) (@ (@ tptp.ord_less_eq_real B) D))))))
% 13.98/14.27 (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.ord_less_eq_set_real A) B)))))
% 13.98/14.27 (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.ord_less_eq_set_nat A) B)))))
% 13.98/14.27 (assume a3343 (forall ((A tptp.num) (B tptp.num)) (= (= (@ (@ tptp.set_or7049704709247886629st_num A) B) tptp.bot_bot_set_num) (not (@ (@ tptp.ord_less_eq_num A) B)))))
% 13.98/14.27 (assume a3344 (forall ((A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.set_or1269000886237332187st_nat A) B) tptp.bot_bot_set_nat) (not (@ (@ tptp.ord_less_eq_nat A) B)))))
% 13.98/14.27 (assume a3345 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.set_or1266510415728281911st_int A) B) tptp.bot_bot_set_int) (not (@ (@ tptp.ord_less_eq_int A) B)))))
% 13.98/14.27 (assume a3346 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.set_or1222579329274155063t_real A) B) tptp.bot_bot_set_real) (not (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.27 (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.ord_less_eq_set_real A) B)))))
% 13.98/14.27 (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.ord_less_eq_set_nat A) B)))))
% 13.98/14.27 (assume a3349 (forall ((A tptp.num) (B tptp.num)) (= (= tptp.bot_bot_set_num (@ (@ tptp.set_or7049704709247886629st_num A) B)) (not (@ (@ tptp.ord_less_eq_num A) B)))))
% 13.98/14.27 (assume a3350 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.bot_bot_set_nat (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (not (@ (@ tptp.ord_less_eq_nat A) B)))))
% 13.98/14.27 (assume a3351 (forall ((A tptp.int) (B tptp.int)) (= (= tptp.bot_bot_set_int (@ (@ tptp.set_or1266510415728281911st_int A) B)) (not (@ (@ tptp.ord_less_eq_int A) B)))))
% 13.98/14.27 (assume a3352 (forall ((A tptp.real) (B tptp.real)) (= (= tptp.bot_bot_set_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) (not (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.27 (assume a3353 (forall ((L2 tptp.set_real) (H2 tptp.set_real) (L3 tptp.set_real) (H3 tptp.set_real)) (= (= (@ (@ tptp.set_or7743017856606604397t_real L2) H2) (@ (@ tptp.set_or7743017856606604397t_real L3) H3)) (or (and (= L2 L3) (= H2 H3)) (and (not (@ (@ tptp.ord_less_eq_set_real L2) H2)) (not (@ (@ tptp.ord_less_eq_set_real L3) H3)))))))
% 13.98/14.27 (assume a3354 (forall ((L2 tptp.set_nat) (H2 tptp.set_nat) (L3 tptp.set_nat) (H3 tptp.set_nat)) (= (= (@ (@ tptp.set_or4548717258645045905et_nat L2) H2) (@ (@ tptp.set_or4548717258645045905et_nat L3) H3)) (or (and (= L2 L3) (= H2 H3)) (and (not (@ (@ tptp.ord_less_eq_set_nat L2) H2)) (not (@ (@ tptp.ord_less_eq_set_nat L3) H3)))))))
% 13.98/14.27 (assume a3355 (forall ((L2 tptp.num) (H2 tptp.num) (L3 tptp.num) (H3 tptp.num)) (= (= (@ (@ tptp.set_or7049704709247886629st_num L2) H2) (@ (@ tptp.set_or7049704709247886629st_num L3) H3)) (or (and (= L2 L3) (= H2 H3)) (and (not (@ (@ tptp.ord_less_eq_num L2) H2)) (not (@ (@ tptp.ord_less_eq_num L3) H3)))))))
% 13.98/14.27 (assume a3356 (forall ((L2 tptp.nat) (H2 tptp.nat) (L3 tptp.nat) (H3 tptp.nat)) (= (= (@ (@ tptp.set_or1269000886237332187st_nat L2) H2) (@ (@ tptp.set_or1269000886237332187st_nat L3) H3)) (or (and (= L2 L3) (= H2 H3)) (and (not (@ (@ tptp.ord_less_eq_nat L2) H2)) (not (@ (@ tptp.ord_less_eq_nat L3) H3)))))))
% 13.98/14.27 (assume a3357 (forall ((L2 tptp.int) (H2 tptp.int) (L3 tptp.int) (H3 tptp.int)) (= (= (@ (@ tptp.set_or1266510415728281911st_int L2) H2) (@ (@ tptp.set_or1266510415728281911st_int L3) H3)) (or (and (= L2 L3) (= H2 H3)) (and (not (@ (@ tptp.ord_less_eq_int L2) H2)) (not (@ (@ tptp.ord_less_eq_int L3) H3)))))))
% 13.98/14.27 (assume a3358 (forall ((L2 tptp.real) (H2 tptp.real) (L3 tptp.real) (H3 tptp.real)) (= (= (@ (@ tptp.set_or1222579329274155063t_real L2) H2) (@ (@ tptp.set_or1222579329274155063t_real L3) H3)) (or (and (= L2 L3) (= H2 H3)) (and (not (@ (@ tptp.ord_less_eq_real L2) H2)) (not (@ (@ tptp.ord_less_eq_real L3) H3)))))))
% 13.98/14.27 (assume a3359 (forall ((I2 tptp.set_real) (L2 tptp.set_real) (U tptp.set_real)) (= (@ (@ tptp.member_set_real I2) (@ (@ tptp.set_or7743017856606604397t_real L2) U)) (and (@ (@ tptp.ord_less_eq_set_real L2) I2) (@ (@ tptp.ord_less_eq_set_real I2) U)))))
% 13.98/14.27 (assume a3360 (forall ((I2 tptp.set_nat) (L2 tptp.set_nat) (U tptp.set_nat)) (= (@ (@ tptp.member_set_nat I2) (@ (@ tptp.set_or4548717258645045905et_nat L2) U)) (and (@ (@ tptp.ord_less_eq_set_nat L2) I2) (@ (@ tptp.ord_less_eq_set_nat I2) U)))))
% 13.98/14.27 (assume a3361 (forall ((I2 tptp.num) (L2 tptp.num) (U tptp.num)) (= (@ (@ tptp.member_num I2) (@ (@ tptp.set_or7049704709247886629st_num L2) U)) (and (@ (@ tptp.ord_less_eq_num L2) I2) (@ (@ tptp.ord_less_eq_num I2) U)))))
% 13.98/14.27 (assume a3362 (forall ((I2 tptp.nat) (L2 tptp.nat) (U tptp.nat)) (= (@ (@ tptp.member_nat I2) (@ (@ tptp.set_or1269000886237332187st_nat L2) U)) (and (@ (@ tptp.ord_less_eq_nat L2) I2) (@ (@ tptp.ord_less_eq_nat I2) U)))))
% 13.98/14.27 (assume a3363 (forall ((I2 tptp.int) (L2 tptp.int) (U tptp.int)) (= (@ (@ tptp.member_int I2) (@ (@ tptp.set_or1266510415728281911st_int L2) U)) (and (@ (@ tptp.ord_less_eq_int L2) I2) (@ (@ tptp.ord_less_eq_int I2) U)))))
% 13.98/14.27 (assume a3364 (forall ((I2 tptp.real) (L2 tptp.real) (U tptp.real)) (= (@ (@ tptp.member_real I2) (@ (@ tptp.set_or1222579329274155063t_real L2) U)) (and (@ (@ tptp.ord_less_eq_real L2) I2) (@ (@ tptp.ord_less_eq_real I2) U)))))
% 13.98/14.27 (assume a3365 (forall ((P (-> tptp.nat Bool)) (X tptp.nat) (M7 tptp.nat)) (=> (@ P X) (=> (forall ((X5 tptp.nat)) (=> (@ P X5) (@ (@ tptp.ord_less_eq_nat X5) M7))) (not (forall ((M5 tptp.nat)) (=> (@ P M5) (not (forall ((X3 tptp.nat)) (=> (@ P X3) (@ (@ tptp.ord_less_eq_nat X3) M5)))))))))))
% 13.98/14.27 (assume a3366 (forall ((X tptp.produc3368934014287244435at_num)) (not (forall ((F2 (-> tptp.nat tptp.num tptp.num)) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.num)) (not (= X (@ (@ tptp.produc851828971589881931at_num F2) (@ (@ tptp.produc1195630363706982562at_num A3) (@ (@ tptp.product_Pair_nat_num B3) Acc)))))))))
% 13.98/14.27 (assume a3367 (forall ((X tptp.produc4471711990508489141at_nat)) (not (forall ((F2 (-> tptp.nat tptp.nat tptp.nat)) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.nat)) (not (= X (@ (@ tptp.produc3209952032786966637at_nat F2) (@ (@ tptp.produc487386426758144856at_nat A3) (@ (@ tptp.product_Pair_nat_nat B3) Acc)))))))))
% 13.98/14.27 (assume a3368 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (= (@ (@ tptp.ord_le2529575680413868914d_enat (@ (@ tptp.set_or5403411693681687835d_enat A) B)) (@ (@ tptp.set_or5403411693681687835d_enat C) D)) (and (or (not (@ (@ tptp.ord_le2932123472753598470d_enat A) B)) (and (@ (@ tptp.ord_le2932123472753598470d_enat C) A) (@ (@ tptp.ord_le2932123472753598470d_enat B) D) (or (@ (@ tptp.ord_le72135733267957522d_enat C) A) (@ (@ tptp.ord_le72135733267957522d_enat B) D)))) (@ (@ tptp.ord_le2932123472753598470d_enat C) D)))))
% 13.98/14.27 (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.ord_less_eq_set_real A) B)) (and (@ (@ tptp.ord_less_eq_set_real C) A) (@ (@ tptp.ord_less_eq_set_real B) D) (or (@ (@ tptp.ord_less_set_real C) A) (@ (@ tptp.ord_less_set_real B) D)))) (@ (@ tptp.ord_less_eq_set_real C) D)))))
% 13.98/14.27 (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.ord_less_eq_set_nat A) B)) (and (@ (@ tptp.ord_less_eq_set_nat C) A) (@ (@ tptp.ord_less_eq_set_nat B) D) (or (@ (@ tptp.ord_less_set_nat C) A) (@ (@ tptp.ord_less_set_nat B) D)))) (@ (@ tptp.ord_less_eq_set_nat C) D)))))
% 13.98/14.27 (assume a3371 (forall ((A tptp.num) (B tptp.num) (C tptp.num) (D tptp.num)) (= (@ (@ tptp.ord_less_set_num (@ (@ tptp.set_or7049704709247886629st_num A) B)) (@ (@ tptp.set_or7049704709247886629st_num C) D)) (and (or (not (@ (@ tptp.ord_less_eq_num A) B)) (and (@ (@ tptp.ord_less_eq_num C) A) (@ (@ tptp.ord_less_eq_num B) D) (or (@ (@ tptp.ord_less_num C) A) (@ (@ tptp.ord_less_num B) D)))) (@ (@ tptp.ord_less_eq_num C) D)))))
% 13.98/14.27 (assume a3372 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (@ (@ tptp.ord_less_set_nat (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ tptp.set_or1269000886237332187st_nat C) D)) (and (or (not (@ (@ tptp.ord_less_eq_nat A) B)) (and (@ (@ tptp.ord_less_eq_nat C) A) (@ (@ tptp.ord_less_eq_nat B) D) (or (@ (@ tptp.ord_less_nat C) A) (@ (@ tptp.ord_less_nat B) D)))) (@ (@ tptp.ord_less_eq_nat C) D)))))
% 13.98/14.27 (assume a3373 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (@ (@ tptp.ord_less_set_int (@ (@ tptp.set_or1266510415728281911st_int A) B)) (@ (@ tptp.set_or1266510415728281911st_int C) D)) (and (or (not (@ (@ tptp.ord_less_eq_int A) B)) (and (@ (@ tptp.ord_less_eq_int C) A) (@ (@ tptp.ord_less_eq_int B) D) (or (@ (@ tptp.ord_less_int C) A) (@ (@ tptp.ord_less_int B) D)))) (@ (@ tptp.ord_less_eq_int C) D)))))
% 13.98/14.27 (assume a3374 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_set_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) (@ (@ tptp.set_or1222579329274155063t_real C) D)) (and (or (not (@ (@ tptp.ord_less_eq_real A) B)) (and (@ (@ tptp.ord_less_eq_real C) A) (@ (@ tptp.ord_less_eq_real B) D) (or (@ (@ tptp.ord_less_real C) A) (@ (@ tptp.ord_less_real B) D)))) (@ (@ tptp.ord_less_eq_real C) D)))))
% 13.98/14.27 (assume a3375 (forall ((A tptp.real)) (= (= (@ (@ tptp.plus_plus_real A) A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 13.98/14.27 (assume a3376 (forall ((A tptp.int)) (= (= (@ (@ tptp.plus_plus_int A) A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 13.98/14.27 (assume a3377 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se8260200283734997820nteger tptp.zero_zero_nat) A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3378 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se4203085406695923979it_int tptp.zero_zero_nat) A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3379 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se4205575877204974255it_nat tptp.zero_zero_nat) A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3380 (forall ((A tptp.real) (B tptp.real) (P (-> tptp.real tptp.real Bool))) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (forall ((A3 tptp.real) (B3 tptp.real) (C3 tptp.real)) (=> (@ (@ P A3) B3) (=> (@ (@ P B3) C3) (=> (@ (@ tptp.ord_less_eq_real A3) B3) (=> (@ (@ tptp.ord_less_eq_real B3) C3) (@ (@ P A3) C3)))))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) X5) (=> (@ (@ tptp.ord_less_eq_real X5) B) (exists ((D5 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D5) (forall ((A3 tptp.real) (B3 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real A3) X5) (@ (@ tptp.ord_less_eq_real X5) B3) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real B3) A3)) D5)) (@ (@ P A3) B3)))))))) (@ (@ P A) B))))))
% 13.98/14.27 (assume a3381 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Z) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real Y) Z)) (@ (@ tptp.ord_less_eq_real X) Y)))))
% 13.98/14.27 (assume a3382 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int X) Z)) (@ (@ tptp.times_times_int Y) Z)) (@ (@ tptp.ord_less_eq_int X) Y)))))
% 13.98/14.27 (assume a3383 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Z) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real Z) X)) (@ (@ tptp.times_times_real Z) Y)) (@ (@ tptp.ord_less_eq_real X) Y)))))
% 13.98/14.27 (assume a3384 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int Z) X)) (@ (@ tptp.times_times_int Z) Y)) (@ (@ tptp.ord_less_eq_int X) Y)))))
% 13.98/14.27 (assume a3385 (forall ((Q2 tptp.nat) (R tptp.nat)) (= (@ tptp.unique6322359934112328802ux_nat (@ (@ tptp.product_Pair_nat_nat Q2) R)) (= R tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3386 (forall ((Q2 tptp.int) (R tptp.int)) (= (@ tptp.unique6319869463603278526ux_int (@ (@ tptp.product_Pair_int_int Q2) R)) (= R tptp.zero_zero_int))))
% 13.98/14.27 (assume a3387 (= tptp.vEBT_VEBT_low (lambda ((X2 tptp.nat) (N tptp.nat)) (@ (@ tptp.modulo_modulo_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.27 (assume a3388 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.modulo_modulo_nat A) B)) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3389 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.modulo_modulo_int A) B)) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3390 (forall ((A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3391 (forall ((A tptp.int)) (= (@ (@ tptp.modulo_modulo_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3392 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) B)) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3393 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) B)) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3394 (forall ((B tptp.nat) (A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat B) A)) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3395 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int B) A)) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3396 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A) B)) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3397 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se4203085406695923979it_int N2) K)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 13.98/14.27 (assume a3398 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se4203085406695923979it_int N2) K)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3399 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (= (@ (@ tptp.modulo_modulo_nat M) N2) M))))
% 13.98/14.27 (assume a3400 (forall ((B tptp.nat) (A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat B) A)) B) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3401 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int B) A)) B) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3402 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) B)) B) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3403 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) B)) B) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3404 (forall ((A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat A) tptp.one_one_nat) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3405 (forall ((A tptp.int)) (= (@ (@ tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3406 (forall ((A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat A) tptp.one_one_nat) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3407 (forall ((A tptp.int)) (= (@ (@ tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3408 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.modulo364778990260209775nteger A) B)) B) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a3409 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.modulo_modulo_nat A) B)) B) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3410 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.modulo_modulo_int A) B)) B) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3411 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.modulo364778990260209775nteger A) B)) B) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a3412 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.modulo_modulo_nat A) B)) B) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3413 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.modulo_modulo_int A) B)) B) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3414 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) C)) A)) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3415 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) C)) A)) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3416 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat C) B)) A)) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3417 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int C) B)) A)) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3418 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat B) C))) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3419 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int B) C))) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3420 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat C) B))) B) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3421 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int C) B))) B) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3422 (forall ((M tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3423 (forall ((N2 tptp.nat) (K tptp.nat) (M tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N2) K)) M))) N2) (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2))))
% 13.98/14.27 (assume a3424 (forall ((K tptp.nat) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K) N2)) M))) N2) (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2))))
% 13.98/14.27 (assume a3425 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.plus_plus_nat M) (@ (@ tptp.times_times_nat N2) K)))) N2) (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2))))
% 13.98/14.27 (assume a3426 (forall ((M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.plus_plus_nat M) (@ (@ tptp.times_times_nat K) N2)))) N2) (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2))))
% 13.98/14.27 (assume a3427 (= (@ (@ tptp.modulo_modulo_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat))
% 13.98/14.27 (assume a3428 (= (@ (@ tptp.modulo_modulo_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int))
% 13.98/14.27 (assume a3429 (= (@ (@ tptp.modulo_modulo_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat))
% 13.98/14.27 (assume a3430 (= (@ (@ tptp.modulo_modulo_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int))
% 13.98/14.27 (assume a3431 (forall ((M tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ tptp.suc M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a3432 (forall ((K tptp.num) (N2 tptp.nat)) (=> (not (= (@ tptp.numeral_numeral_nat K) tptp.one_one_nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat K)) N2))) (@ tptp.numeral_numeral_nat K)) tptp.one_one_nat))))
% 13.98/14.27 (assume a3433 (forall ((A tptp.nat)) (= (not (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat)) (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3434 (forall ((A tptp.int)) (= (not (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int)) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3435 (forall ((A tptp.nat)) (= (not (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat)) (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 13.98/14.27 (assume a3436 (forall ((A tptp.int)) (= (not (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int))))
% 13.98/14.27 (assume a3437 (forall ((N2 tptp.nat)) (= (not (= (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc tptp.zero_zero_nat))) (= (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3438 (forall ((M tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat M) M)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3439 (forall ((M tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 13.98/14.27 (assume a3440 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) (@ (@ tptp.modulo_modulo_nat B) C))) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) B)) C))))
% 13.98/14.27 (assume a3441 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) (@ (@ tptp.modulo_modulo_int B) C))) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) B)) C))))
% 13.98/14.27 (assume a3442 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat (@ (@ tptp.modulo_modulo_nat A) C)) B)) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) B)) C))))
% 13.98/14.27 (assume a3443 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int (@ (@ tptp.modulo_modulo_int A) C)) B)) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) B)) C))))
% 13.98/14.27 (assume a3444 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.times_times_nat C) (@ (@ tptp.modulo_modulo_nat A) B)) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.times_times_nat C) B)))))
% 13.98/14.27 (assume a3445 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.times_times_int C) (@ (@ tptp.modulo_modulo_int A) B)) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)))))
% 13.98/14.27 (assume a3446 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.times_times_nat (@ (@ tptp.modulo_modulo_nat A) B)) C))))
% 13.98/14.27 (assume a3447 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.times_times_int (@ (@ tptp.modulo_modulo_int A) B)) C))))
% 13.98/14.27 (assume a3448 (forall ((A tptp.nat) (C tptp.nat) (A6 tptp.nat) (B tptp.nat) (B6 tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat A) C) (@ (@ tptp.modulo_modulo_nat A6) C)) (=> (= (@ (@ tptp.modulo_modulo_nat B) C) (@ (@ tptp.modulo_modulo_nat B6) C)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A6) B6)) C))))))
% 13.98/14.27 (assume a3449 (forall ((A tptp.int) (C tptp.int) (A6 tptp.int) (B tptp.int) (B6 tptp.int)) (=> (= (@ (@ tptp.modulo_modulo_int A) C) (@ (@ tptp.modulo_modulo_int A6) C)) (=> (= (@ (@ tptp.modulo_modulo_int B) C) (@ (@ tptp.modulo_modulo_int B6) C)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A6) B6)) C))))))
% 13.98/14.27 (assume a3450 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat (@ (@ tptp.modulo_modulo_nat A) C)) (@ (@ tptp.modulo_modulo_nat B) C))) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) B)) C))))
% 13.98/14.27 (assume a3451 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int (@ (@ tptp.modulo_modulo_int A) C)) (@ (@ tptp.modulo_modulo_int B) C))) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) B)) C))))
% 13.98/14.27 (assume a3452 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.modulo_modulo_nat B) C))) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) B)) C))))
% 13.98/14.27 (assume a3453 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) (@ (@ tptp.modulo_modulo_int B) C))) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) B)) C))))
% 13.98/14.27 (assume a3454 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) C)) B)) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) B)) C))))
% 13.98/14.27 (assume a3455 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) C)) B)) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) B)) C))))
% 13.98/14.27 (assume a3456 (forall ((A tptp.nat) (C tptp.nat) (A6 tptp.nat) (B tptp.nat) (B6 tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat A) C) (@ (@ tptp.modulo_modulo_nat A6) C)) (=> (= (@ (@ tptp.modulo_modulo_nat B) C) (@ (@ tptp.modulo_modulo_nat B6) C)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A6) B6)) C))))))
% 13.98/14.27 (assume a3457 (forall ((A tptp.int) (C tptp.int) (A6 tptp.int) (B tptp.int) (B6 tptp.int)) (=> (= (@ (@ tptp.modulo_modulo_int A) C) (@ (@ tptp.modulo_modulo_int A6) C)) (=> (= (@ (@ tptp.modulo_modulo_int B) C) (@ (@ tptp.modulo_modulo_int B6) C)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A6) B6)) C))))))
% 13.98/14.27 (assume a3458 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) C)) (@ (@ tptp.modulo_modulo_nat B) C))) C) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat A) B)) C))))
% 13.98/14.27 (assume a3459 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) C)) (@ (@ tptp.modulo_modulo_int B) C))) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int A) B)) C))))
% 13.98/14.27 (assume a3460 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A) (@ (@ tptp.modulo_modulo_int B) C))) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A) B)) C))))
% 13.98/14.27 (assume a3461 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int (@ (@ tptp.modulo_modulo_int A) C)) B)) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A) B)) C))))
% 13.98/14.27 (assume a3462 (forall ((A tptp.int) (C tptp.int) (A6 tptp.int) (B tptp.int) (B6 tptp.int)) (=> (= (@ (@ tptp.modulo_modulo_int A) C) (@ (@ tptp.modulo_modulo_int A6) C)) (=> (= (@ (@ tptp.modulo_modulo_int B) C) (@ (@ tptp.modulo_modulo_int B6) C)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A6) B6)) C))))))
% 13.98/14.27 (assume a3463 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int (@ (@ tptp.modulo_modulo_int A) C)) (@ (@ tptp.modulo_modulo_int B) C))) C) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int A) B)) C))))
% 13.98/14.27 (assume a3464 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.power_power_nat (@ (@ tptp.modulo_modulo_nat A) B)) N2)) B) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.power_power_nat A) N2)) B))))
% 13.98/14.27 (assume a3465 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.power_power_int (@ (@ tptp.modulo_modulo_int A) B)) N2)) B) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.power_power_int A) N2)) B))))
% 13.98/14.27 (assume a3466 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ tptp.suc (@ (@ tptp.modulo_modulo_nat M) N2)))) N2) (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ tptp.suc M))) N2))))
% 13.98/14.27 (assume a3467 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.modulo_modulo_nat M) N2))) N2) (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2))))
% 13.98/14.27 (assume a3468 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.modulo_modulo_nat M) N2)) M)))
% 13.98/14.27 (assume a3469 (forall ((N2 tptp.nat) (K tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se4203085406695923979it_int N2) K)) K)))
% 13.98/14.27 (assume a3470 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.modulo_modulo_nat A) B)) A))))
% 13.98/14.27 (assume a3471 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.modulo_modulo_int A) B)) A))))
% 13.98/14.27 (assume a3472 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_nat (@ (@ tptp.modulo_modulo_nat A) B)) B))))
% 13.98/14.27 (assume a3473 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_int (@ (@ tptp.modulo_modulo_int A) B)) B))))
% 13.98/14.27 (assume a3474 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat Q2)) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat Q2))))))
% 13.98/14.27 (assume a3475 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int Q2)) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int Q2))))))
% 13.98/14.27 (assume a3476 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (@ (@ tptp.modulo364778990260209775nteger A) B) A) (= (@ (@ tptp.divide6298287555418463151nteger A) B) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a3477 (forall ((A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.modulo_modulo_nat A) B) A) (= (@ (@ tptp.divide_divide_nat A) B) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3478 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.modulo_modulo_int A) B) A) (= (@ (@ tptp.divide_divide_int A) B) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3479 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat tptp.one)) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat tptp.one)))))
% 13.98/14.27 (assume a3480 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int tptp.one)) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int tptp.one)))))
% 13.98/14.27 (assume a3481 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (= (@ (@ tptp.modulo_modulo_int A) C) (@ (@ tptp.modulo_modulo_int B) C)) (not (forall ((D3 tptp.int)) (not (= B (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int C) D3)))))))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a3483 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) C)) (@ (@ tptp.divide_divide_nat B) C))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) C)) (@ (@ tptp.modulo_modulo_nat B) C))) C)))))
% 13.98/14.27 (assume a3484 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) C)) (@ (@ tptp.divide_divide_int B) C))) (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) C)) (@ (@ tptp.modulo_modulo_int B) C))) C)))))
% 13.98/14.27 (assume a3485 (forall ((M tptp.nat) (N2 tptp.nat)) (and (=> (= (@ tptp.suc (@ (@ tptp.modulo_modulo_nat M) N2)) N2) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2) tptp.zero_zero_nat)) (=> (not (= (@ tptp.suc (@ (@ tptp.modulo_modulo_nat M) N2)) N2)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc M)) N2) (@ tptp.suc (@ (@ tptp.modulo_modulo_nat M) N2)))))))
% 13.98/14.27 (assume a3486 (forall ((P (-> tptp.nat Bool)) (N2 tptp.nat) (P5 tptp.nat) (M tptp.nat)) (=> (@ P N2) (=> (@ (@ tptp.ord_less_nat N2) P5) (=> (@ (@ tptp.ord_less_nat M) P5) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N4) P5) (=> (@ P N4) (@ P (@ (@ tptp.modulo_modulo_nat (@ tptp.suc N4)) P5))))) (@ P M)))))))
% 13.98/14.27 (assume a3487 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_nat (@ (@ tptp.modulo_modulo_nat M) N2)) N2))))
% 13.98/14.27 (assume a3488 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.modulo_modulo_nat M) (@ tptp.suc N2))) N2)))
% 13.98/14.27 (assume a3489 (forall ((M tptp.nat) (D tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat M) D) tptp.zero_zero_nat) (exists ((Q3 tptp.nat)) (= M (@ (@ tptp.times_times_nat D) Q3))))))
% 13.98/14.27 (assume a3490 (= tptp.modulo_modulo_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat M6) N)) M6) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.minus_minus_nat M6) N)) N)))))
% 13.98/14.27 (assume a3491 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (not (@ (@ tptp.ord_less_nat M) N2)) (= (@ (@ tptp.modulo_modulo_nat M) N2) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.minus_minus_nat M) N2)) N2)))))
% 13.98/14.27 (assume a3492 (forall ((X tptp.nat) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.modulo_modulo_nat X) N2) (@ (@ tptp.modulo_modulo_nat Y) N2)) (exists ((Q1 tptp.nat) (Q22 tptp.nat)) (= (@ (@ tptp.plus_plus_nat X) (@ (@ tptp.times_times_nat N2) Q1)) (@ (@ tptp.plus_plus_nat Y) (@ (@ tptp.times_times_nat N2) Q22)))))))
% 13.98/14.27 (assume a3493 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.modulo_modulo_nat M) N2) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.minus_minus_nat M) N2)) N2)))))
% 13.98/14.27 (assume a3494 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat A) B) (= (@ (@ tptp.modulo_modulo_nat A) B) A)))))
% 13.98/14.27 (assume a3495 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int A) B) (= (@ (@ tptp.modulo_modulo_int A) B) A)))))
% 13.98/14.27 (assume a3496 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.modulo_modulo_nat A) B)))))
% 13.98/14.27 (assume a3497 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.modulo_modulo_int A) B)))))
% 13.98/14.27 (assume a3498 (forall ((N2 tptp.num) (Q2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) tptp.zero_zero_nat) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat Q2)) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3499 (forall ((N2 tptp.num) (Q2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) tptp.zero_zero_int) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int Q2)) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3500 (forall ((N2 tptp.num)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat tptp.one)) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a3501 (forall ((N2 tptp.num)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int tptp.one)) tptp.zero_zero_int)))
% 13.98/14.27 (assume a3502 (forall ((Q2 tptp.num) (N2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat tptp.one)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))))))
% 13.98/14.27 (assume a3503 (forall ((Q2 tptp.num) (N2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int tptp.one)) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))))))
% 13.98/14.27 (assume a3504 (forall ((M tptp.num) (Q2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat tptp.one)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))))))
% 13.98/14.27 (assume a3505 (forall ((M tptp.num) (Q2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int tptp.one)) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))))))
% 13.98/14.27 (assume a3506 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.divide6298287555418463151nteger A) B))) (@ (@ tptp.modulo364778990260209775nteger A) B)) A)))
% 13.98/14.27 (assume a3507 (forall ((B tptp.nat) (A tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) (@ (@ tptp.divide_divide_nat A) B))) (@ (@ tptp.modulo_modulo_nat A) B)) A)))
% 13.98/14.27 (assume a3508 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) (@ (@ tptp.divide_divide_int A) B))) (@ (@ tptp.modulo_modulo_int A) B)) A)))
% 13.98/14.27 (assume a3509 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A) B)) (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.divide6298287555418463151nteger A) B))) A)))
% 13.98/14.27 (assume a3510 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) B)) (@ (@ tptp.times_times_nat B) (@ (@ tptp.divide_divide_nat A) B))) A)))
% 13.98/14.27 (assume a3511 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) B)) (@ (@ tptp.times_times_int B) (@ (@ tptp.divide_divide_int A) B))) A)))
% 13.98/14.27 (assume a3512 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A) B)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) B)) A)))
% 13.98/14.27 (assume a3513 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) B)) (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) B)) A)))
% 13.98/14.27 (assume a3514 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) B)) (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) B)) A)))
% 13.98/14.27 (assume a3515 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) B)) (@ (@ tptp.modulo364778990260209775nteger A) B)) A)))
% 13.98/14.27 (assume a3516 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) B)) (@ (@ tptp.modulo_modulo_nat A) B)) A)))
% 13.98/14.27 (assume a3517 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) B)) (@ (@ tptp.modulo_modulo_int A) B)) A)))
% 13.98/14.27 (assume a3518 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= A (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) B)) (@ (@ tptp.modulo364778990260209775nteger A) B)))))
% 13.98/14.27 (assume a3519 (forall ((A tptp.nat) (B tptp.nat)) (= A (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) B)) (@ (@ tptp.modulo_modulo_nat A) B)))))
% 13.98/14.27 (assume a3520 (forall ((A tptp.int) (B tptp.int)) (= A (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) B)) (@ (@ tptp.modulo_modulo_int A) B)))))
% 13.98/14.27 (assume a3521 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) B)) (@ (@ tptp.modulo364778990260209775nteger A) B))) C) (@ (@ tptp.plus_p5714425477246183910nteger A) C))))
% 13.98/14.27 (assume a3522 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) B)) (@ (@ tptp.modulo_modulo_nat A) B))) C) (@ (@ tptp.plus_plus_nat A) C))))
% 13.98/14.27 (assume a3523 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) B)) (@ (@ tptp.modulo_modulo_int A) B))) C) (@ (@ tptp.plus_plus_int A) C))))
% 13.98/14.27 (assume a3524 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.divide6298287555418463151nteger A) B))) (@ (@ tptp.modulo364778990260209775nteger A) B))) C) (@ (@ tptp.plus_p5714425477246183910nteger A) C))))
% 13.98/14.27 (assume a3525 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) (@ (@ tptp.divide_divide_nat A) B))) (@ (@ tptp.modulo_modulo_nat A) B))) C) (@ (@ tptp.plus_plus_nat A) C))))
% 13.98/14.27 (assume a3526 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) (@ (@ tptp.divide_divide_int A) B))) (@ (@ tptp.modulo_modulo_int A) B))) C) (@ (@ tptp.plus_plus_int A) C))))
% 13.98/14.27 (assume a3527 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) B)) C) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger A) (@ (@ tptp.divide6298287555418463151nteger B) C))) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) (@ (@ tptp.modulo364778990260209775nteger B) C))) C)))))
% 13.98/14.27 (assume a3528 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) (@ (@ tptp.divide_divide_nat B) C))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) (@ (@ tptp.modulo_modulo_nat B) C))) C)))))
% 13.98/14.27 (assume a3529 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) (@ (@ tptp.divide_divide_int B) C))) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) (@ (@ tptp.modulo_modulo_int B) C))) C)))))
% 13.98/14.27 (assume a3530 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger A) (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.divide6298287555418463151nteger A) B))) (@ (@ tptp.modulo364778990260209775nteger A) B))))
% 13.98/14.27 (assume a3531 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat A) (@ (@ tptp.times_times_nat B) (@ (@ tptp.divide_divide_nat A) B))) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3532 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ (@ tptp.times_times_int B) (@ (@ tptp.divide_divide_int A) B))) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3533 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger A) (@ (@ tptp.modulo364778990260209775nteger A) B)) (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.divide6298287555418463151nteger A) B)))))
% 13.98/14.27 (assume a3534 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat A) (@ (@ tptp.modulo_modulo_nat A) B)) (@ (@ tptp.times_times_nat B) (@ (@ tptp.divide_divide_nat A) B)))))
% 13.98/14.27 (assume a3535 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ (@ tptp.modulo_modulo_int A) B)) (@ (@ tptp.times_times_int B) (@ (@ tptp.divide_divide_int A) B)))))
% 13.98/14.27 (assume a3536 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger A) (@ (@ tptp.modulo364778990260209775nteger A) B)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) B))))
% 13.98/14.27 (assume a3537 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat A) (@ (@ tptp.modulo_modulo_nat A) B)) (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) B))))
% 13.98/14.27 (assume a3538 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ (@ tptp.modulo_modulo_int A) B)) (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) B))))
% 13.98/14.27 (assume a3539 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) B)) (@ (@ tptp.modulo364778990260209775nteger A) B))))
% 13.98/14.27 (assume a3540 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.minus_minus_nat A) (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) B)) (@ (@ tptp.modulo_modulo_nat A) B))))
% 13.98/14.27 (assume a3541 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) B)) (@ (@ tptp.modulo_modulo_int A) B))))
% 13.98/14.27 (assume a3542 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.modulo_modulo_nat M) N2)) N2))))
% 13.98/14.27 (assume a3543 (forall ((X tptp.nat) (N2 tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat X) N2) (@ (@ tptp.modulo_modulo_nat Y) N2)) (=> (@ (@ tptp.ord_less_eq_nat Y) X) (exists ((Q3 tptp.nat)) (= X (@ (@ tptp.plus_plus_nat Y) (@ (@ tptp.times_times_nat N2) Q3))))))))
% 13.98/14.27 (assume a3544 (forall ((M tptp.nat) (Q2 tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat M) Q2) (@ (@ tptp.modulo_modulo_nat N2) Q2)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (not (forall ((S2 tptp.nat)) (not (= N2 (@ (@ tptp.plus_plus_nat M) (@ (@ tptp.times_times_nat Q2) S2))))))))))
% 13.98/14.27 (assume a3545 (forall ((M tptp.nat) (Q2 tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat M) Q2) (@ (@ tptp.modulo_modulo_nat N2) Q2)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (not (forall ((S2 tptp.nat)) (not (= M (@ (@ tptp.plus_plus_nat N2) (@ (@ tptp.times_times_nat Q2) S2))))))))))
% 13.98/14.27 (assume a3546 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat M) (@ (@ tptp.times_times_nat N2) Q2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N2) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.divide_divide_nat M) N2)) Q2))) (@ (@ tptp.modulo_modulo_nat M) N2)))))
% 13.98/14.27 (assume a3547 (= tptp.modulo_modulo_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.minus_minus_nat M6) (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat M6) N)) N)))))
% 13.98/14.27 (assume a3548 (forall ((P (-> tptp.nat Bool)) (M tptp.nat) (N2 tptp.nat)) (= (@ P (@ (@ tptp.modulo_modulo_nat M) N2)) (and (=> (= N2 tptp.zero_zero_nat) (@ P M)) (=> (not (= N2 tptp.zero_zero_nat)) (forall ((I5 tptp.nat) (J3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat J3) N2) (=> (= M (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N2) I5)) J3)) (@ P J3)))))))))
% 13.98/14.27 (assume a3549 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.bit_se8260200283734997820nteger (@ tptp.suc N2)) A) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se8260200283734997820nteger N2) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3550 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.bit_se4203085406695923979it_int (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se4203085406695923979it_int N2) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3551 (forall ((N2 tptp.nat) (A tptp.nat)) (= (@ (@ tptp.bit_se4205575877204974255it_nat (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se4205575877204974255it_nat N2) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3552 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) C) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.modulo364778990260209775nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C))) (@ (@ tptp.modulo364778990260209775nteger A) B))))))
% 13.98/14.27 (assume a3553 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) C) (= (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.divide_divide_nat A) B)) C))) (@ (@ tptp.modulo_modulo_nat A) B))))))
% 13.98/14.27 (assume a3554 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (= (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.divide_divide_int A) B)) C))) (@ (@ tptp.modulo_modulo_int A) B))))))
% 13.98/14.27 (assume a3555 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) M) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ (@ tptp.times_times_nat M) N2))) M) tptp.one_one_nat))))
% 13.98/14.27 (assume a3556 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) B) (= (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.modulo_modulo_nat A) B))))))
% 13.98/14.27 (assume a3557 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) B) (= (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.modulo_modulo_int A) B))))))
% 13.98/14.27 (assume a3558 (forall ((A tptp.code_integer)) (=> (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.plus_p5714425477246183910nteger A) (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a3559 (forall ((A tptp.nat)) (=> (= (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3560 (forall ((A tptp.int)) (=> (= (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.plus_plus_int A) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3561 (forall ((A tptp.code_integer) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.modulo364778990260209775nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat N2) M)))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a3562 (forall ((A tptp.nat) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat N2) M)))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a3563 (forall ((A tptp.int) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.divide_divide_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.divide_divide_int (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat N2) M)))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a3564 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B) (=> (@ (@ tptp.ord_le6747313008572928689nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B))) B) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.27 (assume a3565 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) B) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.27 (assume a3566 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_int (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) B) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.27 (assume a3567 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_nat (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M))))))
% 13.98/14.27 (assume a3568 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M))))))
% 13.98/14.27 (assume a3569 (forall ((M tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) X) (or (= (@ (@ tptp.modulo_modulo_nat X) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.modulo_modulo_nat X) M)) (= (@ (@ tptp.modulo_modulo_nat X) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat X) M)) M)))))))
% 13.98/14.27 (assume a3570 (forall ((M tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) M) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (or (= (@ (@ tptp.modulo_modulo_int X) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.modulo_modulo_int X) M)) (= (@ (@ tptp.modulo_modulo_int X) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int X) M)) M)))))))
% 13.98/14.27 (assume a3571 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_eq_nat B) (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) B) (@ (@ tptp.modulo_modulo_nat A) B)))))))
% 13.98/14.27 (assume a3572 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_eq_int B) (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) B) (@ (@ tptp.modulo_modulo_int A) B)))))))
% 13.98/14.27 (assume a3573 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.bit_se2793503036327961859nteger (@ tptp.suc N2)) A) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2793503036327961859nteger N2) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3574 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.bit_se7879613467334960850it_int (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se7879613467334960850it_int N2) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3575 (forall ((N2 tptp.nat) (A tptp.nat)) (= (@ (@ tptp.bit_se7882103937844011126it_nat (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se7882103937844011126it_nat N2) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3576 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A) (=> (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B) (=> (@ (@ tptp.ord_le3102999989581377725nteger B) (@ (@ tptp.modulo364778990260209775nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B))) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)))) tptp.one_one_Code_integer) (@ (@ tptp.divide6298287555418463151nteger A) B)))))))
% 13.98/14.27 (assume a3577 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) B) (=> (@ (@ tptp.ord_less_eq_nat B) (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)))) tptp.one_one_nat) (@ (@ tptp.divide_divide_nat A) B)))))))
% 13.98/14.27 (assume a3578 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) B) (=> (@ (@ tptp.ord_less_eq_int B) (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)))) tptp.one_one_int) (@ (@ tptp.divide_divide_int A) B)))))))
% 13.98/14.27 (assume a3579 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Z) (= (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.times_times_real Y) Z)) (@ (@ tptp.ord_less_real X) Y)))))
% 13.98/14.27 (assume a3580 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (= (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int X) Z)) (@ (@ tptp.times_times_int Y) Z)) (@ (@ tptp.ord_less_int X) Y)))))
% 13.98/14.27 (assume a3581 (forall ((A2 tptp.nat) (B2 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A2) B2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A2) N2)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.modulo_modulo_nat B2) N2) tptp.zero_zero_nat)) tptp.one_one_nat) tptp.zero_zero_nat))) (@ (@ tptp.divide_divide_nat B2) N2))))))
% 13.98/14.27 (assume a3582 (forall ((A2 tptp.nat) (N2 tptp.nat)) (= A2 (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A2) N2)) N2)) (@ (@ tptp.modulo_modulo_nat A2) N2)))))
% 13.98/14.27 (assume a3583 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.bit_se1345352211410354436nteger (@ tptp.suc N2)) A) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1345352211410354436nteger N2) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3584 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.bit_se2159334234014336723it_int (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2159334234014336723it_int N2) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3585 (forall ((N2 tptp.nat) (A tptp.nat)) (= (@ (@ tptp.bit_se2161824704523386999it_nat (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2161824704523386999it_nat N2) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a3586 (forall ((A2 tptp.nat) (B2 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A2) B2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (= (@ (@ tptp.modulo_modulo_nat A2) N2) tptp.zero_zero_nat) (=> (= (@ (@ tptp.modulo_modulo_nat B2) N2) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat (@ (@ tptp.divide_divide_nat A2) N2)) (@ (@ tptp.divide_divide_nat B2) N2))))))))
% 13.98/14.27 (assume a3587 (forall ((N2 tptp.nat) (Xs2 tptp.list_num) (Ys tptp.list_num)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_num Xs2)) (@ tptp.size_size_list_num Ys))) (= (@ (@ tptp.nth_Pr6456567536196504476um_num (@ (@ tptp.product_num_num Xs2) Ys)) N2) (@ (@ tptp.product_Pair_num_num (@ (@ tptp.nth_num Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_num Ys)))) (@ (@ tptp.nth_num Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_num Ys))))))))
% 13.98/14.27 (assume a3588 (forall ((N2 tptp.nat) (Xs2 tptp.list_Code_integer) (Ys tptp.list_o)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_s3445333598471063425nteger Xs2)) (@ tptp.size_size_list_o Ys))) (= (@ (@ tptp.nth_Pr8522763379788166057eger_o (@ (@ tptp.produc3607205314601156340eger_o Xs2) Ys)) N2) (@ (@ tptp.produc6677183202524767010eger_o (@ (@ tptp.nth_Code_integer Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_o Ys)))) (@ (@ tptp.nth_o Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_o Ys))))))))
% 13.98/14.27 (assume a3589 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_s6755466524823107622T_VEBT Ys))) (= (@ (@ tptp.nth_Pr4953567300277697838T_VEBT (@ (@ tptp.produc4743750530478302277T_VEBT Xs2) Ys)) N2) (@ (@ tptp.produc537772716801021591T_VEBT (@ (@ tptp.nth_VEBT_VEBT Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Ys)))) (@ (@ tptp.nth_VEBT_VEBT Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Ys))))))))
% 13.98/14.27 (assume a3590 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_o)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_size_list_o Ys))) (= (@ (@ tptp.nth_Pr4606735188037164562VEBT_o (@ (@ tptp.product_VEBT_VEBT_o Xs2) Ys)) N2) (@ (@ tptp.produc8721562602347293563VEBT_o (@ (@ tptp.nth_VEBT_VEBT Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_o Ys)))) (@ (@ tptp.nth_o Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_o Ys))))))))
% 13.98/14.27 (assume a3591 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_size_list_nat Ys))) (= (@ (@ tptp.nth_Pr1791586995822124652BT_nat (@ (@ tptp.produc7295137177222721919BT_nat Xs2) Ys)) N2) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ tptp.nth_VEBT_VEBT Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_nat Ys)))) (@ (@ tptp.nth_nat Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_nat Ys))))))))
% 13.98/14.27 (assume a3592 (forall ((N2 tptp.nat) (Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_int)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_size_list_int Ys))) (= (@ (@ tptp.nth_Pr6837108013167703752BT_int (@ (@ tptp.produc7292646706713671643BT_int Xs2) Ys)) N2) (@ (@ tptp.produc736041933913180425BT_int (@ (@ tptp.nth_VEBT_VEBT Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_int Ys)))) (@ (@ tptp.nth_int Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_int Ys))))))))
% 13.98/14.27 (assume a3593 (forall ((N2 tptp.nat) (Xs2 tptp.list_o) (Ys tptp.list_VEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_s6755466524823107622T_VEBT Ys))) (= (@ (@ tptp.nth_Pr6777367263587873994T_VEBT (@ (@ tptp.product_o_VEBT_VEBT Xs2) Ys)) N2) (@ (@ tptp.produc2982872950893828659T_VEBT (@ (@ tptp.nth_o Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Ys)))) (@ (@ tptp.nth_VEBT_VEBT Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_s6755466524823107622T_VEBT Ys))))))))
% 13.98/14.27 (assume a3594 (forall ((N2 tptp.nat) (Xs2 tptp.list_o) (Ys tptp.list_o)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_size_list_o Ys))) (= (@ (@ tptp.nth_Product_prod_o_o (@ (@ tptp.product_o_o Xs2) Ys)) N2) (@ (@ tptp.product_Pair_o_o (@ (@ tptp.nth_o Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_o Ys)))) (@ (@ tptp.nth_o Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_o Ys))))))))
% 13.98/14.27 (assume a3595 (forall ((N2 tptp.nat) (Xs2 tptp.list_o) (Ys tptp.list_nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_size_list_nat Ys))) (= (@ (@ tptp.nth_Pr5826913651314560976_o_nat (@ (@ tptp.product_o_nat Xs2) Ys)) N2) (@ (@ tptp.product_Pair_o_nat (@ (@ tptp.nth_o Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_nat Ys)))) (@ (@ tptp.nth_nat Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_nat Ys))))))))
% 13.98/14.27 (assume a3596 (forall ((N2 tptp.nat) (Xs2 tptp.list_o) (Ys tptp.list_int)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_size_list_int Ys))) (= (@ (@ tptp.nth_Pr1649062631805364268_o_int (@ (@ tptp.product_o_int Xs2) Ys)) N2) (@ (@ tptp.product_Pair_o_int (@ (@ tptp.nth_o Xs2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.size_size_list_int Ys)))) (@ (@ tptp.nth_int Ys) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.size_size_list_int Ys))))))))
% 13.98/14.27 (assume a3597 (forall ((X tptp.nat) (Z tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_nat X) Z) (=> (@ (@ tptp.vEBT_VEBT_max_in_set A2) Z) (=> (@ tptp.finite_finite_nat B2) (=> (= A2 B2) (exists ((X_1 tptp.nat)) (@ (@ (@ tptp.vEBT_is_succ_in_set A2) X) X_1))))))))
% 13.98/14.27 (assume a3598 (forall ((Z tptp.nat) (X tptp.nat) (A2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_nat Z) X) (=> (@ (@ tptp.vEBT_VEBT_min_in_set A2) Z) (=> (@ tptp.finite_finite_nat A2) (exists ((X_1 tptp.nat)) (@ (@ (@ tptp.vEBT_is_pred_in_set A2) X) X_1)))))))
% 13.98/14.27 (assume a3599 (forall ((T tptp.vEBT_VEBT) (N2 tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) N2) (@ tptp.finite_finite_nat (@ tptp.vEBT_VEBT_set_vebt T)))))
% 13.98/14.27 (assume a3600 (forall ((Xs2 tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_1 tptp.nat)) (@ (@ (@ tptp.vEBT_is_pred_in_set Xs2) A) X_1))) (=> (@ tptp.finite_finite_nat Xs2) (not (exists ((X3 tptp.nat)) (and (@ (@ tptp.member_nat X3) Xs2) (@ (@ tptp.ord_less_nat X3) A))))))))
% 13.98/14.27 (assume a3601 (forall ((Xs2 tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_1 tptp.nat)) (@ (@ (@ tptp.vEBT_is_succ_in_set Xs2) A) X_1))) (=> (@ tptp.finite_finite_nat Xs2) (not (exists ((X3 tptp.nat)) (and (@ (@ tptp.member_nat X3) Xs2) (@ (@ tptp.ord_less_nat A) X3))))))))
% 13.98/14.27 (assume a3602 (forall ((X22 tptp.num) (Y22 tptp.num)) (= (= (@ tptp.bit0 X22) (@ tptp.bit0 Y22)) (= X22 Y22))))
% 13.98/14.27 (assume a3603 (forall ((A tptp.code_integer) (B Bool) (A6 tptp.code_integer) (B6 Bool)) (= (= (@ (@ tptp.produc6677183202524767010eger_o A) B) (@ (@ tptp.produc6677183202524767010eger_o A6) B6)) (and (= A A6) (= B B6)))))
% 13.98/14.27 (assume a3604 (forall ((A tptp.num) (B tptp.num) (A6 tptp.num) (B6 tptp.num)) (= (= (@ (@ tptp.product_Pair_num_num A) B) (@ (@ tptp.product_Pair_num_num A6) B6)) (and (= A A6) (= B B6)))))
% 13.98/14.27 (assume a3605 (forall ((A tptp.nat) (B tptp.num) (A6 tptp.nat) (B6 tptp.num)) (= (= (@ (@ tptp.product_Pair_nat_num A) B) (@ (@ tptp.product_Pair_nat_num A6) B6)) (and (= A A6) (= B B6)))))
% 13.98/14.27 (assume a3606 (forall ((A tptp.nat) (B tptp.nat) (A6 tptp.nat) (B6 tptp.nat)) (= (= (@ (@ tptp.product_Pair_nat_nat A) B) (@ (@ tptp.product_Pair_nat_nat A6) B6)) (and (= A A6) (= B B6)))))
% 13.98/14.27 (assume a3607 (forall ((A tptp.int) (B tptp.int) (A6 tptp.int) (B6 tptp.int)) (= (= (@ (@ tptp.product_Pair_int_int A) B) (@ (@ tptp.product_Pair_int_int A6) B6)) (and (= A A6) (= B B6)))))
% 13.98/14.27 (assume a3608 (forall ((X1 tptp.code_integer) (X22 Bool) (Y1 tptp.code_integer) (Y22 Bool)) (= (= (@ (@ tptp.produc6677183202524767010eger_o X1) X22) (@ (@ tptp.produc6677183202524767010eger_o Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a3611 (forall ((X1 tptp.nat) (X22 tptp.nat) (Y1 tptp.nat) (Y22 tptp.nat)) (= (= (@ (@ tptp.product_Pair_nat_nat X1) X22) (@ (@ tptp.product_Pair_nat_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 13.98/14.27 (assume a3612 (forall ((X1 tptp.int) (X22 tptp.int) (Y1 tptp.int) (Y22 tptp.int)) (= (= (@ (@ tptp.product_Pair_int_int X1) X22) (@ (@ tptp.product_Pair_int_int Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 13.98/14.27 (assume a3613 (forall ((Xs2 tptp.list_VEBT_VEBT)) (@ tptp.finite5795047828879050333T_VEBT (@ tptp.set_VEBT_VEBT2 Xs2))))
% 13.98/14.27 (assume a3614 (forall ((Xs2 tptp.list_int)) (@ tptp.finite_finite_int (@ tptp.set_int2 Xs2))))
% 13.98/14.27 (assume a3615 (forall ((Xs2 tptp.list_nat)) (@ tptp.finite_finite_nat (@ tptp.set_nat2 Xs2))))
% 13.98/14.27 (assume a3616 (forall ((Xs2 tptp.list_complex)) (@ tptp.finite3207457112153483333omplex (@ tptp.set_complex2 Xs2))))
% 13.98/14.27 (assume a3617 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se2159334234014336723it_int N2) K)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 13.98/14.27 (assume a3618 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se2159334234014336723it_int N2) K)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3619 (forall ((A tptp.real) (B tptp.real)) (= (not (@ tptp.finite_finite_real (@ (@ tptp.set_or1222579329274155063t_real A) B))) (@ (@ tptp.ord_less_real A) B))))
% 13.98/14.27 (assume a3620 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (=> (@ (@ tptp.ord_less_int K) L2) (= (@ (@ tptp.modulo_modulo_int K) L2) K)))))
% 13.98/14.27 (assume a3621 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int K) tptp.zero_zero_int) (=> (@ (@ tptp.ord_less_int L2) K) (= (@ (@ tptp.modulo_modulo_int K) L2) K)))))
% 13.98/14.27 (assume a3622 (forall ((Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (= (@ tptp.size_s7466405169056248089T_VEBT (@ (@ tptp.produc4743750530478302277T_VEBT Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_s6755466524823107622T_VEBT Ys)))))
% 13.98/14.27 (assume a3623 (forall ((Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_o)) (= (@ tptp.size_s9168528473962070013VEBT_o (@ (@ tptp.product_VEBT_VEBT_o Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_size_list_o Ys)))))
% 13.98/14.27 (assume a3624 (forall ((Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_nat)) (= (@ tptp.size_s6152045936467909847BT_nat (@ (@ tptp.produc7295137177222721919BT_nat Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_size_list_nat Ys)))))
% 13.98/14.27 (assume a3625 (forall ((Xs2 tptp.list_VEBT_VEBT) (Ys tptp.list_int)) (= (@ tptp.size_s3661962791536183091BT_int (@ (@ tptp.produc7292646706713671643BT_int Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_s6755466524823107622T_VEBT Xs2)) (@ tptp.size_size_list_int Ys)))))
% 13.98/14.27 (assume a3626 (forall ((Xs2 tptp.list_o) (Ys tptp.list_VEBT_VEBT)) (= (@ tptp.size_s4313452262239582901T_VEBT (@ (@ tptp.product_o_VEBT_VEBT Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_s6755466524823107622T_VEBT Ys)))))
% 13.98/14.27 (assume a3627 (forall ((Xs2 tptp.list_o) (Ys tptp.list_o)) (= (@ tptp.size_s1515746228057227161od_o_o (@ (@ tptp.product_o_o Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_size_list_o Ys)))))
% 13.98/14.27 (assume a3628 (forall ((Xs2 tptp.list_o) (Ys tptp.list_nat)) (= (@ tptp.size_s5443766701097040955_o_nat (@ (@ tptp.product_o_nat Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_size_list_nat Ys)))))
% 13.98/14.27 (assume a3629 (forall ((Xs2 tptp.list_o) (Ys tptp.list_int)) (= (@ tptp.size_s2953683556165314199_o_int (@ (@ tptp.product_o_int Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_o Xs2)) (@ tptp.size_size_list_int Ys)))))
% 13.98/14.27 (assume a3630 (forall ((Xs2 tptp.list_nat) (Ys tptp.list_VEBT_VEBT)) (= (@ tptp.size_s4762443039079500285T_VEBT (@ (@ tptp.produc7156399406898700509T_VEBT Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_nat Xs2)) (@ tptp.size_s6755466524823107622T_VEBT Ys)))))
% 13.98/14.27 (assume a3631 (forall ((Xs2 tptp.list_nat) (Ys tptp.list_o)) (= (@ tptp.size_s6491369823275344609_nat_o (@ (@ tptp.product_nat_o Xs2) Ys)) (@ (@ tptp.times_times_nat (@ tptp.size_size_list_nat Xs2)) (@ tptp.size_size_list_o Ys)))))
% 13.98/14.27 (assume a3632 (forall ((V tptp.num) (W tptp.num)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 V))) (@ tptp.numeral_numeral_int (@ tptp.bit0 W))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int W))))))
% 13.98/14.27 (assume a3633 (forall ((N3 tptp.set_nat) (N2 tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) N3) (@ (@ tptp.ord_less_nat X5) N2))) (@ tptp.finite_finite_nat N3))))
% 13.98/14.27 (assume a3634 (= tptp.finite_finite_nat (lambda ((N6 tptp.set_nat)) (exists ((M6 tptp.nat)) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) N6) (@ (@ tptp.ord_less_nat X2) M6)))))))
% 13.98/14.27 (assume a3635 (= tptp.finite_finite_nat (lambda ((N6 tptp.set_nat)) (exists ((M6 tptp.nat)) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) N6) (@ (@ tptp.ord_less_eq_nat X2) M6)))))))
% 13.98/14.27 (assume a3636 (forall ((A2 tptp.set_VEBT_VEBT)) (=> (@ tptp.finite5795047828879050333T_VEBT A2) (exists ((Xs3 tptp.list_VEBT_VEBT)) (= (@ tptp.set_VEBT_VEBT2 Xs3) A2)))))
% 13.98/14.27 (assume a3637 (forall ((A2 tptp.set_int)) (=> (@ tptp.finite_finite_int A2) (exists ((Xs3 tptp.list_int)) (= (@ tptp.set_int2 Xs3) A2)))))
% 13.98/14.27 (assume a3638 (forall ((A2 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A2) (exists ((Xs3 tptp.list_nat)) (= (@ tptp.set_nat2 Xs3) A2)))))
% 13.98/14.27 (assume a3639 (forall ((A2 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (exists ((Xs3 tptp.list_complex)) (= (@ tptp.set_complex2 Xs3) A2)))))
% 13.98/14.27 (assume a3640 (forall ((P (-> tptp.nat Bool)) (I2 tptp.nat)) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (and (@ P K3) (@ (@ tptp.ord_less_nat K3) I2)))))))
% 13.98/14.27 (assume a3641 (forall ((F (-> tptp.nat tptp.nat)) (U tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat N4) (@ F N4))) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((N tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ F N)) U)))))))
% 13.98/14.27 (assume a3642 (forall ((A2 tptp.set_complex) (N2 tptp.nat)) (=> (@ tptp.finite3207457112153483333omplex A2) (@ tptp.finite8712137658972009173omplex (@ tptp.collect_list_complex (lambda ((Xs tptp.list_complex)) (and (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.set_complex2 Xs)) A2) (= (@ tptp.size_s3451745648224563538omplex Xs) N2))))))))
% 13.98/14.27 (assume a3643 (forall ((A2 tptp.set_VEBT_VEBT) (N2 tptp.nat)) (=> (@ tptp.finite5795047828879050333T_VEBT A2) (@ tptp.finite3004134309566078307T_VEBT (@ tptp.collec5608196760682091941T_VEBT (lambda ((Xs tptp.list_VEBT_VEBT)) (and (@ (@ tptp.ord_le4337996190870823476T_VEBT (@ tptp.set_VEBT_VEBT2 Xs)) A2) (= (@ tptp.size_s6755466524823107622T_VEBT Xs) N2))))))))
% 13.98/14.27 (assume a3644 (forall ((A2 tptp.set_o) (N2 tptp.nat)) (=> (@ tptp.finite_finite_o A2) (@ tptp.finite_finite_list_o (@ tptp.collect_list_o (lambda ((Xs tptp.list_o)) (and (@ (@ tptp.ord_less_eq_set_o (@ tptp.set_o2 Xs)) A2) (= (@ tptp.size_size_list_o Xs) N2))))))))
% 13.98/14.27 (assume a3645 (forall ((A2 tptp.set_int) (N2 tptp.nat)) (=> (@ tptp.finite_finite_int A2) (@ tptp.finite3922522038869484883st_int (@ tptp.collect_list_int (lambda ((Xs tptp.list_int)) (and (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 Xs)) A2) (= (@ tptp.size_size_list_int Xs) N2))))))))
% 13.98/14.27 (assume a3646 (forall ((A2 tptp.set_real) (N2 tptp.nat)) (=> (@ tptp.finite_finite_real A2) (@ tptp.finite306553202115118035t_real (@ tptp.collect_list_real (lambda ((Xs tptp.list_real)) (and (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 Xs)) A2) (= (@ tptp.size_size_list_real Xs) N2))))))))
% 13.98/14.27 (assume a3647 (forall ((A2 tptp.set_nat) (N2 tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (@ tptp.finite8100373058378681591st_nat (@ tptp.collect_list_nat (lambda ((Xs tptp.list_nat)) (and (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 Xs)) A2) (= (@ tptp.size_size_list_nat Xs) N2))))))))
% 13.98/14.27 (assume a3648 (forall ((L2 tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int) (@ (@ tptp.ord_less_int L2) (@ (@ tptp.modulo_modulo_int K) L2)))))
% 13.98/14.27 (assume a3649 (forall ((L2 tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) L2) (@ (@ tptp.ord_less_int (@ (@ tptp.modulo_modulo_int K) L2)) L2))))
% 13.98/14.27 (assume a3650 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (not (@ tptp.finite_finite_real (@ (@ tptp.set_or1222579329274155063t_real A) B))))))
% 13.98/14.27 (assume a3651 (forall ((A2 tptp.set_complex) (N2 tptp.nat)) (=> (@ tptp.finite3207457112153483333omplex A2) (@ tptp.finite8712137658972009173omplex (@ tptp.collect_list_complex (lambda ((Xs tptp.list_complex)) (and (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.set_complex2 Xs)) A2) (@ (@ tptp.ord_less_eq_nat (@ tptp.size_s3451745648224563538omplex Xs)) N2))))))))
% 13.98/14.27 (assume a3652 (forall ((A2 tptp.set_VEBT_VEBT) (N2 tptp.nat)) (=> (@ tptp.finite5795047828879050333T_VEBT A2) (@ tptp.finite3004134309566078307T_VEBT (@ tptp.collec5608196760682091941T_VEBT (lambda ((Xs tptp.list_VEBT_VEBT)) (and (@ (@ tptp.ord_le4337996190870823476T_VEBT (@ tptp.set_VEBT_VEBT2 Xs)) A2) (@ (@ tptp.ord_less_eq_nat (@ tptp.size_s6755466524823107622T_VEBT Xs)) N2))))))))
% 13.98/14.27 (assume a3653 (forall ((A2 tptp.set_o) (N2 tptp.nat)) (=> (@ tptp.finite_finite_o A2) (@ tptp.finite_finite_list_o (@ tptp.collect_list_o (lambda ((Xs tptp.list_o)) (and (@ (@ tptp.ord_less_eq_set_o (@ tptp.set_o2 Xs)) A2) (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_o Xs)) N2))))))))
% 13.98/14.27 (assume a3654 (forall ((A2 tptp.set_int) (N2 tptp.nat)) (=> (@ tptp.finite_finite_int A2) (@ tptp.finite3922522038869484883st_int (@ tptp.collect_list_int (lambda ((Xs tptp.list_int)) (and (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 Xs)) A2) (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_int Xs)) N2))))))))
% 13.98/14.27 (assume a3655 (forall ((A2 tptp.set_real) (N2 tptp.nat)) (=> (@ tptp.finite_finite_real A2) (@ tptp.finite306553202115118035t_real (@ tptp.collect_list_real (lambda ((Xs tptp.list_real)) (and (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 Xs)) A2) (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_real Xs)) N2))))))))
% 13.98/14.27 (assume a3656 (forall ((A2 tptp.set_nat) (N2 tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (@ tptp.finite8100373058378681591st_nat (@ tptp.collect_list_nat (lambda ((Xs tptp.list_nat)) (and (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 Xs)) A2) (@ (@ tptp.ord_less_eq_nat (@ tptp.size_size_list_nat Xs)) N2))))))))
% 13.98/14.27 (assume a3657 (forall ((L2 tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) L2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.modulo_modulo_int K) L2)))))
% 13.98/14.27 (assume a3658 (forall ((L2 tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.modulo_modulo_int K) L2)) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3659 (forall ((A tptp.num) (B tptp.num)) (or (= A B) (not (@ (@ tptp.ord_less_eq_num A) B)) (not (@ (@ tptp.ord_less_eq_num B) A)))))
% 13.98/14.27 (assume a3660 (forall ((A tptp.nat) (B tptp.nat)) (or (= A B) (not (@ (@ tptp.ord_less_eq_nat A) B)) (not (@ (@ tptp.ord_less_eq_nat B) A)))))
% 13.98/14.27 (assume a3661 (forall ((A tptp.int) (B tptp.int)) (or (= A B) (not (@ (@ tptp.ord_less_eq_int A) B)) (not (@ (@ tptp.ord_less_eq_int B) A)))))
% 13.98/14.27 (assume a3662 (forall ((A tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real A) A)))
% 13.98/14.27 (assume a3663 (forall ((A tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat A) A)))
% 13.98/14.27 (assume a3664 (forall ((A tptp.num)) (@ (@ tptp.ord_less_eq_num A) A)))
% 13.98/14.27 (assume a3665 (forall ((A tptp.nat)) (@ (@ tptp.ord_less_eq_nat A) A)))
% 13.98/14.27 (assume a3666 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int A) A)))
% 13.98/14.27 (assume a3667 (forall ((A tptp.extended_enat)) (not (@ (@ tptp.ord_le72135733267957522d_enat A) A))))
% 13.98/14.27 (assume a3668 (forall ((A tptp.real)) (not (@ (@ tptp.ord_less_real A) A))))
% 13.98/14.27 (assume a3669 (forall ((A tptp.num)) (not (@ (@ tptp.ord_less_num A) A))))
% 13.98/14.27 (assume a3670 (forall ((A tptp.nat)) (not (@ (@ tptp.ord_less_nat A) A))))
% 13.98/14.27 (assume a3671 (forall ((A tptp.int)) (not (@ (@ tptp.ord_less_int A) A))))
% 13.98/14.27 (assume a3672 (forall ((A tptp.code_integer) (B Bool) (A6 tptp.code_integer) (B6 Bool)) (=> (= (@ (@ tptp.produc6677183202524767010eger_o A) B) (@ (@ tptp.produc6677183202524767010eger_o A6) B6)) (not (=> (= A A6) (= B (not B6)))))))
% 13.98/14.27 (assume a3673 (forall ((A tptp.num) (B tptp.num) (A6 tptp.num) (B6 tptp.num)) (=> (= (@ (@ tptp.product_Pair_num_num A) B) (@ (@ tptp.product_Pair_num_num A6) B6)) (not (=> (= A A6) (not (= B B6)))))))
% 13.98/14.27 (assume a3674 (forall ((A tptp.nat) (B tptp.num) (A6 tptp.nat) (B6 tptp.num)) (=> (= (@ (@ tptp.product_Pair_nat_num A) B) (@ (@ tptp.product_Pair_nat_num A6) B6)) (not (=> (= A A6) (not (= B B6)))))))
% 13.98/14.27 (assume a3675 (forall ((A tptp.nat) (B tptp.nat) (A6 tptp.nat) (B6 tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat A) B) (@ (@ tptp.product_Pair_nat_nat A6) B6)) (not (=> (= A A6) (not (= B B6)))))))
% 13.98/14.27 (assume a3676 (forall ((A tptp.int) (B tptp.int) (A6 tptp.int) (B6 tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int A) B) (@ (@ tptp.product_Pair_int_int A6) B6)) (not (=> (= A A6) (not (= B B6)))))))
% 13.98/14.27 (assume a3677 (forall ((P (-> tptp.produc6271795597528267376eger_o Bool)) (P5 tptp.produc6271795597528267376eger_o)) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (@ P (@ (@ tptp.produc6677183202524767010eger_o A3) B3))) (@ P P5))))
% 13.98/14.27 (assume a3678 (forall ((P (-> tptp.product_prod_num_num Bool)) (P5 tptp.product_prod_num_num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (@ P (@ (@ tptp.product_Pair_num_num A3) B3))) (@ P P5))))
% 13.98/14.27 (assume a3679 (forall ((P (-> tptp.product_prod_nat_num Bool)) (P5 tptp.product_prod_nat_num)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (@ P (@ (@ tptp.product_Pair_nat_num A3) B3))) (@ P P5))))
% 13.98/14.27 (assume a3680 (forall ((P (-> tptp.product_prod_nat_nat Bool)) (P5 tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (@ P (@ (@ tptp.product_Pair_nat_nat A3) B3))) (@ P P5))))
% 13.98/14.27 (assume a3681 (forall ((P (-> tptp.product_prod_int_int Bool)) (P5 tptp.product_prod_int_int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (@ P (@ (@ tptp.product_Pair_int_int A3) B3))) (@ P P5))))
% 13.98/14.27 (assume a3682 (forall ((P5 tptp.produc6271795597528267376eger_o)) (exists ((X5 tptp.code_integer) (Y5 Bool)) (= P5 (@ (@ tptp.produc6677183202524767010eger_o X5) Y5)))))
% 13.98/14.27 (assume a3683 (forall ((P5 tptp.product_prod_num_num)) (exists ((X5 tptp.num) (Y5 tptp.num)) (= P5 (@ (@ tptp.product_Pair_num_num X5) Y5)))))
% 13.98/14.27 (assume a3684 (forall ((P5 tptp.product_prod_nat_num)) (exists ((X5 tptp.nat) (Y5 tptp.num)) (= P5 (@ (@ tptp.product_Pair_nat_num X5) Y5)))))
% 13.98/14.27 (assume a3685 (forall ((P5 tptp.product_prod_nat_nat)) (exists ((X5 tptp.nat) (Y5 tptp.nat)) (= P5 (@ (@ tptp.product_Pair_nat_nat X5) Y5)))))
% 13.98/14.27 (assume a3686 (forall ((P5 tptp.product_prod_int_int)) (exists ((X5 tptp.int) (Y5 tptp.int)) (= P5 (@ (@ tptp.product_Pair_int_int X5) Y5)))))
% 13.98/14.27 (assume a3687 (forall ((Y tptp.produc6271795597528267376eger_o)) (not (forall ((A3 tptp.code_integer) (B3 Bool)) (not (= Y (@ (@ tptp.produc6677183202524767010eger_o A3) B3)))))))
% 13.98/14.27 (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)))))))
% 13.98/14.27 (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)))))))
% 13.98/14.27 (assume a3690 (forall ((Y tptp.product_prod_nat_nat)) (not (forall ((A3 tptp.nat) (B3 tptp.nat)) (not (= Y (@ (@ tptp.product_Pair_nat_nat A3) B3)))))))
% 13.98/14.27 (assume a3691 (forall ((Y tptp.product_prod_int_int)) (not (forall ((A3 tptp.int) (B3 tptp.int)) (not (= Y (@ (@ tptp.product_Pair_int_int A3) B3)))))))
% 13.98/14.27 (assume a3692 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) K) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int K) L2)) tptp.zero_zero_int) (= (@ (@ tptp.modulo_modulo_int K) L2) (@ (@ tptp.plus_plus_int K) L2))))))
% 13.98/14.27 (assume a3693 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) C) (= (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int B) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.divide_divide_int A) B)) C))) (@ (@ tptp.modulo_modulo_int A) B))))))
% 13.98/14.27 (assume a3694 (forall ((B6 tptp.extended_enat) (A6 tptp.extended_enat)) (= (not (@ (@ tptp.ord_le2932123472753598470d_enat B6) A6)) (@ (@ tptp.ord_le72135733267957522d_enat A6) B6))))
% 13.98/14.27 (assume a3695 (forall ((B6 tptp.real) (A6 tptp.real)) (= (not (@ (@ tptp.ord_less_eq_real B6) A6)) (@ (@ tptp.ord_less_real A6) B6))))
% 13.98/14.27 (assume a3696 (forall ((B6 tptp.num) (A6 tptp.num)) (= (not (@ (@ tptp.ord_less_eq_num B6) A6)) (@ (@ tptp.ord_less_num A6) B6))))
% 13.98/14.27 (assume a3697 (forall ((B6 tptp.nat) (A6 tptp.nat)) (= (not (@ (@ tptp.ord_less_eq_nat B6) A6)) (@ (@ tptp.ord_less_nat A6) B6))))
% 13.98/14.27 (assume a3698 (forall ((B6 tptp.int) (A6 tptp.int)) (= (not (@ (@ tptp.ord_less_eq_int B6) A6)) (@ (@ tptp.ord_less_int A6) B6))))
% 13.98/14.27 (assume a3699 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 13.98/14.27 (assume a3700 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 13.98/14.27 (assume a3701 (forall ((A tptp.nat)) (= (@ (@ tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 13.98/14.27 (assume a3702 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 13.98/14.27 (assume a3703 (forall ((X22 tptp.num)) (not (= tptp.one (@ tptp.bit0 X22)))))
% 13.98/14.27 (assume a3704 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_int B) A)))))))
% 13.98/14.27 (assume a3705 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int B) tptp.one_one_int)) A))) tptp.one_one_int)))))
% 13.98/14.27 (assume a3706 (= tptp.ord_ma741700101516333627d_enat (lambda ((A4 tptp.extended_enat) (B4 tptp.extended_enat)) (@ (@ (@ tptp.if_Extended_enat (@ (@ tptp.ord_le2932123472753598470d_enat A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3707 (= tptp.ord_max_Code_integer (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le3102999989581377725nteger A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3708 (= tptp.ord_max_set_real (lambda ((A4 tptp.set_real) (B4 tptp.set_real)) (@ (@ (@ tptp.if_set_real (@ (@ tptp.ord_less_eq_set_real A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3709 (= tptp.ord_max_set_nat (lambda ((A4 tptp.set_nat) (B4 tptp.set_nat)) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.ord_less_eq_set_nat A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3710 (= tptp.ord_max_num (lambda ((A4 tptp.num) (B4 tptp.num)) (@ (@ (@ tptp.if_num (@ (@ tptp.ord_less_eq_num A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3711 (= tptp.ord_max_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_eq_nat A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3712 (= tptp.ord_max_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_eq_int A4) B4)) B4) A4))))
% 13.98/14.27 (assume a3713 (forall ((K tptp.nat)) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((N tptp.nat)) (@ (@ tptp.ord_less_eq_nat N) K))))))
% 13.98/14.27 (assume a3714 (forall ((K tptp.nat)) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((N tptp.nat)) (@ (@ tptp.ord_less_nat N) K))))))
% 13.98/14.27 (assume a3715 (forall ((A2 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (@ tptp.finite6551019134538273531omplex (@ tptp.collect_set_complex (lambda ((B5 tptp.set_complex)) (@ (@ tptp.ord_le211207098394363844omplex B5) A2)))))))
% 13.98/14.27 (assume a3716 (forall ((A2 tptp.set_real)) (=> (@ tptp.finite_finite_real A2) (@ tptp.finite9007344921179782393t_real (@ tptp.collect_set_real (lambda ((B5 tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real B5) A2)))))))
% 13.98/14.27 (assume a3717 (forall ((A2 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A2) (@ tptp.finite1152437895449049373et_nat (@ tptp.collect_set_nat (lambda ((B5 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat B5) A2)))))))
% 13.98/14.27 (assume a3718 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((Z5 tptp.real)) (= (@ (@ tptp.power_power_real Z5) N2) tptp.one_one_real)))))))
% 13.98/14.27 (assume a3719 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) tptp.one_one_complex)))))))
% 13.98/14.27 (assume a3720 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.extended_enat)) (Y (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ X I5) tptp.one_on7984719198319812577d_enat)))))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ Y I5) tptp.one_on7984719198319812577d_enat)))))) (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ (@ tptp.times_7803423173614009249d_enat (@ X I5)) (@ Y I5)) tptp.one_on7984719198319812577d_enat))))))))))
% 13.98/14.27 (assume a3721 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.extended_enat)) (Y (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ X I5) tptp.one_on7984719198319812577d_enat)))))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ Y I5) tptp.one_on7984719198319812577d_enat)))))) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ (@ tptp.times_7803423173614009249d_enat (@ X I5)) (@ Y I5)) tptp.one_on7984719198319812577d_enat))))))))))
% 13.98/14.27 (assume a3722 (forall ((I6 tptp.set_nat) (X (-> tptp.nat tptp.extended_enat)) (Y (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ X I5) tptp.one_on7984719198319812577d_enat)))))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ Y I5) tptp.one_on7984719198319812577d_enat)))))) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ (@ tptp.times_7803423173614009249d_enat (@ X I5)) (@ Y I5)) tptp.one_on7984719198319812577d_enat))))))))))
% 13.98/14.27 (assume a3723 (forall ((I6 tptp.set_complex) (X (-> tptp.complex tptp.extended_enat)) (Y (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ X I5) tptp.one_on7984719198319812577d_enat)))))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ Y I5) tptp.one_on7984719198319812577d_enat)))))) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ (@ tptp.times_7803423173614009249d_enat (@ X I5)) (@ Y I5)) tptp.one_on7984719198319812577d_enat))))))))))
% 13.98/14.27 (assume a3724 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.complex)) (Y (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ X I5) tptp.one_one_complex)))))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ Y I5) tptp.one_one_complex)))))) (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ (@ tptp.times_times_complex (@ X I5)) (@ Y I5)) tptp.one_one_complex))))))))))
% 13.98/14.27 (assume a3725 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.complex)) (Y (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ X I5) tptp.one_one_complex)))))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ Y I5) tptp.one_one_complex)))))) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ (@ tptp.times_times_complex (@ X I5)) (@ Y I5)) tptp.one_one_complex))))))))))
% 13.98/14.27 (assume a3726 (forall ((I6 tptp.set_nat) (X (-> tptp.nat tptp.complex)) (Y (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ X I5) tptp.one_one_complex)))))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ Y I5) tptp.one_one_complex)))))) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ (@ tptp.times_times_complex (@ X I5)) (@ Y I5)) tptp.one_one_complex))))))))))
% 13.98/14.27 (assume a3727 (forall ((I6 tptp.set_complex) (X (-> tptp.complex tptp.complex)) (Y (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ X I5) tptp.one_one_complex)))))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ Y I5) tptp.one_one_complex)))))) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ (@ tptp.times_times_complex (@ X I5)) (@ Y I5)) tptp.one_one_complex))))))))))
% 13.98/14.27 (assume a3728 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.real)) (Y (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ X I5) tptp.one_one_real)))))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ Y I5) tptp.one_one_real)))))) (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ (@ tptp.times_times_real (@ X I5)) (@ Y I5)) tptp.one_one_real))))))))))
% 13.98/14.27 (assume a3729 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.real)) (Y (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ X I5) tptp.one_one_real)))))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ Y I5) tptp.one_one_real)))))) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ (@ tptp.times_times_real (@ X I5)) (@ Y I5)) tptp.one_one_real))))))))))
% 13.98/14.27 (assume a3730 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.extended_enat)) (Y (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ X I5) tptp.zero_z5237406670263579293d_enat)))))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ Y I5) tptp.zero_z5237406670263579293d_enat)))))) (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ X I5)) (@ Y I5)) tptp.zero_z5237406670263579293d_enat))))))))))
% 13.98/14.27 (assume a3731 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.extended_enat)) (Y (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ X I5) tptp.zero_z5237406670263579293d_enat)))))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ Y I5) tptp.zero_z5237406670263579293d_enat)))))) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ X I5)) (@ Y I5)) tptp.zero_z5237406670263579293d_enat))))))))))
% 13.98/14.27 (assume a3732 (forall ((I6 tptp.set_nat) (X (-> tptp.nat tptp.extended_enat)) (Y (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ X I5) tptp.zero_z5237406670263579293d_enat)))))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ Y I5) tptp.zero_z5237406670263579293d_enat)))))) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ X I5)) (@ Y I5)) tptp.zero_z5237406670263579293d_enat))))))))))
% 13.98/14.27 (assume a3733 (forall ((I6 tptp.set_complex) (X (-> tptp.complex tptp.extended_enat)) (Y (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ X I5) tptp.zero_z5237406670263579293d_enat)))))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ Y I5) tptp.zero_z5237406670263579293d_enat)))))) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ (@ tptp.plus_p3455044024723400733d_enat (@ X I5)) (@ Y I5)) tptp.zero_z5237406670263579293d_enat))))))))))
% 13.98/14.27 (assume a3734 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.complex)) (Y (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ X I5) tptp.zero_zero_complex)))))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ Y I5) tptp.zero_zero_complex)))))) (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ (@ tptp.plus_plus_complex (@ X I5)) (@ Y I5)) tptp.zero_zero_complex))))))))))
% 13.98/14.27 (assume a3735 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.complex)) (Y (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ X I5) tptp.zero_zero_complex)))))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ Y I5) tptp.zero_zero_complex)))))) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ (@ tptp.plus_plus_complex (@ X I5)) (@ Y I5)) tptp.zero_zero_complex))))))))))
% 13.98/14.27 (assume a3736 (forall ((I6 tptp.set_nat) (X (-> tptp.nat tptp.complex)) (Y (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ X I5) tptp.zero_zero_complex)))))) (=> (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ Y I5) tptp.zero_zero_complex)))))) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (and (@ (@ tptp.member_nat I5) I6) (not (= (@ (@ tptp.plus_plus_complex (@ X I5)) (@ Y I5)) tptp.zero_zero_complex))))))))))
% 13.98/14.27 (assume a3737 (forall ((I6 tptp.set_complex) (X (-> tptp.complex tptp.complex)) (Y (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ X I5) tptp.zero_zero_complex)))))) (=> (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ Y I5) tptp.zero_zero_complex)))))) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((I5 tptp.complex)) (and (@ (@ tptp.member_complex I5) I6) (not (= (@ (@ tptp.plus_plus_complex (@ X I5)) (@ Y I5)) tptp.zero_zero_complex))))))))))
% 13.98/14.27 (assume a3738 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.real)) (Y (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ X I5) tptp.zero_zero_real)))))) (=> (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ Y I5) tptp.zero_zero_real)))))) (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((I5 tptp.int)) (and (@ (@ tptp.member_int I5) I6) (not (= (@ (@ tptp.plus_plus_real (@ X I5)) (@ Y I5)) tptp.zero_zero_real))))))))))
% 13.98/14.27 (assume a3739 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.real)) (Y (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ X I5) tptp.zero_zero_real)))))) (=> (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ Y I5) tptp.zero_zero_real)))))) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((I5 tptp.real)) (and (@ (@ tptp.member_real I5) I6) (not (= (@ (@ tptp.plus_plus_real (@ X I5)) (@ Y I5)) tptp.zero_zero_real))))))))))
% 13.98/14.27 (assume a3740 (forall ((B tptp.int) (A tptp.int) (Q2 tptp.int) (R tptp.int)) (=> (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int) (=> (@ (@ (@ tptp.eucl_rel_int (@ (@ tptp.plus_plus_int A) tptp.one_one_int)) B) (@ (@ tptp.product_Pair_int_int Q2) R)) (@ (@ (@ tptp.eucl_rel_int (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.product_Pair_int_int Q2) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) R)) tptp.one_one_int)))))))
% 13.98/14.27 (assume a3741 (forall ((M7 tptp.set_list_VEBT_VEBT)) (=> (@ tptp.finite3004134309566078307T_VEBT M7) (exists ((N4 tptp.nat)) (forall ((X3 tptp.list_VEBT_VEBT)) (=> (@ (@ tptp.member2936631157270082147T_VEBT X3) M7) (@ (@ tptp.ord_less_nat (@ tptp.size_s6755466524823107622T_VEBT X3)) N4)))))))
% 13.98/14.27 (assume a3742 (forall ((M7 tptp.set_list_o)) (=> (@ tptp.finite_finite_list_o M7) (exists ((N4 tptp.nat)) (forall ((X3 tptp.list_o)) (=> (@ (@ tptp.member_list_o X3) M7) (@ (@ tptp.ord_less_nat (@ tptp.size_size_list_o X3)) N4)))))))
% 13.98/14.27 (assume a3743 (forall ((M7 tptp.set_list_nat)) (=> (@ tptp.finite8100373058378681591st_nat M7) (exists ((N4 tptp.nat)) (forall ((X3 tptp.list_nat)) (=> (@ (@ tptp.member_list_nat X3) M7) (@ (@ tptp.ord_less_nat (@ tptp.size_size_list_nat X3)) N4)))))))
% 13.98/14.27 (assume a3744 (forall ((M7 tptp.set_list_int)) (=> (@ tptp.finite3922522038869484883st_int M7) (exists ((N4 tptp.nat)) (forall ((X3 tptp.list_int)) (=> (@ (@ tptp.member_list_int X3) M7) (@ (@ tptp.ord_less_nat (@ tptp.size_size_list_int X3)) N4)))))))
% 13.98/14.27 (assume a3745 (forall ((A2 tptp.set_real) (A tptp.real)) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real A) A2) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real A) X5) (forall ((Xa tptp.real)) (=> (@ (@ tptp.member_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_real X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3746 (forall ((A2 tptp.set_set_real) (A tptp.set_real)) (=> (@ tptp.finite9007344921179782393t_real A2) (=> (@ (@ tptp.member_set_real A) A2) (exists ((X5 tptp.set_real)) (and (@ (@ tptp.member_set_real X5) A2) (@ (@ tptp.ord_less_eq_set_real A) X5) (forall ((Xa tptp.set_real)) (=> (@ (@ tptp.member_set_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_real X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3747 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (@ tptp.finite1152437895449049373et_nat A2) (=> (@ (@ tptp.member_set_nat A) A2) (exists ((X5 tptp.set_nat)) (and (@ (@ tptp.member_set_nat X5) A2) (@ (@ tptp.ord_less_eq_set_nat A) X5) (forall ((Xa tptp.set_nat)) (=> (@ (@ tptp.member_set_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_nat X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3748 (forall ((A2 tptp.set_num) (A tptp.num)) (=> (@ tptp.finite_finite_num A2) (=> (@ (@ tptp.member_num A) A2) (exists ((X5 tptp.num)) (and (@ (@ tptp.member_num X5) A2) (@ (@ tptp.ord_less_eq_num A) X5) (forall ((Xa tptp.num)) (=> (@ (@ tptp.member_num Xa) A2) (=> (@ (@ tptp.ord_less_eq_num X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3749 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.member_nat A) A2) (exists ((X5 tptp.nat)) (and (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_nat A) X5) (forall ((Xa tptp.nat)) (=> (@ (@ tptp.member_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_nat X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3750 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int A) A2) (exists ((X5 tptp.int)) (and (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_int A) X5) (forall ((Xa tptp.int)) (=> (@ (@ tptp.member_int Xa) A2) (=> (@ (@ tptp.ord_less_eq_int X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3751 (forall ((A2 tptp.set_real) (A tptp.real)) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real A) A2) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real X5) A) (forall ((Xa tptp.real)) (=> (@ (@ tptp.member_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_real Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3752 (forall ((A2 tptp.set_set_real) (A tptp.set_real)) (=> (@ tptp.finite9007344921179782393t_real A2) (=> (@ (@ tptp.member_set_real A) A2) (exists ((X5 tptp.set_real)) (and (@ (@ tptp.member_set_real X5) A2) (@ (@ tptp.ord_less_eq_set_real X5) A) (forall ((Xa tptp.set_real)) (=> (@ (@ tptp.member_set_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_real Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3753 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (@ tptp.finite1152437895449049373et_nat A2) (=> (@ (@ tptp.member_set_nat A) A2) (exists ((X5 tptp.set_nat)) (and (@ (@ tptp.member_set_nat X5) A2) (@ (@ tptp.ord_less_eq_set_nat X5) A) (forall ((Xa tptp.set_nat)) (=> (@ (@ tptp.member_set_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_nat Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3754 (forall ((A2 tptp.set_num) (A tptp.num)) (=> (@ tptp.finite_finite_num A2) (=> (@ (@ tptp.member_num A) A2) (exists ((X5 tptp.num)) (and (@ (@ tptp.member_num X5) A2) (@ (@ tptp.ord_less_eq_num X5) A) (forall ((Xa tptp.num)) (=> (@ (@ tptp.member_num Xa) A2) (=> (@ (@ tptp.ord_less_eq_num Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3755 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.member_nat A) A2) (exists ((X5 tptp.nat)) (and (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_nat X5) A) (forall ((Xa tptp.nat)) (=> (@ (@ tptp.member_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_nat Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3756 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int A) A2) (exists ((X5 tptp.int)) (and (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_int X5) A) (forall ((Xa tptp.int)) (=> (@ (@ tptp.member_int Xa) A2) (=> (@ (@ tptp.ord_less_eq_int Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3757 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (@ tptp.finite3207457112153483333omplex B2) (@ tptp.finite3207457112153483333omplex A2)))))
% 13.98/14.27 (assume a3758 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ tptp.finite_finite_real B2) (@ tptp.finite_finite_real A2)))))
% 13.98/14.27 (assume a3759 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ tptp.finite_finite_nat B2) (@ tptp.finite_finite_nat A2)))))
% 13.98/14.27 (assume a3760 (forall ((S tptp.set_complex) (T3 tptp.set_complex)) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (not (@ tptp.finite3207457112153483333omplex S)) (not (@ tptp.finite3207457112153483333omplex T3))))))
% 13.98/14.27 (assume a3761 (forall ((S tptp.set_real) (T3 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (not (@ tptp.finite_finite_real S)) (not (@ tptp.finite_finite_real T3))))))
% 13.98/14.27 (assume a3762 (forall ((S tptp.set_nat) (T3 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat S) T3) (=> (not (@ tptp.finite_finite_nat S)) (not (@ tptp.finite_finite_nat T3))))))
% 13.98/14.27 (assume a3763 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (@ tptp.finite3207457112153483333omplex A2)))))
% 13.98/14.27 (assume a3764 (forall ((B2 tptp.set_real) (A2 tptp.set_real)) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ tptp.finite_finite_real A2)))))
% 13.98/14.27 (assume a3765 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat)) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ tptp.finite_finite_nat A2)))))
% 13.98/14.27 (assume a3766 (forall ((A2 tptp.set_real)) (=> (@ tptp.finite_finite_real A2) (=> (not (= A2 tptp.bot_bot_set_real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) A2) (forall ((Xa tptp.real)) (=> (@ (@ tptp.member_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_real X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3767 (forall ((A2 tptp.set_set_real)) (=> (@ tptp.finite9007344921179782393t_real A2) (=> (not (= A2 tptp.bot_bot_set_set_real)) (exists ((X5 tptp.set_real)) (and (@ (@ tptp.member_set_real X5) A2) (forall ((Xa tptp.set_real)) (=> (@ (@ tptp.member_set_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_real X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3768 (forall ((A2 tptp.set_set_nat)) (=> (@ tptp.finite1152437895449049373et_nat A2) (=> (not (= A2 tptp.bot_bot_set_set_nat)) (exists ((X5 tptp.set_nat)) (and (@ (@ tptp.member_set_nat X5) A2) (forall ((Xa tptp.set_nat)) (=> (@ (@ tptp.member_set_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_nat X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3769 (forall ((A2 tptp.set_num)) (=> (@ tptp.finite_finite_num A2) (=> (not (= A2 tptp.bot_bot_set_num)) (exists ((X5 tptp.num)) (and (@ (@ tptp.member_num X5) A2) (forall ((Xa tptp.num)) (=> (@ (@ tptp.member_num Xa) A2) (=> (@ (@ tptp.ord_less_eq_num X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3770 (forall ((A2 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A2) (=> (not (= A2 tptp.bot_bot_set_nat)) (exists ((X5 tptp.nat)) (and (@ (@ tptp.member_nat X5) A2) (forall ((Xa tptp.nat)) (=> (@ (@ tptp.member_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_nat X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3771 (forall ((A2 tptp.set_int)) (=> (@ tptp.finite_finite_int A2) (=> (not (= A2 tptp.bot_bot_set_int)) (exists ((X5 tptp.int)) (and (@ (@ tptp.member_int X5) A2) (forall ((Xa tptp.int)) (=> (@ (@ tptp.member_int Xa) A2) (=> (@ (@ tptp.ord_less_eq_int X5) Xa) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3772 (forall ((A2 tptp.set_real)) (=> (@ tptp.finite_finite_real A2) (=> (not (= A2 tptp.bot_bot_set_real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) A2) (forall ((Xa tptp.real)) (=> (@ (@ tptp.member_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_real Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3773 (forall ((A2 tptp.set_set_real)) (=> (@ tptp.finite9007344921179782393t_real A2) (=> (not (= A2 tptp.bot_bot_set_set_real)) (exists ((X5 tptp.set_real)) (and (@ (@ tptp.member_set_real X5) A2) (forall ((Xa tptp.set_real)) (=> (@ (@ tptp.member_set_real Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_real Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3774 (forall ((A2 tptp.set_set_nat)) (=> (@ tptp.finite1152437895449049373et_nat A2) (=> (not (= A2 tptp.bot_bot_set_set_nat)) (exists ((X5 tptp.set_nat)) (and (@ (@ tptp.member_set_nat X5) A2) (forall ((Xa tptp.set_nat)) (=> (@ (@ tptp.member_set_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_set_nat Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3775 (forall ((A2 tptp.set_num)) (=> (@ tptp.finite_finite_num A2) (=> (not (= A2 tptp.bot_bot_set_num)) (exists ((X5 tptp.num)) (and (@ (@ tptp.member_num X5) A2) (forall ((Xa tptp.num)) (=> (@ (@ tptp.member_num Xa) A2) (=> (@ (@ tptp.ord_less_eq_num Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3776 (forall ((A2 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A2) (=> (not (= A2 tptp.bot_bot_set_nat)) (exists ((X5 tptp.nat)) (and (@ (@ tptp.member_nat X5) A2) (forall ((Xa tptp.nat)) (=> (@ (@ tptp.member_nat Xa) A2) (=> (@ (@ tptp.ord_less_eq_nat Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3777 (forall ((A2 tptp.set_int)) (=> (@ tptp.finite_finite_int A2) (=> (not (= A2 tptp.bot_bot_set_int)) (exists ((X5 tptp.int)) (and (@ (@ tptp.member_int X5) A2) (forall ((Xa tptp.int)) (=> (@ (@ tptp.member_int Xa) A2) (=> (@ (@ tptp.ord_less_eq_int Xa) X5) (= X5 Xa))))))))))
% 13.98/14.27 (assume a3778 (forall ((B tptp.int) (A tptp.int) (Q2 tptp.int) (R tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (=> (@ (@ (@ tptp.eucl_rel_int A) B) (@ (@ tptp.product_Pair_int_int Q2) R)) (@ (@ (@ tptp.eucl_rel_int (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.product_Pair_int_int Q2) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) R))))))))
% 13.98/14.27 (assume a3779 (= (@ tptp.arcosh_real tptp.one_one_real) tptp.zero_zero_real))
% 13.98/14.27 (assume a3780 (forall ((N2 tptp.nat) (C tptp.complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) C)))))))
% 13.98/14.27 (assume a3781 (forall ((P (-> tptp.nat tptp.nat Bool)) (M tptp.nat) (N2 tptp.nat)) (=> (forall ((M5 tptp.nat)) (@ (@ P M5) tptp.zero_zero_nat)) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (=> (@ (@ P N4) (@ (@ tptp.modulo_modulo_nat M5) N4)) (@ (@ P M5) N4)))) (@ (@ P M) N2)))))
% 13.98/14.27 (assume a3782 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ (@ tptp.bit_concat_bit (@ tptp.suc N2)) K) L2) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int K) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ (@ tptp.bit_concat_bit N2) (@ (@ tptp.divide_divide_int K) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) L2))))))
% 13.98/14.27 (assume a3783 (= (@ tptp.neg_nu7009210354673126013omplex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a3784 (= (@ tptp.neg_numeral_dbl_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a3785 (= (@ tptp.neg_numeral_dbl_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a3786 (forall ((A tptp.code_integer) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.modulo364778990260209775nteger (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) A)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) (@ (@ tptp.modulo364778990260209775nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2))))))))
% 13.98/14.27 (assume a3787 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat tptp.one_one_nat) A)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))))
% 13.98/14.27 (assume a3788 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.plus_plus_int tptp.one_one_int) A)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))))))
% 13.98/14.27 (assume a3789 (forall ((M tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat M) tptp.one_one_nat) (= M tptp.one_one_nat))))
% 13.98/14.27 (assume a3790 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger A) B)) (@ (@ tptp.dvd_dvd_Code_integer A) B))))
% 13.98/14.27 (assume a3791 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex A) B)) (@ (@ tptp.dvd_dvd_complex A) B))))
% 13.98/14.27 (assume a3792 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.dvd_dvd_real A) B))))
% 13.98/14.27 (assume a3793 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat A) B)) (@ (@ tptp.dvd_dvd_nat A) B))))
% 13.98/14.27 (assume a3794 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.dvd_dvd_int A) B))))
% 13.98/14.27 (assume a3795 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger B) A)) (@ (@ tptp.dvd_dvd_Code_integer A) B))))
% 13.98/14.27 (assume a3796 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex B) A)) (@ (@ tptp.dvd_dvd_complex A) B))))
% 13.98/14.27 (assume a3797 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real B) A)) (@ (@ tptp.dvd_dvd_real A) B))))
% 13.98/14.27 (assume a3798 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat B) A)) (@ (@ tptp.dvd_dvd_nat A) B))))
% 13.98/14.27 (assume a3799 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int B) A)) (@ (@ tptp.dvd_dvd_int A) B))))
% 13.98/14.27 (assume a3800 (forall ((M tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat M) (@ tptp.suc tptp.zero_zero_nat)) (= M (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a3801 (forall ((K tptp.nat)) (@ (@ tptp.dvd_dvd_nat (@ tptp.suc tptp.zero_zero_nat)) K)))
% 13.98/14.27 (assume a3802 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (=> (@ (@ tptp.dvd_dvd_nat A) C) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.divide_divide_nat B) A)) (@ (@ tptp.divide_divide_nat C) A)) (@ (@ tptp.dvd_dvd_nat B) C))))))
% 13.98/14.27 (assume a3803 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (=> (@ (@ tptp.dvd_dvd_int A) C) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.divide_divide_int B) A)) (@ (@ tptp.divide_divide_int C) A)) (@ (@ tptp.dvd_dvd_int B) C))))))
% 13.98/14.27 (assume a3804 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (=> (@ (@ tptp.dvd_dvd_Code_integer A) C) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.divide6298287555418463151nteger B) A)) (@ (@ tptp.divide6298287555418463151nteger C) A)) (@ (@ tptp.dvd_dvd_Code_integer B) C))))))
% 13.98/14.27 (assume a3805 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (or (= K tptp.zero_zero_nat) (@ (@ tptp.dvd_dvd_nat M) N2)))))
% 13.98/14.27 (assume a3806 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ (@ tptp.bit_concat_bit tptp.zero_zero_nat) K) L2) L2)))
% 13.98/14.27 (assume a3807 (= (@ tptp.neg_nu7009210354673126013omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 13.98/14.27 (assume a3808 (= (@ tptp.neg_numeral_dbl_real tptp.zero_zero_real) tptp.zero_zero_real))
% 13.98/14.27 (assume a3809 (= (@ tptp.neg_numeral_dbl_int tptp.zero_zero_int) tptp.zero_zero_int))
% 13.98/14.27 (assume a3810 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger C) A)) (@ (@ tptp.times_3573771949741848930nteger C) B)) (or (= C tptp.zero_z3403309356797280102nteger) (@ (@ tptp.dvd_dvd_Code_integer A) B)))))
% 13.98/14.27 (assume a3811 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.times_times_complex C) A)) (@ (@ tptp.times_times_complex C) B)) (or (= C tptp.zero_zero_complex) (@ (@ tptp.dvd_dvd_complex A) B)))))
% 13.98/14.27 (assume a3812 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real C) A)) (@ (@ tptp.times_times_real C) B)) (or (= C tptp.zero_zero_real) (@ (@ tptp.dvd_dvd_real A) B)))))
% 13.98/14.27 (assume a3813 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.times_times_int C) B)) (or (= C tptp.zero_zero_int) (@ (@ tptp.dvd_dvd_int A) B)))))
% 13.98/14.27 (assume a3814 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) C)) (@ (@ tptp.times_3573771949741848930nteger B) C)) (or (= C tptp.zero_z3403309356797280102nteger) (@ (@ tptp.dvd_dvd_Code_integer A) B)))))
% 13.98/14.27 (assume a3815 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) C)) (or (= C tptp.zero_zero_complex) (@ (@ tptp.dvd_dvd_complex A) B)))))
% 13.98/14.27 (assume a3816 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) C)) (or (= C tptp.zero_zero_real) (@ (@ tptp.dvd_dvd_real A) B)))))
% 13.98/14.27 (assume a3817 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) C)) (or (= C tptp.zero_zero_int) (@ (@ tptp.dvd_dvd_int A) B)))))
% 13.98/14.27 (assume a3818 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) (@ (@ tptp.times_3573771949741848930nteger A) C)) (@ (@ tptp.dvd_dvd_Code_integer B) C)))))
% 13.98/14.27 (assume a3819 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.dvd_dvd_nat B) C)))))
% 13.98/14.27 (assume a3820 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.dvd_dvd_int B) C)))))
% 13.98/14.27 (assume a3821 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger B) A)) (@ (@ tptp.times_3573771949741848930nteger C) A)) (@ (@ tptp.dvd_dvd_Code_integer B) C)))))
% 13.98/14.27 (assume a3822 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat B) A)) (@ (@ tptp.times_times_nat C) A)) (@ (@ tptp.dvd_dvd_nat B) C)))))
% 13.98/14.27 (assume a3823 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int B) A)) (@ (@ tptp.times_times_int C) A)) (@ (@ tptp.dvd_dvd_int B) C)))))
% 13.98/14.27 (assume a3824 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger C) A)) B)) (@ (@ tptp.dvd_dvd_Code_integer A) B))))
% 13.98/14.27 (assume a3825 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex C) A)) B)) (@ (@ tptp.dvd_dvd_complex A) B))))
% 13.98/14.27 (assume a3826 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real C) A)) B)) (@ (@ tptp.dvd_dvd_real A) B))))
% 13.98/14.27 (assume a3827 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat C) A)) B)) (@ (@ tptp.dvd_dvd_nat A) B))))
% 13.98/14.27 (assume a3828 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int C) A)) B)) (@ (@ tptp.dvd_dvd_int A) B))))
% 13.98/14.27 (assume a3829 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger B) (@ (@ tptp.times_3573771949741848930nteger C) A))) (@ (@ tptp.dvd_dvd_Code_integer A) B))))
% 13.98/14.27 (assume a3830 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex B) (@ (@ tptp.times_times_complex C) A))) (@ (@ tptp.dvd_dvd_complex A) B))))
% 13.98/14.27 (assume a3831 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real B) (@ (@ tptp.times_times_real C) A))) (@ (@ tptp.dvd_dvd_real A) B))))
% 13.98/14.27 (assume a3832 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat B) (@ (@ tptp.times_times_nat C) A))) (@ (@ tptp.dvd_dvd_nat A) B))))
% 13.98/14.27 (assume a3833 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int B) (@ (@ tptp.times_times_int C) A))) (@ (@ tptp.dvd_dvd_int A) B))))
% 13.98/14.27 (assume a3834 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a3835 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) tptp.one_one_nat)))))
% 13.98/14.27 (assume a3836 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) tptp.one_one_int)))))
% 13.98/14.27 (assume a3837 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (= (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat B) A)) A) B))))
% 13.98/14.27 (assume a3838 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (= (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int B) A)) A) B))))
% 13.98/14.27 (assume a3839 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger B) A)) A) B))))
% 13.98/14.27 (assume a3840 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (= (@ (@ tptp.times_times_nat A) (@ (@ tptp.divide_divide_nat B) A)) B))))
% 13.98/14.27 (assume a3841 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.divide_divide_int B) A)) B))))
% 13.98/14.27 (assume a3842 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (= (@ (@ tptp.times_3573771949741848930nteger A) (@ (@ tptp.divide6298287555418463151nteger B) A)) B))))
% 13.98/14.27 (assume a3843 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) A) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) C)) (@ (@ tptp.divide_divide_nat B) C)))))))
% 13.98/14.27 (assume a3844 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) A) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) C)) (@ (@ tptp.divide_divide_int B) C)))))))
% 13.98/14.27 (assume a3845 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) A) (=> (@ (@ 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)))))))
% 13.98/14.27 (assume a3846 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.divide_divide_nat A) B)) tptp.one_one_nat)))))
% 13.98/14.27 (assume a3847 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 13.98/14.27 (assume a3848 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.divide6298287555418463151nteger A) B)) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a3849 (forall ((A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.divide_divide_nat tptp.one_one_nat) A)) tptp.one_one_nat))))
% 13.98/14.27 (assume a3850 (forall ((A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.divide_divide_int tptp.one_one_int) A)) tptp.one_one_int))))
% 13.98/14.27 (assume a3851 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) A)) tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a3852 (forall ((A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) (@ (@ tptp.divide_divide_nat tptp.one_one_nat) A)) A))))
% 13.98/14.27 (assume a3853 (forall ((A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ (@ tptp.divide_divide_int tptp.one_one_int) A)) A))))
% 13.98/14.27 (assume a3854 (forall ((A tptp.code_integer)) (=> (@ (@ 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))))
% 13.98/14.27 (assume a3855 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) A) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.minus_minus_int A) B)) C) (@ (@ tptp.minus_minus_int (@ (@ tptp.divide_divide_int A) C)) (@ (@ tptp.divide_divide_int B) C)))))))
% 13.98/14.27 (assume a3856 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) A) (=> (@ (@ 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)))))))
% 13.98/14.27 (assume a3857 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ (@ tptp.bit_concat_bit N2) K) L2)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) L2))))
% 13.98/14.27 (assume a3858 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ (@ tptp.bit_concat_bit N2) K) L2)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int))))
% 13.98/14.27 (assume a3859 (forall ((K tptp.num)) (= (@ tptp.neg_nu7009210354673126013omplex (@ tptp.numera6690914467698888265omplex K)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 K)))))
% 13.98/14.27 (assume a3860 (forall ((K tptp.num)) (= (@ tptp.neg_numeral_dbl_real (@ tptp.numeral_numeral_real K)) (@ tptp.numeral_numeral_real (@ tptp.bit0 K)))))
% 13.98/14.27 (assume a3861 (forall ((K tptp.num)) (= (@ tptp.neg_numeral_dbl_int (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))))
% 13.98/14.27 (assume a3862 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc N2)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a3863 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc N2))) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.27 (assume a3864 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (@ (@ tptp.times_times_nat B) (@ (@ tptp.divide_divide_nat tptp.one_one_nat) A)) (@ (@ tptp.divide_divide_nat B) A)))))
% 13.98/14.27 (assume a3865 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (@ (@ tptp.times_times_int B) (@ (@ tptp.divide_divide_int tptp.one_one_int) A)) (@ (@ tptp.divide_divide_int B) A)))))
% 13.98/14.27 (assume a3866 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= (@ (@ tptp.times_3573771949741848930nteger B) (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) A)) (@ (@ tptp.divide6298287555418463151nteger B) A)))))
% 13.98/14.27 (assume a3867 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat B) A)) A) B))))
% 13.98/14.27 (assume a3868 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int B) A)) A) B))))
% 13.98/14.27 (assume a3869 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger B) A)) A) B))))
% 13.98/14.27 (assume a3870 (forall ((N2 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2)) (@ (@ tptp.dvd_dvd_nat A) B)))))
% 13.98/14.27 (assume a3871 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2)) (@ (@ tptp.dvd_dvd_int A) B)))))
% 13.98/14.27 (assume a3872 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_3573771949741848930nteger A) B)) (or (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.27 (assume a3873 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat A) B)) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.27 (assume a3874 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_int A) B)) (or (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.27 (assume a3875 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p5714425477246183910nteger A) B))) (not (= (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)))))))
% 13.98/14.27 (assume a3876 (forall ((A tptp.nat) (B tptp.nat)) (= (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat A) B))) (not (= (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)))))))
% 13.98/14.27 (assume a3877 (forall ((A tptp.int) (B tptp.int)) (= (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int A) B))) (not (= (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)))))))
% 13.98/14.27 (assume a3878 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p5714425477246183910nteger A) B)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.27 (assume a3879 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat A) B)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.27 (assume a3880 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int A) B)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.27 (assume a3881 (forall ((A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a3882 (forall ((A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a3883 (forall ((A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a3884 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.divide_divide_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a3885 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.divide_divide_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3886 (forall ((A tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat W))) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))))
% 13.98/14.27 (assume a3887 (forall ((A tptp.int) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat W))) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 13.98/14.27 (assume a3888 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) N2)) tptp.zero_zero_real) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real)))))
% 13.98/14.27 (assume a3889 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) N2)) tptp.zero_zero_int) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int)))))
% 13.98/14.27 (assume a3890 (forall ((A tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat W))) tptp.zero_zero_real) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real)))))
% 13.98/14.27 (assume a3891 (forall ((A tptp.int) (W tptp.num)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat W))) tptp.zero_zero_int) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int)))))
% 13.98/14.27 (assume a3892 (forall ((A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p5714425477246183910nteger A) tptp.one_one_Code_integer)) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.27 (assume a3893 (forall ((A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat A) tptp.one_one_nat)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.27 (assume a3894 (forall ((A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int A) tptp.one_one_int)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.27 (assume a3895 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_8373710615458151222nteger A) B)) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p5714425477246183910nteger A) B)))))
% 13.98/14.27 (assume a3896 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_int A) B)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int A) B)))))
% 13.98/14.27 (assume a3897 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ tptp.suc (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))) N2))))
% 13.98/14.27 (assume a3898 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat M) N2)) (or (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat M) N2))))))
% 13.98/14.27 (assume a3899 (forall ((A tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat W))) (or (= (@ tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (not (= A tptp.zero_zero_real))) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))))
% 13.98/14.27 (assume a3900 (forall ((A tptp.int) (W tptp.num)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat W))) (or (= (@ tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (not (= A tptp.zero_zero_int))) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_int tptp.zero_zero_int) A))))))
% 13.98/14.27 (assume a3901 (forall ((A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat tptp.one_one_nat) A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3902 (forall ((A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int tptp.one_one_int) A)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3903 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) A)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3904 (forall ((A tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) tptp.one_one_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))))
% 13.98/14.27 (assume a3905 (forall ((A tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int)))))
% 13.98/14.27 (assume a3906 (forall ((A tptp.code_integer)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.plus_p5714425477246183910nteger A) tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a3907 (forall ((A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) tptp.one_one_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3908 (forall ((A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3909 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.plus_p5714425477246183910nteger A) tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a3910 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_8256067586552552935nteger A) N2)) (and (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a3911 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_nat A) N2)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a3912 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int A) N2)) (and (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a3913 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))
% 13.98/14.27 (assume a3914 (forall ((A tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.one_one_nat) A))))
% 13.98/14.27 (assume a3915 (forall ((A tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) tptp.one_one_int) A))))
% 13.98/14.27 (assume a3916 (forall ((A tptp.code_integer)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))) tptp.one_one_Code_integer) A))))
% 13.98/14.27 (assume a3917 (forall ((A tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat W))) tptp.zero_zero_real) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat W)) (or (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (= A tptp.zero_zero_real)))))))
% 13.98/14.27 (assume a3918 (forall ((A tptp.int) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat W))) tptp.zero_zero_int) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat W)) (or (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W))) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (= A tptp.zero_zero_int)))))))
% 13.98/14.27 (assume a3919 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_Code_integer)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3920 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3921 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_int)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.27 (assume a3922 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat tptp.one_one_nat) A)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))))
% 13.98/14.27 (assume a3923 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int tptp.one_one_int) A)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.divide_divide_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))))
% 13.98/14.27 (assume a3924 (forall ((A tptp.code_integer) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) A)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)))))))
% 13.98/14.27 (assume a3925 (forall ((P5 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat P5) (@ (@ tptp.times_times_nat A) B)) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= P5 (@ (@ tptp.times_times_nat X5) Y5)) (=> (@ (@ tptp.dvd_dvd_nat X5) A) (not (@ (@ tptp.dvd_dvd_nat Y5) B)))))))))
% 13.98/14.27 (assume a3926 (forall ((P5 tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int P5) (@ (@ tptp.times_times_int A) B)) (not (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (= P5 (@ (@ tptp.times_times_int X5) Y5)) (=> (@ (@ tptp.dvd_dvd_int X5) A) (not (@ (@ tptp.dvd_dvd_int Y5) B)))))))))
% 13.98/14.27 (assume a3927 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat B) C)) (exists ((B7 tptp.nat) (C5 tptp.nat)) (and (= A (@ (@ tptp.times_times_nat B7) C5)) (@ (@ tptp.dvd_dvd_nat B7) B) (@ (@ tptp.dvd_dvd_nat C5) C))))))
% 13.98/14.27 (assume a3928 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int B) C)) (exists ((B7 tptp.int) (C5 tptp.int)) (and (= A (@ (@ tptp.times_times_int B7) C5)) (@ (@ tptp.dvd_dvd_int B7) B) (@ (@ tptp.dvd_dvd_int C5) C))))))
% 13.98/14.27 (assume a3929 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (not (forall ((K2 tptp.code_integer)) (not (= A (@ (@ tptp.times_3573771949741848930nteger B) K2))))))))
% 13.98/14.27 (assume a3930 (forall ((B tptp.complex) (A tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex B) A) (not (forall ((K2 tptp.complex)) (not (= A (@ (@ tptp.times_times_complex B) K2))))))))
% 13.98/14.27 (assume a3931 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_real B) A) (not (forall ((K2 tptp.real)) (not (= A (@ (@ tptp.times_times_real B) K2))))))))
% 13.98/14.27 (assume a3932 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) A) (not (forall ((K2 tptp.nat)) (not (= A (@ (@ tptp.times_times_nat B) K2))))))))
% 13.98/14.27 (assume a3933 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) A) (not (forall ((K2 tptp.int)) (not (= A (@ (@ tptp.times_times_int B) K2))))))))
% 13.98/14.27 (assume a3934 (forall ((A tptp.code_integer) (B tptp.code_integer) (K tptp.code_integer)) (=> (= A (@ (@ tptp.times_3573771949741848930nteger B) K)) (@ (@ tptp.dvd_dvd_Code_integer B) A))))
% 13.98/14.27 (assume a3935 (forall ((A tptp.complex) (B tptp.complex) (K tptp.complex)) (=> (= A (@ (@ tptp.times_times_complex B) K)) (@ (@ tptp.dvd_dvd_complex B) A))))
% 13.98/14.27 (assume a3936 (forall ((A tptp.real) (B tptp.real) (K tptp.real)) (=> (= A (@ (@ tptp.times_times_real B) K)) (@ (@ tptp.dvd_dvd_real B) A))))
% 13.98/14.27 (assume a3937 (forall ((A tptp.nat) (B tptp.nat) (K tptp.nat)) (=> (= A (@ (@ tptp.times_times_nat B) K)) (@ (@ tptp.dvd_dvd_nat B) A))))
% 13.98/14.27 (assume a3938 (forall ((A tptp.int) (B tptp.int) (K tptp.int)) (=> (= A (@ (@ tptp.times_times_int B) K)) (@ (@ tptp.dvd_dvd_int B) A))))
% 13.98/14.27 (assume a3939 (= tptp.dvd_dvd_Code_integer (lambda ((B4 tptp.code_integer) (A4 tptp.code_integer)) (exists ((K3 tptp.code_integer)) (= A4 (@ (@ tptp.times_3573771949741848930nteger B4) K3))))))
% 13.98/14.27 (assume a3940 (= tptp.dvd_dvd_complex (lambda ((B4 tptp.complex) (A4 tptp.complex)) (exists ((K3 tptp.complex)) (= A4 (@ (@ tptp.times_times_complex B4) K3))))))
% 13.98/14.27 (assume a3941 (= tptp.dvd_dvd_real (lambda ((B4 tptp.real) (A4 tptp.real)) (exists ((K3 tptp.real)) (= A4 (@ (@ tptp.times_times_real B4) K3))))))
% 13.98/14.27 (assume a3942 (= tptp.dvd_dvd_nat (lambda ((B4 tptp.nat) (A4 tptp.nat)) (exists ((K3 tptp.nat)) (= A4 (@ (@ tptp.times_times_nat B4) K3))))))
% 13.98/14.27 (assume a3943 (= tptp.dvd_dvd_int (lambda ((B4 tptp.int) (A4 tptp.int)) (exists ((K3 tptp.int)) (= A4 (@ (@ tptp.times_times_int B4) K3))))))
% 13.98/14.27 (assume a3944 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) C) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger B) C)))))
% 13.98/14.27 (assume a3945 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex A) C) (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.27 (assume a3946 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.dvd_dvd_real A) C) (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.27 (assume a3947 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) C) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.27 (assume a3948 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) C) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.27 (assume a3949 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger B) C)))))
% 13.98/14.27 (assume a3950 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex A) B) (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.times_times_complex B) C)))))
% 13.98/14.27 (assume a3951 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.dvd_dvd_real A) B) (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.times_times_real B) C)))))
% 13.98/14.27 (assume a3952 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat B) C)))))
% 13.98/14.27 (assume a3953 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int B) C)))))
% 13.98/14.27 (assume a3954 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) C) (@ (@ tptp.dvd_dvd_Code_integer A) C))))
% 13.98/14.27 (assume a3955 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.times_times_complex A) B)) C) (@ (@ tptp.dvd_dvd_complex A) C))))
% 13.98/14.27 (assume a3956 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real A) B)) C) (@ (@ tptp.dvd_dvd_real A) C))))
% 13.98/14.27 (assume a3957 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.dvd_dvd_nat A) C))))
% 13.98/14.27 (assume a3958 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.dvd_dvd_int A) C))))
% 13.98/14.27 (assume a3959 (forall ((A tptp.code_integer) (B tptp.code_integer)) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger A) B))))
% 13.98/14.27 (assume a3960 (forall ((A tptp.complex) (B tptp.complex)) (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.times_times_complex A) B))))
% 13.98/14.27 (assume a3961 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.times_times_real A) B))))
% 13.98/14.27 (assume a3962 (forall ((A tptp.nat) (B tptp.nat)) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat A) B))))
% 13.98/14.27 (assume a3963 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int A) B))))
% 13.98/14.27 (assume a3964 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer) (D tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (=> (@ (@ tptp.dvd_dvd_Code_integer C) D) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) C)) (@ (@ tptp.times_3573771949741848930nteger B) D))))))
% 13.98/14.27 (assume a3965 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex A) B) (=> (@ (@ tptp.dvd_dvd_complex C) D) (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) D))))))
% 13.98/14.27 (assume a3966 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.dvd_dvd_real A) B) (=> (@ (@ tptp.dvd_dvd_real C) D) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))))))
% 13.98/14.27 (assume a3967 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (=> (@ (@ tptp.dvd_dvd_nat C) D) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D))))))
% 13.98/14.27 (assume a3968 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (=> (@ (@ tptp.dvd_dvd_int C) D) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D))))))
% 13.98/14.27 (assume a3969 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) C) (@ (@ tptp.dvd_dvd_Code_integer B) C))))
% 13.98/14.27 (assume a3970 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.times_times_complex A) B)) C) (@ (@ tptp.dvd_dvd_complex B) C))))
% 13.98/14.27 (assume a3971 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real A) B)) C) (@ (@ tptp.dvd_dvd_real B) C))))
% 13.98/14.27 (assume a3972 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.dvd_dvd_nat B) C))))
% 13.98/14.27 (assume a3973 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.dvd_dvd_int B) C))))
% 13.98/14.27 (assume a3974 (forall ((A tptp.code_integer) (B tptp.code_integer)) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger B) A))))
% 13.98/14.27 (assume a3975 (forall ((A tptp.complex) (B tptp.complex)) (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.times_times_complex B) A))))
% 13.98/14.27 (assume a3976 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.times_times_real B) A))))
% 13.98/14.27 (assume a3977 (forall ((A tptp.nat) (B tptp.nat)) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat B) A))))
% 13.98/14.27 (assume a3978 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int B) A))))
% 13.98/14.27 (assume a3979 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (=> (@ (@ tptp.dvd_dvd_Code_integer A) C) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger B) C))))))
% 13.98/14.27 (assume a3980 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex A) B) (=> (@ (@ tptp.dvd_dvd_complex A) C) (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex B) C))))))
% 13.98/14.27 (assume a3981 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.dvd_dvd_real A) B) (=> (@ (@ tptp.dvd_dvd_real A) C) (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real B) C))))))
% 13.98/14.27 (assume a3982 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (=> (@ (@ tptp.dvd_dvd_nat A) C) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat B) C))))))
% 13.98/14.27 (assume a3983 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (=> (@ (@ tptp.dvd_dvd_int A) C) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int B) C))))))
% 13.98/14.27 (assume a3984 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) C) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger B) C)) (@ (@ tptp.dvd_dvd_Code_integer A) B)))))
% 13.98/14.27 (assume a3985 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex A) C) (= (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.dvd_dvd_complex A) B)))))
% 13.98/14.27 (assume a3986 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (@ (@ tptp.dvd_dvd_real A) C) (= (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.dvd_dvd_real A) B)))))
% 13.98/14.27 (assume a3987 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) C) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.dvd_dvd_nat A) B)))))
% 13.98/14.27 (assume a3988 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) C) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.dvd_dvd_int A) B)))))
% 13.98/14.27 (assume a3989 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.plus_p5714425477246183910nteger B) C)) (@ (@ tptp.dvd_dvd_Code_integer A) C)))))
% 13.98/14.27 (assume a3990 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex A) B) (= (@ (@ tptp.dvd_dvd_complex A) (@ (@ tptp.plus_plus_complex B) C)) (@ (@ tptp.dvd_dvd_complex A) C)))))
% 13.98/14.27 (assume a3991 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.dvd_dvd_real A) B) (= (@ (@ tptp.dvd_dvd_real A) (@ (@ tptp.plus_plus_real B) C)) (@ (@ tptp.dvd_dvd_real A) C)))))
% 13.98/14.27 (assume a3992 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.plus_plus_nat B) C)) (@ (@ tptp.dvd_dvd_nat A) C)))))
% 13.98/14.27 (assume a3993 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.plus_plus_int B) C)) (@ (@ tptp.dvd_dvd_int A) C)))))
% 13.98/14.27 (assume a3994 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a3995 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat)))))
% 13.98/14.27 (assume a3996 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int)))))
% 13.98/14.27 (assume a3997 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (@ (@ tptp.dvd_dvd_Code_integer B) A))))
% 13.98/14.27 (assume a3998 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (@ (@ tptp.dvd_dvd_nat B) A))))
% 13.98/14.27 (assume a3999 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (@ (@ tptp.dvd_dvd_int B) A))))
% 13.98/14.27 (assume a4000 (forall ((A tptp.code_integer)) (@ (@ tptp.dvd_dvd_Code_integer tptp.one_one_Code_integer) A)))
% 13.98/14.27 (assume a4001 (forall ((A tptp.extended_enat)) (@ (@ tptp.dvd_dv3785147216227455552d_enat tptp.one_on7984719198319812577d_enat) A)))
% 13.98/14.27 (assume a4002 (forall ((A tptp.complex)) (@ (@ tptp.dvd_dvd_complex tptp.one_one_complex) A)))
% 13.98/14.27 (assume a4003 (forall ((A tptp.real)) (@ (@ tptp.dvd_dvd_real tptp.one_one_real) A)))
% 13.98/14.27 (assume a4004 (forall ((A tptp.nat)) (@ (@ tptp.dvd_dvd_nat tptp.one_one_nat) A)))
% 13.98/14.27 (assume a4005 (forall ((A tptp.int)) (@ (@ tptp.dvd_dvd_int tptp.one_one_int) A)))
% 13.98/14.27 (assume a4006 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.minus_8373710615458151222nteger C) B)) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.minus_8373710615458151222nteger B) C)))))
% 13.98/14.27 (assume a4007 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.minus_minus_int C) B)) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.minus_minus_int B) C)))))
% 13.98/14.27 (assume a4008 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) A) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (= (@ (@ tptp.divide_divide_nat A) C) (@ (@ tptp.divide_divide_nat B) C)) (= A B))))))
% 13.98/14.27 (assume a4009 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.dvd_dvd_real C) A) (=> (@ (@ tptp.dvd_dvd_real C) B) (= (= (@ (@ tptp.divide_divide_real A) C) (@ (@ tptp.divide_divide_real B) C)) (= A B))))))
% 13.98/14.27 (assume a4010 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) A) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (= (@ (@ tptp.divide_divide_int A) C) (@ (@ tptp.divide_divide_int B) C)) (= A B))))))
% 13.98/14.27 (assume a4011 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex C) A) (=> (@ (@ tptp.dvd_dvd_complex C) B) (= (= (@ (@ tptp.divide1717551699836669952omplex A) C) (@ (@ tptp.divide1717551699836669952omplex B) C)) (= A B))))))
% 13.98/14.27 (assume a4012 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) A) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (= (= (@ (@ tptp.divide6298287555418463151nteger A) C) (@ (@ tptp.divide6298287555418463151nteger B) C)) (= A B))))))
% 13.98/14.27 (assume a4013 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (= (@ (@ tptp.divide_divide_nat A) C) (@ (@ tptp.divide_divide_nat B) C)) (=> (@ (@ tptp.dvd_dvd_nat C) A) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= A B))))))
% 13.98/14.27 (assume a4014 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (= (@ (@ tptp.divide_divide_real A) C) (@ (@ tptp.divide_divide_real B) C)) (=> (@ (@ tptp.dvd_dvd_real C) A) (=> (@ (@ tptp.dvd_dvd_real C) B) (= A B))))))
% 13.98/14.27 (assume a4015 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (= (@ (@ tptp.divide_divide_int A) C) (@ (@ tptp.divide_divide_int B) C)) (=> (@ (@ tptp.dvd_dvd_int C) A) (=> (@ (@ tptp.dvd_dvd_int C) B) (= A B))))))
% 13.98/14.27 (assume a4016 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (=> (= (@ (@ tptp.divide1717551699836669952omplex A) C) (@ (@ tptp.divide1717551699836669952omplex B) C)) (=> (@ (@ tptp.dvd_dvd_complex C) A) (=> (@ (@ tptp.dvd_dvd_complex C) B) (= A B))))))
% 13.98/14.27 (assume a4017 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (= (@ (@ tptp.divide6298287555418463151nteger A) C) (@ (@ tptp.divide6298287555418463151nteger B) C)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) A) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (= A B))))))
% 13.98/14.27 (assume a4018 (forall ((D tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat D) B) (=> (@ (@ tptp.dvd_dvd_nat B) A) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) D)) (@ (@ tptp.divide_divide_nat B) D)) (@ (@ tptp.divide_divide_nat A) B))))))
% 13.98/14.27 (assume a4019 (forall ((D tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int D) B) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) D)) (@ (@ tptp.divide_divide_int B) D)) (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.27 (assume a4020 (forall ((D tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer D) B) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) D)) (@ (@ tptp.divide6298287555418463151nteger B) D)) (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.27 (assume a4021 (forall ((X tptp.code_integer) (Y tptp.code_integer) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer X) Y) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger X) N2)) (@ (@ tptp.power_8256067586552552935nteger Y) N2)))))
% 13.98/14.27 (assume a4022 (forall ((X tptp.nat) (Y tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat X) Y) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat X) N2)) (@ (@ tptp.power_power_nat Y) N2)))))
% 13.98/14.27 (assume a4023 (forall ((X tptp.real) (Y tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_real X) Y) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real Y) N2)))))
% 13.98/14.27 (assume a4024 (forall ((X tptp.int) (Y tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int X) Y) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int X) N2)) (@ (@ tptp.power_power_int Y) N2)))))
% 13.98/14.27 (assume a4025 (forall ((X tptp.complex) (Y tptp.complex) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_complex X) Y) (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_complex Y) N2)))))
% 13.98/14.27 (assume a4026 (forall ((K tptp.code_integer) (M tptp.code_integer) (N2 tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer K) M) (=> (@ (@ tptp.dvd_dvd_Code_integer K) N2) (@ (@ tptp.dvd_dvd_Code_integer K) (@ (@ tptp.modulo364778990260209775nteger M) N2))))))
% 13.98/14.27 (assume a4027 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat K) M) (=> (@ (@ tptp.dvd_dvd_nat K) N2) (@ (@ tptp.dvd_dvd_nat K) (@ (@ tptp.modulo_modulo_nat M) N2))))))
% 13.98/14.27 (assume a4028 (forall ((K tptp.int) (M tptp.int) (N2 tptp.int)) (=> (@ (@ tptp.dvd_dvd_int K) M) (=> (@ (@ tptp.dvd_dvd_int K) N2) (@ (@ tptp.dvd_dvd_int K) (@ (@ tptp.modulo_modulo_int M) N2))))))
% 13.98/14.27 (assume a4029 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (= (@ (@ tptp.modulo364778990260209775nteger (@ (@ tptp.modulo364778990260209775nteger A) B)) C) (@ (@ tptp.modulo364778990260209775nteger A) C)))))
% 13.98/14.27 (assume a4030 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.modulo_modulo_nat A) B)) C) (@ (@ tptp.modulo_modulo_nat A) C)))))
% 13.98/14.27 (assume a4031 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.modulo_modulo_int A) B)) C) (@ (@ tptp.modulo_modulo_int A) C)))))
% 13.98/14.27 (assume a4032 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat K) M) (=> (@ (@ tptp.dvd_dvd_nat K) N2) (@ (@ tptp.dvd_dvd_nat K) (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.27 (assume a4033 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.dvd_dvd_nat M) N2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M)))))
% 13.98/14.27 (assume a4034 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D3 tptp.nat) (X5 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat D3) A) (@ (@ tptp.dvd_dvd_nat D3) B) (or (= (@ (@ tptp.times_times_nat A) X5) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) Y5)) D3)) (= (@ (@ tptp.times_times_nat B) X5) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) Y5)) D3)))))))
% 13.98/14.27 (assume a4035 (forall ((D tptp.nat) (A tptp.nat) (B tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat D) A) (=> (@ (@ tptp.dvd_dvd_nat D) B) (=> (or (= (@ (@ tptp.times_times_nat A) X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) Y)) D)) (= (@ (@ tptp.times_times_nat B) X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) Y)) D))) (exists ((X5 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat D) A) (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat A) B)) (or (= (@ (@ tptp.times_times_nat A) X5) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A) B)) Y5)) D)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A) B)) X5) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) Y5)) D))))))))))
% 13.98/14.27 (assume a4036 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D3 tptp.nat) (X5 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat D3) A) (@ (@ tptp.dvd_dvd_nat D3) B) (or (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat A) X5)) (@ (@ tptp.times_times_nat B) Y5)) D3) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat B) X5)) (@ (@ tptp.times_times_nat A) Y5)) D3))))))
% 13.98/14.27 (assume a4037 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_le211207098394363844omplex (@ tptp.collect_complex (lambda ((C2 tptp.complex)) (@ (@ tptp.dvd_dvd_complex C2) A)))) (@ tptp.collect_complex (lambda ((C2 tptp.complex)) (@ (@ tptp.dvd_dvd_complex C2) B)))) (@ (@ tptp.dvd_dvd_complex A) B))))
% 13.98/14.27 (assume a4038 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int (@ tptp.collect_int (lambda ((C2 tptp.int)) (@ (@ tptp.dvd_dvd_int C2) A)))) (@ tptp.collect_int (lambda ((C2 tptp.int)) (@ (@ tptp.dvd_dvd_int C2) B)))) (@ (@ tptp.dvd_dvd_int A) B))))
% 13.98/14.27 (assume a4039 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le7084787975880047091nteger (@ tptp.collect_Code_integer (lambda ((C2 tptp.code_integer)) (@ (@ tptp.dvd_dvd_Code_integer C2) A)))) (@ tptp.collect_Code_integer (lambda ((C2 tptp.code_integer)) (@ (@ tptp.dvd_dvd_Code_integer C2) B)))) (@ (@ tptp.dvd_dvd_Code_integer A) B))))
% 13.98/14.27 (assume a4040 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.collect_real (lambda ((C2 tptp.real)) (@ (@ tptp.dvd_dvd_real C2) A)))) (@ tptp.collect_real (lambda ((C2 tptp.real)) (@ (@ tptp.dvd_dvd_real C2) B)))) (@ (@ tptp.dvd_dvd_real A) B))))
% 13.98/14.27 (assume a4041 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat (lambda ((C2 tptp.nat)) (@ (@ tptp.dvd_dvd_nat C2) A)))) (@ tptp.collect_nat (lambda ((C2 tptp.nat)) (@ (@ tptp.dvd_dvd_nat C2) B)))) (@ (@ tptp.dvd_dvd_nat A) B))))
% 13.98/14.27 (assume a4042 (forall ((N2 tptp.nat) (K tptp.int) (M tptp.nat) (L2 tptp.int) (R tptp.int)) (= (@ (@ (@ tptp.bit_concat_bit N2) K) (@ (@ (@ tptp.bit_concat_bit M) L2) R)) (@ (@ (@ tptp.bit_concat_bit (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ (@ tptp.bit_concat_bit N2) K) L2)) R))))
% 13.98/14.27 (assume a4043 (not (@ (@ tptp.dvd_dvd_Code_integer tptp.zero_z3403309356797280102nteger) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a4044 (not (@ (@ tptp.dvd_dvd_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 13.98/14.27 (assume a4045 (not (@ (@ tptp.dvd_dvd_int tptp.zero_zero_int) tptp.one_one_int)))
% 13.98/14.27 (assume a4046 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) A) (= (= (@ (@ tptp.divide_divide_nat A) B) tptp.zero_zero_nat) (= A tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4047 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_real B) A) (= (= (@ (@ tptp.divide_divide_real A) B) tptp.zero_zero_real) (= A tptp.zero_zero_real)))))
% 13.98/14.27 (assume a4048 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (= (@ (@ tptp.divide_divide_int A) B) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 13.98/14.27 (assume a4049 (forall ((B tptp.complex) (A tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex B) A) (= (= (@ (@ tptp.divide1717551699836669952omplex A) B) tptp.zero_zero_complex) (= A tptp.zero_zero_complex)))))
% 13.98/14.27 (assume a4050 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (= (@ (@ tptp.divide6298287555418463151nteger A) B) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger)))))
% 13.98/14.27 (assume a4051 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) tptp.one_one_Code_integer) (and (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a4052 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) tptp.one_one_nat) (and (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat)))))
% 13.98/14.27 (assume a4053 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) tptp.one_one_int) (and (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int)))))
% 13.98/14.27 (assume a4054 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger C) B)) (@ (@ tptp.dvd_dvd_Code_integer A) C)))))
% 13.98/14.27 (assume a4055 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat C) B)) (@ (@ tptp.dvd_dvd_nat A) C)))))
% 13.98/14.27 (assume a4056 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int C) B)) (@ (@ tptp.dvd_dvd_int A) C)))))
% 13.98/14.27 (assume a4057 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) C) (@ (@ tptp.dvd_dvd_Code_integer A) C)))))
% 13.98/14.27 (assume a4058 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.dvd_dvd_nat A) C)))))
% 13.98/14.27 (assume a4059 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.dvd_dvd_int A) C)))))
% 13.98/14.27 (assume a4060 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.dvd_dvd_Code_integer A) C)))))
% 13.98/14.27 (assume a4061 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.dvd_dvd_nat A) C)))))
% 13.98/14.27 (assume a4062 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.dvd_dvd_int A) C)))))
% 13.98/14.27 (assume a4063 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) B)) C) (@ (@ tptp.dvd_dvd_Code_integer B) C)))))
% 13.98/14.27 (assume a4064 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) B)) C) (@ (@ tptp.dvd_dvd_nat B) C)))))
% 13.98/14.27 (assume a4065 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) B)) C) (@ (@ tptp.dvd_dvd_int B) C)))))
% 13.98/14.27 (assume a4066 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= (= (@ (@ tptp.times_3573771949741848930nteger A) B) (@ (@ tptp.times_3573771949741848930nteger A) C)) (= B C)))))
% 13.98/14.27 (assume a4067 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (= (@ (@ tptp.times_times_nat A) B) (@ (@ tptp.times_times_nat A) C)) (= B C)))))
% 13.98/14.27 (assume a4068 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (= (@ (@ tptp.times_times_int A) B) (@ (@ tptp.times_times_int A) C)) (= B C)))))
% 13.98/14.27 (assume a4069 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= (= (@ (@ tptp.times_3573771949741848930nteger B) A) (@ (@ tptp.times_3573771949741848930nteger C) A)) (= B C)))))
% 13.98/14.27 (assume a4070 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (= (@ (@ tptp.times_times_nat B) A) (@ (@ tptp.times_times_nat C) A)) (= B C)))))
% 13.98/14.27 (assume a4071 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (= (@ (@ tptp.times_times_int B) A) (@ (@ tptp.times_times_int C) A)) (= B C)))))
% 13.98/14.27 (assume a4072 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat B) C)) A) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat B) A)) C)))))
% 13.98/14.27 (assume a4073 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int B) C)) A) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int B) A)) C)))))
% 13.98/14.27 (assume a4074 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger B) C)) A) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger B) A)) C)))))
% 13.98/14.27 (assume a4075 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (@ (@ tptp.times_times_nat A) (@ (@ tptp.divide_divide_nat B) C)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) B)) C)))))
% 13.98/14.27 (assume a4076 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.divide_divide_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) B)) C)))))
% 13.98/14.27 (assume a4077 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (= (@ (@ tptp.times_3573771949741848930nteger A) (@ (@ tptp.divide6298287555418463151nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) B)) C)))))
% 13.98/14.27 (assume a4078 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) B) (=> (@ (@ tptp.dvd_dvd_nat B) A) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.divide_divide_nat B) C)) (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) C))))))
% 13.98/14.27 (assume a4079 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) B) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.divide_divide_int B) C)) (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) C))))))
% 13.98/14.27 (assume a4080 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.divide6298287555418463151nteger B) C)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C))))))
% 13.98/14.27 (assume a4081 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat B) C)) A) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) B)) C)))))
% 13.98/14.27 (assume a4082 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int B) C)) A) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) B)) C)))))
% 13.98/14.27 (assume a4083 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger B) C)) A) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C)))))
% 13.98/14.27 (assume a4084 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) C)) B) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.divide_divide_nat B) C)))))
% 13.98/14.27 (assume a4085 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) C)) B) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.divide_divide_int B) C)))))
% 13.98/14.27 (assume a4086 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) C)) B) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.divide6298287555418463151nteger B) C)))))
% 13.98/14.27 (assume a4087 (forall ((B tptp.nat) (A tptp.nat) (D tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) A) (=> (@ (@ tptp.dvd_dvd_nat D) C) (= (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) (@ (@ tptp.divide_divide_nat C) D)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D)))))))
% 13.98/14.27 (assume a4088 (forall ((B tptp.int) (A tptp.int) (D tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) A) (=> (@ (@ tptp.dvd_dvd_int D) C) (= (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) (@ (@ tptp.divide_divide_int C) D)) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D)))))))
% 13.98/14.27 (assume a4089 (forall ((B tptp.code_integer) (A tptp.code_integer) (D tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (=> (@ (@ tptp.dvd_dvd_Code_integer D) C) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) (@ (@ tptp.divide6298287555418463151nteger C) D)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) C)) (@ (@ tptp.times_3573771949741848930nteger B) D)))))))
% 13.98/14.27 (assume a4090 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) A) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) C)) (@ (@ tptp.divide_divide_nat B) C))))))
% 13.98/14.27 (assume a4091 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) A) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) C)) (@ (@ tptp.divide_divide_int B) C))))))
% 13.98/14.27 (assume a4092 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ 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))))))
% 13.98/14.27 (assume a4093 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat A) B)) C) (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat A) C)) (@ (@ tptp.divide_divide_nat B) C))))))
% 13.98/14.27 (assume a4094 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int A) B)) C) (@ (@ tptp.plus_plus_int (@ (@ tptp.divide_divide_int A) C)) (@ (@ tptp.divide_divide_int B) C))))))
% 13.98/14.27 (assume a4095 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ 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))))))
% 13.98/14.27 (assume a4096 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= (= (@ (@ tptp.divide_divide_nat B) A) (@ (@ tptp.divide_divide_nat C) A)) (= B C)))))
% 13.98/14.27 (assume a4097 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= (= (@ (@ tptp.divide_divide_int B) A) (@ (@ tptp.divide_divide_int C) A)) (= B C)))))
% 13.98/14.27 (assume a4098 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= (= (@ (@ tptp.divide6298287555418463151nteger B) A) (@ (@ tptp.divide6298287555418463151nteger C) A)) (= B C)))))
% 13.98/14.27 (assume a4099 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.divide_divide_nat A) B)) C) (@ (@ tptp.dvd_dvd_nat A) C)))))
% 13.98/14.27 (assume a4100 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.divide_divide_int A) B)) C) (@ (@ tptp.dvd_dvd_int A) C)))))
% 13.98/14.27 (assume a4101 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.divide6298287555418463151nteger A) B)) C) (@ (@ tptp.dvd_dvd_Code_integer A) C)))))
% 13.98/14.27 (assume a4102 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.divide_divide_nat C) B)) (@ (@ tptp.dvd_dvd_nat A) C)))))
% 13.98/14.27 (assume a4103 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.divide_divide_int C) B)) (@ (@ tptp.dvd_dvd_int A) C)))))
% 13.98/14.27 (assume a4104 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.divide6298287555418463151nteger C) B)) (@ (@ tptp.dvd_dvd_Code_integer A) C)))))
% 13.98/14.27 (assume a4105 (forall ((B tptp.nat) (A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) A) (= (@ (@ tptp.power_power_nat (@ (@ tptp.divide_divide_nat A) B)) N2) (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat A) N2)) (@ (@ tptp.power_power_nat B) N2))))))
% 13.98/14.27 (assume a4106 (forall ((B tptp.int) (A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.power_power_int (@ (@ tptp.divide_divide_int A) B)) N2) (@ (@ tptp.divide_divide_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2))))))
% 13.98/14.27 (assume a4107 (forall ((B tptp.code_integer) (A tptp.code_integer) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.power_8256067586552552935nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) N2) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.power_8256067586552552935nteger A) N2)) (@ (@ tptp.power_8256067586552552935nteger B) N2))))))
% 13.98/14.27 (assume a4108 (forall ((X tptp.code_integer) (Y tptp.code_integer) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer X) Y) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger X) N2)) (@ (@ tptp.power_8256067586552552935nteger Y) M))))))
% 13.98/14.27 (assume a4109 (forall ((X tptp.nat) (Y tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat X) Y) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat X) N2)) (@ (@ tptp.power_power_nat Y) M))))))
% 13.98/14.27 (assume a4110 (forall ((X tptp.real) (Y tptp.real) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_real X) Y) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real Y) M))))))
% 13.98/14.27 (assume a4111 (forall ((X tptp.int) (Y tptp.int) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int X) Y) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int X) N2)) (@ (@ tptp.power_power_int Y) M))))))
% 13.98/14.27 (assume a4112 (forall ((X tptp.complex) (Y tptp.complex) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_complex X) Y) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_complex Y) M))))))
% 13.98/14.27 (assume a4113 (forall ((A tptp.code_integer) (N2 tptp.nat) (B tptp.code_integer) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger A) N2)) B) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger A) M)) B)))))
% 13.98/14.27 (assume a4114 (forall ((A tptp.nat) (N2 tptp.nat) (B tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat A) N2)) B) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat A) M)) B)))))
% 13.98/14.27 (assume a4115 (forall ((A tptp.real) (N2 tptp.nat) (B tptp.real) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_real (@ (@ tptp.power_power_real A) N2)) B) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.power_power_real A) M)) B)))))
% 13.98/14.27 (assume a4116 (forall ((A tptp.int) (N2 tptp.nat) (B tptp.int) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int A) N2)) B) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int A) M)) B)))))
% 13.98/14.27 (assume a4117 (forall ((A tptp.complex) (N2 tptp.nat) (B tptp.complex) (M tptp.nat)) (=> (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.power_power_complex A) N2)) B) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.power_power_complex A) M)) B)))))
% 13.98/14.27 (assume a4118 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.code_integer)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger A) M)) (@ (@ tptp.power_8256067586552552935nteger A) N2)))))
% 13.98/14.27 (assume a4119 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat A) M)) (@ (@ tptp.power_power_nat A) N2)))))
% 13.98/14.27 (assume a4120 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.power_power_real A) M)) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.27 (assume a4121 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int A) M)) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.27 (assume a4122 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_complex (@ (@ tptp.power_power_complex A) M)) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.27 (assume a4123 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (= (@ (@ tptp.modulo364778990260209775nteger A) C) (@ (@ tptp.modulo364778990260209775nteger B) C)) (@ (@ tptp.dvd_dvd_Code_integer C) (@ (@ tptp.minus_8373710615458151222nteger A) B)))))
% 13.98/14.27 (assume a4124 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (= (@ (@ tptp.modulo_modulo_int A) C) (@ (@ tptp.modulo_modulo_int B) C)) (@ (@ tptp.dvd_dvd_int C) (@ (@ tptp.minus_minus_int A) B)))))
% 13.98/14.27 (assume a4125 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((D3 tptp.nat) (X5 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat D3) A) (@ (@ tptp.dvd_dvd_nat D3) B) (= (@ (@ tptp.times_times_nat A) X5) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat B) Y5)) D3)))))))
% 13.98/14.27 (assume a4126 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_nat M) N2) (not (@ (@ tptp.dvd_dvd_nat N2) M))))))
% 13.98/14.27 (assume a4127 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat M) (@ (@ tptp.minus_minus_nat N2) M)) (or (@ (@ tptp.ord_less_nat N2) M) (@ (@ tptp.dvd_dvd_nat M) N2)))))
% 13.98/14.27 (assume a4128 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat K) (@ (@ tptp.minus_minus_nat M) N2)) (=> (@ (@ tptp.dvd_dvd_nat K) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_nat K) M))))))
% 13.98/14.27 (assume a4129 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat K) (@ (@ tptp.minus_minus_nat M) N2)) (=> (@ (@ tptp.dvd_dvd_nat K) M) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_nat K) N2))))))
% 13.98/14.27 (assume a4130 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.dvd_dvd_nat M) N2) (@ (@ tptp.dvd_dvd_nat M) (@ (@ tptp.minus_minus_nat N2) M))))))
% 13.98/14.27 (assume a4131 (= tptp.neg_nu7009210354673126013omplex (lambda ((X2 tptp.complex)) (@ (@ tptp.plus_plus_complex X2) X2))))
% 13.98/14.27 (assume a4132 (= tptp.neg_numeral_dbl_real (lambda ((X2 tptp.real)) (@ (@ tptp.plus_plus_real X2) X2))))
% 13.98/14.27 (assume a4133 (= tptp.neg_numeral_dbl_int (lambda ((X2 tptp.int)) (@ (@ tptp.plus_plus_int X2) X2))))
% 13.98/14.27 (assume a4134 (forall ((M tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((D2 tptp.nat)) (@ (@ tptp.dvd_dvd_nat D2) M)))))))
% 13.98/14.27 (assume a4135 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.divide_divide_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (=> (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) X) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Y)) (= X Y)))))
% 13.98/14.27 (assume a4136 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ 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.times_3573771949741848930nteger A) C3)))))))))
% 13.98/14.27 (assume a4137 (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (not (=> (not (= A tptp.zero_zero_nat)) (forall ((C3 tptp.nat)) (not (= B (@ (@ tptp.times_times_nat A) C3)))))))))
% 13.98/14.27 (assume a4138 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (not (=> (not (= A tptp.zero_zero_int)) (forall ((C3 tptp.int)) (not (= B (@ (@ tptp.times_times_int A) C3)))))))))
% 13.98/14.27 (assume a4139 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (@ (@ tptp.dvd_dvd_nat A) B) (= (= (@ (@ tptp.divide_divide_nat B) A) C) (= B (@ (@ tptp.times_times_nat C) A)))))))
% 13.98/14.27 (assume a4140 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (@ (@ tptp.dvd_dvd_int A) B) (= (= (@ (@ tptp.divide_divide_int B) A) C) (= B (@ (@ tptp.times_times_int C) A)))))))
% 13.98/14.27 (assume a4141 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (@ (@ tptp.dvd_dvd_Code_integer A) B) (= (= (@ (@ tptp.divide6298287555418463151nteger B) A) C) (= B (@ (@ tptp.times_3573771949741848930nteger C) A)))))))
% 13.98/14.27 (assume a4142 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (=> (@ (@ tptp.dvd_dvd_nat B) A) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.divide_divide_nat A) B)) C) (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.times_times_nat C) B)))))))
% 13.98/14.27 (assume a4143 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.divide_divide_int A) B)) C) (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.times_times_int C) B)))))))
% 13.98/14.27 (assume a4144 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.divide6298287555418463151nteger A) B)) C) (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.times_3573771949741848930nteger C) B)))))))
% 13.98/14.27 (assume a4145 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (=> (@ (@ tptp.dvd_dvd_nat C) B) (= (@ (@ tptp.dvd_dvd_nat A) (@ (@ tptp.divide_divide_nat B) C)) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat A) C)) B))))))
% 13.98/14.27 (assume a4146 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (not (= C tptp.zero_zero_int)) (=> (@ (@ tptp.dvd_dvd_int C) B) (= (@ (@ tptp.dvd_dvd_int A) (@ (@ tptp.divide_divide_int B) C)) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int A) C)) B))))))
% 13.98/14.27 (assume a4147 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) B) (= (@ (@ tptp.dvd_dvd_Code_integer A) (@ (@ tptp.divide6298287555418463151nteger B) C)) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger A) C)) B))))))
% 13.98/14.27 (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.dvd_dvd_nat A) B) (=> (@ (@ tptp.dvd_dvd_nat C) D) (= (= (@ (@ tptp.divide_divide_nat B) A) (@ (@ tptp.divide_divide_nat D) C)) (= (@ (@ tptp.times_times_nat B) C) (@ (@ tptp.times_times_nat A) D)))))))))
% 13.98/14.27 (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.dvd_dvd_int A) B) (=> (@ (@ tptp.dvd_dvd_int C) D) (= (= (@ (@ tptp.divide_divide_int B) A) (@ (@ tptp.divide_divide_int D) C)) (= (@ (@ tptp.times_times_int B) C) (@ (@ tptp.times_times_int A) D)))))))))
% 13.98/14.27 (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.dvd_dvd_Code_integer A) B) (=> (@ (@ tptp.dvd_dvd_Code_integer C) D) (= (= (@ (@ tptp.divide6298287555418463151nteger B) A) (@ (@ tptp.divide6298287555418463151nteger D) C)) (= (@ (@ tptp.times_3573771949741848930nteger B) C) (@ (@ tptp.times_3573771949741848930nteger A) D)))))))))
% 13.98/14.27 (assume a4151 (forall ((N2 tptp.num)) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 N2)))))
% 13.98/14.27 (assume a4152 (forall ((N2 tptp.num)) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2)))))
% 13.98/14.27 (assume a4153 (forall ((N2 tptp.num)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))))
% 13.98/14.27 (assume a4154 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (= (@ (@ tptp.divide_divide_nat A) B) tptp.zero_zero_nat) (= A tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4155 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (= (@ (@ tptp.divide_divide_int A) B) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 13.98/14.27 (assume a4156 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (= (@ (@ tptp.divide6298287555418463151nteger A) B) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger)))))
% 13.98/14.27 (assume a4157 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (= (@ (@ tptp.divide_divide_nat A) B) C) (= A (@ (@ tptp.times_times_nat C) B))))))
% 13.98/14.27 (assume a4158 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (= (@ (@ tptp.divide_divide_int A) B) C) (= A (@ (@ tptp.times_times_int C) B))))))
% 13.98/14.27 (assume a4159 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (= (@ (@ tptp.divide6298287555418463151nteger A) B) C) (= A (@ (@ tptp.times_3573771949741848930nteger C) B))))))
% 13.98/14.27 (assume a4160 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (= A (@ (@ tptp.divide_divide_nat C) B)) (= (@ (@ tptp.times_times_nat A) B) C)))))
% 13.98/14.27 (assume a4161 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (= A (@ (@ tptp.divide_divide_int C) B)) (= (@ (@ tptp.times_times_int A) B) C)))))
% 13.98/14.27 (assume a4162 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (= A (@ (@ tptp.divide6298287555418463151nteger C) B)) (= (@ (@ tptp.times_3573771949741848930nteger A) B) C)))))
% 13.98/14.27 (assume a4163 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) tptp.one_one_nat) (=> (@ (@ tptp.dvd_dvd_nat B) A) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) B)) C))))))
% 13.98/14.27 (assume a4164 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) tptp.one_one_int) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) B)) C))))))
% 13.98/14.27 (assume a4165 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C))))))
% 13.98/14.27 (assume a4166 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.times_times_nat (@ (@ tptp.divide_divide_nat A) B)) C) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) C)) B)))))
% 13.98/14.27 (assume a4167 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.times_times_int (@ (@ tptp.divide_divide_int A) B)) C) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) C)) B)))))
% 13.98/14.27 (assume a4168 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) C)) B)))))
% 13.98/14.27 (assume a4169 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat C) tptp.one_one_nat) (= (@ (@ tptp.times_times_nat A) (@ (@ tptp.divide_divide_nat B) C)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) B)) C)))))
% 13.98/14.27 (assume a4170 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_int C) tptp.one_one_int) (= (@ (@ tptp.times_times_int A) (@ (@ tptp.divide_divide_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) B)) C)))))
% 13.98/14.27 (assume a4171 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer) (= (@ (@ tptp.times_3573771949741848930nteger A) (@ (@ tptp.divide6298287555418463151nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) B)) C)))))
% 13.98/14.27 (assume a4172 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (=> (@ (@ tptp.dvd_dvd_nat C) tptp.one_one_nat) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat B) C)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) B)) C))))))
% 13.98/14.27 (assume a4173 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (=> (@ (@ tptp.dvd_dvd_int C) tptp.one_one_int) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int B) C)) (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) B)) C))))))
% 13.98/14.27 (assume a4174 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (=> (@ (@ tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger B) C)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) B)) C))))))
% 13.98/14.27 (assume a4175 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger A) N2)) tptp.one_one_Code_integer) (or (@ (@ tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4176 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat A) N2)) tptp.one_one_nat) (or (@ (@ tptp.dvd_dvd_nat A) tptp.one_one_nat) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4177 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int A) N2)) tptp.one_one_int) (or (@ (@ tptp.dvd_dvd_int A) tptp.one_one_int) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4178 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.modulo364778990260209775nteger A) B) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4179 (forall ((B tptp.nat) (A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.modulo_modulo_nat A) B) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4180 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.modulo_modulo_int A) B) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4181 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat K) N2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_nat K) N2)))))
% 13.98/14.27 (assume a4182 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.dvd_dvd_nat M) N2)))))
% 13.98/14.27 (assume a4183 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat K) M)) (@ (@ tptp.times_times_nat K) N2)) (@ (@ tptp.dvd_dvd_nat M) N2)))))
% 13.98/14.27 (assume a4184 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.modulo_modulo_nat M) N2)) (not (@ (@ tptp.dvd_dvd_nat N2) M)))))
% 13.98/14.27 (assume a4185 (forall ((N2 tptp.nat) (M tptp.nat) (Q2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (= (@ (@ tptp.modulo_modulo_nat M) Q2) (@ (@ tptp.modulo_modulo_nat N2) Q2)) (@ (@ tptp.dvd_dvd_nat Q2) (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.27 (assume a4186 (forall ((X tptp.product_prod_nat_nat)) (not (forall ((K2 tptp.nat) (M5 tptp.nat)) (not (= X (@ (@ tptp.product_Pair_nat_nat K2) M5)))))))
% 13.98/14.27 (assume a4187 (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 13.98/14.27 (assume a4188 (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 13.98/14.27 (assume a4189 (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 13.98/14.27 (assume a4190 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (not (forall ((B3 tptp.code_integer)) (not (= A (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B3))))))))
% 13.98/14.27 (assume a4191 (forall ((A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (not (forall ((B3 tptp.nat)) (not (= A (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B3))))))))
% 13.98/14.27 (assume a4192 (forall ((A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (not (forall ((B3 tptp.int)) (not (= A (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B3))))))))
% 13.98/14.27 (assume a4193 (forall ((A tptp.nat) (C tptp.nat)) (=> (@ (@ 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.dvd_dvd_nat B3) tptp.one_one_nat) (=> (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) A) B3) (=> (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) B3) A) (=> (= (@ (@ tptp.times_times_nat A) B3) tptp.one_one_nat) (not (= (@ (@ tptp.divide_divide_nat C) A) (@ (@ tptp.times_times_nat C) B3))))))))))))))
% 13.98/14.27 (assume a4194 (forall ((A tptp.int) (C tptp.int)) (=> (@ (@ 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.dvd_dvd_int B3) tptp.one_one_int) (=> (= (@ (@ tptp.divide_divide_int tptp.one_one_int) A) B3) (=> (= (@ (@ tptp.divide_divide_int tptp.one_one_int) B3) A) (=> (= (@ (@ tptp.times_times_int A) B3) tptp.one_one_int) (not (= (@ (@ tptp.divide_divide_int C) A) (@ (@ tptp.times_times_int C) B3))))))))))))))
% 13.98/14.27 (assume a4195 (forall ((A tptp.code_integer) (C tptp.code_integer)) (=> (@ (@ 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.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.times_3573771949741848930nteger A) B3) tptp.one_one_Code_integer) (not (= (@ (@ tptp.divide6298287555418463151nteger C) A) (@ (@ tptp.times_3573771949741848930nteger C) B3))))))))))))))
% 13.98/14.27 (assume a4196 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat A) B)) (@ (@ tptp.divide_divide_nat tptp.one_one_nat) B))))))
% 13.98/14.27 (assume a4197 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.divide_divide_int tptp.one_one_int) B))))))
% 13.98/14.27 (assume a4198 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger A) B)) (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) B))))))
% 13.98/14.27 (assume a4199 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (@ (@ tptp.dvd_dvd_nat B) tptp.one_one_nat) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat B) A)) (@ (@ tptp.divide_divide_nat tptp.one_one_nat) B))))))
% 13.98/14.27 (assume a4200 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (@ (@ tptp.dvd_dvd_int B) tptp.one_one_int) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int B) A)) (@ (@ tptp.divide_divide_int tptp.one_one_int) B))))))
% 13.98/14.27 (assume a4201 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger B) A)) (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) B))))))
% 13.98/14.27 (assume a4202 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_p5714425477246183910nteger A) B))))))
% 13.98/14.27 (assume a4203 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.27 (assume a4204 (forall ((A tptp.int) (B tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.27 (assume a4205 (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a4206 (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat)))
% 13.98/14.27 (assume a4207 (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int)))
% 13.98/14.27 (assume a4208 (= (lambda ((Y4 tptp.nat) (Z2 tptp.nat)) (= Y4 Z2)) (lambda ((A4 tptp.nat) (B4 tptp.nat)) (and (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A4) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B4)) (= (@ (@ tptp.divide_divide_nat A4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat B4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4209 (= (lambda ((Y4 tptp.int) (Z2 tptp.int)) (= Y4 Z2)) (lambda ((A4 tptp.int) (B4 tptp.int)) (and (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A4) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B4)) (= (@ (@ tptp.divide_divide_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int B4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4210 (= (lambda ((Y4 tptp.code_integer) (Z2 tptp.code_integer)) (= Y4 Z2)) (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (and (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A4) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B4)) (= (@ (@ tptp.divide6298287555418463151nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger B4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4211 (forall ((X tptp.code_integer) (M tptp.nat) (N2 tptp.nat)) (=> (not (= X tptp.zero_z3403309356797280102nteger)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger X) M)) (@ (@ tptp.power_8256067586552552935nteger X) N2)) (or (@ (@ tptp.dvd_dvd_Code_integer X) tptp.one_one_Code_integer) (@ (@ tptp.ord_less_eq_nat M) N2))))))
% 13.98/14.27 (assume a4212 (forall ((X tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat X) M)) (@ (@ tptp.power_power_nat X) N2)) (or (@ (@ tptp.dvd_dvd_nat X) tptp.one_one_nat) (@ (@ tptp.ord_less_eq_nat M) N2))))))
% 13.98/14.27 (assume a4213 (forall ((X tptp.int) (M tptp.nat) (N2 tptp.nat)) (=> (not (= X tptp.zero_zero_int)) (= (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int X) M)) (@ (@ tptp.power_power_int X) N2)) (or (@ (@ tptp.dvd_dvd_int X) tptp.one_one_int) (@ (@ tptp.ord_less_eq_nat M) N2))))))
% 13.98/14.27 (assume a4214 (forall ((N2 tptp.nat) (X tptp.code_integer)) (=> (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= X tptp.one_one_Code_integer)) (@ (@ tptp.dvd_dvd_Code_integer X) (@ (@ tptp.power_8256067586552552935nteger X) N2)))))
% 13.98/14.27 (assume a4215 (forall ((N2 tptp.nat) (X tptp.extended_enat)) (=> (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= X tptp.one_on7984719198319812577d_enat)) (@ (@ tptp.dvd_dv3785147216227455552d_enat X) (@ (@ tptp.power_8040749407984259932d_enat X) N2)))))
% 13.98/14.27 (assume a4216 (forall ((N2 tptp.nat) (X tptp.nat)) (=> (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= X tptp.one_one_nat)) (@ (@ tptp.dvd_dvd_nat X) (@ (@ tptp.power_power_nat X) N2)))))
% 13.98/14.27 (assume a4217 (forall ((N2 tptp.nat) (X tptp.real)) (=> (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= X tptp.one_one_real)) (@ (@ tptp.dvd_dvd_real X) (@ (@ tptp.power_power_real X) N2)))))
% 13.98/14.27 (assume a4218 (forall ((N2 tptp.nat) (X tptp.int)) (=> (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= X tptp.one_one_int)) (@ (@ tptp.dvd_dvd_int X) (@ (@ tptp.power_power_int X) N2)))))
% 13.98/14.27 (assume a4219 (forall ((N2 tptp.nat) (X tptp.complex)) (=> (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= X tptp.one_one_complex)) (@ (@ tptp.dvd_dvd_complex X) (@ (@ tptp.power_power_complex X) N2)))))
% 13.98/14.27 (assume a4220 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat M) N2)) M) (= N2 tptp.one_one_nat)))))
% 13.98/14.27 (assume a4221 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat N2) M)) M) (= N2 tptp.one_one_nat)))))
% 13.98/14.27 (assume a4222 (forall ((Q2 tptp.nat) (N2 tptp.nat) (R tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat Q2) N2) (=> (@ (@ tptp.ord_less_eq_nat Q2) (@ (@ tptp.times_times_nat R) M)) (= (@ (@ tptp.dvd_dvd_nat M) (@ (@ tptp.minus_minus_nat N2) Q2)) (@ (@ tptp.dvd_dvd_nat M) (@ (@ tptp.plus_plus_nat N2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat R) M)) Q2))))))))
% 13.98/14.27 (assume a4223 (forall ((I2 tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat I2) M)) (@ (@ tptp.power_power_nat I2) N2)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) I2) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.27 (assume a4224 (forall ((R tptp.nat) (N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat R) N2) (=> (@ (@ tptp.ord_less_eq_nat R) M) (=> (@ (@ tptp.dvd_dvd_nat N2) (@ (@ tptp.minus_minus_nat M) R)) (= (@ (@ tptp.modulo_modulo_nat M) N2) R))))))
% 13.98/14.27 (assume a4225 (forall ((A tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) A))))
% 13.98/14.27 (assume a4226 (forall ((A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) A))))
% 13.98/14.27 (assume a4227 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) A))))
% 13.98/14.27 (assume a4228 (forall ((A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4229 (forall ((A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4230 (forall ((A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4231 (forall ((A tptp.code_integer)) (= (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a4232 (forall ((A tptp.nat)) (= (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 13.98/14.27 (assume a4233 (forall ((A tptp.int)) (= (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int))))
% 13.98/14.27 (assume a4234 (forall ((N2 tptp.nat) (A tptp.real) (B tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2))))))
% 13.98/14.27 (assume a4235 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2))))))
% 13.98/14.27 (assume a4236 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.27 (assume a4237 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K) (= (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat K) M)) (@ (@ tptp.power_power_nat K) N2)) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.27 (assume a4238 (forall ((M tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se8260200283734997820nteger M) A)) (or (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= M tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4239 (forall ((M tptp.nat) (A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se4203085406695923979it_int M) A)) (or (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= M tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4240 (forall ((M tptp.nat) (A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se4205575877204974255it_nat M) A)) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= M tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4241 (forall ((M tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2793503036327961859nteger M) A)) (and (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (not (= M tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4242 (forall ((M tptp.nat) (A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se7879613467334960850it_int M) A)) (and (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (not (= M tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4243 (forall ((M tptp.nat) (A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se7882103937844011126it_nat M) A)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (not (= M tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4244 (forall ((M tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1345352211410354436nteger M) A)) (not (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= M tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4245 (forall ((M tptp.nat) (A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2159334234014336723it_int M) A)) (not (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= M tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4246 (forall ((M tptp.nat) (A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2161824704523386999it_nat M) A)) (not (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= M tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4247 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_int K) L2)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int K) L2)))))
% 13.98/14.27 (assume a4248 (forall ((A tptp.code_integer)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.code_integer)) (not (= A (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B3)) tptp.one_one_Code_integer))))))))
% 13.98/14.27 (assume a4249 (forall ((A tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.nat)) (not (= A (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B3)) tptp.one_one_nat))))))))
% 13.98/14.27 (assume a4250 (forall ((A tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.int)) (not (= A (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B3)) tptp.one_one_int))))))))
% 13.98/14.27 (assume a4251 (forall ((A tptp.code_integer)) (and (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a4252 (forall ((A tptp.nat)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat)))))
% 13.98/14.27 (assume a4253 (forall ((A tptp.int)) (and (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int)))))
% 13.98/14.27 (assume a4254 (forall ((A tptp.code_integer)) (=> (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (not (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))) (not (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (not (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))))
% 13.98/14.27 (assume a4255 (forall ((A tptp.nat)) (=> (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (not (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat))) (not (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (not (= (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_nat)))))))
% 13.98/14.27 (assume a4256 (forall ((A tptp.int)) (=> (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (not (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int))) (not (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (not (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int)))))))
% 13.98/14.27 (assume a4257 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) N2)) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))))
% 13.98/14.27 (assume a4258 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) N2)) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 13.98/14.27 (assume a4259 (forall ((N2 tptp.nat) (A tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 13.98/14.27 (assume a4260 (forall ((N2 tptp.nat) (A tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 13.98/14.27 (assume a4261 (forall ((N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.27 (assume a4262 (forall ((N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.27 (assume a4263 (forall ((X tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (not (forall ((N4 tptp.nat)) (not (= X (@ tptp.suc N4))))))))
% 13.98/14.27 (assume a4264 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.power_power_real A) N2)) (or (= N2 tptp.zero_zero_nat) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (not (= A tptp.zero_zero_real))) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))))
% 13.98/14.27 (assume a4265 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.power_power_int A) N2)) (or (= N2 tptp.zero_zero_nat) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (not (= A tptp.zero_zero_int))) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) A))))))
% 13.98/14.27 (assume a4266 (forall ((P (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (= (@ (@ P A3) B3) (@ (@ P B3) A3))) (=> (forall ((A3 tptp.nat)) (@ (@ P A3) tptp.zero_zero_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (@ (@ P A3) B3) (@ (@ P A3) (@ (@ tptp.plus_plus_nat A3) B3)))) (@ (@ P A) B))))))
% 13.98/14.27 (assume a4267 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) tptp.one_one_nat)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.27 (assume a4268 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) tptp.one_one_int)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.27 (assume a4269 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M)) tptp.one_one_Code_integer)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.27 (assume a4270 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) tptp.zero_zero_real) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (or (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= A tptp.zero_zero_real)))))))
% 13.98/14.27 (assume a4271 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) tptp.zero_zero_int) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (or (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= A tptp.zero_zero_int)))))))
% 13.98/14.27 (assume a4272 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) tptp.one_one_nat)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (or (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.27 (assume a4273 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) tptp.one_one_int)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (or (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.27 (assume a4274 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M)) tptp.one_one_Code_integer)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2))) (or (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.ord_less_eq_nat M) N2)))))
% 13.98/14.27 (assume a4275 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (or (@ (@ tptp.ord_less_nat N2) M) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_nat) (and (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)))))))))
% 13.98/14.27 (assume a4276 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (or (@ (@ tptp.ord_less_nat N2) M) (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_int) (and (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)))))))))
% 13.98/14.27 (assume a4277 (forall ((A tptp.code_integer) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2))) (or (@ (@ tptp.ord_less_nat N2) M) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2) tptp.zero_z3403309356797280102nteger) (and (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) M)))))))))
% 13.98/14.27 (assume a4278 (forall ((X8 tptp.set_Extended_enat)) (=> (not (= X8 tptp.bot_bo7653980558646680370d_enat)) (=> (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.member_Extended_enat X5) X8) (exists ((Xa tptp.extended_enat)) (and (@ (@ tptp.member_Extended_enat Xa) X8) (@ (@ tptp.ord_le72135733267957522d_enat X5) Xa))))) (not (@ tptp.finite4001608067531595151d_enat X8))))))
% 13.98/14.27 (assume a4279 (forall ((X8 tptp.set_real)) (=> (not (= X8 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) X8) (exists ((Xa tptp.real)) (and (@ (@ tptp.member_real Xa) X8) (@ (@ tptp.ord_less_real X5) Xa))))) (not (@ tptp.finite_finite_real X8))))))
% 13.98/14.27 (assume a4280 (forall ((X8 tptp.set_num)) (=> (not (= X8 tptp.bot_bot_set_num)) (=> (forall ((X5 tptp.num)) (=> (@ (@ tptp.member_num X5) X8) (exists ((Xa tptp.num)) (and (@ (@ tptp.member_num Xa) X8) (@ (@ tptp.ord_less_num X5) Xa))))) (not (@ tptp.finite_finite_num X8))))))
% 13.98/14.27 (assume a4281 (forall ((X8 tptp.set_nat)) (=> (not (= X8 tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) X8) (exists ((Xa tptp.nat)) (and (@ (@ tptp.member_nat Xa) X8) (@ (@ tptp.ord_less_nat X5) Xa))))) (not (@ tptp.finite_finite_nat X8))))))
% 13.98/14.27 (assume a4282 (forall ((X8 tptp.set_int)) (=> (not (= X8 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) X8) (exists ((Xa tptp.int)) (and (@ (@ tptp.member_int Xa) X8) (@ (@ tptp.ord_less_int X5) Xa))))) (not (@ tptp.finite_finite_int X8))))))
% 13.98/14.27 (assume a4283 (forall ((S tptp.set_Extended_enat)) (=> (@ tptp.finite4001608067531595151d_enat S) (=> (not (= S tptp.bot_bo7653980558646680370d_enat)) (exists ((X5 tptp.extended_enat)) (and (@ (@ tptp.member_Extended_enat X5) S) (not (exists ((Xa tptp.extended_enat)) (and (@ (@ tptp.member_Extended_enat Xa) S) (@ (@ tptp.ord_le72135733267957522d_enat Xa) X5))))))))))
% 13.98/14.27 (assume a4284 (forall ((S tptp.set_real)) (=> (@ tptp.finite_finite_real S) (=> (not (= S tptp.bot_bot_set_real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) S) (not (exists ((Xa tptp.real)) (and (@ (@ tptp.member_real Xa) S) (@ (@ tptp.ord_less_real Xa) X5))))))))))
% 13.98/14.27 (assume a4285 (forall ((S tptp.set_num)) (=> (@ tptp.finite_finite_num S) (=> (not (= S tptp.bot_bot_set_num)) (exists ((X5 tptp.num)) (and (@ (@ tptp.member_num X5) S) (not (exists ((Xa tptp.num)) (and (@ (@ tptp.member_num Xa) S) (@ (@ tptp.ord_less_num Xa) X5))))))))))
% 13.98/14.27 (assume a4286 (forall ((S tptp.set_nat)) (=> (@ tptp.finite_finite_nat S) (=> (not (= S tptp.bot_bot_set_nat)) (exists ((X5 tptp.nat)) (and (@ (@ tptp.member_nat X5) S) (not (exists ((Xa tptp.nat)) (and (@ (@ tptp.member_nat Xa) S) (@ (@ tptp.ord_less_nat Xa) X5))))))))))
% 13.98/14.27 (assume a4287 (forall ((S tptp.set_int)) (=> (@ tptp.finite_finite_int S) (=> (not (= S tptp.bot_bot_set_int)) (exists ((X5 tptp.int)) (and (@ (@ tptp.member_int X5) S) (not (exists ((Xa tptp.int)) (and (@ (@ tptp.member_int Xa) S) (@ (@ tptp.ord_less_int Xa) X5))))))))))
% 13.98/14.27 (assume a4288 (forall ((N2 tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a4289 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4290 (forall ((D tptp.code_integer) (D4 tptp.code_integer) (T tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer D) D4) (forall ((X3 tptp.code_integer) (K4 tptp.code_integer)) (= (not (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) T))) (not (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.minus_8373710615458151222nteger X3) (@ (@ tptp.times_3573771949741848930nteger K4) D4))) T))))))))
% 13.98/14.27 (assume a4291 (forall ((D tptp.complex) (D4 tptp.complex) (T tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex D) D4) (forall ((X3 tptp.complex) (K4 tptp.complex)) (= (not (@ (@ tptp.dvd_dvd_complex D) (@ (@ tptp.plus_plus_complex X3) T))) (not (@ (@ tptp.dvd_dvd_complex D) (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex X3) (@ (@ tptp.times_times_complex K4) D4))) T))))))))
% 13.98/14.27 (assume a4292 (forall ((D tptp.real) (D4 tptp.real) (T tptp.real)) (=> (@ (@ tptp.dvd_dvd_real D) D4) (forall ((X3 tptp.real) (K4 tptp.real)) (= (not (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) T))) (not (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real X3) (@ (@ tptp.times_times_real K4) D4))) T))))))))
% 13.98/14.27 (assume a4293 (forall ((D tptp.int) (D4 tptp.int) (T tptp.int)) (=> (@ (@ tptp.dvd_dvd_int D) D4) (forall ((X3 tptp.int) (K4 tptp.int)) (= (not (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) T))) (not (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int X3) (@ (@ tptp.times_times_int K4) D4))) T))))))))
% 13.98/14.27 (assume a4294 (forall ((D tptp.code_integer) (D4 tptp.code_integer) (T tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer D) D4) (forall ((X3 tptp.code_integer) (K4 tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) T)) (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.minus_8373710615458151222nteger X3) (@ (@ tptp.times_3573771949741848930nteger K4) D4))) T)))))))
% 13.98/14.27 (assume a4295 (forall ((D tptp.complex) (D4 tptp.complex) (T tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex D) D4) (forall ((X3 tptp.complex) (K4 tptp.complex)) (= (@ (@ tptp.dvd_dvd_complex D) (@ (@ tptp.plus_plus_complex X3) T)) (@ (@ tptp.dvd_dvd_complex D) (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex X3) (@ (@ tptp.times_times_complex K4) D4))) T)))))))
% 13.98/14.27 (assume a4296 (forall ((D tptp.real) (D4 tptp.real) (T tptp.real)) (=> (@ (@ tptp.dvd_dvd_real D) D4) (forall ((X3 tptp.real) (K4 tptp.real)) (= (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) T)) (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real X3) (@ (@ tptp.times_times_real K4) D4))) T)))))))
% 13.98/14.27 (assume a4297 (forall ((D tptp.int) (D4 tptp.int) (T tptp.int)) (=> (@ (@ tptp.dvd_dvd_int D) D4) (forall ((X3 tptp.int) (K4 tptp.int)) (= (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) T)) (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int X3) (@ (@ tptp.times_times_int K4) D4))) T)))))))
% 13.98/14.27 (assume a4298 (forall ((P (-> tptp.code_integer Bool)) (L2 tptp.code_integer)) (= (exists ((X2 tptp.code_integer)) (@ P (@ (@ tptp.times_3573771949741848930nteger L2) X2))) (exists ((X2 tptp.code_integer)) (and (@ (@ tptp.dvd_dvd_Code_integer L2) (@ (@ tptp.plus_p5714425477246183910nteger X2) tptp.zero_z3403309356797280102nteger)) (@ P X2))))))
% 13.98/14.27 (assume a4299 (forall ((P (-> tptp.extended_enat Bool)) (L2 tptp.extended_enat)) (= (exists ((X2 tptp.extended_enat)) (@ P (@ (@ tptp.times_7803423173614009249d_enat L2) X2))) (exists ((X2 tptp.extended_enat)) (and (@ (@ tptp.dvd_dv3785147216227455552d_enat L2) (@ (@ tptp.plus_p3455044024723400733d_enat X2) tptp.zero_z5237406670263579293d_enat)) (@ P X2))))))
% 13.98/14.27 (assume a4300 (forall ((P (-> tptp.complex Bool)) (L2 tptp.complex)) (= (exists ((X2 tptp.complex)) (@ P (@ (@ tptp.times_times_complex L2) X2))) (exists ((X2 tptp.complex)) (and (@ (@ tptp.dvd_dvd_complex L2) (@ (@ tptp.plus_plus_complex X2) tptp.zero_zero_complex)) (@ P X2))))))
% 13.98/14.27 (assume a4301 (forall ((P (-> tptp.real Bool)) (L2 tptp.real)) (= (exists ((X2 tptp.real)) (@ P (@ (@ tptp.times_times_real L2) X2))) (exists ((X2 tptp.real)) (and (@ (@ tptp.dvd_dvd_real L2) (@ (@ tptp.plus_plus_real X2) tptp.zero_zero_real)) (@ P X2))))))
% 13.98/14.27 (assume a4302 (forall ((P (-> tptp.nat Bool)) (L2 tptp.nat)) (= (exists ((X2 tptp.nat)) (@ P (@ (@ tptp.times_times_nat L2) X2))) (exists ((X2 tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat L2) (@ (@ tptp.plus_plus_nat X2) tptp.zero_zero_nat)) (@ P X2))))))
% 13.98/14.27 (assume a4303 (forall ((P (-> tptp.int Bool)) (L2 tptp.int)) (= (exists ((X2 tptp.int)) (@ P (@ (@ tptp.times_times_int L2) X2))) (exists ((X2 tptp.int)) (and (@ (@ tptp.dvd_dvd_int L2) (@ (@ tptp.plus_plus_int X2) tptp.zero_zero_int)) (@ P X2))))))
% 13.98/14.27 (assume a4304 (= tptp.nat_triangle (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat N) (@ tptp.suc N))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (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 false) false)))) (=> (=> (= X (@ tptp.suc tptp.zero_zero_nat)) (not (= Y (@ (@ tptp.vEBT_Leaf false) false)))) (not (forall ((Va2 tptp.nat)) (=> (= X (@ tptp.suc (@ tptp.suc Va2))) (not (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc Va2))) (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ tptp.replicate_VEBT_VEBT (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc Va2)))) (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ tptp.replicate_VEBT_VEBT (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))))))))
% 13.98/14.27 (assume a4306 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se1345352211410354436nteger tptp.zero_zero_nat) A) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4307 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se2159334234014336723it_int tptp.zero_zero_nat) A) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4308 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se2161824704523386999it_nat tptp.zero_zero_nat) A) (@ (@ tptp.plus_plus_nat (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4309 (forall ((I2 tptp.nat) (N2 tptp.nat) (P (-> tptp.nat Bool)) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) N2) (=> (@ P X) (@ P (@ (@ tptp.nth_nat (@ (@ tptp.replicate_nat N2) X)) I2))))))
% 13.98/14.27 (assume a4310 (forall ((I2 tptp.nat) (N2 tptp.nat) (P (-> tptp.int Bool)) (X tptp.int)) (=> (@ (@ tptp.ord_less_nat I2) N2) (=> (@ P X) (@ P (@ (@ tptp.nth_int (@ (@ tptp.replicate_int N2) X)) I2))))))
% 13.98/14.27 (assume a4311 (forall ((I2 tptp.nat) (N2 tptp.nat) (P (-> tptp.vEBT_VEBT Bool)) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat I2) N2) (=> (@ P X) (@ P (@ (@ tptp.nth_VEBT_VEBT (@ (@ tptp.replicate_VEBT_VEBT N2) X)) I2))))))
% 13.98/14.27 (assume a4312 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n2687167440665602831ol_nat Q)) (=> P Q))))
% 13.98/14.27 (assume a4313 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.zero_n2684676970156552555ol_int P)) (@ tptp.zero_n2684676970156552555ol_int Q)) (=> P Q))))
% 13.98/14.27 (assume a4314 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.zero_n356916108424825756nteger P)) (@ tptp.zero_n356916108424825756nteger Q)) (=> P Q))))
% 13.98/14.27 (assume a4315 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.zero_n1046097342994218471d_enat P)) (@ tptp.zero_n1046097342994218471d_enat Q)) (and (not P) Q))))
% 13.98/14.27 (assume a4316 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_less_real (@ tptp.zero_n3304061248610475627l_real P)) (@ tptp.zero_n3304061248610475627l_real Q)) (and (not P) Q))))
% 13.98/14.27 (assume a4317 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_less_nat (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n2687167440665602831ol_nat Q)) (and (not P) Q))))
% 13.98/14.27 (assume a4318 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_less_int (@ tptp.zero_n2684676970156552555ol_int P)) (@ tptp.zero_n2684676970156552555ol_int Q)) (and (not P) Q))))
% 13.98/14.27 (assume a4319 (forall ((P Bool) (Q Bool)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.zero_n356916108424825756nteger P)) (@ tptp.zero_n356916108424825756nteger Q)) (and (not P) Q))))
% 13.98/14.27 (assume a4320 (= (@ tptp.zero_n1046097342994218471d_enat true) tptp.one_on7984719198319812577d_enat))
% 13.98/14.27 (assume a4321 (= (@ tptp.zero_n1201886186963655149omplex true) tptp.one_one_complex))
% 13.98/14.27 (assume a4322 (= (@ tptp.zero_n3304061248610475627l_real true) tptp.one_one_real))
% 13.98/14.27 (assume a4323 (= (@ tptp.zero_n2687167440665602831ol_nat true) tptp.one_one_nat))
% 13.98/14.27 (assume a4324 (= (@ tptp.zero_n2684676970156552555ol_int true) tptp.one_one_int))
% 13.98/14.27 (assume a4325 (= (@ tptp.zero_n356916108424825756nteger true) tptp.one_one_Code_integer))
% 13.98/14.27 (assume a4326 (forall ((P Bool)) (= (= (@ tptp.zero_n1046097342994218471d_enat P) tptp.one_on7984719198319812577d_enat) P)))
% 13.98/14.27 (assume a4327 (forall ((P Bool)) (= (= (@ tptp.zero_n1201886186963655149omplex P) tptp.one_one_complex) P)))
% 13.98/14.27 (assume a4328 (forall ((P Bool)) (= (= (@ tptp.zero_n3304061248610475627l_real P) tptp.one_one_real) P)))
% 13.98/14.27 (assume a4329 (forall ((P Bool)) (= (= (@ tptp.zero_n2687167440665602831ol_nat P) tptp.one_one_nat) P)))
% 13.98/14.27 (assume a4330 (forall ((P Bool)) (= (= (@ tptp.zero_n2684676970156552555ol_int P) tptp.one_one_int) P)))
% 13.98/14.27 (assume a4331 (forall ((P Bool)) (= (= (@ tptp.zero_n356916108424825756nteger P) tptp.one_one_Code_integer) P)))
% 13.98/14.27 (assume a4332 (forall ((M tptp.nat) (X tptp.vEBT_VEBT) (N2 tptp.nat) (Y tptp.vEBT_VEBT)) (= (= (@ (@ tptp.replicate_VEBT_VEBT M) X) (@ (@ tptp.replicate_VEBT_VEBT N2) Y)) (and (= M N2) (=> (not (= M tptp.zero_zero_nat)) (= X Y))))))
% 13.98/14.27 (assume a4333 (forall ((N2 tptp.nat) (X tptp.vEBT_VEBT)) (= (@ tptp.size_s6755466524823107622T_VEBT (@ (@ tptp.replicate_VEBT_VEBT N2) X)) N2)))
% 13.98/14.27 (assume a4334 (forall ((N2 tptp.nat) (X Bool)) (= (@ tptp.size_size_list_o (@ (@ tptp.replicate_o N2) X)) N2)))
% 13.98/14.27 (assume a4335 (forall ((N2 tptp.nat) (X tptp.nat)) (= (@ tptp.size_size_list_nat (@ (@ tptp.replicate_nat N2) X)) N2)))
% 13.98/14.27 (assume a4336 (forall ((N2 tptp.nat) (X tptp.int)) (= (@ tptp.size_size_list_int (@ (@ tptp.replicate_int N2) X)) N2)))
% 13.98/14.27 (assume a4337 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n2687167440665602831ol_nat (or P Q)) (@ (@ tptp.ord_max_nat (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n2687167440665602831ol_nat Q)))))
% 13.98/14.27 (assume a4338 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n2684676970156552555ol_int (or P Q)) (@ (@ tptp.ord_max_int (@ tptp.zero_n2684676970156552555ol_int P)) (@ tptp.zero_n2684676970156552555ol_int Q)))))
% 13.98/14.27 (assume a4339 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n356916108424825756nteger (or P Q)) (@ (@ tptp.ord_max_Code_integer (@ tptp.zero_n356916108424825756nteger P)) (@ tptp.zero_n356916108424825756nteger Q)))))
% 13.98/14.27 (assume a4340 (forall ((P Bool)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.zero_n3304061248610475627l_real P)) P)))
% 13.98/14.27 (assume a4341 (forall ((P Bool)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.zero_n2687167440665602831ol_nat P)) P)))
% 13.98/14.27 (assume a4342 (forall ((P Bool)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.zero_n2684676970156552555ol_int P)) P)))
% 13.98/14.27 (assume a4343 (forall ((P Bool)) (= (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ tptp.zero_n356916108424825756nteger P)) P)))
% 13.98/14.27 (assume a4344 (forall ((P Bool)) (= (@ (@ tptp.ord_less_real (@ tptp.zero_n3304061248610475627l_real P)) tptp.one_one_real) (not P))))
% 13.98/14.27 (assume a4345 (forall ((P Bool)) (= (@ (@ tptp.ord_less_nat (@ tptp.zero_n2687167440665602831ol_nat P)) tptp.one_one_nat) (not P))))
% 13.98/14.27 (assume a4346 (forall ((P Bool)) (= (@ (@ tptp.ord_less_int (@ tptp.zero_n2684676970156552555ol_int P)) tptp.one_one_int) (not P))))
% 13.98/14.27 (assume a4347 (forall ((P Bool)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer) (not P))))
% 13.98/14.27 (assume a4348 (forall ((P Bool)) (= (@ tptp.zero_n1201886186963655149omplex (not P)) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ tptp.zero_n1201886186963655149omplex P)))))
% 13.98/14.27 (assume a4349 (forall ((P Bool)) (= (@ tptp.zero_n3304061248610475627l_real (not P)) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ tptp.zero_n3304061248610475627l_real P)))))
% 13.98/14.27 (assume a4350 (forall ((P Bool)) (= (@ tptp.zero_n2684676970156552555ol_int (not P)) (@ (@ tptp.minus_minus_int tptp.one_one_int) (@ tptp.zero_n2684676970156552555ol_int P)))))
% 13.98/14.27 (assume a4351 (forall ((P Bool)) (= (@ tptp.zero_n356916108424825756nteger (not P)) (@ (@ tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer) (@ tptp.zero_n356916108424825756nteger P)))))
% 13.98/14.27 (assume a4352 (forall ((N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ tptp.zero_n2687167440665602831ol_nat (not (= N2 (@ tptp.suc tptp.zero_zero_nat)))))))
% 13.98/14.27 (assume a4353 (forall ((N2 tptp.nat) (A tptp.int) (P (-> tptp.int Bool))) (= (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) (@ tptp.set_int2 (@ (@ tptp.replicate_int N2) A))) (@ P X2))) (or (@ P A) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4354 (forall ((N2 tptp.nat) (A tptp.nat) (P (-> tptp.nat Bool))) (= (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ tptp.set_nat2 (@ (@ tptp.replicate_nat N2) A))) (@ P X2))) (or (@ P A) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4355 (forall ((N2 tptp.nat) (A tptp.vEBT_VEBT) (P (-> tptp.vEBT_VEBT Bool))) (= (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT N2) A))) (@ P X2))) (or (@ P A) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4356 (forall ((N2 tptp.nat) (A tptp.int) (P (-> tptp.int Bool))) (= (exists ((X2 tptp.int)) (and (@ (@ tptp.member_int X2) (@ tptp.set_int2 (@ (@ tptp.replicate_int N2) A))) (@ P X2))) (and (@ P A) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4357 (forall ((N2 tptp.nat) (A tptp.nat) (P (-> tptp.nat Bool))) (= (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) (@ tptp.set_nat2 (@ (@ tptp.replicate_nat N2) A))) (@ P X2))) (and (@ P A) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4358 (forall ((N2 tptp.nat) (A tptp.vEBT_VEBT) (P (-> tptp.vEBT_VEBT Bool))) (= (exists ((X2 tptp.vEBT_VEBT)) (and (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT N2) A))) (@ P X2))) (and (@ P A) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4359 (forall ((X tptp.real) (N2 tptp.nat) (Y tptp.real)) (= (@ (@ tptp.member_real X) (@ tptp.set_real2 (@ (@ tptp.replicate_real N2) Y))) (and (= X Y) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4360 (forall ((X tptp.complex) (N2 tptp.nat) (Y tptp.complex)) (= (@ (@ tptp.member_complex X) (@ tptp.set_complex2 (@ (@ tptp.replicate_complex N2) Y))) (and (= X Y) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4361 (forall ((X tptp.product_prod_nat_nat) (N2 tptp.nat) (Y tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8440522571783428010at_nat X) (@ tptp.set_Pr5648618587558075414at_nat (@ (@ tptp.replic4235873036481779905at_nat N2) Y))) (and (= X Y) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4362 (forall ((X tptp.int) (N2 tptp.nat) (Y tptp.int)) (= (@ (@ tptp.member_int X) (@ tptp.set_int2 (@ (@ tptp.replicate_int N2) Y))) (and (= X Y) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4363 (forall ((X tptp.nat) (N2 tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.member_nat X) (@ tptp.set_nat2 (@ (@ tptp.replicate_nat N2) Y))) (and (= X Y) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4364 (forall ((X tptp.vEBT_VEBT) (N2 tptp.nat) (Y tptp.vEBT_VEBT)) (= (@ (@ tptp.member_VEBT_VEBT X) (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT N2) Y))) (and (= X Y) (not (= N2 tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4365 (forall ((I2 tptp.nat) (N2 tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) N2) (= (@ (@ tptp.nth_nat (@ (@ tptp.replicate_nat N2) X)) I2) X))))
% 13.98/14.27 (assume a4366 (forall ((I2 tptp.nat) (N2 tptp.nat) (X tptp.int)) (=> (@ (@ tptp.ord_less_nat I2) N2) (= (@ (@ tptp.nth_int (@ (@ tptp.replicate_int N2) X)) I2) X))))
% 13.98/14.27 (assume a4367 (forall ((I2 tptp.nat) (N2 tptp.nat) (X tptp.vEBT_VEBT)) (=> (@ (@ tptp.ord_less_nat I2) N2) (= (@ (@ tptp.nth_VEBT_VEBT (@ (@ tptp.replicate_VEBT_VEBT N2) X)) I2) X))))
% 13.98/14.27 (assume a4368 (forall ((N2 tptp.nat)) (= (@ tptp.nat_triangle (@ tptp.suc N2)) (@ (@ tptp.plus_plus_nat (@ tptp.nat_triangle N2)) (@ tptp.suc N2)))))
% 13.98/14.27 (assume a4369 (forall ((P5 Bool)) (= (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.zero_n2687167440665602831ol_nat P5))) P5)))
% 13.98/14.27 (assume a4370 (forall ((P5 Bool)) (= (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.zero_n2684676970156552555ol_int P5))) P5)))
% 13.98/14.27 (assume a4371 (forall ((P5 Bool)) (= (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.zero_n356916108424825756nteger P5))) P5)))
% 13.98/14.27 (assume a4372 (forall ((B Bool)) (= (@ (@ tptp.divide_divide_nat (@ tptp.zero_n2687167440665602831ol_nat B)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a4373 (forall ((B Bool)) (= (@ (@ tptp.divide_divide_int (@ tptp.zero_n2684676970156552555ol_int B)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4374 (forall ((B Bool)) (= (@ (@ tptp.divide6298287555418463151nteger (@ tptp.zero_n356916108424825756nteger B)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a4375 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2687167440665602831ol_nat (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4376 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2684676970156552555ol_int (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4377 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n356916108424825756nteger (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4378 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2687167440665602831ol_nat (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4379 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2684676970156552555ol_int (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4380 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide6298287555418463151nteger tptp.one_one_Code_integer) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n356916108424825756nteger (= N2 tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4381 (forall ((N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat tptp.one_one_nat) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4382 (forall ((N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_int tptp.one_one_int) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4383 (forall ((N2 tptp.nat)) (= (@ (@ tptp.modulo364778990260209775nteger tptp.one_one_Code_integer) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4384 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat M) N2) (=> (@ (@ tptp.dvd_dvd_nat N2) M) (= M N2)))))
% 13.98/14.27 (assume a4385 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n1201886186963655149omplex (and P Q)) (@ (@ tptp.times_times_complex (@ tptp.zero_n1201886186963655149omplex P)) (@ tptp.zero_n1201886186963655149omplex Q)))))
% 13.98/14.27 (assume a4386 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n3304061248610475627l_real (and P Q)) (@ (@ tptp.times_times_real (@ tptp.zero_n3304061248610475627l_real P)) (@ tptp.zero_n3304061248610475627l_real Q)))))
% 13.98/14.27 (assume a4387 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n2687167440665602831ol_nat (and P Q)) (@ (@ tptp.times_times_nat (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n2687167440665602831ol_nat Q)))))
% 13.98/14.27 (assume a4388 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n2684676970156552555ol_int (and P Q)) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int P)) (@ tptp.zero_n2684676970156552555ol_int Q)))))
% 13.98/14.27 (assume a4389 (forall ((P Bool) (Q Bool)) (= (@ tptp.zero_n356916108424825756nteger (and P Q)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.zero_n356916108424825756nteger P)) (@ tptp.zero_n356916108424825756nteger Q)))))
% 13.98/14.27 (assume a4390 (forall ((P Bool)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.zero_n3304061248610475627l_real P))))
% 13.98/14.27 (assume a4391 (forall ((P Bool)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ tptp.zero_n2687167440665602831ol_nat P))))
% 13.98/14.27 (assume a4392 (forall ((P Bool)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.zero_n2684676970156552555ol_int P))))
% 13.98/14.27 (assume a4393 (forall ((P Bool)) (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (@ tptp.zero_n356916108424825756nteger P))))
% 13.98/14.27 (assume a4394 (forall ((P Bool)) (@ (@ tptp.ord_less_eq_real (@ tptp.zero_n3304061248610475627l_real P)) tptp.one_one_real)))
% 13.98/14.27 (assume a4395 (forall ((P Bool)) (@ (@ tptp.ord_less_eq_nat (@ tptp.zero_n2687167440665602831ol_nat P)) tptp.one_one_nat)))
% 13.98/14.27 (assume a4396 (forall ((P Bool)) (@ (@ tptp.ord_less_eq_int (@ tptp.zero_n2684676970156552555ol_int P)) tptp.one_one_int)))
% 13.98/14.27 (assume a4397 (forall ((P Bool)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a4398 (= tptp.zero_n1046097342994218471d_enat (lambda ((P4 Bool)) (@ (@ (@ tptp.if_Extended_enat P4) tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.27 (assume a4399 (= tptp.zero_n1201886186963655149omplex (lambda ((P4 Bool)) (@ (@ (@ tptp.if_complex P4) tptp.one_one_complex) tptp.zero_zero_complex))))
% 13.98/14.27 (assume a4400 (= tptp.zero_n3304061248610475627l_real (lambda ((P4 Bool)) (@ (@ (@ tptp.if_real P4) tptp.one_one_real) tptp.zero_zero_real))))
% 13.98/14.27 (assume a4401 (= tptp.zero_n2687167440665602831ol_nat (lambda ((P4 Bool)) (@ (@ (@ tptp.if_nat P4) tptp.one_one_nat) tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4402 (= tptp.zero_n2684676970156552555ol_int (lambda ((P4 Bool)) (@ (@ (@ tptp.if_int P4) tptp.one_one_int) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4403 (= tptp.zero_n356916108424825756nteger (lambda ((P4 Bool)) (@ (@ (@ tptp.if_Code_integer P4) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4404 (forall ((P (-> tptp.extended_enat Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n1046097342994218471d_enat P5)) (and (=> P5 (@ P tptp.one_on7984719198319812577d_enat)) (=> (not P5) (@ P tptp.zero_z5237406670263579293d_enat))))))
% 13.98/14.27 (assume a4405 (forall ((P (-> tptp.complex Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n1201886186963655149omplex P5)) (and (=> P5 (@ P tptp.one_one_complex)) (=> (not P5) (@ P tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a4406 (forall ((P (-> tptp.real Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n3304061248610475627l_real P5)) (and (=> P5 (@ P tptp.one_one_real)) (=> (not P5) (@ P tptp.zero_zero_real))))))
% 13.98/14.27 (assume a4407 (forall ((P (-> tptp.nat Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n2687167440665602831ol_nat P5)) (and (=> P5 (@ P tptp.one_one_nat)) (=> (not P5) (@ P tptp.zero_zero_nat))))))
% 13.98/14.27 (assume a4408 (forall ((P (-> tptp.int Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n2684676970156552555ol_int P5)) (and (=> P5 (@ P tptp.one_one_int)) (=> (not P5) (@ P tptp.zero_zero_int))))))
% 13.98/14.27 (assume a4409 (forall ((P (-> tptp.code_integer Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n356916108424825756nteger P5)) (and (=> P5 (@ P tptp.one_one_Code_integer)) (=> (not P5) (@ P tptp.zero_z3403309356797280102nteger))))))
% 13.98/14.27 (assume a4410 (forall ((P (-> tptp.extended_enat Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n1046097342994218471d_enat P5)) (not (or (and P5 (not (@ P tptp.one_on7984719198319812577d_enat))) (and (not P5) (not (@ P tptp.zero_z5237406670263579293d_enat))))))))
% 13.98/14.27 (assume a4411 (forall ((P (-> tptp.complex Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n1201886186963655149omplex P5)) (not (or (and P5 (not (@ P tptp.one_one_complex))) (and (not P5) (not (@ P tptp.zero_zero_complex))))))))
% 13.98/14.27 (assume a4412 (forall ((P (-> tptp.real Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n3304061248610475627l_real P5)) (not (or (and P5 (not (@ P tptp.one_one_real))) (and (not P5) (not (@ P tptp.zero_zero_real))))))))
% 13.98/14.27 (assume a4413 (forall ((P (-> tptp.nat Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n2687167440665602831ol_nat P5)) (not (or (and P5 (not (@ P tptp.one_one_nat))) (and (not P5) (not (@ P tptp.zero_zero_nat))))))))
% 13.98/14.27 (assume a4414 (forall ((P (-> tptp.int Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n2684676970156552555ol_int P5)) (not (or (and P5 (not (@ P tptp.one_one_int))) (and (not P5) (not (@ P tptp.zero_zero_int))))))))
% 13.98/14.27 (assume a4415 (forall ((P (-> tptp.code_integer Bool)) (P5 Bool)) (= (@ P (@ tptp.zero_n356916108424825756nteger P5)) (not (or (and P5 (not (@ P tptp.one_one_Code_integer))) (and (not P5) (not (@ P tptp.zero_z3403309356797280102nteger))))))))
% 13.98/14.27 (assume a4416 (forall ((Xs2 tptp.list_real) (N2 tptp.nat) (X tptp.real)) (=> (= (@ tptp.size_size_list_real Xs2) N2) (=> (forall ((Y5 tptp.real)) (=> (@ (@ tptp.member_real Y5) (@ tptp.set_real2 Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replicate_real N2) X))))))
% 13.98/14.27 (assume a4417 (forall ((Xs2 tptp.list_complex) (N2 tptp.nat) (X tptp.complex)) (=> (= (@ tptp.size_s3451745648224563538omplex Xs2) N2) (=> (forall ((Y5 tptp.complex)) (=> (@ (@ tptp.member_complex Y5) (@ tptp.set_complex2 Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replicate_complex N2) X))))))
% 13.98/14.27 (assume a4418 (forall ((Xs2 tptp.list_P6011104703257516679at_nat) (N2 tptp.nat) (X tptp.product_prod_nat_nat)) (=> (= (@ tptp.size_s5460976970255530739at_nat Xs2) N2) (=> (forall ((Y5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) (@ tptp.set_Pr5648618587558075414at_nat Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replic4235873036481779905at_nat N2) X))))))
% 13.98/14.27 (assume a4419 (forall ((Xs2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (X tptp.vEBT_VEBT)) (=> (= (@ tptp.size_s6755466524823107622T_VEBT Xs2) N2) (=> (forall ((Y5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT Y5) (@ tptp.set_VEBT_VEBT2 Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replicate_VEBT_VEBT N2) X))))))
% 13.98/14.27 (assume a4420 (forall ((Xs2 tptp.list_o) (N2 tptp.nat) (X Bool)) (=> (= (@ tptp.size_size_list_o Xs2) N2) (=> (forall ((Y5 Bool)) (=> (@ (@ tptp.member_o Y5) (@ tptp.set_o2 Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replicate_o N2) X))))))
% 13.98/14.27 (assume a4421 (forall ((Xs2 tptp.list_nat) (N2 tptp.nat) (X tptp.nat)) (=> (= (@ tptp.size_size_list_nat Xs2) N2) (=> (forall ((Y5 tptp.nat)) (=> (@ (@ tptp.member_nat Y5) (@ tptp.set_nat2 Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replicate_nat N2) X))))))
% 13.98/14.27 (assume a4422 (forall ((Xs2 tptp.list_int) (N2 tptp.nat) (X tptp.int)) (=> (= (@ tptp.size_size_list_int Xs2) N2) (=> (forall ((Y5 tptp.int)) (=> (@ (@ tptp.member_int Y5) (@ tptp.set_int2 Xs2)) (= Y5 X))) (= Xs2 (@ (@ tptp.replicate_int N2) X))))))
% 13.98/14.27 (assume a4423 (forall ((Xs2 tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 Xs2)) (= X5 X))) (= (@ (@ tptp.replicate_VEBT_VEBT (@ tptp.size_s6755466524823107622T_VEBT Xs2)) X) Xs2))))
% 13.98/14.27 (assume a4424 (forall ((Xs2 tptp.list_o) (X Bool)) (=> (forall ((X5 Bool)) (=> (@ (@ tptp.member_o X5) (@ tptp.set_o2 Xs2)) (= X5 X))) (= (@ (@ tptp.replicate_o (@ tptp.size_size_list_o Xs2)) X) Xs2))))
% 13.98/14.27 (assume a4425 (forall ((Xs2 tptp.list_nat) (X tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) (@ tptp.set_nat2 Xs2)) (= X5 X))) (= (@ (@ tptp.replicate_nat (@ tptp.size_size_list_nat Xs2)) X) Xs2))))
% 13.98/14.27 (assume a4426 (forall ((Xs2 tptp.list_int) (X tptp.int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ tptp.set_int2 Xs2)) (= X5 X))) (= (@ (@ tptp.replicate_int (@ tptp.size_size_list_int Xs2)) X) Xs2))))
% 13.98/14.27 (assume a4427 (forall ((P (-> tptp.extended_enat Bool)) (P6 (-> tptp.extended_enat Bool)) (Q (-> tptp.extended_enat Bool)) (Q5 (-> tptp.extended_enat Bool))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4428 (forall ((P (-> tptp.real Bool)) (P6 (-> tptp.real Bool)) (Q (-> tptp.real Bool)) (Q5 (-> tptp.real Bool))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4429 (forall ((P (-> tptp.num Bool)) (P6 (-> tptp.num Bool)) (Q (-> tptp.num Bool)) (Q5 (-> tptp.num Bool))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4430 (forall ((P (-> tptp.nat Bool)) (P6 (-> tptp.nat Bool)) (Q (-> tptp.nat Bool)) (Q5 (-> tptp.nat Bool))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4431 (forall ((P (-> tptp.int Bool)) (P6 (-> tptp.int Bool)) (Q (-> tptp.int Bool)) (Q5 (-> tptp.int Bool))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4432 (forall ((P (-> tptp.extended_enat Bool)) (P6 (-> tptp.extended_enat Bool)) (Q (-> tptp.extended_enat Bool)) (Q5 (-> tptp.extended_enat Bool))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4433 (forall ((P (-> tptp.real Bool)) (P6 (-> tptp.real Bool)) (Q (-> tptp.real Bool)) (Q5 (-> tptp.real Bool))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4434 (forall ((P (-> tptp.num Bool)) (P6 (-> tptp.num Bool)) (Q (-> tptp.num Bool)) (Q5 (-> tptp.num Bool))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4435 (forall ((P (-> tptp.nat Bool)) (P6 (-> tptp.nat Bool)) (Q (-> tptp.nat Bool)) (Q5 (-> tptp.nat Bool))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4436 (forall ((P (-> tptp.int Bool)) (P6 (-> tptp.int Bool)) (Q (-> tptp.int Bool)) (Q5 (-> tptp.int Bool))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int Z3) X5) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int Z3) X5) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4437 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4438 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4439 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4440 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4441 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4442 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4443 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4444 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4445 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4446 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (not (= X3 T)))))))
% 13.98/14.27 (assume a4447 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (not (@ (@ tptp.ord_le72135733267957522d_enat X3) T)))))))
% 13.98/14.27 (assume a4448 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (not (@ (@ tptp.ord_less_real X3) T)))))))
% 13.98/14.27 (assume a4449 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (not (@ (@ tptp.ord_less_num X3) T)))))))
% 13.98/14.27 (assume a4450 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (not (@ (@ tptp.ord_less_nat X3) T)))))))
% 13.98/14.27 (assume a4451 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (not (@ (@ tptp.ord_less_int X3) T)))))))
% 13.98/14.27 (assume a4452 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (@ (@ tptp.ord_le72135733267957522d_enat T) X3))))))
% 13.98/14.27 (assume a4453 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (@ (@ tptp.ord_less_real T) X3))))))
% 13.98/14.27 (assume a4454 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (@ (@ tptp.ord_less_num T) X3))))))
% 13.98/14.27 (assume a4455 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (@ (@ tptp.ord_less_nat T) X3))))))
% 13.98/14.27 (assume a4456 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (@ (@ tptp.ord_less_int T) X3))))))
% 13.98/14.27 (assume a4457 (forall ((P (-> tptp.extended_enat Bool)) (P6 (-> tptp.extended_enat Bool)) (Q (-> tptp.extended_enat Bool)) (Q5 (-> tptp.extended_enat Bool))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4458 (forall ((P (-> tptp.real Bool)) (P6 (-> tptp.real Bool)) (Q (-> tptp.real Bool)) (Q5 (-> tptp.real Bool))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4459 (forall ((P (-> tptp.num Bool)) (P6 (-> tptp.num Bool)) (Q (-> tptp.num Bool)) (Q5 (-> tptp.num Bool))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4460 (forall ((P (-> tptp.nat Bool)) (P6 (-> tptp.nat Bool)) (Q (-> tptp.nat Bool)) (Q5 (-> tptp.nat Bool))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4461 (forall ((P (-> tptp.int Bool)) (P6 (-> tptp.int Bool)) (Q (-> tptp.int Bool)) (Q5 (-> tptp.int Bool))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (= (and (@ P X3) (@ Q X3)) (and (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4462 (forall ((P (-> tptp.extended_enat Bool)) (P6 (-> tptp.extended_enat Bool)) (Q (-> tptp.extended_enat Bool)) (Q5 (-> tptp.extended_enat Bool))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.extended_enat)) (forall ((X5 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4463 (forall ((P (-> tptp.real Bool)) (P6 (-> tptp.real Bool)) (Q (-> tptp.real Bool)) (Q5 (-> tptp.real Bool))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.real)) (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4464 (forall ((P (-> tptp.num Bool)) (P6 (-> tptp.num Bool)) (Q (-> tptp.num Bool)) (Q5 (-> tptp.num Bool))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.num)) (forall ((X5 tptp.num)) (=> (@ (@ tptp.ord_less_num X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4465 (forall ((P (-> tptp.nat Bool)) (P6 (-> tptp.nat Bool)) (Q (-> tptp.nat Bool)) (Q5 (-> tptp.nat Bool))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.nat)) (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4466 (forall ((P (-> tptp.int Bool)) (P6 (-> tptp.int Bool)) (Q (-> tptp.int Bool)) (Q5 (-> tptp.int Bool))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Z3) (= (@ P X5) (@ P6 X5))))) (=> (exists ((Z3 tptp.int)) (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_int X5) Z3) (= (@ Q X5) (@ Q5 X5))))) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (= (or (@ P X3) (@ Q X3)) (or (@ P6 X3) (@ Q5 X3))))))))))
% 13.98/14.27 (assume a4467 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4468 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4469 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4470 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4471 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4472 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4473 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4474 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4475 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4476 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (not (= X3 T)))))))
% 13.98/14.27 (assume a4477 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (@ (@ tptp.ord_le72135733267957522d_enat X3) T))))))
% 13.98/14.27 (assume a4478 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (@ (@ tptp.ord_less_real X3) T))))))
% 13.98/14.27 (assume a4479 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (@ (@ tptp.ord_less_num X3) T))))))
% 13.98/14.27 (assume a4480 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (@ (@ tptp.ord_less_nat X3) T))))))
% 13.98/14.27 (assume a4481 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (@ (@ tptp.ord_less_int X3) T))))))
% 13.98/14.27 (assume a4482 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (not (@ (@ tptp.ord_le72135733267957522d_enat T) X3)))))))
% 13.98/14.27 (assume a4483 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (not (@ (@ tptp.ord_less_real T) X3)))))))
% 13.98/14.27 (assume a4484 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (not (@ (@ tptp.ord_less_num T) X3)))))))
% 13.98/14.27 (assume a4485 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (not (@ (@ tptp.ord_less_nat T) X3)))))))
% 13.98/14.27 (assume a4486 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (not (@ (@ tptp.ord_less_int T) X3)))))))
% 13.98/14.27 (assume a4487 (forall ((A tptp.nat)) (= (@ tptp.zero_n2687167440665602831ol_nat (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4488 (forall ((A tptp.int)) (= (@ tptp.zero_n2684676970156552555ol_int (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4489 (forall ((A tptp.code_integer)) (= (@ tptp.zero_n356916108424825756nteger (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))) (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4490 (forall ((P (-> tptp.nat Bool)) (A tptp.nat)) (=> (forall ((A3 tptp.nat)) (=> (= (@ (@ tptp.divide_divide_nat A3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A3) (@ P A3))) (=> (forall ((A3 tptp.nat) (B3 Bool)) (=> (@ P A3) (=> (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat (@ tptp.zero_n2687167440665602831ol_nat B3)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A3))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A3) (@ P (@ (@ tptp.plus_plus_nat (@ tptp.zero_n2687167440665602831ol_nat B3)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A3)))))) (@ P A)))))
% 13.98/14.27 (assume a4491 (forall ((P (-> tptp.int Bool)) (A tptp.int)) (=> (forall ((A3 tptp.int)) (=> (= (@ (@ tptp.divide_divide_int A3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A3) (@ P A3))) (=> (forall ((A3 tptp.int) (B3 Bool)) (=> (@ P A3) (=> (= (@ (@ tptp.divide_divide_int (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int B3)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A3))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A3) (@ P (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int B3)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A3)))))) (@ P A)))))
% 13.98/14.27 (assume a4492 (forall ((P (-> tptp.code_integer Bool)) (A tptp.code_integer)) (=> (forall ((A3 tptp.code_integer)) (=> (= (@ (@ tptp.divide6298287555418463151nteger A3) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A3) (@ P A3))) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (=> (@ P A3) (=> (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.zero_n356916108424825756nteger B3)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A3))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A3) (@ P (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.zero_n356916108424825756nteger B3)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A3)))))) (@ P A)))))
% 13.98/14.27 (assume a4493 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (not (@ (@ tptp.ord_le2932123472753598470d_enat X3) T)))))))
% 13.98/14.27 (assume a4494 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (not (@ (@ tptp.ord_less_eq_real X3) T)))))))
% 13.98/14.27 (assume a4495 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (not (@ (@ tptp.ord_less_eq_num X3) T)))))))
% 13.98/14.27 (assume a4496 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (not (@ (@ tptp.ord_less_eq_nat X3) T)))))))
% 13.98/14.27 (assume a4497 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (not (@ (@ tptp.ord_less_eq_int X3) T)))))))
% 13.98/14.27 (assume a4498 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (@ (@ tptp.ord_le2932123472753598470d_enat T) X3))))))
% 13.98/14.27 (assume a4499 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (@ (@ tptp.ord_less_eq_real T) X3))))))
% 13.98/14.27 (assume a4500 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num Z4) X3) (@ (@ tptp.ord_less_eq_num T) X3))))))
% 13.98/14.27 (assume a4501 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (@ (@ tptp.ord_less_eq_nat T) X3))))))
% 13.98/14.27 (assume a4502 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (@ (@ tptp.ord_less_eq_int T) X3))))))
% 13.98/14.27 (assume a4503 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (@ (@ tptp.ord_le2932123472753598470d_enat X3) T))))))
% 13.98/14.27 (assume a4504 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (@ (@ tptp.ord_less_eq_real X3) T))))))
% 13.98/14.27 (assume a4505 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (@ (@ tptp.ord_less_eq_num X3) T))))))
% 13.98/14.27 (assume a4506 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (@ (@ tptp.ord_less_eq_nat X3) T))))))
% 13.98/14.27 (assume a4507 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (@ (@ tptp.ord_less_eq_int X3) T))))))
% 13.98/14.27 (assume a4508 (forall ((T tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (not (@ (@ tptp.ord_le2932123472753598470d_enat T) X3)))))))
% 13.98/14.27 (assume a4509 (forall ((T tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (not (@ (@ tptp.ord_less_eq_real T) X3)))))))
% 13.98/14.27 (assume a4510 (forall ((T tptp.num)) (exists ((Z4 tptp.num)) (forall ((X3 tptp.num)) (=> (@ (@ tptp.ord_less_num X3) Z4) (not (@ (@ tptp.ord_less_eq_num T) X3)))))))
% 13.98/14.27 (assume a4511 (forall ((T tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (not (@ (@ tptp.ord_less_eq_nat T) X3)))))))
% 13.98/14.27 (assume a4512 (forall ((T tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (not (@ (@ tptp.ord_less_eq_int T) X3)))))))
% 13.98/14.27 (assume a4513 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_nat (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.ord_less_nat M) N2))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))))
% 13.98/14.27 (assume a4514 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.ord_less_nat M) N2))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)))))
% 13.98/14.27 (assume a4515 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo364778990260209775nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.ord_less_nat M) N2))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M)))))
% 13.98/14.27 (assume a4516 (forall ((P (-> tptp.complex Bool)) (D4 tptp.complex) (Q (-> tptp.complex Bool))) (=> (forall ((X5 tptp.complex) (K2 tptp.complex)) (= (@ P X5) (@ P (@ (@ tptp.minus_minus_complex X5) (@ (@ tptp.times_times_complex K2) D4))))) (=> (forall ((X5 tptp.complex) (K2 tptp.complex)) (= (@ Q X5) (@ Q (@ (@ tptp.minus_minus_complex X5) (@ (@ tptp.times_times_complex K2) D4))))) (forall ((X3 tptp.complex) (K4 tptp.complex)) (= (and (@ P X3) (@ Q X3)) (and (@ P (@ (@ tptp.minus_minus_complex X3) (@ (@ tptp.times_times_complex K4) D4))) (@ Q (@ (@ tptp.minus_minus_complex X3) (@ (@ tptp.times_times_complex K4) D4))))))))))
% 13.98/14.27 (assume a4517 (forall ((P (-> tptp.real Bool)) (D4 tptp.real) (Q (-> tptp.real Bool))) (=> (forall ((X5 tptp.real) (K2 tptp.real)) (= (@ P X5) (@ P (@ (@ tptp.minus_minus_real X5) (@ (@ tptp.times_times_real K2) D4))))) (=> (forall ((X5 tptp.real) (K2 tptp.real)) (= (@ Q X5) (@ Q (@ (@ tptp.minus_minus_real X5) (@ (@ tptp.times_times_real K2) D4))))) (forall ((X3 tptp.real) (K4 tptp.real)) (= (and (@ P X3) (@ Q X3)) (and (@ P (@ (@ tptp.minus_minus_real X3) (@ (@ tptp.times_times_real K4) D4))) (@ Q (@ (@ tptp.minus_minus_real X3) (@ (@ tptp.times_times_real K4) D4))))))))))
% 13.98/14.27 (assume a4518 (forall ((P (-> tptp.int Bool)) (D4 tptp.int) (Q (-> tptp.int Bool))) (=> (forall ((X5 tptp.int) (K2 tptp.int)) (= (@ P X5) (@ P (@ (@ tptp.minus_minus_int X5) (@ (@ tptp.times_times_int K2) D4))))) (=> (forall ((X5 tptp.int) (K2 tptp.int)) (= (@ Q X5) (@ Q (@ (@ tptp.minus_minus_int X5) (@ (@ tptp.times_times_int K2) D4))))) (forall ((X3 tptp.int) (K4 tptp.int)) (= (and (@ P X3) (@ Q X3)) (and (@ P (@ (@ tptp.minus_minus_int X3) (@ (@ tptp.times_times_int K4) D4))) (@ Q (@ (@ tptp.minus_minus_int X3) (@ (@ tptp.times_times_int K4) D4))))))))))
% 13.98/14.27 (assume a4519 (forall ((P (-> tptp.complex Bool)) (D4 tptp.complex) (Q (-> tptp.complex Bool))) (=> (forall ((X5 tptp.complex) (K2 tptp.complex)) (= (@ P X5) (@ P (@ (@ tptp.minus_minus_complex X5) (@ (@ tptp.times_times_complex K2) D4))))) (=> (forall ((X5 tptp.complex) (K2 tptp.complex)) (= (@ Q X5) (@ Q (@ (@ tptp.minus_minus_complex X5) (@ (@ tptp.times_times_complex K2) D4))))) (forall ((X3 tptp.complex) (K4 tptp.complex)) (= (or (@ P X3) (@ Q X3)) (or (@ P (@ (@ tptp.minus_minus_complex X3) (@ (@ tptp.times_times_complex K4) D4))) (@ Q (@ (@ tptp.minus_minus_complex X3) (@ (@ tptp.times_times_complex K4) D4))))))))))
% 13.98/14.27 (assume a4520 (forall ((P (-> tptp.real Bool)) (D4 tptp.real) (Q (-> tptp.real Bool))) (=> (forall ((X5 tptp.real) (K2 tptp.real)) (= (@ P X5) (@ P (@ (@ tptp.minus_minus_real X5) (@ (@ tptp.times_times_real K2) D4))))) (=> (forall ((X5 tptp.real) (K2 tptp.real)) (= (@ Q X5) (@ Q (@ (@ tptp.minus_minus_real X5) (@ (@ tptp.times_times_real K2) D4))))) (forall ((X3 tptp.real) (K4 tptp.real)) (= (or (@ P X3) (@ Q X3)) (or (@ P (@ (@ tptp.minus_minus_real X3) (@ (@ tptp.times_times_real K4) D4))) (@ Q (@ (@ tptp.minus_minus_real X3) (@ (@ tptp.times_times_real K4) D4))))))))))
% 13.98/14.27 (assume a4521 (forall ((P (-> tptp.int Bool)) (D4 tptp.int) (Q (-> tptp.int Bool))) (=> (forall ((X5 tptp.int) (K2 tptp.int)) (= (@ P X5) (@ P (@ (@ tptp.minus_minus_int X5) (@ (@ tptp.times_times_int K2) D4))))) (=> (forall ((X5 tptp.int) (K2 tptp.int)) (= (@ Q X5) (@ Q (@ (@ tptp.minus_minus_int X5) (@ (@ tptp.times_times_int K2) D4))))) (forall ((X3 tptp.int) (K4 tptp.int)) (= (or (@ P X3) (@ Q X3)) (or (@ P (@ (@ tptp.minus_minus_int X3) (@ (@ tptp.times_times_int K4) D4))) (@ Q (@ (@ tptp.minus_minus_int X3) (@ (@ tptp.times_times_int K4) D4))))))))))
% 13.98/14.27 (assume a4522 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_nat (@ tptp.zero_n2687167440665602831ol_nat (and (not (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M) tptp.zero_zero_nat)) (@ (@ tptp.ord_less_eq_nat N2) M)))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.27 (assume a4523 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int (and (not (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) M) tptp.zero_zero_int)) (@ (@ tptp.ord_less_eq_nat N2) M)))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.27 (assume a4524 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.zero_n356916108424825756nteger (and (not (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) M) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.ord_less_eq_nat N2) M)))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat M) N2))))))
% 13.98/14.27 (assume a4525 (forall ((Va tptp.nat)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc Va))) (= (@ tptp.vEBT_vebt_buildup (@ tptp.suc (@ tptp.suc Va))) (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va))) (@ (@ tptp.replicate_VEBT_VEBT (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc Va)))) (= (@ tptp.vEBT_vebt_buildup (@ tptp.suc (@ tptp.suc Va))) (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va))) (@ (@ tptp.replicate_VEBT_VEBT (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))
% 13.98/14.27 (assume a4526 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z4 tptp.code_integer)) (forall ((X3 tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger Z4) X3) (= (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3)) (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3))))))))
% 13.98/14.27 (assume a4527 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (= (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3)) (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3))))))))
% 13.98/14.27 (assume a4528 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (= (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3)) (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3))))))))
% 13.98/14.27 (assume a4529 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (= (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3)) (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3))))))))
% 13.98/14.27 (assume a4530 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (= (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3)) (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3))))))))
% 13.98/14.27 (assume a4531 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z4 tptp.code_integer)) (forall ((X3 tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger Z4) X3) (= (not (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3))) (not (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3)))))))))
% 13.98/14.27 (assume a4532 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat Z4) X3) (= (not (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3))) (not (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3)))))))))
% 13.98/14.27 (assume a4533 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real Z4) X3) (= (not (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3))) (not (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3)))))))))
% 13.98/14.27 (assume a4534 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat Z4) X3) (= (not (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3))) (not (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3)))))))))
% 13.98/14.27 (assume a4535 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int Z4) X3) (= (not (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3))) (not (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3)))))))))
% 13.98/14.27 (assume a4536 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z4 tptp.code_integer)) (forall ((X3 tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger X3) Z4) (= (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3)) (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3))))))))
% 13.98/14.27 (assume a4537 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (= (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3)) (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3))))))))
% 13.98/14.27 (assume a4538 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (= (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3)) (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3))))))))
% 13.98/14.27 (assume a4539 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (= (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3)) (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3))))))))
% 13.98/14.27 (assume a4540 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (= (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3)) (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3))))))))
% 13.98/14.27 (assume a4541 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z4 tptp.code_integer)) (forall ((X3 tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger X3) Z4) (= (not (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3))) (not (@ (@ tptp.dvd_dvd_Code_integer D) (@ (@ tptp.plus_p5714425477246183910nteger X3) S3)))))))))
% 13.98/14.27 (assume a4542 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z4 tptp.extended_enat)) (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat X3) Z4) (= (not (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3))) (not (@ (@ tptp.dvd_dv3785147216227455552d_enat D) (@ (@ tptp.plus_p3455044024723400733d_enat X3) S3)))))))))
% 13.98/14.27 (assume a4543 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z4 tptp.real)) (forall ((X3 tptp.real)) (=> (@ (@ tptp.ord_less_real X3) Z4) (= (not (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3))) (not (@ (@ tptp.dvd_dvd_real D) (@ (@ tptp.plus_plus_real X3) S3)))))))))
% 13.98/14.27 (assume a4544 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X3) Z4) (= (not (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3))) (not (@ (@ tptp.dvd_dvd_nat D) (@ (@ tptp.plus_plus_nat X3) S3)))))))))
% 13.98/14.27 (assume a4545 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z4 tptp.int)) (forall ((X3 tptp.int)) (=> (@ (@ tptp.ord_less_int X3) Z4) (= (not (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3))) (not (@ (@ tptp.dvd_dvd_int D) (@ (@ tptp.plus_plus_int X3) S3)))))))))
% 13.98/14.27 (assume a4546 (forall ((X tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (@ tptp.vEBT_vebt_buildup X) Y) (=> (@ (@ tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) X) (=> (=> (= X tptp.zero_zero_nat) (=> (= Y (@ (@ tptp.vEBT_Leaf false) false)) (not (@ (@ tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) tptp.zero_zero_nat)))) (=> (=> (= X (@ tptp.suc tptp.zero_zero_nat)) (=> (= Y (@ (@ tptp.vEBT_Leaf false) false)) (not (@ (@ tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (@ tptp.suc tptp.zero_zero_nat))))) (not (forall ((Va2 tptp.nat)) (=> (= X (@ tptp.suc (@ tptp.suc Va2))) (=> (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc Va2))) (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ tptp.replicate_VEBT_VEBT (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc Va2)))) (= Y (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) (@ tptp.suc (@ tptp.suc Va2))) (@ (@ tptp.replicate_VEBT_VEBT (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.vEBT_vebt_buildup (@ tptp.suc (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc Va2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))) (not (@ (@ tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (@ tptp.suc (@ tptp.suc Va2))))))))))))))
% 13.98/14.27 (assume a4547 (forall ((X (-> tptp.product_prod_nat_nat tptp.nat)) (X22 tptp.product_prod_nat_nat)) (= (@ (@ tptp.size_o8335143837870341156at_nat X) (@ tptp.some_P7363390416028606310at_nat X22)) (@ (@ tptp.plus_plus_nat (@ X X22)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4548 (forall ((X (-> tptp.nat tptp.nat)) (X22 tptp.nat)) (= (@ (@ tptp.size_option_nat X) (@ tptp.some_nat X22)) (@ (@ tptp.plus_plus_nat (@ X X22)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4549 (forall ((X (-> tptp.num tptp.nat)) (X22 tptp.num)) (= (@ (@ tptp.size_option_num X) (@ tptp.some_num X22)) (@ (@ tptp.plus_plus_nat (@ X X22)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4550 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.bit_ri6519982836138164636nteger (@ tptp.suc N2)) A) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_ri6519982836138164636nteger N2) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a4551 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.27 (assume a4552 (forall ((X tptp.nat)) (= (@ (@ tptp.member_nat tptp.zero_zero_nat) (@ tptp.nat_set_decode X)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) X)))))
% 13.98/14.27 (assume a4553 (forall ((N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.member_nat (@ tptp.suc N2)) (@ tptp.nat_set_decode X)) (@ (@ tptp.member_nat N2) (@ tptp.nat_set_decode (@ (@ tptp.divide_divide_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4554 (forall ((X tptp.set_int) (Y tptp.set_int)) (= (= (@ (@ tptp.minus_minus_set_int X) Y) tptp.bot_bot_set_int) (@ (@ tptp.ord_less_eq_set_int X) Y))))
% 13.98/14.27 (assume a4555 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (= (@ (@ tptp.minus_minus_set_real X) Y) tptp.bot_bot_set_real) (@ (@ tptp.ord_less_eq_set_real X) Y))))
% 13.98/14.27 (assume a4556 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (= (@ (@ tptp.minus_minus_set_nat X) Y) tptp.bot_bot_set_nat) (@ (@ tptp.ord_less_eq_set_nat X) Y))))
% 13.98/14.27 (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.plus_plus_complex A) (@ (@ tptp.times_times_complex R) C)) (@ (@ tptp.plus_plus_complex B) (@ (@ tptp.times_times_complex R) D))))))))
% 13.98/14.27 (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.plus_plus_real A) (@ (@ tptp.times_times_real R) C)) (@ (@ tptp.plus_plus_real B) (@ (@ tptp.times_times_real R) D))))))))
% 13.98/14.27 (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.plus_plus_nat A) (@ (@ tptp.times_times_nat R) C)) (@ (@ tptp.plus_plus_nat B) (@ (@ tptp.times_times_nat R) D))))))))
% 13.98/14.27 (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.plus_plus_int A) (@ (@ tptp.times_times_int R) C)) (@ (@ tptp.plus_plus_int B) (@ (@ tptp.times_times_int R) D))))))))
% 13.98/14.27 (assume a4561 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4562 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.suc N2)) tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.27 (assume a4563 (forall ((K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.numeral_numeral_nat K)) tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.27 (assume a4564 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.suc N2)) (@ tptp.numeral_numeral_int (@ tptp.bit0 K))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4565 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.bit_ri631733984087533419it_int N2) L2))) (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.times_times_int K) L2)))))
% 13.98/14.27 (assume a4566 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.plus_plus_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.bit_ri631733984087533419it_int N2) L2))) (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.plus_plus_int K) L2)))))
% 13.98/14.27 (assume a4567 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.minus_minus_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.bit_ri631733984087533419it_int N2) L2))) (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.minus_minus_int K) L2)))))
% 13.98/14.27 (assume a4568 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ tptp.nat_set_decode M)) (@ tptp.nat_set_decode N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.27 (assume a4569 (forall ((N2 tptp.nat) (K tptp.int)) (@ (@ tptp.ord_less_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.27 (assume a4570 (forall ((M tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_ri6519982836138164636nteger M) A)) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a4571 (forall ((M tptp.nat) (A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_ri631733984087533419it_int M) A)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a4572 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int K) (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.ord_less_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4573 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) K) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) K))))
% 13.98/14.27 (assume a4574 (forall ((B tptp.complex) (A tptp.complex)) (= (= B (@ (@ tptp.plus_plus_complex B) A)) (= A tptp.zero_zero_complex))))
% 13.98/14.27 (assume a4575 (forall ((B tptp.real) (A tptp.real)) (= (= B (@ (@ tptp.plus_plus_real B) A)) (= A tptp.zero_zero_real))))
% 13.98/14.27 (assume a4576 (forall ((B tptp.nat) (A tptp.nat)) (= (= B (@ (@ tptp.plus_plus_nat B) A)) (= A tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4577 (forall ((B tptp.int) (A tptp.int)) (= (= B (@ (@ tptp.plus_plus_int B) A)) (= A tptp.zero_zero_int))))
% 13.98/14.27 (assume a4578 (forall ((W tptp.complex) (Y tptp.complex) (X tptp.complex) (Z tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex W) Y)) (@ (@ tptp.times_times_complex X) Z)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex W) Z)) (@ (@ tptp.times_times_complex X) Y))) (or (= W X) (= Y Z)))))
% 13.98/14.27 (assume a4579 (forall ((W tptp.real) (Y tptp.real) (X tptp.real) (Z tptp.real)) (= (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real W) Y)) (@ (@ tptp.times_times_real X) Z)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real W) Z)) (@ (@ tptp.times_times_real X) Y))) (or (= W X) (= Y Z)))))
% 13.98/14.27 (assume a4580 (forall ((W tptp.nat) (Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (= (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat W) Y)) (@ (@ tptp.times_times_nat X) Z)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat W) Z)) (@ (@ tptp.times_times_nat X) Y))) (or (= W X) (= Y Z)))))
% 13.98/14.27 (assume a4581 (forall ((W tptp.int) (Y tptp.int) (X tptp.int) (Z tptp.int)) (= (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int W) Y)) (@ (@ tptp.times_times_int X) Z)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int W) Z)) (@ (@ tptp.times_times_int X) Y))) (or (= W X) (= Y Z)))))
% 13.98/14.27 (assume a4582 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (= (and (not (= A B)) (not (= C D))) (not (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) C)) (@ (@ tptp.times_times_complex B) D)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex A) D)) (@ (@ tptp.times_times_complex B) C)))))))
% 13.98/14.27 (assume a4583 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (and (not (= A B)) (not (= C D))) (not (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) D)) (@ (@ tptp.times_times_real B) C)))))))
% 13.98/14.27 (assume a4584 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (and (not (= A B)) (not (= C D))) (not (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) C)) (@ (@ tptp.times_times_nat B) D)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat A) D)) (@ (@ tptp.times_times_nat B) C)))))))
% 13.98/14.27 (assume a4585 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (and (not (= A B)) (not (= C D))) (not (= (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) C)) (@ (@ tptp.times_times_int B) D)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A) D)) (@ (@ tptp.times_times_int B) C)))))))
% 13.98/14.27 (assume a4586 (forall ((N2 tptp.nat) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) K) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.minus_minus_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.suc N2)))))))
% 13.98/14.27 (assume a4587 (forall ((X (-> tptp.product_prod_nat_nat tptp.nat))) (= (@ (@ tptp.size_o8335143837870341156at_nat X) tptp.none_P5556105721700978146at_nat) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4588 (forall ((X (-> tptp.nat tptp.nat))) (= (@ (@ tptp.size_option_nat X) tptp.none_nat) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4589 (forall ((X (-> tptp.num tptp.nat))) (= (@ (@ tptp.size_option_num X) tptp.none_num) (@ tptp.suc tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4590 (= tptp.nat_set_decode (lambda ((X2 tptp.nat)) (@ tptp.collect_nat (lambda ((N tptp.nat)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))))))
% 13.98/14.27 (assume a4591 (= tptp.bit_ri6519982836138164636nteger (lambda ((N tptp.nat) (A4 tptp.code_integer)) (@ (@ (@ tptp.if_Code_integer (= N tptp.zero_zero_nat)) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.modulo364778990260209775nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.modulo364778990260209775nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_ri6519982836138164636nteger (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ (@ tptp.divide6298287555418463151nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.27 (assume a4592 (= tptp.bit_ri631733984087533419it_int (lambda ((N tptp.nat) (A4 tptp.int)) (@ (@ (@ tptp.if_int (= N tptp.zero_zero_nat)) (@ tptp.uminus_uminus_int (@ (@ tptp.modulo_modulo_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) (@ (@ tptp.plus_plus_int (@ (@ tptp.modulo_modulo_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_ri631733984087533419it_int (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ (@ tptp.divide_divide_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.27 (assume a4593 (= tptp.artanh_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X2)) (@ (@ tptp.minus_minus_real tptp.one_one_real) X2)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4594 (= tptp.unique5026877609467782581ep_nat (lambda ((L tptp.num) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q4 tptp.nat) (R4 tptp.nat)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat L)) R4)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q4)) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat R4) (@ tptp.numeral_numeral_nat L)))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q4)) R4)))) __flatten_var_0))))
% 13.98/14.27 (assume a4595 (= tptp.unique5024387138958732305ep_int (lambda ((L tptp.num) (__flatten_var_0 tptp.product_prod_int_int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Q4 tptp.int) (R4 tptp.int)) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int L)) R4)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q4)) tptp.one_one_int)) (@ (@ tptp.minus_minus_int R4) (@ tptp.numeral_numeral_int L)))) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q4)) R4)))) __flatten_var_0))))
% 13.98/14.27 (assume a4596 (= tptp.unique4921790084139445826nteger (lambda ((L tptp.num) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ tptp.produc6916734918728496179nteger (lambda ((Q4 tptp.code_integer) (R4 tptp.code_integer)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger L)) R4)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q4)) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger R4) (@ tptp.numera6620942414471956472nteger L)))) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q4)) R4)))) __flatten_var_0))))
% 13.98/14.27 (assume a4597 (forall ((A2 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.nat_set_encode A2)) (not (@ (@ tptp.member_nat tptp.zero_zero_nat) A2))))))
% 13.98/14.27 (assume a4598 (= tptp.bit_se1745604003318907178nteger (lambda ((N tptp.nat) (A4 tptp.code_integer)) (@ (@ (@ tptp.if_Code_integer (= N tptp.zero_zero_nat)) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.bit_se1745604003318907178nteger (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ (@ tptp.divide6298287555418463151nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo364778990260209775nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4599 (= tptp.bit_se2923211474154528505it_int (lambda ((N tptp.nat) (A4 tptp.int)) (@ (@ (@ tptp.if_int (= N tptp.zero_zero_nat)) tptp.zero_zero_int) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ (@ tptp.divide_divide_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4600 (= tptp.bit_se2925701944663578781it_nat (lambda ((N tptp.nat) (A4 tptp.nat)) (@ (@ (@ tptp.if_nat (= N tptp.zero_zero_nat)) tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.bit_se2925701944663578781it_nat (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ (@ tptp.divide_divide_nat A4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_nat A4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.27 (assume a4601 (forall ((X22 tptp.num)) (= (@ tptp.size_num (@ tptp.bit0 X22)) (@ (@ tptp.plus_plus_nat (@ tptp.size_num X22)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.27 (assume a4602 (forall ((K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.power_8040749407984259932d_enat (@ tptp.numera1916890842035813515d_enat K)) (@ tptp.numeral_numeral_nat L2)) (@ tptp.numera1916890842035813515d_enat (@ (@ tptp.pow K) L2)))))
% 13.98/14.27 (assume a4603 (forall ((K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex K)) (@ tptp.numeral_numeral_nat L2)) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.pow K) L2)))))
% 13.98/14.27 (assume a4604 (forall ((K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real K)) (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_real (@ (@ tptp.pow K) L2)))))
% 13.98/14.27 (assume a4605 (forall ((K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_nat (@ (@ tptp.pow K) L2)))))
% 13.98/14.27 (assume a4606 (forall ((K tptp.num) (L2 tptp.num)) (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_int (@ (@ tptp.pow K) L2)))))
% 13.98/14.27 (assume a4607 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ (@ tptp.ord_less_eq_set_real (@ tptp.uminus612125837232591019t_real B2)) (@ tptp.uminus612125837232591019t_real A2)))))
% 13.98/14.27 (assume a4608 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.uminus5710092332889474511et_nat B2)) (@ tptp.uminus5710092332889474511et_nat A2)))))
% 13.98/14.27 (assume a4609 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.uminus612125837232591019t_real A2)) (@ tptp.uminus612125837232591019t_real B2)) (@ (@ tptp.ord_less_eq_set_real B2) A2))))
% 13.98/14.27 (assume a4610 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.uminus5710092332889474511et_nat A2)) (@ tptp.uminus5710092332889474511et_nat B2)) (@ (@ tptp.ord_less_eq_set_nat B2) A2))))
% 13.98/14.27 (assume a4611 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.27 (assume a4612 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger B)) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.ord_le3102999989581377725nteger A) B))))
% 13.98/14.27 (assume a4613 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.27 (assume a4614 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.uminus612125837232591019t_real X)) (@ tptp.uminus612125837232591019t_real Y)) (@ (@ tptp.ord_less_eq_set_real Y) X))))
% 13.98/14.27 (assume a4615 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.uminus5710092332889474511et_nat X)) (@ tptp.uminus5710092332889474511et_nat Y)) (@ (@ tptp.ord_less_eq_set_nat Y) X))))
% 13.98/14.27 (assume a4616 (forall ((B tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.ord_less_real A) B))))
% 13.98/14.27 (assume a4617 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.ord_less_int A) B))))
% 13.98/14.27 (assume a4618 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger B)) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.ord_le6747313008572928689nteger A) B))))
% 13.98/14.27 (assume a4619 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (= M N2))))
% 13.98/14.27 (assume a4620 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (= M N2))))
% 13.98/14.27 (assume a4621 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (= M N2))))
% 13.98/14.27 (assume a4622 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (= M N2))))
% 13.98/14.27 (assume a4623 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real A) B)))))
% 13.98/14.27 (assume a4624 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.times_times_int A) (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int (@ (@ tptp.times_times_int A) B)))))
% 13.98/14.27 (assume a4625 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.times_times_complex A) (@ tptp.uminus1482373934393186551omplex B)) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.times_times_complex A) B)))))
% 13.98/14.27 (assume a4626 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger A) (@ tptp.uminus1351360451143612070nteger B)) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.times_3573771949741848930nteger A) B)))))
% 13.98/14.27 (assume a4627 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real A)) (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) B))))
% 13.98/14.27 (assume a4628 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int A)) (@ tptp.uminus_uminus_int B)) (@ (@ tptp.times_times_int A) B))))
% 13.98/14.27 (assume a4629 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex A)) (@ tptp.uminus1482373934393186551omplex B)) (@ (@ tptp.times_times_complex A) B))))
% 13.98/14.27 (assume a4630 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger A)) (@ tptp.uminus1351360451143612070nteger B)) (@ (@ tptp.times_3573771949741848930nteger A) B))))
% 13.98/14.27 (assume a4631 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real A)) B) (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real A) B)))))
% 13.98/14.27 (assume a4632 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int A)) B) (@ tptp.uminus_uminus_int (@ (@ tptp.times_times_int A) B)))))
% 13.98/14.27 (assume a4633 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex A)) B) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.times_times_complex A) B)))))
% 13.98/14.27 (assume a4634 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.times_3573771949741848930nteger A) B)))))
% 13.98/14.27 (assume a4635 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.uminus_uminus_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) (@ tptp.uminus_uminus_real B)))))
% 13.98/14.27 (assume a4636 (forall ((A tptp.int) (B tptp.int)) (= (@ tptp.uminus_uminus_int (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int A)) (@ tptp.uminus_uminus_int B)))))
% 13.98/14.27 (assume a4637 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.plus_plus_complex A) B)) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) (@ tptp.uminus1482373934393186551omplex B)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a4639 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) (@ (@ tptp.plus_plus_real A) B)) B)))
% 13.98/14.27 (assume a4640 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int A)) (@ (@ tptp.plus_plus_int A) B)) B)))
% 13.98/14.27 (assume a4641 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) (@ (@ tptp.plus_plus_complex A) B)) B)))
% 13.98/14.27 (assume a4642 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.plus_p5714425477246183910nteger A) B)) B)))
% 13.98/14.27 (assume a4643 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.plus_plus_real A) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) B)) B)))
% 13.98/14.27 (assume a4644 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int A) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int A)) B)) B)))
% 13.98/14.27 (assume a4645 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) B)) B)))
% 13.98/14.27 (assume a4646 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger A) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger A)) B)) B)))
% 13.98/14.27 (assume a4647 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int A)) (@ tptp.uminus_uminus_int B)) (@ (@ tptp.divide_divide_int A) B))))
% 13.98/14.27 (assume a4648 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger (@ tptp.uminus1351360451143612070nteger A)) (@ tptp.uminus1351360451143612070nteger B)) (@ (@ tptp.divide6298287555418463151nteger A) B))))
% 13.98/14.27 (assume a4649 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_real (@ tptp.ln_ln_real X)) (@ tptp.ln_ln_real Y)) (@ (@ tptp.ord_less_real X) Y))))))
% 13.98/14.27 (assume a4650 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (= (@ tptp.ln_ln_real X) (@ tptp.ln_ln_real Y)) (= X Y))))))
% 13.98/14.27 (assume a4651 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int A)) (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int (@ (@ tptp.modulo_modulo_int A) B)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a4653 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4654 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a4655 (forall ((X tptp.real) (A tptp.real)) (= (= (@ (@ tptp.plus_plus_real X) (@ tptp.uminus_uminus_real A)) tptp.zero_zero_real) (= X A))))
% 13.98/14.27 (assume a4656 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ (@ tptp.bit_concat_bit N2) K) tptp.zero_zero_int) (@ (@ tptp.bit_se2923211474154528505it_int N2) K))))
% 13.98/14.27 (assume a4657 (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 13.98/14.27 (assume a4658 (forall ((F (-> tptp.nat tptp.nat tptp.nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc6842872674320459806at_nat F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 13.98/14.27 (assume a4659 (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc27273713700761075at_nat F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 13.98/14.27 (assume a4660 (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 13.98/14.27 (assume a4661 (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc4245557441103728435nt_int F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))))
% 13.98/14.27 (assume a4662 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 13.98/14.27 (assume a4663 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4664 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4665 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 13.98/14.27 (assume a4666 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A))))
% 13.98/14.27 (assume a4667 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))
% 13.98/14.27 (assume a4668 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 13.98/14.27 (assume a4669 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger A) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4670 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int A) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4671 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 13.98/14.27 (assume a4672 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) A) (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A))))
% 13.98/14.27 (assume a4673 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) A) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))
% 13.98/14.27 (assume a4674 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))
% 13.98/14.27 (assume a4675 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int A)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int tptp.zero_zero_int) A))))
% 13.98/14.27 (assume a4676 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A))))
% 13.98/14.27 (assume a4677 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 13.98/14.27 (assume a4678 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4679 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4680 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real A)) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))
% 13.98/14.27 (assume a4681 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int A)) A) (@ (@ tptp.ord_less_int tptp.zero_zero_int) A))))
% 13.98/14.27 (assume a4682 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger A)) A) (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A))))
% 13.98/14.27 (assume a4683 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 13.98/14.27 (assume a4684 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int A) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.ord_less_int A) tptp.zero_zero_int))))
% 13.98/14.27 (assume a4685 (forall ((A tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger A) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a4686 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real A) (@ tptp.uminus_uminus_real A)) tptp.zero_zero_real)))
% 13.98/14.27 (assume a4687 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int A) (@ tptp.uminus_uminus_int A)) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4688 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex A) (@ tptp.uminus1482373934393186551omplex A)) tptp.zero_zero_complex)))
% 13.98/14.27 (assume a4689 (forall ((A tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger A) (@ tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a4690 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) A) tptp.zero_zero_real)))
% 13.98/14.27 (assume a4691 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int A)) A) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4692 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 13.98/14.27 (assume a4693 (forall ((A tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger A)) A) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a4694 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.uminus_uminus_real (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a4695 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.uminus_uminus_int (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a4696 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M))) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.numera6690914467698888265omplex N2))))))
% 13.98/14.27 (assume a4697 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a4698 (forall ((Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Z) (@ tptp.uminus_uminus_real Z))))
% 13.98/14.27 (assume a4699 (forall ((Z tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int tptp.one_one_int)) Z) (@ tptp.uminus_uminus_int Z))))
% 13.98/14.27 (assume a4700 (forall ((Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) Z) (@ tptp.uminus1482373934393186551omplex Z))))
% 13.98/14.27 (assume a4701 (forall ((Z tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) Z) (@ tptp.uminus1351360451143612070nteger Z))))
% 13.98/14.27 (assume a4702 (forall ((Z tptp.real)) (= (@ (@ tptp.times_times_real Z) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real Z))))
% 13.98/14.27 (assume a4703 (forall ((Z tptp.int)) (= (@ (@ tptp.times_times_int Z) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int Z))))
% 13.98/14.27 (assume a4704 (forall ((Z tptp.complex)) (= (@ (@ tptp.times_times_complex Z) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex Z))))
% 13.98/14.27 (assume a4705 (forall ((Z tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger Z) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger Z))))
% 13.98/14.27 (assume a4706 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real A) (@ tptp.uminus_uminus_real B)) (@ (@ tptp.plus_plus_real A) B))))
% 13.98/14.27 (assume a4707 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int A) (@ tptp.uminus_uminus_int B)) (@ (@ tptp.plus_plus_int A) B))))
% 13.98/14.27 (assume a4708 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex A) (@ tptp.uminus1482373934393186551omplex B)) (@ (@ tptp.plus_plus_complex A) B))))
% 13.98/14.27 (assume a4709 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger A) (@ tptp.uminus1351360451143612070nteger B)) (@ (@ tptp.plus_p5714425477246183910nteger A) B))))
% 13.98/14.27 (assume a4710 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) B) (@ (@ tptp.minus_minus_real B) A))))
% 13.98/14.27 (assume a4711 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int A)) B) (@ (@ tptp.minus_minus_int B) A))))
% 13.98/14.27 (assume a4712 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) B) (@ (@ tptp.minus_minus_complex B) A))))
% 13.98/14.27 (assume a4713 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ (@ tptp.minus_8373710615458151222nteger B) A))))
% 13.98/14.27 (assume a4714 (forall ((A tptp.int)) (= (@ (@ tptp.divide_divide_int A) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int A))))
% 13.98/14.27 (assume a4715 (forall ((A tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger A))))
% 13.98/14.27 (assume a4716 (forall ((X tptp.real)) (= (@ (@ tptp.divide_divide_real X) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real X))))
% 13.98/14.27 (assume a4717 (forall ((X tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex X) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex X))))
% 13.98/14.27 (assume a4718 (forall ((B tptp.int) (A tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.minus_minus_int B) A)) B) (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int A)) B))))
% 13.98/14.27 (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))))
% 13.98/14.27 (assume a4720 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real X)) (@ tptp.ln_ln_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))))
% 13.98/14.27 (assume a4721 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int tptp.zero_zero_nat) A) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4722 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 13.98/14.27 (assume a4723 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real (@ tptp.ln_ln_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.one_one_real)))))
% 13.98/14.27 (assume a4724 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.ln_ln_real X)) (@ (@ tptp.ord_less_real tptp.one_one_real) X)))))
% 13.98/14.27 (assume a4725 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (= (@ tptp.ln_ln_real X) tptp.zero_zero_real) (= X tptp.one_one_real)))))
% 13.98/14.27 (assume a4726 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.27 (assume a4727 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.suc N2)) tptp.one_one_nat) tptp.one_one_nat)))
% 13.98/14.27 (assume a4728 (forall ((L2 tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat L2)) tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.27 (assume a4729 (forall ((L2 tptp.num)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.numeral_numeral_nat L2)) tptp.one_one_nat) tptp.one_one_nat)))
% 13.98/14.27 (assume a4730 (= (@ tptp.ln_ln_real tptp.one_one_real) tptp.zero_zero_real))
% 13.98/14.27 (assume a4731 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_ri6519982836138164636nteger N2) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a4732 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a4733 (forall ((K tptp.num)) (= (@ tptp.neg_numeral_dbl_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real K))) (@ tptp.uminus_uminus_real (@ tptp.neg_numeral_dbl_real (@ tptp.numeral_numeral_real K))))))
% 13.98/14.27 (assume a4734 (forall ((K tptp.num)) (= (@ tptp.neg_numeral_dbl_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus_uminus_int (@ tptp.neg_numeral_dbl_int (@ tptp.numeral_numeral_int K))))))
% 13.98/14.27 (assume a4735 (forall ((K tptp.num)) (= (@ tptp.neg_nu7009210354673126013omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex K))) (@ tptp.uminus1482373934393186551omplex (@ tptp.neg_nu7009210354673126013omplex (@ tptp.numera6690914467698888265omplex K))))))
% 13.98/14.27 (assume a4736 (forall ((K tptp.num)) (= (@ tptp.neg_nu8804712462038260780nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger K))) (@ tptp.uminus1351360451143612070nteger (@ tptp.neg_nu8804712462038260780nteger (@ tptp.numera6620942414471956472nteger K))))))
% 13.98/14.27 (assume a4737 (= (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 13.98/14.27 (assume a4738 (= (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 13.98/14.27 (assume a4739 (= (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.zero_zero_complex))
% 13.98/14.27 (assume a4740 (= (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 13.98/14.27 (assume a4741 (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real) tptp.zero_zero_real))
% 13.98/14.27 (assume a4742 (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int) tptp.zero_zero_int))
% 13.98/14.27 (assume a4743 (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.one_one_complex) tptp.zero_zero_complex))
% 13.98/14.27 (assume a4744 (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))
% 13.98/14.27 (assume a4745 (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 13.98/14.27 (assume a4746 (= (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 13.98/14.27 (assume a4747 (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.zero_zero_complex))
% 13.98/14.27 (assume a4748 (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 13.98/14.27 (assume a4749 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2)) (@ tptp.uminus_uminus_real tptp.one_one_real)) (= N2 tptp.one))))
% 13.98/14.27 (assume a4750 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2)) (@ tptp.uminus_uminus_int tptp.one_one_int)) (= N2 tptp.one))))
% 13.98/14.27 (assume a4751 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (= N2 tptp.one))))
% 13.98/14.27 (assume a4752 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= N2 tptp.one))))
% 13.98/14.27 (assume a4753 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus_uminus_real tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (= N2 tptp.one))))
% 13.98/14.27 (assume a4754 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus_uminus_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (= N2 tptp.one))))
% 13.98/14.27 (assume a4755 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (= N2 tptp.one))))
% 13.98/14.27 (assume a4756 (forall ((N2 tptp.num)) (= (= (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (= N2 tptp.one))))
% 13.98/14.27 (assume a4757 (forall ((N2 tptp.nat) (A tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) A)) A)))
% 13.98/14.27 (assume a4758 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2)) A)) A)))
% 13.98/14.27 (assume a4759 (forall ((N2 tptp.nat) (A tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) A)) A)))
% 13.98/14.27 (assume a4760 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2)) A)) A)))
% 13.98/14.27 (assume a4761 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) tptp.one_one_real)))
% 13.98/14.27 (assume a4762 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2)) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2)) tptp.one_one_int)))
% 13.98/14.27 (assume a4763 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) tptp.one_one_complex)))
% 13.98/14.27 (assume a4764 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2)) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a4765 (forall ((A tptp.int)) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int)))
% 13.98/14.27 (assume a4766 (forall ((A tptp.code_integer)) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a4767 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (= (@ (@ tptp.ord_max_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V)))) (=> (not (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V)))) (= (@ (@ tptp.ord_max_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U)))))))
% 13.98/14.27 (assume a4768 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ 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.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)))))))
% 13.98/14.27 (assume a4769 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (= (@ (@ tptp.ord_max_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V)))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V)))) (= (@ (@ tptp.ord_max_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U)))))))
% 13.98/14.27 (assume a4770 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.numeral_numeral_real V)) (= (@ (@ tptp.ord_max_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.numeral_numeral_real V)) (@ tptp.numeral_numeral_real V))) (=> (not (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.numeral_numeral_real V))) (= (@ (@ tptp.ord_max_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U))) (@ tptp.numeral_numeral_real V)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real U)))))))
% 13.98/14.27 (assume a4771 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ 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.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)))))))
% 13.98/14.27 (assume a4772 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.numeral_numeral_int V)) (= (@ (@ tptp.ord_max_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int V))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.numeral_numeral_int V))) (= (@ (@ tptp.ord_max_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U))) (@ tptp.numeral_numeral_int V)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int U)))))))
% 13.98/14.27 (assume a4773 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real U)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (= (@ (@ tptp.ord_max_real (@ tptp.numeral_numeral_real U)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V)))) (=> (not (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real U)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V)))) (= (@ (@ tptp.ord_max_real (@ tptp.numeral_numeral_real U)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ tptp.numeral_numeral_real U))))))
% 13.98/14.27 (assume a4774 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ 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.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))))))
% 13.98/14.27 (assume a4775 (forall ((U tptp.num) (V tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int U)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (= (@ (@ tptp.ord_max_int (@ tptp.numeral_numeral_int U)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V)))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int U)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V)))) (= (@ (@ tptp.ord_max_int (@ tptp.numeral_numeral_int U)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.numeral_numeral_int U))))))
% 13.98/14.27 (assume a4776 (forall ((N2 tptp.nat)) (= (= (@ (@ tptp.bit_se2923211474154528505it_int N2) tptp.one_one_int) tptp.zero_zero_int) (= N2 tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4777 (forall ((N2 tptp.nat)) (= (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) tptp.one_one_nat) tptp.zero_zero_nat) (= N2 tptp.zero_zero_nat))))
% 13.98/14.27 (assume a4778 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 13.98/14.27 (assume a4779 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.ln_ln_real X)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 13.98/14.27 (assume a4780 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) Y)) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num V) W)))) Y))))
% 13.98/14.27 (assume a4781 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int W))) Y)) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num V) W)))) Y))))
% 13.98/14.27 (assume a4782 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex V))) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) Y)) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num V) W)))) Y))))
% 13.98/14.27 (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.plus_plus_num V) W)))) Y))))
% 13.98/14.27 (assume a4784 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_minus_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.27 (assume a4785 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.27 (assume a4786 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_minus_complex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.27 (assume a4787 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.numera6620942414471956472nteger (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.27 (assume a4788 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.numeral_numeral_real N2)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.27 (assume a4789 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.27 (assume a4790 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M))) (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.27 (assume a4791 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.numera6620942414471956472nteger N2)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.plus_plus_num M) N2))))))
% 13.98/14.27 (assume a4792 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) Y)) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4793 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int W)) Y)) (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4794 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex V))) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) Y)) (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4795 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger V))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger W)) Y)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4796 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real V)) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) Y)) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4797 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int V)) (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int W))) Y)) (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4798 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex V)) (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) Y)) (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4799 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger V)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger W))) Y)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num V) W)))) Y))))
% 13.98/14.27 (assume a4800 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) Y)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num V) W))) Y))))
% 13.98/14.27 (assume a4801 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int W))) Y)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num V) W))) Y))))
% 13.98/14.27 (assume a4802 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex V))) (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) Y)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num V) W))) Y))))
% 13.98/14.27 (assume a4803 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger V))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger W))) Y)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num V) W))) Y))))
% 13.98/14.27 (assume a4804 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.27 (assume a4805 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.27 (assume a4806 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M))) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.27 (assume a4807 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num M) N2)))))
% 13.98/14.27 (assume a4808 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.numeral_numeral_real N2)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4809 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4810 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M))) (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4811 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.numera6620942414471956472nteger N2)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4812 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4813 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4814 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4815 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.times_times_num M) N2))))))
% 13.98/14.27 (assume a4816 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ (@ tptp.ord_less_eq_num N2) M))))
% 13.98/14.27 (assume a4817 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ (@ tptp.ord_less_eq_num N2) M))))
% 13.98/14.27 (assume a4818 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ (@ tptp.ord_less_eq_num N2) M))))
% 13.98/14.27 (assume a4819 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ (@ tptp.ord_less_num N2) M))))
% 13.98/14.27 (assume a4820 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ (@ tptp.ord_less_num N2) M))))
% 13.98/14.27 (assume a4821 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ (@ tptp.ord_less_num N2) M))))
% 13.98/14.27 (assume a4822 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4823 (forall ((M tptp.num)) (= (not (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M)))) (not (= M tptp.one)))))
% 13.98/14.27 (assume a4824 (forall ((M tptp.num)) (= (not (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M)))) (not (= M tptp.one)))))
% 13.98/14.27 (assume a4825 (forall ((M tptp.num)) (= (not (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M)))) (not (= M tptp.one)))))
% 13.98/14.27 (assume a4826 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.divide_divide_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))))))
% 13.98/14.27 (assume a4827 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) B))))
% 13.98/14.27 (assume a4828 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= A (@ (@ tptp.divide_divide_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) (and (=> (not (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) B)) (=> (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.27 (assume a4829 (forall ((A tptp.complex) (B tptp.complex) (W tptp.num)) (= (= A (@ (@ tptp.divide1717551699836669952omplex B) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)))) (and (=> (not (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex A) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) B)) (=> (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a4830 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (= (@ (@ tptp.divide_divide_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) A) (and (=> (not (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= B (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))))) (=> (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.27 (assume a4831 (forall ((B tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex B) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) A) (and (=> (not (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= B (@ (@ tptp.times_times_complex A) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))))) (=> (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a4832 (forall ((M tptp.num)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real tptp.one_one_real)) (not (= M tptp.one)))))
% 13.98/14.27 (assume a4833 (forall ((M tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int tptp.one_one_int)) (not (= M tptp.one)))))
% 13.98/14.27 (assume a4834 (forall ((M tptp.num)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (not (= M tptp.one)))))
% 13.98/14.27 (assume a4835 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.divide_divide_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))))))
% 13.98/14.27 (assume a4836 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) A) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))) B))))
% 13.98/14.27 (assume a4837 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4838 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4839 (forall ((A tptp.complex)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4840 (forall ((A tptp.code_integer)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_8256067586552552935nteger A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4841 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1745604003318907178nteger N2) tptp.one_one_Code_integer) (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4842 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) tptp.one_one_int) (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4843 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) tptp.one_one_nat) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.27 (assume a4844 (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4845 (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4846 (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4847 (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4848 (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4849 (= (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4850 (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4851 (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4852 (= (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a4853 (= (@ (@ tptp.minus_minus_int tptp.one_one_int) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a4854 (= (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a4855 (= (@ (@ tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))
% 13.98/14.27 (assume a4856 (= (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.uminus_uminus_int tptp.one_one_int)))
% 13.98/14.27 (assume a4857 (= (@ (@ tptp.divide6298287555418463151nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a4858 (= (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int))
% 13.98/14.27 (assume a4859 (= (@ (@ tptp.modulo364778990260209775nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 13.98/14.27 (assume a4860 (= (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.one_one_int))
% 13.98/14.27 (assume a4861 (= (@ (@ tptp.modulo364778990260209775nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 13.98/14.27 (assume a4862 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_real A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4863 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_int A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4864 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_complex A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4865 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_8256067586552552935nteger A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4866 (forall ((N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.27 (assume a4867 (forall ((N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.27 (assume a4868 (forall ((N2 tptp.nat) (A tptp.complex)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.27 (assume a4869 (forall ((N2 tptp.nat) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2) (@ (@ tptp.power_8256067586552552935nteger A) N2)))))
% 13.98/14.27 (assume a4870 (forall ((N2 tptp.nat) (A tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2) (@ tptp.uminus_uminus_real (@ (@ tptp.power_power_real A) N2))))))
% 13.98/14.27 (assume a4871 (forall ((N2 tptp.nat) (A tptp.int)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2) (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int A) N2))))))
% 13.98/14.27 (assume a4872 (forall ((N2 tptp.nat) (A tptp.complex)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.power_power_complex A) N2))))))
% 13.98/14.27 (assume a4873 (forall ((N2 tptp.nat) (A tptp.code_integer)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.power_8256067586552552935nteger A) N2))))))
% 13.98/14.27 (assume a4874 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1745604003318907178nteger N2) A)) (or (= N2 tptp.zero_zero_nat) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.27 (assume a4875 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2923211474154528505it_int N2) A)) (or (= N2 tptp.zero_zero_nat) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.27 (assume a4876 (forall ((N2 tptp.nat) (A tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)) (or (= N2 tptp.zero_zero_nat) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.27 (assume a4877 (forall ((M tptp.num)) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num M) tptp.one))))))
% 13.98/14.27 (assume a4878 (forall ((M tptp.num)) (= (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num M) tptp.one))))))
% 13.98/14.27 (assume a4879 (forall ((M tptp.num)) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M))) tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num M) tptp.one))))))
% 13.98/14.27 (assume a4880 (forall ((M tptp.num)) (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ (@ tptp.plus_plus_num M) tptp.one))))))
% 13.98/14.27 (assume a4881 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.numeral_numeral_real (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.27 (assume a4882 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_minus_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.numeral_numeral_int (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.27 (assume a4883 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (@ tptp.numera6690914467698888265omplex (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.27 (assume a4884 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.numera6620942414471956472nteger (@ (@ tptp.plus_plus_num tptp.one) N2)))))
% 13.98/14.27 (assume a4885 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K)))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4886 (= (@ tptp.neg_numeral_dbl_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4887 (= (@ tptp.neg_numeral_dbl_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4888 (= (@ tptp.neg_nu7009210354673126013omplex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4889 (= (@ tptp.neg_nu8804712462038260780nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))
% 13.98/14.27 (assume a4890 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_real)))
% 13.98/14.27 (assume a4891 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_int)))
% 13.98/14.27 (assume a4892 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_complex)))
% 13.98/14.27 (assume a4893 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a4894 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2) tptp.one_one_real))))
% 13.98/14.27 (assume a4895 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2) tptp.one_one_int))))
% 13.98/14.27 (assume a4896 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2) tptp.one_one_complex))))
% 13.98/14.27 (assume a4897 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2) tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a4898 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2) (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 13.98/14.27 (assume a4899 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2) (@ tptp.uminus_uminus_int tptp.one_one_int)))))
% 13.98/14.27 (assume a4900 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 13.98/14.27 (assume a4901 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a4902 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc tptp.zero_zero_nat)) A) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4903 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.suc tptp.zero_zero_nat)) A) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4904 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_ri6519982836138164636nteger tptp.zero_zero_nat) A) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a4905 (forall ((A tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int tptp.zero_zero_nat) A) (@ tptp.uminus_uminus_int (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a4906 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1745604003318907178nteger M) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.ord_less_nat N2) M))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4907 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int M) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.ord_less_nat N2) M))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4908 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat M) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_nat (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.ord_less_nat N2) M))) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a4909 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1745604003318907178nteger N2) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4910 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4911 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a4912 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ tptp.uminus_uminus_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K))) (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ tptp.uminus_uminus_int K)))))
% 13.98/14.27 (assume a4913 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.plus_plus_int (@ (@ tptp.bit_se2923211474154528505it_int N2) A)) (@ (@ tptp.bit_se2923211474154528505it_int N2) B))) (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.plus_plus_int A) B)))))
% 13.98/14.27 (assume a4914 (forall ((N2 tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.plus_plus_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) B))) (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.plus_plus_nat A) B)))))
% 13.98/14.27 (assume a4915 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int) (M tptp.nat)) (=> (= (@ (@ tptp.bit_se2923211474154528505it_int N2) A) (@ (@ tptp.bit_se2923211474154528505it_int N2) B)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.bit_se2923211474154528505it_int M) A) (@ (@ tptp.bit_se2923211474154528505it_int M) B))))))
% 13.98/14.27 (assume a4916 (forall ((N2 tptp.nat) (A tptp.nat) (B tptp.nat) (M tptp.nat)) (=> (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) A) (@ (@ tptp.bit_se2925701944663578781it_nat N2) B)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.bit_se2925701944663578781it_nat M) A) (@ (@ tptp.bit_se2925701944663578781it_nat M) B))))))
% 13.98/14.27 (assume a4917 (forall ((N2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) M)) M)))
% 13.98/14.27 (assume a4918 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.bit_se2925701944663578781it_nat M) Q2)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) Q2)))))
% 13.98/14.27 (assume a4919 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.bit_se2923211474154528505it_int N2) L2))) (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.times_times_int K) L2)))))
% 13.98/14.27 (assume a4920 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real B)) (@ (@ tptp.ord_less_eq_real B) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a4921 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger A) (@ tptp.uminus1351360451143612070nteger B)) (@ (@ tptp.ord_le3102999989581377725nteger B) (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.27 (assume a4922 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int A) (@ tptp.uminus_uminus_int B)) (@ (@ tptp.ord_less_eq_int B) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a4923 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) B) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) A))))
% 13.98/14.27 (assume a4924 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger B)) A))))
% 13.98/14.27 (assume a4925 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) B) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int B)) A))))
% 13.98/14.27 (assume a4926 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a4927 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger A) B) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger B)) (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.27 (assume a4928 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a4929 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real X) Y) (@ (@ tptp.ord_less_eq_set_real (@ tptp.uminus612125837232591019t_real Y)) (@ tptp.uminus612125837232591019t_real X)))))
% 13.98/14.27 (assume a4930 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat X) Y) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.uminus5710092332889474511et_nat Y)) (@ tptp.uminus5710092332889474511et_nat X)))))
% 13.98/14.27 (assume a4931 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real Y) (@ tptp.uminus612125837232591019t_real X)) (@ (@ tptp.ord_less_eq_set_real X) (@ tptp.uminus612125837232591019t_real Y)))))
% 13.98/14.27 (assume a4932 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat Y) (@ tptp.uminus5710092332889474511et_nat X)) (@ (@ tptp.ord_less_eq_set_nat X) (@ tptp.uminus5710092332889474511et_nat Y)))))
% 13.98/14.27 (assume a4933 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real (@ tptp.uminus612125837232591019t_real Y)) X) (@ (@ tptp.ord_less_eq_set_real (@ tptp.uminus612125837232591019t_real X)) Y))))
% 13.98/14.27 (assume a4934 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ tptp.uminus5710092332889474511et_nat Y)) X) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.uminus5710092332889474511et_nat X)) Y))))
% 13.98/14.27 (assume a4935 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real A)) B) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) A))))
% 13.98/14.27 (assume a4936 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int A)) B) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int B)) A))))
% 13.98/14.27 (assume a4937 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger B)) A))))
% 13.98/14.27 (assume a4938 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real B)) (@ (@ tptp.ord_less_real B) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a4939 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int A) (@ tptp.uminus_uminus_int B)) (@ (@ tptp.ord_less_int B) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a4940 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger A) (@ tptp.uminus1351360451143612070nteger B)) (@ (@ tptp.ord_le6747313008572928689nteger B) (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.27 (assume a4941 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a4942 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a4943 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger A) B) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger B)) (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.27 (assume a4944 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.numeral_numeral_real M) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a4945 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.numeral_numeral_int M) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a4946 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.numera6690914467698888265omplex M) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))))))
% 13.98/14.27 (assume a4947 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.numera6620942414471956472nteger M) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a4948 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2)))))
% 13.98/14.27 (assume a4949 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.27 (assume a4950 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.numera6690914467698888265omplex N2)))))
% 13.98/14.27 (assume a4951 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.numera6620942414471956472nteger N2)))))
% 13.98/14.27 (assume a4952 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real A)) B) (@ (@ tptp.times_times_real A) (@ tptp.uminus_uminus_real B)))))
% 13.98/14.27 (assume a4953 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int A)) B) (@ (@ tptp.times_times_int A) (@ tptp.uminus_uminus_int B)))))
% 13.98/14.27 (assume a4954 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex A)) B) (@ (@ tptp.times_times_complex A) (@ tptp.uminus1482373934393186551omplex B)))))
% 13.98/14.27 (assume a4955 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ (@ tptp.times_3573771949741848930nteger A) (@ tptp.uminus1351360451143612070nteger B)))))
% 13.98/14.27 (assume a4956 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.times_times_real A) A) (@ (@ tptp.times_times_real B) B)) (or (= A B) (= A (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a4957 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.times_times_int A) A) (@ (@ tptp.times_times_int B) B)) (or (= A B) (= A (@ tptp.uminus_uminus_int B))))))
% 13.98/14.27 (assume a4958 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.times_times_complex A) A) (@ (@ tptp.times_times_complex B) B)) (or (= A B) (= A (@ tptp.uminus1482373934393186551omplex B))))))
% 13.98/14.27 (assume a4959 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (@ (@ tptp.times_3573771949741848930nteger A) A) (@ (@ tptp.times_3573771949741848930nteger B) B)) (or (= A B) (= A (@ tptp.uminus1351360451143612070nteger B))))))
% 13.98/14.27 (assume a4960 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.uminus_uminus_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a4961 (forall ((A tptp.int) (B tptp.int)) (= (@ tptp.uminus_uminus_int (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a4962 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.plus_plus_complex A) B)) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex B)) (@ tptp.uminus1482373934393186551omplex A)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a4964 (forall ((A2 tptp.real) (K tptp.real) (A tptp.real)) (=> (= A2 (@ (@ tptp.plus_plus_real K) A)) (= (@ tptp.uminus_uminus_real A2) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real K)) (@ tptp.uminus_uminus_real A))))))
% 13.98/14.27 (assume a4965 (forall ((A2 tptp.int) (K tptp.int) (A tptp.int)) (=> (= A2 (@ (@ tptp.plus_plus_int K) A)) (= (@ tptp.uminus_uminus_int A2) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int K)) (@ tptp.uminus_uminus_int A))))))
% 13.98/14.27 (assume a4966 (forall ((A2 tptp.complex) (K tptp.complex) (A tptp.complex)) (=> (= A2 (@ (@ tptp.plus_plus_complex K) A)) (= (@ tptp.uminus1482373934393186551omplex A2) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex K)) (@ tptp.uminus1482373934393186551omplex A))))))
% 13.98/14.27 (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))))))
% 13.98/14.27 (assume a4968 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.uminus_uminus_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a4969 (forall ((A tptp.int) (B tptp.int)) (= (@ tptp.uminus_uminus_int (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a4970 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.plus_plus_complex A) B)) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex B)) (@ tptp.uminus1482373934393186551omplex A)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a4972 (not (= tptp.one_one_real (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a4973 (not (= tptp.one_one_int (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a4974 (not (= tptp.one_one_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 13.98/14.27 (assume a4975 (not (= tptp.one_one_Code_integer (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a4976 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.minus_minus_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.bit_se2923211474154528505it_int N2) L2))) (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.minus_minus_int K) L2)))))
% 13.98/14.27 (assume a4977 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real A)) (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real (@ (@ tptp.minus_minus_real A) B)))))
% 13.98/14.27 (assume a4978 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int A)) (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int (@ (@ tptp.minus_minus_int A) B)))))
% 13.98/14.27 (assume a4979 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex A)) (@ tptp.uminus1482373934393186551omplex B)) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.minus_minus_complex A) B)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a4981 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.divide_divide_int A) (@ tptp.uminus_uminus_int B)) (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int A)) B))))
% 13.98/14.27 (assume a4982 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.uminus1351360451143612070nteger B)) (@ (@ tptp.divide6298287555418463151nteger (@ tptp.uminus1351360451143612070nteger A)) B))))
% 13.98/14.27 (assume a4983 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real A)) B))))
% 13.98/14.27 (assume a4984 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.uminus1482373934393186551omplex A)) B))))
% 13.98/14.27 (assume a4985 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real A)) (@ tptp.uminus_uminus_real B)) (@ (@ tptp.divide_divide_real A) B))))
% 13.98/14.27 (assume a4986 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ tptp.uminus1482373934393186551omplex A)) (@ tptp.uminus1482373934393186551omplex B)) (@ (@ tptp.divide1717551699836669952omplex A) B))))
% 13.98/14.27 (assume a4987 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real A) (@ tptp.uminus_uminus_real B)))))
% 13.98/14.27 (assume a4988 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.uminus1482373934393186551omplex B)))))
% 13.98/14.27 (assume a4989 (forall ((F (-> tptp.nat tptp.nat Bool)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))))
% 13.98/14.27 (assume a4990 (forall ((F (-> tptp.nat tptp.nat tptp.nat)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc6842872674320459806at_nat F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))))
% 13.98/14.27 (assume a4991 (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc27273713700761075at_nat F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))))
% 13.98/14.27 (assume a4992 (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))))
% 13.98/14.27 (assume a4993 (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc4245557441103728435nt_int F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))))
% 13.98/14.27 (assume a4994 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int A) (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int A)) B)))))
% 13.98/14.27 (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)))))
% 13.98/14.27 (assume a4996 (forall ((A tptp.int) (B tptp.int) (A6 tptp.int)) (=> (= (@ (@ tptp.modulo_modulo_int A) B) (@ (@ tptp.modulo_modulo_int A6) B)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int A)) B) (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int A6)) B)))))
% 13.98/14.27 (assume a4997 (forall ((A tptp.code_integer) (B tptp.code_integer) (A6 tptp.code_integer)) (=> (= (@ (@ tptp.modulo364778990260209775nteger A) B) (@ (@ tptp.modulo364778990260209775nteger A6) B)) (= (@ (@ tptp.modulo364778990260209775nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ (@ tptp.modulo364778990260209775nteger (@ tptp.uminus1351360451143612070nteger A6)) B)))))
% 13.98/14.27 (assume a4998 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int (@ (@ tptp.modulo_modulo_int A) B))) B) (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int A)) B))))
% 13.98/14.27 (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))))
% 13.98/14.27 (assume a5000 (forall ((N2 tptp.nat) (B tptp.int)) (= (@ (@ tptp.bit_concat_bit N2) (@ (@ tptp.bit_se2923211474154528505it_int N2) B)) (@ (@ tptp.bit_concat_bit N2) B))))
% 13.98/14.27 (assume a5001 (forall ((N2 tptp.nat) (K tptp.int) (L2 tptp.int) (R tptp.int) (S3 tptp.int)) (= (= (@ (@ (@ tptp.bit_concat_bit N2) K) L2) (@ (@ (@ tptp.bit_concat_bit N2) R) S3)) (and (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) (@ (@ tptp.bit_se2923211474154528505it_int N2) R)) (= L2 S3)))))
% 13.98/14.27 (assume a5002 (forall ((F (-> tptp.nat tptp.nat Bool)) (G (-> tptp.product_prod_nat_nat Bool))) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (= (@ (@ F X5) Y5) (@ G (@ (@ tptp.product_Pair_nat_nat X5) Y5)))) (= (@ tptp.produc6081775807080527818_nat_o F) G))))
% 13.98/14.27 (assume a5003 (forall ((F (-> tptp.nat tptp.nat tptp.nat)) (G (-> tptp.product_prod_nat_nat tptp.nat))) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (= (@ (@ F X5) Y5) (@ G (@ (@ tptp.product_Pair_nat_nat X5) Y5)))) (= (@ tptp.produc6842872674320459806at_nat F) G))))
% 13.98/14.27 (assume a5004 (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (= (@ (@ F X5) Y5) (@ G (@ (@ tptp.product_Pair_nat_nat X5) Y5)))) (= (@ tptp.produc27273713700761075at_nat F) G))))
% 13.98/14.27 (assume a5005 (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (forall ((X5 tptp.nat) (Y5 tptp.nat)) (= (@ (@ F X5) Y5) (@ G (@ (@ tptp.product_Pair_nat_nat X5) Y5)))) (= (@ tptp.produc8739625826339149834_nat_o F) G))))
% 13.98/14.27 (assume a5006 (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (=> (forall ((X5 tptp.int) (Y5 tptp.int)) (= (@ (@ F X5) Y5) (@ G (@ (@ tptp.product_Pair_int_int X5) Y5)))) (= (@ tptp.produc4245557441103728435nt_int F) G))))
% 13.98/14.27 (assume a5007 (forall ((F (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc6081775807080527818_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ F (@ (@ tptp.product_Pair_nat_nat X2) Y3)))) F)))
% 13.98/14.27 (assume a5008 (forall ((F (-> tptp.product_prod_nat_nat tptp.nat))) (= (@ tptp.produc6842872674320459806at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ F (@ (@ tptp.product_Pair_nat_nat X2) Y3)))) F)))
% 13.98/14.27 (assume a5009 (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ F (@ (@ tptp.product_Pair_nat_nat X2) Y3)) __flatten_var_0))) F)))
% 13.98/14.27 (assume a5010 (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc8739625826339149834_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ F (@ (@ tptp.product_Pair_nat_nat X2) Y3)) __flatten_var_0))) F)))
% 13.98/14.27 (assume a5011 (forall ((F (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (= (@ tptp.produc4245557441103728435nt_int (lambda ((X2 tptp.int) (Y3 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X2) Y3)))) F)))
% 13.98/14.27 (assume a5012 (forall ((Q (-> Bool Bool)) (P (-> tptp.nat tptp.nat Bool)) (Z tptp.product_prod_nat_nat)) (=> (@ Q (@ (@ tptp.produc6081775807080527818_nat_o P) Z)) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= Z (@ (@ tptp.product_Pair_nat_nat X5) Y5)) (not (@ Q (@ (@ P X5) Y5)))))))))
% 13.98/14.27 (assume a5013 (forall ((Q (-> tptp.nat Bool)) (P (-> tptp.nat tptp.nat tptp.nat)) (Z tptp.product_prod_nat_nat)) (=> (@ Q (@ (@ tptp.produc6842872674320459806at_nat P) Z)) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= Z (@ (@ tptp.product_Pair_nat_nat X5) Y5)) (not (@ Q (@ (@ P X5) Y5)))))))))
% 13.98/14.27 (assume a5014 (forall ((Q (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (P (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Z tptp.product_prod_nat_nat)) (=> (@ Q (@ (@ tptp.produc27273713700761075at_nat P) Z)) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= Z (@ (@ tptp.product_Pair_nat_nat X5) Y5)) (not (@ Q (@ (@ P X5) Y5)))))))))
% 13.98/14.27 (assume a5015 (forall ((Q (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (P (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Z tptp.product_prod_nat_nat)) (=> (@ Q (@ (@ tptp.produc8739625826339149834_nat_o P) Z)) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= Z (@ (@ tptp.product_Pair_nat_nat X5) Y5)) (not (@ Q (@ (@ P X5) Y5)))))))))
% 13.98/14.27 (assume a5016 (forall ((Q (-> tptp.product_prod_int_int Bool)) (P (-> tptp.int tptp.int tptp.product_prod_int_int)) (Z tptp.product_prod_int_int)) (=> (@ Q (@ (@ tptp.produc4245557441103728435nt_int P) Z)) (not (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (= Z (@ (@ tptp.product_Pair_int_int X5) Y5)) (not (@ Q (@ (@ P X5) Y5)))))))))
% 13.98/14.27 (assume a5017 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X))) X))))
% 13.98/14.27 (assume a5018 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real (@ tptp.ln_ln_real X)) X))))
% 13.98/14.27 (assume a5019 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se2923211474154528505it_int M) K)) (@ (@ tptp.bit_se2923211474154528505it_int N2) K)))))
% 13.98/14.27 (assume a5020 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.bit_ri631733984087533419it_int N2) A) (@ (@ tptp.bit_ri631733984087533419it_int N2) B)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) A) (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) B)))))
% 13.98/14.27 (assume a5021 (forall ((N2 tptp.nat) (K tptp.int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se2923211474154528505it_int N2) K))))
% 13.98/14.27 (assume a5022 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) K) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 13.98/14.27 (assume a5023 (forall ((N2 tptp.nat) (K tptp.int)) (not (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) tptp.zero_zero_int))))
% 13.98/14.27 (assume a5024 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int K) (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 13.98/14.27 (assume a5025 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.bit_ri631733984087533419it_int M) (@ (@ tptp.bit_se2923211474154528505it_int N2) A)) (@ (@ (@ (@ tptp.if_int_int (@ (@ tptp.ord_less_eq_nat N2) M)) (@ tptp.bit_se2923211474154528505it_int N2)) (@ tptp.bit_ri631733984087533419it_int M)) A))))
% 13.98/14.27 (assume a5026 (forall ((M tptp.num) (N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a5027 (forall ((M tptp.num) (N2 tptp.num)) (not (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a5028 (forall ((M tptp.num) (N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a5029 (forall ((M tptp.num) (N2 tptp.num)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.27 (assume a5030 (forall ((M tptp.num) (N2 tptp.num)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.numera6620942414471956472nteger N2))))
% 13.98/14.27 (assume a5031 (forall ((M tptp.num) (N2 tptp.num)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.27 (assume a5032 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a5033 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a5034 (forall ((N2 tptp.num)) (not (= tptp.zero_zero_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))))))
% 13.98/14.27 (assume a5035 (forall ((N2 tptp.num)) (not (= tptp.zero_z3403309356797280102nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a5036 (forall ((M tptp.num) (N2 tptp.num)) (not (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a5037 (forall ((M tptp.num) (N2 tptp.num)) (not (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a5038 (forall ((M tptp.num) (N2 tptp.num)) (not (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a5039 (forall ((M tptp.num) (N2 tptp.num)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.27 (assume a5040 (forall ((M tptp.num) (N2 tptp.num)) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.27 (assume a5041 (forall ((M tptp.num) (N2 tptp.num)) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.numera6620942414471956472nteger N2))))
% 13.98/14.27 (assume a5042 (forall ((A tptp.real) (B tptp.real)) (= (= (@ tptp.uminus_uminus_real A) B) (= (@ (@ tptp.plus_plus_real A) B) tptp.zero_zero_real))))
% 13.98/14.27 (assume a5043 (forall ((A tptp.int) (B tptp.int)) (= (= (@ tptp.uminus_uminus_int A) B) (= (@ (@ tptp.plus_plus_int A) B) tptp.zero_zero_int))))
% 13.98/14.27 (assume a5044 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ tptp.uminus1482373934393186551omplex A) B) (= (@ (@ tptp.plus_plus_complex A) B) tptp.zero_zero_complex))))
% 13.98/14.27 (assume a5045 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (@ tptp.uminus1351360451143612070nteger A) B) (= (@ (@ tptp.plus_p5714425477246183910nteger A) B) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a5046 (forall ((A tptp.real) (B tptp.real)) (= (= A (@ tptp.uminus_uminus_real B)) (= (@ (@ tptp.plus_plus_real A) B) tptp.zero_zero_real))))
% 13.98/14.27 (assume a5047 (forall ((A tptp.int) (B tptp.int)) (= (= A (@ tptp.uminus_uminus_int B)) (= (@ (@ tptp.plus_plus_int A) B) tptp.zero_zero_int))))
% 13.98/14.27 (assume a5048 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (@ tptp.uminus1482373934393186551omplex B)) (= (@ (@ tptp.plus_plus_complex A) B) tptp.zero_zero_complex))))
% 13.98/14.27 (assume a5049 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (@ tptp.uminus1351360451143612070nteger B)) (= (@ (@ tptp.plus_p5714425477246183910nteger A) B) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.27 (assume a5050 (forall ((A tptp.real) (B tptp.real)) (=> (= (@ (@ tptp.plus_plus_real A) B) tptp.zero_zero_real) (= (@ tptp.uminus_uminus_real A) B))))
% 13.98/14.27 (assume a5051 (forall ((A tptp.int) (B tptp.int)) (=> (= (@ (@ tptp.plus_plus_int A) B) tptp.zero_zero_int) (= (@ tptp.uminus_uminus_int A) B))))
% 13.98/14.27 (assume a5052 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (@ (@ tptp.plus_plus_complex A) B) tptp.zero_zero_complex) (= (@ tptp.uminus1482373934393186551omplex A) B))))
% 13.98/14.27 (assume a5053 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= (@ (@ tptp.plus_p5714425477246183910nteger A) B) tptp.zero_z3403309356797280102nteger) (= (@ tptp.uminus1351360451143612070nteger A) B))))
% 13.98/14.27 (assume a5054 (forall ((A tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) A) tptp.zero_zero_real)))
% 13.98/14.27 (assume a5055 (forall ((A tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int A)) A) tptp.zero_zero_int)))
% 13.98/14.27 (assume a5056 (forall ((A tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 13.98/14.27 (assume a5057 (forall ((A tptp.code_integer)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger A)) A) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a5058 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.plus_plus_real A) B) tptp.zero_zero_real) (= B (@ tptp.uminus_uminus_real A)))))
% 13.98/14.27 (assume a5059 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.plus_plus_int A) B) tptp.zero_zero_int) (= B (@ tptp.uminus_uminus_int A)))))
% 13.98/14.27 (assume a5060 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex A) B) tptp.zero_zero_complex) (= B (@ tptp.uminus1482373934393186551omplex A)))))
% 13.98/14.27 (assume a5061 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (@ (@ tptp.plus_p5714425477246183910nteger A) B) tptp.zero_z3403309356797280102nteger) (= B (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.27 (assume a5062 (not (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5063 (not (@ (@ tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5064 (not (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5065 (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))
% 13.98/14.27 (assume a5066 (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer))
% 13.98/14.27 (assume a5067 (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int))
% 13.98/14.27 (assume a5068 (not (= tptp.zero_zero_real (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5069 (not (= tptp.zero_zero_int (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5070 (not (= tptp.zero_zero_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 13.98/14.27 (assume a5071 (not (= tptp.zero_z3403309356797280102nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5072 (forall ((W tptp.num) (X tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) (@ tptp.uminus_uminus_real X)) (@ (@ tptp.times_times_real X) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))))))
% 13.98/14.27 (assume a5073 (forall ((W tptp.num) (X tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int W)) (@ tptp.uminus_uminus_int X)) (@ (@ tptp.times_times_int X) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int W))))))
% 13.98/14.27 (assume a5074 (forall ((W tptp.num) (X tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) (@ tptp.uminus1482373934393186551omplex X)) (@ (@ tptp.times_times_complex X) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))))))
% 13.98/14.27 (assume a5075 (forall ((W tptp.num) (X tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger W)) (@ tptp.uminus1351360451143612070nteger X)) (@ (@ tptp.times_3573771949741848930nteger X) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger W))))))
% 13.98/14.27 (assume a5076 (not (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5077 (not (@ (@ tptp.ord_less_int tptp.one_one_int) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5078 (not (@ (@ tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5079 (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))
% 13.98/14.27 (assume a5080 (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int))
% 13.98/14.27 (assume a5081 (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer))
% 13.98/14.27 (assume a5082 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real A)) (@ tptp.uminus_uminus_real B)) (@ (@ tptp.divide_divide_real A) B)))))
% 13.98/14.27 (assume a5083 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ tptp.uminus1482373934393186551omplex A)) (@ tptp.uminus1482373934393186551omplex B)) (@ (@ tptp.divide1717551699836669952omplex A) B)))))
% 13.98/14.27 (assume a5084 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real A) (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a5085 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.uminus1482373934393186551omplex B))))))
% 13.98/14.27 (assume a5086 (forall ((N2 tptp.num)) (not (= (@ tptp.numeral_numeral_real N2) (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 13.98/14.27 (assume a5087 (forall ((N2 tptp.num)) (not (= (@ tptp.numeral_numeral_int N2) (@ tptp.uminus_uminus_int tptp.one_one_int)))))
% 13.98/14.27 (assume a5088 (forall ((N2 tptp.num)) (not (= (@ tptp.numera6690914467698888265omplex N2) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 13.98/14.27 (assume a5089 (forall ((N2 tptp.num)) (not (= (@ tptp.numera6620942414471956472nteger N2) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a5090 (forall ((N2 tptp.num)) (not (= tptp.one_one_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a5091 (forall ((N2 tptp.num)) (not (= tptp.one_one_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a5092 (forall ((N2 tptp.num)) (not (= tptp.one_one_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))))))
% 13.98/14.27 (assume a5093 (forall ((N2 tptp.num)) (not (= tptp.one_one_Code_integer (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a5094 (forall ((X tptp.real)) (= (= (@ (@ tptp.times_times_real X) X) tptp.one_one_real) (or (= X tptp.one_one_real) (= X (@ tptp.uminus_uminus_real tptp.one_one_real))))))
% 13.98/14.27 (assume a5095 (forall ((X tptp.int)) (= (= (@ (@ tptp.times_times_int X) X) tptp.one_one_int) (or (= X tptp.one_one_int) (= X (@ tptp.uminus_uminus_int tptp.one_one_int))))))
% 13.98/14.27 (assume a5096 (forall ((X tptp.complex)) (= (= (@ (@ tptp.times_times_complex X) X) tptp.one_one_complex) (or (= X tptp.one_one_complex) (= X (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 13.98/14.27 (assume a5097 (forall ((X tptp.code_integer)) (= (= (@ (@ 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))))))
% 13.98/14.27 (assume a5098 (forall ((B2 tptp.real) (K tptp.real) (B tptp.real) (A tptp.real)) (=> (= B2 (@ (@ tptp.plus_plus_real K) B)) (= (@ (@ tptp.minus_minus_real A) B2) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real K)) (@ (@ tptp.minus_minus_real A) B))))))
% 13.98/14.27 (assume a5099 (forall ((B2 tptp.int) (K tptp.int) (B tptp.int) (A tptp.int)) (=> (= B2 (@ (@ tptp.plus_plus_int K) B)) (= (@ (@ tptp.minus_minus_int A) B2) (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int K)) (@ (@ tptp.minus_minus_int A) B))))))
% 13.98/14.27 (assume a5100 (forall ((B2 tptp.complex) (K tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= B2 (@ (@ tptp.plus_plus_complex K) B)) (= (@ (@ tptp.minus_minus_complex A) B2) (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex K)) (@ (@ tptp.minus_minus_complex A) B))))))
% 13.98/14.27 (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))))))
% 13.98/14.27 (assume a5102 (= tptp.minus_minus_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.plus_plus_real A4) (@ tptp.uminus_uminus_real B4)))))
% 13.98/14.27 (assume a5103 (= tptp.minus_minus_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.plus_plus_int A4) (@ tptp.uminus_uminus_int B4)))))
% 13.98/14.27 (assume a5104 (= tptp.minus_minus_complex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.plus_plus_complex A4) (@ tptp.uminus1482373934393186551omplex B4)))))
% 13.98/14.27 (assume a5105 (= tptp.minus_8373710615458151222nteger (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (@ (@ tptp.plus_p5714425477246183910nteger A4) (@ tptp.uminus1351360451143612070nteger B4)))))
% 13.98/14.27 (assume a5106 (= tptp.minus_minus_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.plus_plus_real A4) (@ tptp.uminus_uminus_real B4)))))
% 13.98/14.27 (assume a5107 (= tptp.minus_minus_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.plus_plus_int A4) (@ tptp.uminus_uminus_int B4)))))
% 13.98/14.27 (assume a5108 (= tptp.minus_minus_complex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.plus_plus_complex A4) (@ tptp.uminus1482373934393186551omplex B4)))))
% 13.98/14.27 (assume a5109 (= tptp.minus_8373710615458151222nteger (lambda ((A4 tptp.code_integer) (B4 tptp.code_integer)) (@ (@ tptp.plus_p5714425477246183910nteger A4) (@ tptp.uminus1351360451143612070nteger B4)))))
% 13.98/14.27 (assume a5110 (forall ((N2 tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se4203085406695923979it_int M) A)) (@ (@ tptp.bit_se2923211474154528505it_int N2) A))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se4203085406695923979it_int M) A)) (@ (@ tptp.bit_se4203085406695923979it_int M) (@ (@ tptp.bit_se2923211474154528505it_int N2) A)))))))
% 13.98/14.27 (assume a5111 (forall ((N2 tptp.nat) (M tptp.nat) (A tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se4205575877204974255it_nat M) A)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se4205575877204974255it_nat M) A)) (@ (@ tptp.bit_se4205575877204974255it_nat M) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)))))))
% 13.98/14.27 (assume a5112 (forall ((N2 tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se7879613467334960850it_int M) A)) (@ (@ tptp.bit_se2923211474154528505it_int N2) A))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se7879613467334960850it_int M) A)) (@ (@ tptp.bit_se7879613467334960850it_int M) (@ (@ tptp.bit_se2923211474154528505it_int N2) A)))))))
% 13.98/14.27 (assume a5113 (forall ((N2 tptp.nat) (M tptp.nat) (A tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se7882103937844011126it_nat M) A)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se7882103937844011126it_nat M) A)) (@ (@ tptp.bit_se7882103937844011126it_nat M) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)))))))
% 13.98/14.27 (assume a5114 (forall ((N2 tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se2159334234014336723it_int M) A)) (@ (@ tptp.bit_se2923211474154528505it_int N2) A))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se2159334234014336723it_int M) A)) (@ (@ tptp.bit_se2159334234014336723it_int M) (@ (@ tptp.bit_se2923211474154528505it_int N2) A)))))))
% 13.98/14.27 (assume a5115 (forall ((N2 tptp.nat) (M tptp.nat) (A tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se2161824704523386999it_nat M) A)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A))) (=> (not (@ (@ tptp.ord_less_eq_nat N2) M)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se2161824704523386999it_nat M) A)) (@ (@ tptp.bit_se2161824704523386999it_nat M) (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)))))))
% 13.98/14.27 (assume a5116 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_real B) A) (= (@ (@ tptp.divide_divide_real A) (@ tptp.uminus_uminus_real B)) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B))))))
% 13.98/14.27 (assume a5117 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.divide_divide_int A) (@ tptp.uminus_uminus_int B)) (@ tptp.uminus_uminus_int (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.27 (assume a5118 (forall ((B tptp.complex) (A tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex B) A) (= (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.uminus1482373934393186551omplex B)) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B))))))
% 13.98/14.27 (assume a5119 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.uminus1351360451143612070nteger B)) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.27 (assume a5120 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_real B) A) (= (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real A)) B) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B))))))
% 13.98/14.27 (assume a5121 (forall ((B tptp.int) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_int B) A) (= (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int A)) B) (@ tptp.uminus_uminus_int (@ (@ tptp.divide_divide_int A) B))))))
% 13.98/14.27 (assume a5122 (forall ((B tptp.complex) (A tptp.complex)) (=> (@ (@ tptp.dvd_dvd_complex B) A) (= (@ (@ tptp.divide1717551699836669952omplex (@ tptp.uminus1482373934393186551omplex A)) B) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B))))))
% 13.98/14.27 (assume a5123 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.dvd_dvd_Code_integer B) A) (= (@ (@ tptp.divide6298287555418463151nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.divide6298287555418463151nteger A) B))))))
% 13.98/14.27 (assume a5124 (forall ((A2 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int A2) (@ tptp.uminus1532241313380277803et_int A2)) (= A2 tptp.bot_bot_set_int))))
% 13.98/14.27 (assume a5125 (forall ((A2 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real A2) (@ tptp.uminus612125837232591019t_real A2)) (= A2 tptp.bot_bot_set_real))))
% 13.98/14.27 (assume a5126 (forall ((A2 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat A2) (@ tptp.uminus5710092332889474511et_nat A2)) (= A2 tptp.bot_bot_set_nat))))
% 13.98/14.27 (assume a5127 (forall ((U tptp.real) (X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real U) U))) (@ (@ tptp.times_times_real X) X))))
% 13.98/14.27 (assume a5128 (= tptp.minus_minus_real (lambda ((X2 tptp.real) (Y3 tptp.real)) (@ (@ tptp.plus_plus_real X2) (@ tptp.uminus_uminus_real Y3)))))
% 13.98/14.27 (assume a5129 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K)))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a5130 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real (@ (@ tptp.minus_minus_real tptp.one_one_real) X))) (@ tptp.uminus_uminus_real X))))))
% 13.98/14.27 (assume a5131 (forall ((X tptp.num)) (= (@ (@ tptp.pow X) tptp.one) X)))
% 13.98/14.27 (assume a5132 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real X)) X))))
% 13.98/14.27 (assume a5133 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.ln_ln_real X)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real tptp.one_one_real) X)))))
% 13.98/14.27 (assume a5134 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ tptp.ln_ln_real X)) tptp.zero_zero_real)))))
% 13.98/14.27 (assume a5135 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.ln_ln_real X)))))
% 13.98/14.27 (assume a5136 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.ln_ln_real X)))))
% 13.98/14.27 (assume a5137 (forall ((M tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.bit_se2923211474154528505it_int M) (@ (@ tptp.bit_ri631733984087533419it_int N2) A)) (@ (@ tptp.bit_se2923211474154528505it_int M) A)))))
% 13.98/14.27 (assume a5138 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) tptp.zero_zero_real)))
% 13.98/14.27 (assume a5139 (forall ((N2 tptp.num)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a5140 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) tptp.zero_zero_int)))
% 13.98/14.27 (assume a5141 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a5142 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a5143 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a5144 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))))))
% 13.98/14.27 (assume a5145 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))))))
% 13.98/14.27 (assume a5146 (forall ((N2 tptp.num)) (not (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))))))
% 13.98/14.27 (assume a5147 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) tptp.zero_zero_real)))
% 13.98/14.27 (assume a5148 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) tptp.zero_zero_int)))
% 13.98/14.27 (assume a5149 (forall ((N2 tptp.num)) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.27 (assume a5150 (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 13.98/14.27 (assume a5151 (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 13.98/14.27 (assume a5152 (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 13.98/14.27 (assume a5153 (not (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5154 (not (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5155 (not (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5156 (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 13.98/14.27 (assume a5157 (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 13.98/14.27 (assume a5158 (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 13.98/14.27 (assume a5159 (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5160 (not (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5161 (not (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5162 (forall ((N2 tptp.nat) (K tptp.int)) (=> (not (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) tptp.zero_zero_int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.minus_minus_int K) tptp.one_one_int)) (@ (@ tptp.minus_minus_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) tptp.one_one_int)))))
% 13.98/14.27 (assume a5163 (forall ((M tptp.num)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) tptp.one_one_real)))
% 13.98/14.27 (assume a5164 (forall ((M tptp.num)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a5165 (forall ((M tptp.num)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) tptp.one_one_int)))
% 13.98/14.27 (assume a5166 (forall ((M tptp.num)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.numeral_numeral_real M))))
% 13.98/14.27 (assume a5167 (forall ((M tptp.num)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger M))))
% 13.98/14.27 (assume a5168 (forall ((M tptp.num)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int M))))
% 13.98/14.27 (assume a5169 (forall ((M tptp.num)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5170 (forall ((M tptp.num)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5171 (forall ((M tptp.num)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5172 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 13.98/14.27 (assume a5173 (forall ((M tptp.num)) (not (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a5174 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int tptp.one_one_int)))))
% 13.98/14.27 (assume a5175 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))))))
% 13.98/14.27 (assume a5176 (forall ((M tptp.num)) (not (@ (@ tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))))))
% 13.98/14.27 (assume a5177 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))))))
% 13.98/14.27 (assume a5178 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))))))
% 13.98/14.27 (assume a5179 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))))))
% 13.98/14.27 (assume a5180 (forall ((M tptp.num)) (not (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))))))
% 13.98/14.27 (assume a5181 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))))))
% 13.98/14.27 (assume a5182 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))))))
% 13.98/14.27 (assume a5183 (forall ((M tptp.num)) (not (@ (@ tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))))))
% 13.98/14.27 (assume a5184 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 13.98/14.27 (assume a5185 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int tptp.one_one_int)))))
% 13.98/14.27 (assume a5186 (forall ((M tptp.num)) (not (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a5187 (forall ((M tptp.num)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.numeral_numeral_real M))))
% 13.98/14.27 (assume a5188 (forall ((M tptp.num)) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int M))))
% 13.98/14.27 (assume a5189 (forall ((M tptp.num)) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger M))))
% 13.98/14.27 (assume a5190 (forall ((M tptp.num)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) tptp.one_one_real)))
% 13.98/14.27 (assume a5191 (forall ((M tptp.num)) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) tptp.one_one_int)))
% 13.98/14.27 (assume a5192 (forall ((M tptp.num)) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a5193 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (= C (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B))) (= (@ (@ tptp.times_times_real C) B) (@ tptp.uminus_uminus_real A))))))
% 13.98/14.27 (assume a5194 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (= C (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B))) (= (@ (@ tptp.times_times_complex C) B) (@ tptp.uminus1482373934393186551omplex A))))))
% 13.98/14.27 (assume a5195 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (= (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) B)) C) (= (@ tptp.uminus_uminus_real A) (@ (@ tptp.times_times_real C) B))))))
% 13.98/14.27 (assume a5196 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) C) (= (@ tptp.uminus1482373934393186551omplex A) (@ (@ tptp.times_times_complex C) B))))))
% 13.98/14.27 (assume a5197 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (= (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C)) A) (and (=> (not (= C tptp.zero_zero_real)) (= (@ tptp.uminus_uminus_real B) (@ (@ tptp.times_times_real A) C))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.27 (assume a5198 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (= (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex B) C)) A) (and (=> (not (= C tptp.zero_zero_complex)) (= (@ tptp.uminus1482373934393186551omplex B) (@ (@ tptp.times_times_complex A) C))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a5199 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= A (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (and (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real A) C) (@ tptp.uminus_uminus_real B))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 13.98/14.27 (assume a5200 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= A (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex B) C))) (and (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex A) C) (@ tptp.uminus1482373934393186551omplex B))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a5201 (forall ((B tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real tptp.one))) B) (@ tptp.uminus_uminus_real B))))
% 13.98/14.27 (assume a5202 (forall ((B tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int tptp.one))) B) (@ tptp.uminus_uminus_int B))))
% 13.98/14.27 (assume a5203 (forall ((B tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex tptp.one))) B) (@ tptp.uminus1482373934393186551omplex B))))
% 13.98/14.27 (assume a5204 (forall ((B tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger tptp.one))) B) (@ tptp.uminus1351360451143612070nteger B))))
% 13.98/14.27 (assume a5205 (forall ((B tptp.real)) (= (@ (@ tptp.times_times_real B) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real tptp.one))) (@ tptp.uminus_uminus_real B))))
% 13.98/14.27 (assume a5206 (forall ((B tptp.int)) (= (@ (@ tptp.times_times_int B) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int tptp.one))) (@ tptp.uminus_uminus_int B))))
% 13.98/14.27 (assume a5207 (forall ((B tptp.complex)) (= (@ (@ tptp.times_times_complex B) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex tptp.one))) (@ tptp.uminus1482373934393186551omplex B))))
% 13.98/14.27 (assume a5208 (forall ((B tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger B) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger tptp.one))) (@ tptp.uminus1351360451143612070nteger B))))
% 13.98/14.27 (assume a5209 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.divide_divide_real A) B) (@ tptp.uminus_uminus_real tptp.one_one_real)) (and (not (= B tptp.zero_zero_real)) (= A (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a5210 (forall ((A tptp.complex) (B tptp.complex)) (= (= (@ (@ tptp.divide1717551699836669952omplex A) B) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (and (not (= B tptp.zero_zero_complex)) (= A (@ tptp.uminus1482373934393186551omplex B))))))
% 13.98/14.27 (assume a5211 (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real tptp.one)) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.27 (assume a5212 (= (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int tptp.one)) (@ tptp.uminus_uminus_int tptp.one_one_int)))
% 13.98/14.27 (assume a5213 (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex tptp.one)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 13.98/14.27 (assume a5214 (= (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger tptp.one)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 13.98/14.27 (assume a5215 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.27 (assume a5216 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2)) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.27 (assume a5217 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) (@ (@ tptp.power_power_complex A) N2)))))
% 13.98/14.27 (assume a5218 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2)) (@ (@ tptp.power_8256067586552552935nteger A) N2)))))
% 13.98/14.27 (assume a5219 (forall ((X tptp.real) (K tptp.num)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))))))
% 13.98/14.27 (assume a5220 (forall ((X tptp.int) (K tptp.num)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))) (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))))))
% 13.98/14.27 (assume a5221 (forall ((X tptp.complex) (K tptp.num)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))) (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))))))
% 13.98/14.27 (assume a5222 (forall ((X tptp.code_integer) (K tptp.num)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))) (@ (@ tptp.power_8256067586552552935nteger X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))))))
% 13.98/14.27 (assume a5223 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1745604003318907178nteger (@ tptp.suc N2)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.suc N2))) tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5224 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.suc N2))) tptp.one_one_int))))
% 13.98/14.27 (assume a5225 (forall ((K tptp.num)) (= (@ (@ tptp.bit_se1745604003318907178nteger (@ tptp.numeral_numeral_nat K)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat K))) tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5226 (forall ((K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat K)) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat K))) tptp.one_one_int))))
% 13.98/14.27 (assume a5227 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real X)) Y))))
% 13.98/14.27 (assume a5228 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real X) Y)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real Y) (@ tptp.uminus_uminus_real X)))))
% 13.98/14.27 (assume a5229 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real X)) Y))))
% 13.98/14.27 (assume a5230 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real X) Y)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real Y) (@ tptp.uminus_uminus_real X)))))
% 13.98/14.27 (assume a5231 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.ln_ln_real X)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 13.98/14.27 (assume a5232 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X))) X))))
% 13.98/14.27 (assume a5233 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ tptp.ln_ln_real (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.plus_plus_real (@ tptp.ln_ln_real X)) (@ tptp.ln_ln_real Y)))))))
% 13.98/14.27 (assume a5234 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (= (@ tptp.ln_ln_real X) (@ (@ tptp.minus_minus_real X) tptp.one_one_real)) (= X tptp.one_one_real)))))
% 13.98/14.27 (assume a5235 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ tptp.ln_ln_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.minus_minus_real (@ tptp.ln_ln_real X)) (@ tptp.ln_ln_real Y)))))))
% 13.98/14.27 (assume a5236 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) K) (=> (@ (@ tptp.ord_less_eq_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.uminus_uminus_int K)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) K))))))
% 13.98/14.27 (assume a5237 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) A) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.27 (assume a5238 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a5239 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) A) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a5240 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.27 (assume a5241 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) A) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))))))
% 13.98/14.27 (assume a5242 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))))))
% 13.98/14.27 (assume a5243 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) (@ (@ tptp.divide_divide_real B) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C) B)) (=> (= C tptp.zero_zero_real) (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 13.98/14.27 (assume a5244 (forall ((W tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) (@ (@ tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) C) B)) (=> (= C tptp.zero_zero_complex) (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a5245 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (= (@ (@ tptp.divide_divide_real B) C) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (and (=> (not (= C tptp.zero_zero_real)) (= B (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C))) (=> (= C tptp.zero_zero_real) (= (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 13.98/14.27 (assume a5246 (forall ((B tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (@ (@ tptp.divide1717551699836669952omplex B) C) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) (and (=> (not (= C tptp.zero_zero_complex)) (= B (@ (@ tptp.times_times_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) C))) (=> (= C tptp.zero_zero_complex) (= (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 13.98/14.27 (assume a5247 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real X) Z))) Y) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real X)) (@ (@ tptp.times_times_real Y) Z))) Z)))))
% 13.98/14.27 (assume a5248 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex X) Z))) Y) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex X)) (@ (@ tptp.times_times_complex Y) Z))) Z)))))
% 13.98/14.27 (assume a5249 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) Z))) B) B)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) Z))) B) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real A)) (@ (@ tptp.times_times_real B) Z))) Z))))))
% 13.98/14.27 (assume a5250 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) Z))) B) B)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) Z))) B) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex A)) (@ (@ tptp.times_times_complex B) Z))) Z))))))
% 13.98/14.27 (assume a5251 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real X) Z))) Y) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real X)) (@ (@ tptp.times_times_real Y) Z))) Z)))))
% 13.98/14.27 (assume a5252 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex X) Z))) Y) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex X)) (@ (@ tptp.times_times_complex Y) Z))) Z)))))
% 13.98/14.27 (assume a5253 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real A) Z)) B) (@ tptp.uminus_uminus_real B))) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real A) Z)) B) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real A) (@ (@ tptp.times_times_real B) Z))) Z))))))
% 13.98/14.27 (assume a5254 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex A) Z)) B) (@ tptp.uminus1482373934393186551omplex B))) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex A) Z)) B) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex A) (@ (@ tptp.times_times_complex B) Z))) Z))))))
% 13.98/14.27 (assume a5255 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) Z))) B) (@ tptp.uminus_uminus_real B))) (=> (not (= Z tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real A) Z))) B) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real A)) (@ (@ tptp.times_times_real B) Z))) Z))))))
% 13.98/14.27 (assume a5256 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) Z))) B) (@ tptp.uminus1482373934393186551omplex B))) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.divide1717551699836669952omplex A) Z))) B) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex A)) (@ (@ tptp.times_times_complex B) Z))) Z))))))
% 13.98/14.27 (assume a5257 (forall ((A tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.uminus_uminus_int A)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a5258 (forall ((A tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.27 (assume a5259 (forall ((X tptp.real) (Y tptp.real)) (= (= (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (or (= X Y) (= X (@ tptp.uminus_uminus_real Y))))))
% 13.98/14.27 (assume a5260 (forall ((X tptp.int) (Y tptp.int)) (= (= (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (or (= X Y) (= X (@ tptp.uminus_uminus_int Y))))))
% 13.98/14.27 (assume a5261 (forall ((X tptp.complex) (Y tptp.complex)) (= (= (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_complex Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (or (= X Y) (= X (@ tptp.uminus1482373934393186551omplex Y))))))
% 13.98/14.27 (assume a5262 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (= (@ (@ tptp.power_8256067586552552935nteger X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_8256067586552552935nteger Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (or (= X Y) (= X (@ tptp.uminus1351360451143612070nteger Y))))))
% 13.98/14.27 (assume a5263 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) (@ tptp.numeral_numeral_int (@ tptp.bit0 K))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a5264 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))) (@ (@ tptp.times_times_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.numeral_numeral_nat K))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a5265 (= tptp.bit_se2923211474154528505it_int (lambda ((N tptp.nat) (A4 tptp.int)) (@ (@ tptp.modulo_modulo_int A4) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.27 (assume a5266 (= tptp.bit_se2925701944663578781it_nat (lambda ((N tptp.nat) (A4 tptp.nat)) (@ (@ tptp.modulo_modulo_nat A4) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.27 (assume a5267 (forall ((N2 tptp.nat) (M tptp.nat)) (= (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) M) M) (@ (@ tptp.ord_less_nat M) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a5268 (forall ((N2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) M)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.27 (assume a5269 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) M) M))))
% 13.98/14.27 (assume a5270 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real X)) (@ (@ tptp.minus_minus_real X) tptp.one_one_real)))))
% 13.98/14.27 (assume a5271 (= tptp.bit_se2925701944663578781it_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ (@ tptp.modulo_modulo_nat M6) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.27 (assume a5272 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.ln_ln_real X)) (@ tptp.ln_ln_real Y))) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real X) Y)) Y))))))
% 13.98/14.27 (assume a5273 (forall ((N2 tptp.nat) (K tptp.int)) (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.27 (assume a5274 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) A) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.27 (assume a5275 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a5276 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))))))
% 13.98/14.27 (assume a5277 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))))))
% 13.98/14.27 (assume a5278 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) A) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))))))
% 13.98/14.27 (assume a5279 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real B) C))) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) C)) (@ tptp.uminus_uminus_real B))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.times_times_real A) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))))))
% 13.98/14.27 (assume a5280 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C)) B)) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) tptp.zero_zero_real))))))))
% 13.98/14.27 (assume a5281 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real B) C)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_real B) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C)) B)) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))))))))))
% 13.98/14.27 (assume a5282 (= tptp.bit_se2923211474154528505it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.modulo_modulo_int K3) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.27 (assume a5283 (forall ((A tptp.real)) (= (= (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_real) (or (= A tptp.one_one_real) (= A (@ tptp.uminus_uminus_real tptp.one_one_real))))))
% 13.98/14.27 (assume a5284 (forall ((A tptp.int)) (= (= (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_int) (or (= A tptp.one_one_int) (= A (@ tptp.uminus_uminus_int tptp.one_one_int))))))
% 13.98/14.27 (assume a5285 (forall ((A tptp.complex)) (= (= (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_complex) (or (= A tptp.one_one_complex) (= A (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 13.98/14.27 (assume a5286 (forall ((A tptp.code_integer)) (= (= (@ (@ tptp.power_8256067586552552935nteger A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_Code_integer) (or (= A tptp.one_one_Code_integer) (= A (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 13.98/14.27 (assume a5287 (forall ((N2 tptp.nat) (A tptp.real)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2) (@ (@ tptp.power_power_real A) N2))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2) (@ tptp.uminus_uminus_real (@ (@ tptp.power_power_real A) N2)))))))
% 13.98/14.27 (assume a5288 (forall ((N2 tptp.nat) (A tptp.int)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2) (@ (@ tptp.power_power_int A) N2))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2) (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int A) N2)))))))
% 13.98/14.27 (assume a5289 (forall ((N2 tptp.nat) (A tptp.complex)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2) (@ (@ tptp.power_power_complex A) N2))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.power_power_complex A) N2)))))))
% 13.98/14.27 (assume a5290 (forall ((N2 tptp.nat) (A tptp.code_integer)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2) (@ (@ tptp.power_8256067586552552935nteger A) N2))) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.power_8256067586552552935nteger A) N2)))))))
% 13.98/14.27 (assume a5291 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ (@ tptp.plus_plus_nat N2) K)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ (@ tptp.minus_minus_nat N2) K))))))
% 13.98/14.27 (assume a5292 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.plus_plus_nat N2) K)) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.minus_minus_nat N2) K))))))
% 13.98/14.27 (assume a5293 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ (@ tptp.plus_plus_nat N2) K)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ (@ tptp.minus_minus_nat N2) K))))))
% 13.98/14.27 (assume a5294 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ (@ tptp.plus_plus_nat N2) K)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ (@ tptp.minus_minus_nat N2) K))))))
% 13.98/14.27 (assume a5295 (forall ((U tptp.real) (X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.power_power_real U) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.27 (assume a5296 (= (@ tptp.size_num tptp.one) tptp.zero_zero_nat))
% 13.98/14.27 (assume a5297 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real X)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.ln_ln_real (@ (@ tptp.minus_minus_real tptp.one_one_real) X)))))))
% 13.98/14.27 (assume a5298 (forall ((N2 tptp.nat) (K tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.bit_ri631733984087533419it_int N2) K))))
% 13.98/14.27 (assume a5299 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) K) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) K))))
% 13.98/14.27 (assume a5300 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int K) (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (@ (@ tptp.ord_less_int K) (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.27 (assume a5301 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (= (@ (@ tptp.bit_se1745604003318907178nteger N2) A) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) A))))
% 13.98/14.27 (assume a5302 (forall ((N2 tptp.nat) (A tptp.int)) (= (= (@ (@ tptp.bit_se2923211474154528505it_int N2) A) tptp.zero_zero_int) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) A))))
% 13.98/14.27 (assume a5303 (forall ((N2 tptp.nat) (A tptp.nat)) (= (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) A) tptp.zero_zero_nat) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) A))))
% 13.98/14.27 (assume a5304 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) M)) M) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) M))))
% 13.98/14.27 (assume a5305 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) K) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) K))))
% 13.98/14.27 (assume a5306 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int K) (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.ord_less_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a5307 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (@ (@ tptp.divide_divide_real B) C)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C)) B)) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C))) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) tptp.zero_zero_real))))))))
% 13.98/14.27 (assume a5308 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real B) C)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C))) (=> (not (@ (@ tptp.ord_less_real tptp.zero_zero_real) C)) (and (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) C)) B)) (=> (not (@ (@ tptp.ord_less_real C) tptp.zero_zero_real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))))))))))
% 13.98/14.27 (assume a5309 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))))
% 13.98/14.27 (assume a5310 (forall ((X tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X) (=> (@ (@ tptp.ord_le3102999989581377725nteger X) tptp.one_one_Code_integer) (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.power_8256067586552552935nteger X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_Code_integer)))))
% 13.98/14.27 (assume a5311 (forall ((X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int tptp.one_one_int)) X) (=> (@ (@ tptp.ord_less_eq_int X) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_int)))))
% 13.98/14.27 (assume a5312 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2)) (@ (@ tptp.power_power_real A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a5313 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2)) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2)) (@ (@ tptp.power_power_int A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a5314 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex A)) N2)) (@ (@ tptp.power_power_complex A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a5315 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2)) (@ (@ tptp.power_8256067586552552935nteger A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 13.98/14.27 (assume a5316 (forall ((N2 tptp.nat)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2) tptp.one_one_real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2) (@ tptp.uminus_uminus_real tptp.one_one_real))))))
% 13.98/14.27 (assume a5317 (forall ((N2 tptp.nat)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2) tptp.one_one_int)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2) (@ tptp.uminus_uminus_int tptp.one_one_int))))))
% 13.98/14.27 (assume a5318 (forall ((N2 tptp.nat)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2) tptp.one_one_complex)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 13.98/14.27 (assume a5319 (forall ((N2 tptp.nat)) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2) tptp.one_one_Code_integer)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 13.98/14.27 (assume a5320 (forall ((N2 tptp.nat) (K tptp.int)) (= (= (@ (@ tptp.bit_ri631733984087533419it_int N2) K) K) (and (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) K) (@ (@ tptp.ord_less_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.27 (assume a5321 (forall ((N2 tptp.nat) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) K) (=> (@ (@ tptp.ord_less_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) K) K)))))
% 13.98/14.27 (assume a5322 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5323 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) K) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int K) L2)) tptp.zero_zero_int) (= (@ (@ tptp.divide_divide_int K) L2) (@ tptp.uminus_uminus_int tptp.one_one_int))))))
% 13.98/14.27 (assume a5324 (forall ((N2 tptp.nat) (K tptp.int)) (= (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) K) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (@ (@ tptp.ord_less_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.27 (assume a5325 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (=> (@ (@ tptp.ord_less_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) K)))))
% 13.98/14.27 (assume a5326 (= tptp.bit_ri631733984087533419it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.minus_minus_int (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N)) (@ (@ tptp.plus_plus_int K3) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))
% 13.98/14.27 (assume a5327 (forall ((N2 tptp.nat) (K tptp.int)) (=> (not (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_int))) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.plus_plus_int K) tptp.one_one_int)) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.bit_se2923211474154528505it_int N2) K))))))
% 13.98/14.27 (assume a5328 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.uminus_uminus_real tptp.one_one_real))))
% 13.98/14.27 (assume a5329 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.27 (assume a5330 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 13.98/14.27 (assume a5331 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 13.98/14.27 (assume a5332 (forall ((N2 tptp.nat) (A tptp.code_integer)) (= (@ (@ tptp.bit_se1745604003318907178nteger (@ tptp.suc N2)) A) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.bit_se1745604003318907178nteger N2) (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a5333 (forall ((N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 13.98/14.27 (assume a5334 (forall ((N2 tptp.nat) (A tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.suc N2)) A) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a5335 (forall ((P (-> tptp.int Bool)) (K tptp.int)) (=> (@ P tptp.zero_zero_int) (=> (@ P (@ tptp.uminus_uminus_int tptp.one_one_int)) (=> (forall ((K2 tptp.int)) (=> (@ P K2) (=> (not (= K2 tptp.zero_zero_int)) (@ P (@ (@ tptp.times_times_int K2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))) (=> (forall ((K2 tptp.int)) (=> (@ P K2) (=> (not (= K2 (@ tptp.uminus_uminus_int tptp.one_one_int))) (@ P (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int K2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))) (@ P K)))))))
% 13.98/14.28 (assume a5336 (forall ((N2 tptp.nat) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) K) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.minus_minus_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))))
% 13.98/14.28 (assume a5337 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int K) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.bit_se2923211474154528505it_int N2) K)))))
% 13.98/14.28 (assume a5338 (forall ((A tptp.code_integer) (N2 tptp.nat)) (=> (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (and (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se1745604003318907178nteger N2) A) tptp.zero_z3403309356797280102nteger)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.bit_se1745604003318907178nteger N2) A) (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_Code_integer)))))))
% 13.98/14.28 (assume a5339 (forall ((A tptp.int) (N2 tptp.nat)) (=> (= (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (and (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) A) tptp.zero_zero_int)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) A) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_int)))))))
% 13.98/14.28 (assume a5340 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (and (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) A) tptp.zero_zero_nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) A) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat)))))))
% 13.98/14.28 (assume a5341 (= tptp.unique5026877609467782581ep_nat (lambda ((L tptp.num) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q4 tptp.nat) (R4 tptp.nat)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat L)) R4)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q4)) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat R4) (@ tptp.numeral_numeral_nat L)))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q4)) R4)))) __flatten_var_0))))
% 13.98/14.28 (assume a5342 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real X) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)))))))
% 13.98/14.28 (assume a5343 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int K) (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int K) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.suc N2)))) (@ (@ tptp.bit_ri631733984087533419it_int N2) K)))))
% 13.98/14.28 (assume a5344 (= tptp.unique5024387138958732305ep_int (lambda ((L tptp.num) (__flatten_var_0 tptp.product_prod_int_int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Q4 tptp.int) (R4 tptp.int)) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int L)) R4)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q4)) tptp.one_one_int)) (@ (@ tptp.minus_minus_int R4) (@ tptp.numeral_numeral_int L)))) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q4)) R4)))) __flatten_var_0))))
% 13.98/14.28 (assume a5345 (@ (@ tptp.ord_less_real (@ tptp.ln_ln_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.one_one_real))
% 13.98/14.28 (assume a5346 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X))) X))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a5347 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.tanh_real (@ tptp.ln_ln_real X)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 13.98/14.28 (assume a5348 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q4 tptp.nat) (R4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Q4) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) R4)))) (@ (@ tptp.unique5055182867167087721od_nat M) N2)))))
% 13.98/14.28 (assume a5349 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Q4 tptp.int) (R4 tptp.int)) (@ (@ tptp.product_Pair_int_int Q4) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) R4)))) (@ (@ tptp.unique5052692396658037445od_int M) N2)))))
% 13.98/14.28 (assume a5350 (= tptp.divmod_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (or (= N tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat M6) N))) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) M6)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q4 tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ tptp.suc Q4)) __flatten_var_0))) (@ (@ tptp.divmod_nat (@ (@ tptp.minus_minus_nat M6) N)) N))))))
% 13.98/14.28 (assume a5351 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) tptp.one_one_int))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5352 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X))) X))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a5353 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ tptp.bit1 M) (@ tptp.bit1 N2)) (= M N2))))
% 13.98/14.28 (assume a5354 (forall ((F (-> tptp.code_integer Bool Bool)) (A tptp.code_integer) (B Bool)) (=> (@ (@ F A) B) (@ (@ tptp.produc7828578312038201481er_o_o F) (@ (@ tptp.produc6677183202524767010eger_o A) B)))))
% 13.98/14.28 (assume a5355 (forall ((F (-> tptp.num tptp.num Bool)) (A tptp.num) (B tptp.num)) (=> (@ (@ F A) B) (@ (@ tptp.produc5703948589228662326_num_o F) (@ (@ tptp.product_Pair_num_num A) B)))))
% 13.98/14.28 (assume a5356 (forall ((F (-> tptp.nat tptp.num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ F A) B) (@ (@ tptp.produc4927758841916487424_num_o F) (@ (@ tptp.product_Pair_nat_num A) B)))))
% 13.98/14.28 (assume a5357 (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ F A) B) (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)))))
% 13.98/14.28 (assume a5358 (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)))))
% 13.98/14.28 (assume a5359 (forall ((P5 tptp.produc6271795597528267376eger_o) (C (-> tptp.code_integer Bool Bool))) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc7828578312038201481er_o_o C) P5))))
% 13.98/14.28 (assume a5360 (forall ((P5 tptp.product_prod_num_num) (C (-> tptp.num tptp.num Bool))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc5703948589228662326_num_o C) P5))))
% 13.98/14.28 (assume a5361 (forall ((P5 tptp.product_prod_nat_num) (C (-> tptp.nat tptp.num Bool))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc4927758841916487424_num_o C) P5))))
% 13.98/14.28 (assume a5362 (forall ((P5 tptp.product_prod_int_int) (C (-> tptp.int tptp.int Bool))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P5 (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc4947309494688390418_int_o C) P5))))
% 13.98/14.28 (assume a5363 (forall ((P5 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.nat Bool))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P5 (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc6081775807080527818_nat_o C) P5))))
% 13.98/14.28 (assume a5364 (forall ((Z tptp.nat) (C (-> tptp.code_integer Bool tptp.set_nat)) (A tptp.code_integer) (B Bool)) (=> (@ (@ tptp.member_nat Z) (@ (@ C A) B)) (@ (@ tptp.member_nat Z) (@ (@ tptp.produc5431169771168744661et_nat C) (@ (@ tptp.produc6677183202524767010eger_o A) B))))))
% 13.98/14.28 (assume a5365 (forall ((Z tptp.real) (C (-> tptp.code_integer Bool tptp.set_real)) (A tptp.code_integer) (B Bool)) (=> (@ (@ tptp.member_real Z) (@ (@ C A) B)) (@ (@ tptp.member_real Z) (@ (@ tptp.produc242741666403216561t_real C) (@ (@ tptp.produc6677183202524767010eger_o A) B))))))
% 13.98/14.28 (assume a5366 (forall ((Z tptp.int) (C (-> tptp.code_integer Bool tptp.set_int)) (A tptp.code_integer) (B Bool)) (=> (@ (@ tptp.member_int Z) (@ (@ C A) B)) (@ (@ tptp.member_int Z) (@ (@ tptp.produc1253318751659547953et_int C) (@ (@ tptp.produc6677183202524767010eger_o A) B))))))
% 13.98/14.28 (assume a5367 (forall ((Z tptp.complex) (C (-> tptp.code_integer Bool tptp.set_complex)) (A tptp.code_integer) (B Bool)) (=> (@ (@ tptp.member_complex Z) (@ (@ C A) B)) (@ (@ tptp.member_complex Z) (@ (@ tptp.produc1043322548047392435omplex C) (@ (@ tptp.produc6677183202524767010eger_o A) B))))))
% 13.98/14.28 (assume a5368 (forall ((Z tptp.nat) (C (-> tptp.num tptp.num tptp.set_nat)) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.member_nat Z) (@ (@ C A) B)) (@ (@ tptp.member_nat Z) (@ (@ tptp.produc1361121860356118632et_nat C) (@ (@ tptp.product_Pair_num_num A) B))))))
% 13.98/14.28 (assume a5369 (forall ((Z tptp.real) (C (-> tptp.num tptp.num tptp.set_real)) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.member_real Z) (@ (@ C A) B)) (@ (@ tptp.member_real Z) (@ (@ tptp.produc8296048397933160132t_real C) (@ (@ tptp.product_Pair_num_num A) B))))))
% 13.98/14.28 (assume a5370 (forall ((Z tptp.int) (C (-> tptp.num tptp.num tptp.set_int)) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.member_int Z) (@ (@ C A) B)) (@ (@ tptp.member_int Z) (@ (@ tptp.produc6406642877701697732et_int C) (@ (@ tptp.product_Pair_num_num A) B))))))
% 13.98/14.28 (assume a5371 (forall ((Z tptp.complex) (C (-> tptp.num tptp.num tptp.set_complex)) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.member_complex Z) (@ (@ C A) B)) (@ (@ tptp.member_complex Z) (@ (@ tptp.produc2866383454006189126omplex C) (@ (@ tptp.product_Pair_num_num A) B))))))
% 13.98/14.28 (assume a5372 (forall ((Z tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat)) (A tptp.nat) (B tptp.num)) (=> (@ (@ tptp.member_nat Z) (@ (@ C A) B)) (@ (@ tptp.member_nat Z) (@ (@ tptp.produc4130284055270567454et_nat C) (@ (@ tptp.product_Pair_nat_num A) B))))))
% 13.98/14.28 (assume a5373 (forall ((Z tptp.real) (C (-> tptp.nat tptp.num tptp.set_real)) (A tptp.nat) (B tptp.num)) (=> (@ (@ tptp.member_real Z) (@ (@ C A) B)) (@ (@ tptp.member_real Z) (@ (@ tptp.produc1435849484188172666t_real C) (@ (@ tptp.product_Pair_nat_num A) B))))))
% 13.98/14.28 (assume a5374 (forall ((P5 tptp.produc6271795597528267376eger_o) (Z tptp.nat) (C (-> tptp.code_integer Bool tptp.set_nat))) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o A3) B3)) (@ (@ tptp.member_nat Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z) (@ (@ tptp.produc5431169771168744661et_nat C) P5)))))
% 13.98/14.28 (assume a5375 (forall ((P5 tptp.produc6271795597528267376eger_o) (Z tptp.real) (C (-> tptp.code_integer Bool tptp.set_real))) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o A3) B3)) (@ (@ tptp.member_real Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_real Z) (@ (@ tptp.produc242741666403216561t_real C) P5)))))
% 13.98/14.28 (assume a5376 (forall ((P5 tptp.produc6271795597528267376eger_o) (Z tptp.int) (C (-> tptp.code_integer Bool tptp.set_int))) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o A3) B3)) (@ (@ tptp.member_int Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z) (@ (@ tptp.produc1253318751659547953et_int C) P5)))))
% 13.98/14.28 (assume a5377 (forall ((P5 tptp.produc6271795597528267376eger_o) (Z tptp.complex) (C (-> tptp.code_integer Bool tptp.set_complex))) (=> (forall ((A3 tptp.code_integer) (B3 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o A3) B3)) (@ (@ tptp.member_complex Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_complex Z) (@ (@ tptp.produc1043322548047392435omplex C) P5)))))
% 13.98/14.28 (assume a5378 (forall ((P5 tptp.product_prod_num_num) (Z tptp.nat) (C (-> tptp.num tptp.num tptp.set_nat))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num A3) B3)) (@ (@ tptp.member_nat Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z) (@ (@ tptp.produc1361121860356118632et_nat C) P5)))))
% 13.98/14.28 (assume a5379 (forall ((P5 tptp.product_prod_num_num) (Z tptp.real) (C (-> tptp.num tptp.num tptp.set_real))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num A3) B3)) (@ (@ tptp.member_real Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_real Z) (@ (@ tptp.produc8296048397933160132t_real C) P5)))))
% 13.98/14.28 (assume a5380 (forall ((P5 tptp.product_prod_num_num) (Z tptp.int) (C (-> tptp.num tptp.num tptp.set_int))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num A3) B3)) (@ (@ tptp.member_int Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z) (@ (@ tptp.produc6406642877701697732et_int C) P5)))))
% 13.98/14.28 (assume a5381 (forall ((P5 tptp.product_prod_num_num) (Z tptp.complex) (C (-> tptp.num tptp.num tptp.set_complex))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num A3) B3)) (@ (@ tptp.member_complex Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_complex Z) (@ (@ tptp.produc2866383454006189126omplex C) P5)))))
% 13.98/14.28 (assume a5382 (forall ((P5 tptp.product_prod_nat_num) (Z tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_nat Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z) (@ (@ tptp.produc4130284055270567454et_nat C) P5)))))
% 13.98/14.28 (assume a5383 (forall ((P5 tptp.product_prod_nat_num) (Z tptp.real) (C (-> tptp.nat tptp.num tptp.set_real))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_real Z) (@ (@ C A3) B3)))) (@ (@ tptp.member_real Z) (@ (@ tptp.produc1435849484188172666t_real C) P5)))))
% 13.98/14.28 (assume a5384 (forall ((P5 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat A3) B3) P5) (@ (@ (@ C A3) B3) X))) (@ (@ (@ tptp.produc8739625826339149834_nat_o C) P5) X))))
% 13.98/14.28 (assume a5385 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.bit1 M) (@ tptp.bit0 N2)))))
% 13.98/14.28 (assume a5386 (forall ((M tptp.num) (N2 tptp.num)) (not (= (@ tptp.bit0 M) (@ tptp.bit1 N2)))))
% 13.98/14.28 (assume a5387 (forall ((M tptp.num)) (not (= (@ tptp.bit1 M) tptp.one))))
% 13.98/14.28 (assume a5388 (forall ((N2 tptp.num)) (not (= tptp.one (@ tptp.bit1 N2)))))
% 13.98/14.28 (assume a5389 (forall ((N2 tptp.num)) (= (@ tptp.abs_abs_real (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.28 (assume a5390 (forall ((N2 tptp.num)) (= (@ tptp.abs_abs_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.28 (assume a5391 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real A)) (@ (@ tptp.times_times_real A) A))))
% 13.98/14.28 (assume a5392 (forall ((A tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int A)) (@ (@ tptp.times_times_int A) A))))
% 13.98/14.28 (assume a5393 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B))) (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)))))
% 13.98/14.28 (assume a5394 (forall ((A tptp.int) (B tptp.int)) (= (@ tptp.abs_abs_int (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B))) (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B)))))
% 13.98/14.28 (assume a5395 (= (@ tptp.abs_abs_complex tptp.one_one_complex) tptp.one_one_complex))
% 13.98/14.28 (assume a5396 (= (@ tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 13.98/14.28 (assume a5397 (= (@ tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 13.98/14.28 (assume a5398 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.abs_abs_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)))))
% 13.98/14.28 (assume a5399 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.abs_abs_complex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.abs_abs_complex A)) (@ tptp.abs_abs_complex B)))))
% 13.98/14.28 (assume a5400 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.tanh_real X)) (@ tptp.tanh_real Y)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.28 (assume a5401 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.tanh_real X)) (@ tptp.tanh_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.28 (assume a5402 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.28 (assume a5403 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.28 (assume a5404 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 13.98/14.28 (assume a5405 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 13.98/14.28 (assume a5406 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 13.98/14.28 (assume a5407 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) A) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A))))
% 13.98/14.28 (assume a5408 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (= (@ tptp.abs_abs_real A) A))))
% 13.98/14.28 (assume a5409 (forall ((A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (= (@ tptp.abs_abs_int A) A))))
% 13.98/14.28 (assume a5410 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.abs_abs_real A)) (not (= A tptp.zero_zero_real)))))
% 13.98/14.28 (assume a5411 (forall ((A tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.abs_abs_int A)) (not (= A tptp.zero_zero_int)))))
% 13.98/14.28 (assume a5412 (forall ((N2 tptp.num)) (= (@ tptp.abs_abs_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.28 (assume a5413 (forall ((N2 tptp.num)) (= (@ tptp.abs_abs_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.28 (assume a5414 (forall ((N2 tptp.num)) (= (@ tptp.abs_abs_Code_integer (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.numera6620942414471956472nteger N2))))
% 13.98/14.28 (assume a5415 (= (@ tptp.abs_abs_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))
% 13.98/14.28 (assume a5416 (= (@ tptp.abs_abs_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int))
% 13.98/14.28 (assume a5417 (= (@ tptp.abs_abs_Code_integer (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer))
% 13.98/14.28 (assume a5418 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ tptp.abs_abs_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real A)) N2)) (@ tptp.abs_abs_real (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.28 (assume a5419 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ tptp.abs_abs_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int A)) N2)) (@ tptp.abs_abs_int (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.28 (assume a5420 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ tptp.abs_abs_Code_integer (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger A)) N2)) (@ tptp.abs_abs_Code_integer (@ (@ tptp.power_8256067586552552935nteger A) N2)))))
% 13.98/14.28 (assume a5421 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ tptp.bit1 (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.28 (assume a5422 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ tptp.bit1 (@ (@ tptp.plus_plus_num M) N2)))))
% 13.98/14.28 (assume a5423 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ tptp.bit0 (@ (@ tptp.times_times_num M) (@ tptp.bit1 N2))))))
% 13.98/14.28 (assume a5424 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ tptp.bit0 (@ (@ tptp.times_times_num (@ tptp.bit1 M)) N2)))))
% 13.98/14.28 (assume a5425 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.28 (assume a5426 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.28 (assume a5427 (forall ((M tptp.num)) (not (@ (@ tptp.ord_less_eq_num (@ tptp.bit1 M)) tptp.one))))
% 13.98/14.28 (assume a5428 (forall ((N2 tptp.num)) (@ (@ tptp.ord_less_num tptp.one) (@ tptp.bit1 N2))))
% 13.98/14.28 (assume a5429 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.tanh_real X)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a5430 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.tanh_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5431 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.tanh_real X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a5432 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.tanh_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5433 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real A) (@ tptp.abs_abs_real B))) (or (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (= B tptp.zero_zero_real)))))
% 13.98/14.28 (assume a5434 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real A) (@ tptp.abs_abs_real B))) tptp.zero_zero_real) (or (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 13.98/14.28 (assume a5435 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (= (@ tptp.abs_abs_real A) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.28 (assume a5436 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger) (= (@ tptp.abs_abs_Code_integer A) (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.28 (assume a5437 (forall ((A tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int) (= (@ tptp.abs_abs_int A) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.28 (assume a5438 (forall ((V tptp.num) (W tptp.num)) (= (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int (@ tptp.bit1 V))) (@ tptp.numeral_numeral_int (@ tptp.bit0 W))) (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int W)))))
% 13.98/14.28 (assume a5439 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ tptp.bit0 (@ (@ tptp.plus_plus_num (@ (@ tptp.plus_plus_num M) N2)) tptp.one)))))
% 13.98/14.28 (assume a5440 (forall ((M tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bit1 M)) tptp.one) (@ tptp.bit0 (@ (@ tptp.plus_plus_num M) tptp.one)))))
% 13.98/14.28 (assume a5441 (forall ((M tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bit0 M)) tptp.one) (@ tptp.bit1 M))))
% 13.98/14.28 (assume a5442 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_num tptp.one) (@ tptp.bit1 N2)) (@ tptp.bit0 (@ (@ tptp.plus_plus_num N2) tptp.one)))))
% 13.98/14.28 (assume a5443 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_num tptp.one) (@ tptp.bit0 N2)) (@ tptp.bit1 N2))))
% 13.98/14.28 (assume a5444 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (= (@ tptp.artanh_real (@ tptp.uminus_uminus_real X)) (@ tptp.uminus_uminus_real (@ tptp.artanh_real X))))))
% 13.98/14.28 (assume a5445 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.times_times_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ tptp.bit1 (@ (@ tptp.plus_plus_num (@ (@ tptp.plus_plus_num M) N2)) (@ tptp.bit0 (@ (@ tptp.times_times_num M) N2)))))))
% 13.98/14.28 (assume a5446 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.ord_less_eq_num M) N2))))
% 13.98/14.28 (assume a5447 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.28 (assume a5448 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) N2)) (or (not (= A tptp.zero_zero_real)) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a5449 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.power_power_int (@ tptp.abs_abs_int A)) N2)) (or (not (= A tptp.zero_zero_int)) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a5450 (forall ((A tptp.real)) (= (@ tptp.abs_abs_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5451 (forall ((A tptp.int)) (= (@ tptp.abs_abs_int (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5452 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5453 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int (@ tptp.abs_abs_int A)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5454 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger M)) (@ tptp.numera6620942414471956472nteger N2)) (@ tptp.unique5706413561485394159nteger (@ (@ tptp.unique3479559517661332726nteger N2) M)))))
% 13.98/14.28 (assume a5455 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (@ tptp.unique6322359934112328802ux_nat (@ (@ tptp.unique5055182867167087721od_nat N2) M)))))
% 13.98/14.28 (assume a5456 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (@ tptp.unique6319869463603278526ux_int (@ (@ tptp.unique5052692396658037445od_int N2) M)))))
% 13.98/14.28 (assume a5457 (forall ((M tptp.num)) (= (@ (@ tptp.unique5055182867167087721od_nat M) tptp.one) (@ (@ tptp.product_Pair_nat_nat (@ tptp.numeral_numeral_nat M)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a5458 (forall ((M tptp.num)) (= (@ (@ tptp.unique5052692396658037445od_int M) tptp.one) (@ (@ tptp.product_Pair_int_int (@ tptp.numeral_numeral_int M)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5459 (forall ((W tptp.num) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (= (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) (@ tptp.numeral_numeral_nat W)) (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.28 (assume a5460 (forall ((W tptp.num) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat W)) (= (@ (@ tptp.power_power_int (@ tptp.abs_abs_int A)) (@ tptp.numeral_numeral_nat W)) (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.28 (assume a5461 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat M) (@ tptp.suc (@ tptp.suc (@ tptp.suc N2)))) (@ (@ tptp.divide_divide_nat M) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) N2)))))
% 13.98/14.28 (assume a5462 (forall ((M tptp.nat) (V tptp.num)) (= (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc (@ tptp.suc M)))) (@ tptp.numeral_numeral_nat V)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) M)) (@ tptp.numeral_numeral_nat V)))))
% 13.98/14.28 (assume a5463 (forall ((N2 tptp.num)) (= (@ (@ tptp.unique5055182867167087721od_nat tptp.one) (@ tptp.bit0 N2)) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat tptp.one)))))
% 13.98/14.28 (assume a5464 (forall ((N2 tptp.num)) (= (@ (@ tptp.unique5052692396658037445od_int tptp.one) (@ tptp.bit0 N2)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int tptp.one)))))
% 13.98/14.28 (assume a5465 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.suc (@ tptp.suc (@ tptp.suc N2)))) (@ (@ tptp.modulo_modulo_nat M) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) N2)))))
% 13.98/14.28 (assume a5466 (forall ((M tptp.nat) (V tptp.num)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ tptp.suc (@ tptp.suc M)))) (@ tptp.numeral_numeral_nat V)) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) M)) (@ tptp.numeral_numeral_nat V)))))
% 13.98/14.28 (assume a5467 (forall ((N2 tptp.num)) (= (@ (@ tptp.unique5055182867167087721od_nat tptp.one) (@ tptp.bit1 N2)) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat tptp.one)))))
% 13.98/14.28 (assume a5468 (forall ((N2 tptp.num)) (= (@ (@ tptp.unique5052692396658037445od_int tptp.one) (@ tptp.bit1 N2)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int tptp.one)))))
% 13.98/14.28 (assume a5469 (forall ((V tptp.num) (W tptp.num)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 V))) (@ tptp.numeral_numeral_int (@ tptp.bit0 W))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int W)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5470 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_num M) N2) (= (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit1 M))))) (=> (not (@ (@ tptp.ord_less_num M) N2)) (= (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.unique5026877609467782581ep_nat (@ tptp.bit1 N2)) (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit1 M)) (@ tptp.bit0 (@ tptp.bit1 N2)))))))))
% 13.98/14.28 (assume a5471 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_num M) N2) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int (@ tptp.bit1 M))))) (=> (not (@ (@ tptp.ord_less_num M) N2)) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.unique5024387138958732305ep_int (@ tptp.bit1 N2)) (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit1 M)) (@ tptp.bit0 (@ tptp.bit1 N2)))))))))
% 13.98/14.28 (assume a5472 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_num M) N2) (= (@ (@ tptp.unique3479559517661332726nteger (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger) (@ tptp.numera6620942414471956472nteger (@ tptp.bit1 M))))) (=> (not (@ (@ tptp.ord_less_num M) N2)) (= (@ (@ tptp.unique3479559517661332726nteger (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.unique4921790084139445826nteger (@ tptp.bit1 N2)) (@ (@ tptp.unique3479559517661332726nteger (@ tptp.bit1 M)) (@ tptp.bit0 (@ tptp.bit1 N2)))))))))
% 13.98/14.28 (assume a5473 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_num M) N2) (= (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 M))))) (=> (not (@ (@ tptp.ord_less_eq_num M) N2)) (= (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.unique5026877609467782581ep_nat (@ tptp.bit1 N2)) (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit0 M)) (@ tptp.bit0 (@ tptp.bit1 N2)))))))))
% 13.98/14.28 (assume a5474 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_num M) N2) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 M))))) (=> (not (@ (@ tptp.ord_less_eq_num M) N2)) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.unique5024387138958732305ep_int (@ tptp.bit1 N2)) (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit0 M)) (@ tptp.bit0 (@ tptp.bit1 N2)))))))))
% 13.98/14.28 (assume a5475 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_num M) N2) (= (@ (@ tptp.unique3479559517661332726nteger (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 M))))) (=> (not (@ (@ tptp.ord_less_eq_num M) N2)) (= (@ (@ tptp.unique3479559517661332726nteger (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.unique4921790084139445826nteger (@ tptp.bit1 N2)) (@ (@ tptp.unique3479559517661332726nteger (@ tptp.bit0 M)) (@ tptp.bit0 (@ tptp.bit1 N2)))))))))
% 13.98/14.28 (assume a5476 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.suc N2)) (@ tptp.numeral_numeral_int (@ tptp.bit1 K))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int N2) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5477 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.unique5055182867167087721od_nat (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q4 tptp.nat) (R4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Q4) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) R4)) tptp.one_one_nat)))) (@ (@ tptp.unique5055182867167087721od_nat M) N2)))))
% 13.98/14.28 (assume a5478 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Q4 tptp.int) (R4 tptp.int)) (@ (@ tptp.product_Pair_int_int Q4) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) R4)) tptp.one_one_int)))) (@ (@ tptp.unique5052692396658037445od_int M) N2)))))
% 13.98/14.28 (assume a5479 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.uminus_uminus_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K))) (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.uminus_uminus_int K)))))
% 13.98/14.28 (assume a5480 (forall ((A tptp.real)) (@ (@ tptp.ord_less_eq_real A) (@ tptp.abs_abs_real A))))
% 13.98/14.28 (assume a5481 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int A) (@ tptp.abs_abs_int A))))
% 13.98/14.28 (assume a5482 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) B) (@ (@ tptp.ord_less_eq_real A) B))))
% 13.98/14.28 (assume a5483 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) B) (@ (@ tptp.ord_less_eq_int A) B))))
% 13.98/14.28 (assume a5484 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.abs_abs_complex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex (@ tptp.abs_abs_complex A)) (@ tptp.abs_abs_complex B)))))
% 13.98/14.28 (assume a5485 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.abs_abs_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)))))
% 13.98/14.28 (assume a5486 (forall ((A tptp.int) (B tptp.int)) (= (@ tptp.abs_abs_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B)))))
% 13.98/14.28 (assume a5487 (= (@ tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 13.98/14.28 (assume a5488 (= (@ tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 13.98/14.28 (assume a5489 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ tptp.abs_abs_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) N2))))
% 13.98/14.28 (assume a5490 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ tptp.abs_abs_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int (@ tptp.abs_abs_int A)) N2))))
% 13.98/14.28 (assume a5491 (forall ((Z tptp.nat) (C (-> tptp.code_integer Bool tptp.set_nat)) (P5 tptp.produc6271795597528267376eger_o)) (=> (@ (@ tptp.member_nat Z) (@ (@ tptp.produc5431169771168744661et_nat C) P5)) (not (forall ((X5 tptp.code_integer) (Y5 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o X5) Y5)) (not (@ (@ tptp.member_nat Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5492 (forall ((Z tptp.real) (C (-> tptp.code_integer Bool tptp.set_real)) (P5 tptp.produc6271795597528267376eger_o)) (=> (@ (@ tptp.member_real Z) (@ (@ tptp.produc242741666403216561t_real C) P5)) (not (forall ((X5 tptp.code_integer) (Y5 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o X5) Y5)) (not (@ (@ tptp.member_real Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5493 (forall ((Z tptp.int) (C (-> tptp.code_integer Bool tptp.set_int)) (P5 tptp.produc6271795597528267376eger_o)) (=> (@ (@ tptp.member_int Z) (@ (@ tptp.produc1253318751659547953et_int C) P5)) (not (forall ((X5 tptp.code_integer) (Y5 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o X5) Y5)) (not (@ (@ tptp.member_int Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5494 (forall ((Z tptp.complex) (C (-> tptp.code_integer Bool tptp.set_complex)) (P5 tptp.produc6271795597528267376eger_o)) (=> (@ (@ tptp.member_complex Z) (@ (@ tptp.produc1043322548047392435omplex C) P5)) (not (forall ((X5 tptp.code_integer) (Y5 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o X5) Y5)) (not (@ (@ tptp.member_complex Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5495 (forall ((Z tptp.nat) (C (-> tptp.num tptp.num tptp.set_nat)) (P5 tptp.product_prod_num_num)) (=> (@ (@ tptp.member_nat Z) (@ (@ tptp.produc1361121860356118632et_nat C) P5)) (not (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num X5) Y5)) (not (@ (@ tptp.member_nat Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5496 (forall ((Z tptp.real) (C (-> tptp.num tptp.num tptp.set_real)) (P5 tptp.product_prod_num_num)) (=> (@ (@ tptp.member_real Z) (@ (@ tptp.produc8296048397933160132t_real C) P5)) (not (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num X5) Y5)) (not (@ (@ tptp.member_real Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5497 (forall ((Z tptp.int) (C (-> tptp.num tptp.num tptp.set_int)) (P5 tptp.product_prod_num_num)) (=> (@ (@ tptp.member_int Z) (@ (@ tptp.produc6406642877701697732et_int C) P5)) (not (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num X5) Y5)) (not (@ (@ tptp.member_int Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5498 (forall ((Z tptp.complex) (C (-> tptp.num tptp.num tptp.set_complex)) (P5 tptp.product_prod_num_num)) (=> (@ (@ tptp.member_complex Z) (@ (@ tptp.produc2866383454006189126omplex C) P5)) (not (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num X5) Y5)) (not (@ (@ tptp.member_complex Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5499 (forall ((Z tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat)) (P5 tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_nat Z) (@ (@ tptp.produc4130284055270567454et_nat C) P5)) (not (forall ((X5 tptp.nat) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_nat_num X5) Y5)) (not (@ (@ tptp.member_nat Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5500 (forall ((Z tptp.real) (C (-> tptp.nat tptp.num tptp.set_real)) (P5 tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_real Z) (@ (@ tptp.produc1435849484188172666t_real C) P5)) (not (forall ((X5 tptp.nat) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_nat_num X5) Y5)) (not (@ (@ tptp.member_real Z) (@ (@ C X5) Y5)))))))))
% 13.98/14.28 (assume a5501 (forall ((X22 tptp.num) (X32 tptp.num)) (not (= (@ tptp.bit0 X22) (@ tptp.bit1 X32)))))
% 13.98/14.28 (assume a5502 (forall ((X32 tptp.num)) (not (= tptp.one (@ tptp.bit1 X32)))))
% 13.98/14.28 (assume a5503 (forall ((F (-> tptp.code_integer Bool Bool)) (A tptp.code_integer) (B Bool)) (=> (@ (@ tptp.produc7828578312038201481er_o_o F) (@ (@ tptp.produc6677183202524767010eger_o A) B)) (@ (@ F A) B))))
% 13.98/14.28 (assume a5504 (forall ((F (-> tptp.num tptp.num Bool)) (A tptp.num) (B tptp.num)) (=> (@ (@ tptp.produc5703948589228662326_num_o F) (@ (@ tptp.product_Pair_num_num A) B)) (@ (@ F A) B))))
% 13.98/14.28 (assume a5505 (forall ((F (-> tptp.nat tptp.num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ tptp.produc4927758841916487424_num_o F) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ F A) B))))
% 13.98/14.28 (assume a5506 (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))))
% 13.98/14.28 (assume a5507 (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 13.98/14.28 (assume a5508 (forall ((C (-> tptp.code_integer Bool Bool)) (P5 tptp.produc6271795597528267376eger_o)) (=> (@ (@ tptp.produc7828578312038201481er_o_o C) P5) (not (forall ((X5 tptp.code_integer) (Y5 Bool)) (=> (= P5 (@ (@ tptp.produc6677183202524767010eger_o X5) Y5)) (not (@ (@ C X5) Y5))))))))
% 13.98/14.28 (assume a5509 (forall ((C (-> tptp.num tptp.num Bool)) (P5 tptp.product_prod_num_num)) (=> (@ (@ tptp.produc5703948589228662326_num_o C) P5) (not (forall ((X5 tptp.num) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_num_num X5) Y5)) (not (@ (@ C X5) Y5))))))))
% 13.98/14.28 (assume a5510 (forall ((C (-> tptp.nat tptp.num Bool)) (P5 tptp.product_prod_nat_num)) (=> (@ (@ tptp.produc4927758841916487424_num_o C) P5) (not (forall ((X5 tptp.nat) (Y5 tptp.num)) (=> (= P5 (@ (@ tptp.product_Pair_nat_num X5) Y5)) (not (@ (@ C X5) Y5))))))))
% 13.98/14.28 (assume a5511 (forall ((C (-> tptp.int tptp.int Bool)) (P5 tptp.product_prod_int_int)) (=> (@ (@ tptp.produc4947309494688390418_int_o C) P5) (not (forall ((X5 tptp.int) (Y5 tptp.int)) (=> (= P5 (@ (@ tptp.product_Pair_int_int X5) Y5)) (not (@ (@ C X5) Y5))))))))
% 13.98/14.28 (assume a5512 (forall ((C (-> tptp.nat tptp.nat Bool)) (P5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.produc6081775807080527818_nat_o C) P5) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= P5 (@ (@ tptp.product_Pair_nat_nat X5) Y5)) (not (@ (@ C X5) Y5))))))))
% 13.98/14.28 (assume a5513 (forall ((R2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat) (C tptp.product_prod_nat_nat)) (=> (@ (@ (@ tptp.produc8739625826339149834_nat_o R2) (@ (@ tptp.product_Pair_nat_nat A) B)) C) (@ (@ (@ R2 A) B) C))))
% 13.98/14.28 (assume a5514 (forall ((C (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P5 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (=> (@ (@ (@ tptp.produc8739625826339149834_nat_o C) P5) Z) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (=> (= P5 (@ (@ tptp.product_Pair_nat_nat X5) Y5)) (not (@ (@ (@ C X5) Y5) Z))))))))
% 13.98/14.28 (assume a5515 (forall ((A tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.abs_abs_real A))))
% 13.98/14.28 (assume a5516 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.abs_abs_int A))))
% 13.98/14.28 (assume a5517 (forall ((A tptp.real)) (not (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real A)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5518 (forall ((A tptp.int)) (not (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int A)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5519 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ tptp.abs_abs_real A) A))))
% 13.98/14.28 (assume a5520 (forall ((A tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) A) (= (@ tptp.abs_abs_int A) A))))
% 13.98/14.28 (assume a5521 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real A) B))) (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)))))
% 13.98/14.28 (assume a5522 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.plus_plus_int A) B))) (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B)))))
% 13.98/14.28 (assume a5523 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real A)) C) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real B)) D) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B))) (@ (@ tptp.times_times_real C) D))))))
% 13.98/14.28 (assume a5524 (forall ((A tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (=> (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int A)) C) (=> (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int B)) D) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B))) (@ (@ tptp.times_times_int C) D))))))
% 13.98/14.28 (assume a5525 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real B) A)))))
% 13.98/14.28 (assume a5526 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B))) (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int B) A)))))
% 13.98/14.28 (assume a5527 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real A) B)))))
% 13.98/14.28 (assume a5528 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B)))) (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int A) B)))))
% 13.98/14.28 (assume a5529 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real A) B)))))
% 13.98/14.28 (assume a5530 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B))) (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int A) B)))))
% 13.98/14.28 (assume a5531 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (@ tptp.abs_abs_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B))))))
% 13.98/14.28 (assume a5532 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) B) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) B)))))
% 13.98/14.28 (assume a5533 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger A) B) (=> (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) B) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.abs_abs_Code_integer A)) B)))))
% 13.98/14.28 (assume a5534 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int A) B) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) B) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) B)))))
% 13.98/14.28 (assume a5535 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) B) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) B))))
% 13.98/14.28 (assume a5536 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.abs_abs_Code_integer A)) B) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) B))))
% 13.98/14.28 (assume a5537 (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) B) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) B))))
% 13.98/14.28 (assume a5538 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) B) (and (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) B)))))
% 13.98/14.28 (assume a5539 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.abs_abs_Code_integer A)) B) (and (@ (@ tptp.ord_le3102999989581377725nteger A) B) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) B)))))
% 13.98/14.28 (assume a5540 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) B) (and (@ (@ tptp.ord_less_eq_int A) B) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) B)))))
% 13.98/14.28 (assume a5541 (forall ((A tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real A)) (@ tptp.abs_abs_real A))))
% 13.98/14.28 (assume a5542 (forall ((A tptp.code_integer)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger A)) (@ tptp.abs_abs_Code_integer A))))
% 13.98/14.28 (assume a5543 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int A)) (@ tptp.abs_abs_int A))))
% 13.98/14.28 (assume a5544 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real A)) B) (and (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real A)) B)))))
% 13.98/14.28 (assume a5545 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int A)) B) (and (@ (@ tptp.ord_less_int A) B) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int A)) B)))))
% 13.98/14.28 (assume a5546 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.abs_abs_Code_integer A)) B) (and (@ (@ tptp.ord_le6747313008572928689nteger A) B) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.uminus1351360451143612070nteger A)) B)))))
% 13.98/14.28 (assume a5547 (= tptp.abs_abs_real (lambda ((A4 tptp.real)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_real A4) tptp.zero_zero_real)) (@ tptp.uminus_uminus_real A4)) A4))))
% 13.98/14.28 (assume a5548 (forall ((X tptp.product_prod_num_num)) (=> (not (= X (@ (@ tptp.product_Pair_num_num tptp.one) tptp.one))) (=> (forall ((N4 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num tptp.one) (@ tptp.bit0 N4))))) (=> (forall ((N4 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num tptp.one) (@ tptp.bit1 N4))))) (=> (forall ((M5 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num (@ tptp.bit0 M5)) tptp.one)))) (=> (forall ((M5 tptp.num) (N4 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num (@ tptp.bit0 M5)) (@ tptp.bit0 N4))))) (=> (forall ((M5 tptp.num) (N4 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num (@ tptp.bit0 M5)) (@ tptp.bit1 N4))))) (=> (forall ((M5 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num (@ tptp.bit1 M5)) tptp.one)))) (=> (forall ((M5 tptp.num) (N4 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num (@ tptp.bit1 M5)) (@ tptp.bit0 N4))))) (not (forall ((M5 tptp.num) (N4 tptp.num)) (not (= X (@ (@ tptp.product_Pair_num_num (@ tptp.bit1 M5)) (@ tptp.bit1 N4))))))))))))))))
% 13.98/14.28 (assume a5549 (forall ((Y tptp.num)) (=> (not (= Y tptp.one)) (=> (forall ((X23 tptp.num)) (not (= Y (@ tptp.bit0 X23)))) (not (forall ((X33 tptp.num)) (not (= Y (@ tptp.bit1 X33)))))))))
% 13.98/14.28 (assume a5550 (forall ((X tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (= X Y) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real U)) V) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real X) U)) Y))) V)))))
% 13.98/14.28 (assume a5551 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.tanh_real X)) tptp.one_one_real)))
% 13.98/14.28 (assume a5552 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.tanh_real X))))
% 13.98/14.28 (assume a5553 (forall ((X tptp.real)) (=> (forall ((E2 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E2) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) E2))) (= X tptp.zero_zero_real))))
% 13.98/14.28 (assume a5554 (forall ((A tptp.real) (B tptp.real)) (=> (and (or (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real)) (or (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real))) (= (@ tptp.abs_abs_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B))))))
% 13.98/14.28 (assume a5555 (forall ((A tptp.int) (B tptp.int)) (=> (and (or (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (@ (@ tptp.ord_less_eq_int A) tptp.zero_zero_int)) (or (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (@ (@ tptp.ord_less_eq_int B) tptp.zero_zero_int))) (= (@ tptp.abs_abs_int (@ (@ tptp.times_times_int A) B)) (@ (@ tptp.times_times_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B))))))
% 13.98/14.28 (assume a5556 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.times_times_real (@ tptp.abs_abs_real Y)) X) (@ tptp.abs_abs_real (@ (@ tptp.times_times_real Y) X))))))
% 13.98/14.28 (assume a5557 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (= (@ (@ tptp.times_times_int (@ tptp.abs_abs_int Y)) X) (@ tptp.abs_abs_int (@ (@ tptp.times_times_int Y) X))))))
% 13.98/14.28 (assume a5558 (forall ((A tptp.real) (B tptp.real)) (= (= (@ tptp.abs_abs_real A) B) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (or (= A B) (= A (@ tptp.uminus_uminus_real B)))))))
% 13.98/14.28 (assume a5559 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (@ tptp.abs_abs_Code_integer A) B) (and (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B) (or (= A B) (= A (@ tptp.uminus1351360451143612070nteger B)))))))
% 13.98/14.28 (assume a5560 (forall ((A tptp.int) (B tptp.int)) (= (= (@ tptp.abs_abs_int A) B) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (or (= A B) (= A (@ tptp.uminus_uminus_int B)))))))
% 13.98/14.28 (assume a5561 (forall ((A tptp.real) (B tptp.real)) (= (= A (@ tptp.abs_abs_real B)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (or (= B A) (= B (@ tptp.uminus_uminus_real A)))))))
% 13.98/14.28 (assume a5562 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (@ tptp.abs_abs_Code_integer B)) (and (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A) (or (= B A) (= B (@ tptp.uminus1351360451143612070nteger A)))))))
% 13.98/14.28 (assume a5563 (forall ((A tptp.int) (B tptp.int)) (= (= A (@ tptp.abs_abs_int B)) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) A) (or (= B A) (= B (@ tptp.uminus_uminus_int A)))))))
% 13.98/14.28 (assume a5564 (forall ((A tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.abs_abs_real A))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a5565 (forall ((A tptp.code_integer)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.abs_abs_Code_integer A))) tptp.zero_z3403309356797280102nteger)))
% 13.98/14.28 (assume a5566 (forall ((A tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.abs_abs_int A))) tptp.zero_zero_int)))
% 13.98/14.28 (assume a5567 (forall ((A tptp.real) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) N2))))
% 13.98/14.28 (assume a5568 (forall ((A tptp.int) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.power_power_int (@ tptp.abs_abs_int A)) N2))))
% 13.98/14.28 (assume a5569 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.divide_divide_real (@ tptp.abs_abs_real X)) Y) (@ tptp.abs_abs_real (@ (@ tptp.divide_divide_real X) Y))))))
% 13.98/14.28 (assume a5570 (= tptp.abs_abs_real (lambda ((A4 tptp.real)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_real A4) tptp.zero_zero_real)) (@ tptp.uminus_uminus_real A4)) A4))))
% 13.98/14.28 (assume a5571 (= tptp.abs_abs_int (lambda ((A4 tptp.int)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_int A4) tptp.zero_zero_int)) (@ tptp.uminus_uminus_int A4)) A4))))
% 13.98/14.28 (assume a5572 (= tptp.abs_abs_Code_integer (lambda ((A4 tptp.code_integer)) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le6747313008572928689nteger A4) tptp.zero_z3403309356797280102nteger)) (@ tptp.uminus1351360451143612070nteger A4)) A4))))
% 13.98/14.28 (assume a5573 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (= (@ tptp.abs_abs_real A) (@ tptp.uminus_uminus_real A)))))
% 13.98/14.28 (assume a5574 (forall ((A tptp.int)) (=> (@ (@ tptp.ord_less_int A) tptp.zero_zero_int) (= (@ tptp.abs_abs_int A) (@ tptp.uminus_uminus_int A)))))
% 13.98/14.28 (assume a5575 (forall ((A tptp.code_integer)) (=> (@ (@ tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger) (= (@ tptp.abs_abs_Code_integer A) (@ tptp.uminus1351360451143612070nteger A)))))
% 13.98/14.28 (assume a5576 (= tptp.abs_abs_real (lambda ((A4 tptp.real)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_real A4) tptp.zero_zero_real)) (@ tptp.uminus_uminus_real A4)) A4))))
% 13.98/14.28 (assume a5577 (= tptp.abs_abs_int (lambda ((A4 tptp.int)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_int A4) tptp.zero_zero_int)) (@ tptp.uminus_uminus_int A4)) A4))))
% 13.98/14.28 (assume a5578 (= tptp.abs_abs_Code_integer (lambda ((A4 tptp.code_integer)) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le6747313008572928689nteger A4) tptp.zero_z3403309356797280102nteger)) (@ tptp.uminus1351360451143612070nteger A4)) A4))))
% 13.98/14.28 (assume a5579 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real C) D)))) (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real A) C))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real B) D))))))
% 13.98/14.28 (assume a5580 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int A) B)) (@ (@ tptp.plus_plus_int C) D)))) (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int A) C))) (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int B) D))))))
% 13.98/14.28 (assume a5581 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real A) B))) (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)))))
% 13.98/14.28 (assume a5582 (forall ((A tptp.int) (B tptp.int)) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int A) B))) (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B)))))
% 13.98/14.28 (assume a5583 (forall ((X tptp.real) (A tptp.real) (R tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) A))) R) (and (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real A) R)) X) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.plus_plus_real A) R))))))
% 13.98/14.28 (assume a5584 (forall ((X tptp.int) (A tptp.int) (R tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int X) A))) R) (and (@ (@ tptp.ord_less_eq_int (@ (@ tptp.minus_minus_int A) R)) X) (@ (@ tptp.ord_less_eq_int X) (@ (@ tptp.plus_plus_int A) R))))))
% 13.98/14.28 (assume a5585 (forall ((X tptp.real) (A tptp.real) (R tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) A))) R) (and (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real A) R)) X) (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real A) R))))))
% 13.98/14.28 (assume a5586 (forall ((X tptp.int) (A tptp.int) (R tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int X) A))) R) (and (@ (@ tptp.ord_less_int (@ (@ tptp.minus_minus_int A) R)) X) (@ (@ tptp.ord_less_int X) (@ (@ tptp.plus_plus_int A) R))))))
% 13.98/14.28 (assume a5587 (forall ((N2 tptp.num)) (= (@ tptp.numera1916890842035813515d_enat (@ tptp.bit1 N2)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat N2))) tptp.one_on7984719198319812577d_enat))))
% 13.98/14.28 (assume a5588 (forall ((N2 tptp.num)) (= (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex N2))) tptp.one_one_complex))))
% 13.98/14.28 (assume a5589 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_real (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real N2))) tptp.one_one_real))))
% 13.98/14.28 (assume a5590 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat N2))) tptp.one_one_nat))))
% 13.98/14.28 (assume a5591 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int N2))) tptp.one_one_int))))
% 13.98/14.28 (assume a5592 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2)) (@ tptp.suc (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2))))))
% 13.98/14.28 (assume a5593 (forall ((X tptp.real) (K tptp.num)) (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K))) (@ tptp.uminus_uminus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K)))))))
% 13.98/14.28 (assume a5594 (forall ((X tptp.int) (K tptp.num)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int X)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K))) (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K)))))))
% 13.98/14.28 (assume a5595 (forall ((X tptp.complex) (K tptp.num)) (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K))) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K)))))))
% 13.98/14.28 (assume a5596 (forall ((X tptp.code_integer) (K tptp.num)) (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger X)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K))) (@ tptp.uminus1351360451143612070nteger (@ (@ tptp.power_8256067586552552935nteger X) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K)))))))
% 13.98/14.28 (assume a5597 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat Q2)) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat Q2))))))
% 13.98/14.28 (assume a5598 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int Q2)) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int Q2))))))
% 13.98/14.28 (assume a5599 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))))))
% 13.98/14.28 (assume a5600 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))))))
% 13.98/14.28 (assume a5601 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))))))
% 13.98/14.28 (assume a5602 (forall ((M tptp.num) (Q2 tptp.num) (N2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))))))
% 13.98/14.28 (assume a5603 (forall ((A tptp.real) (X tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) X) (=> (@ (@ tptp.ord_less_real X) B) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((Y2 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) Y2))) D3) (and (@ (@ tptp.ord_less_real A) Y2) (@ (@ tptp.ord_less_real Y2) B))))))))))
% 13.98/14.28 (assume a5604 (forall ((N2 tptp.num)) (= (@ tptp.numera1916890842035813515d_enat (@ tptp.bit1 N2)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat N2)) (@ tptp.numera1916890842035813515d_enat N2))) tptp.one_on7984719198319812577d_enat))))
% 13.98/14.28 (assume a5605 (forall ((N2 tptp.num)) (= (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.numera6690914467698888265omplex N2))) tptp.one_one_complex))))
% 13.98/14.28 (assume a5606 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_real (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_real N2))) tptp.one_one_real))))
% 13.98/14.28 (assume a5607 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat N2))) tptp.one_one_nat))))
% 13.98/14.28 (assume a5608 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)) (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int N2))) tptp.one_one_int))))
% 13.98/14.28 (assume a5609 (forall ((Z tptp.complex) (W tptp.num)) (= (@ (@ tptp.power_power_complex Z) (@ tptp.numeral_numeral_nat (@ tptp.bit1 W))) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex Z) (@ (@ tptp.power_power_complex Z) (@ tptp.numeral_numeral_nat W)))) (@ (@ tptp.power_power_complex Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.28 (assume a5610 (forall ((Z tptp.real) (W tptp.num)) (= (@ (@ tptp.power_power_real Z) (@ tptp.numeral_numeral_nat (@ tptp.bit1 W))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real Z) (@ (@ tptp.power_power_real Z) (@ tptp.numeral_numeral_nat W)))) (@ (@ tptp.power_power_real Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.28 (assume a5611 (forall ((Z tptp.nat) (W tptp.num)) (= (@ (@ tptp.power_power_nat Z) (@ tptp.numeral_numeral_nat (@ tptp.bit1 W))) (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat Z) (@ (@ tptp.power_power_nat Z) (@ tptp.numeral_numeral_nat W)))) (@ (@ tptp.power_power_nat Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.28 (assume a5612 (forall ((Z tptp.int) (W tptp.num)) (= (@ (@ tptp.power_power_int Z) (@ tptp.numeral_numeral_nat (@ tptp.bit1 W))) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int Z) (@ (@ tptp.power_power_int Z) (@ tptp.numeral_numeral_nat W)))) (@ (@ tptp.power_power_int Z) (@ tptp.numeral_numeral_nat W))))))
% 13.98/14.28 (assume a5613 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.abs_abs_real X)))))
% 13.98/14.28 (assume a5614 (forall ((X tptp.int)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ tptp.abs_abs_int X)))))
% 13.98/14.28 (assume a5615 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide_divide_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat N2))))
% 13.98/14.28 (assume a5616 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.28 (assume a5617 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide6298287555418463151nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit1 N2))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.numera6620942414471956472nteger N2))))
% 13.98/14.28 (assume a5618 (forall ((N2 tptp.num)) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit1 N2))))))
% 13.98/14.28 (assume a5619 (forall ((N2 tptp.num)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2))))))
% 13.98/14.28 (assume a5620 (forall ((N2 tptp.num)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))))))
% 13.98/14.28 (assume a5621 (forall ((N2 tptp.num) (Q2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a5622 (forall ((N2 tptp.num) (Q2 tptp.num)) (not (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5623 (forall ((A tptp.complex)) (= (@ (@ tptp.power_power_complex A) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex A) A)) A))))
% 13.98/14.28 (assume a5624 (forall ((A tptp.real)) (= (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real A) A)) A))))
% 13.98/14.28 (assume a5625 (forall ((A tptp.nat)) (= (@ (@ tptp.power_power_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat A) A)) A))))
% 13.98/14.28 (assume a5626 (forall ((A tptp.int)) (= (@ (@ tptp.power_power_int A) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int A) A)) A))))
% 13.98/14.28 (assume a5627 (= (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one)) (@ tptp.suc (@ tptp.suc (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a5628 (forall ((N2 tptp.nat)) (= (@ tptp.suc (@ tptp.suc (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) N2))))
% 13.98/14.28 (assume a5629 (forall ((A tptp.real) (X tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) X) (=> (@ (@ tptp.ord_less_real X) B) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((Y2 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) Y2))) D3) (and (@ (@ tptp.ord_less_eq_real A) Y2) (@ (@ tptp.ord_less_eq_real Y2) B))))))))))
% 13.98/14.28 (assume a5630 (forall ((M tptp.nat)) (or (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) tptp.zero_zero_nat) (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) tptp.one_one_nat) (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (= (@ (@ tptp.modulo_modulo_nat M) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))))))
% 13.98/14.28 (assume a5631 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) (@ tptp.abs_abs_real Y)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a5632 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int X)) (@ tptp.abs_abs_int Y)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a5633 (forall ((X tptp.real)) (= (= (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_real) (= (@ tptp.abs_abs_real X) tptp.one_one_real))))
% 13.98/14.28 (assume a5634 (forall ((X tptp.int)) (= (= (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_int) (= (@ tptp.abs_abs_int X) tptp.one_one_int))))
% 13.98/14.28 (assume a5635 (forall ((X32 tptp.num)) (= (@ tptp.size_size_num (@ tptp.bit1 X32)) (@ (@ tptp.plus_plus_nat (@ tptp.size_size_num X32)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a5636 (forall ((X32 tptp.num)) (= (@ tptp.size_num (@ tptp.bit1 X32)) (@ (@ tptp.plus_plus_nat (@ tptp.size_num X32)) (@ tptp.suc tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a5637 (forall ((N2 tptp.nat) (A tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) N2) (@ (@ tptp.power_power_real A) N2)))))
% 13.98/14.28 (assume a5638 (forall ((N2 tptp.nat) (A tptp.int)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ (@ tptp.power_power_int (@ tptp.abs_abs_int A)) N2) (@ (@ tptp.power_power_int A) N2)))))
% 13.98/14.28 (assume a5639 (forall ((M tptp.num) (Q2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 M))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat tptp.one)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat Q2)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a5640 (forall ((M tptp.num) (Q2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int tptp.one)) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int Q2)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5641 (forall ((Q2 tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat tptp.one)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat Q2)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a5642 (forall ((Q2 tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int tptp.one)) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Q2)))) (= (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int N2)) (@ tptp.numeral_numeral_int Q2)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5643 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat (@ tptp.suc (@ tptp.suc (@ tptp.suc M)))) N2) (@ (@ tptp.divide_divide_nat (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) M)) N2))))
% 13.98/14.28 (assume a5644 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc (@ tptp.suc (@ tptp.suc M)))) N2) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) M)) N2))))
% 13.98/14.28 (assume a5645 (forall ((P (-> tptp.real tptp.real Bool)) (X tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X5) (@ (@ P X5) (@ (@ tptp.power_power_real X5) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ P (@ tptp.abs_abs_real X)) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a5646 (forall ((P (-> tptp.int tptp.int Bool)) (X tptp.int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X5) (@ (@ P X5) (@ (@ tptp.power_power_int X5) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ P (@ tptp.abs_abs_int X)) (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a5647 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) Y)))))
% 13.98/14.28 (assume a5648 (forall ((Y tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_int Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int X)) Y)))))
% 13.98/14.28 (assume a5649 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real))))
% 13.98/14.28 (assume a5650 (forall ((X tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int X)) tptp.one_one_int))))
% 13.98/14.28 (assume a5651 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.one_one_real))))
% 13.98/14.28 (assume a5652 (forall ((X tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_int) (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int X)) tptp.one_one_int))))
% 13.98/14.28 (assume a5653 (= tptp.unique3479559517661332726nteger (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.divide6298287555418463151nteger (@ tptp.numera6620942414471956472nteger M6)) (@ tptp.numera6620942414471956472nteger N))) (@ (@ tptp.modulo364778990260209775nteger (@ tptp.numera6620942414471956472nteger M6)) (@ tptp.numera6620942414471956472nteger N))))))
% 13.98/14.28 (assume a5654 (= tptp.unique5055182867167087721od_nat (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.divide_divide_nat (@ tptp.numeral_numeral_nat M6)) (@ tptp.numeral_numeral_nat N))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat M6)) (@ tptp.numeral_numeral_nat N))))))
% 13.98/14.28 (assume a5655 (= tptp.unique5052692396658037445od_int (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int M6)) (@ tptp.numeral_numeral_int N))) (@ (@ tptp.modulo_modulo_int (@ tptp.numeral_numeral_int M6)) (@ tptp.numeral_numeral_int N))))))
% 13.98/14.28 (assume a5656 (= tptp.unique5055182867167087721od_nat (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.divide_divide_nat (@ tptp.numeral_numeral_nat M6)) (@ tptp.numeral_numeral_nat N))) (@ (@ tptp.modulo_modulo_nat (@ tptp.numeral_numeral_nat M6)) (@ tptp.numeral_numeral_nat N))))))
% 13.98/14.28 (assume a5657 (forall ((N2 tptp.nat) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real A)) (@ tptp.abs_abs_real B)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real A) N2)) (@ (@ tptp.power_power_real B) N2))))))
% 13.98/14.28 (assume a5658 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int A)) (@ tptp.abs_abs_int B)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int A) N2)) (@ (@ tptp.power_power_int B) N2))))))
% 13.98/14.28 (assume a5659 (= tptp.divmod_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.divide_divide_nat M6) N)) (@ (@ tptp.modulo_modulo_nat M6) N)))))
% 13.98/14.28 (assume a5660 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (= X (@ (@ tptp.minus_minus_real Y) Z)) (= Y (@ (@ tptp.plus_plus_real X) Z)))))
% 13.98/14.28 (assume a5661 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) (@ tptp.numeral_numeral_int (@ tptp.bit1 K))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5662 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.numeral_numeral_nat K))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat))))
% 13.98/14.28 (assume a5663 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X))) X))) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a5664 (forall ((N2 tptp.nat)) (=> (= (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a5665 (= tptp.unique5055182867167087721od_nat (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (@ (@ tptp.ord_less_num M6) N)) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat M6))) (@ (@ tptp.unique5026877609467782581ep_nat N) (@ (@ tptp.unique5055182867167087721od_nat M6) (@ tptp.bit0 N)))))))
% 13.98/14.28 (assume a5666 (= tptp.unique5052692396658037445od_int (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (@ (@ tptp.ord_less_num M6) N)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) (@ tptp.numeral_numeral_int M6))) (@ (@ tptp.unique5024387138958732305ep_int N) (@ (@ tptp.unique5052692396658037445od_int M6) (@ tptp.bit0 N)))))))
% 13.98/14.28 (assume a5667 (= tptp.unique3479559517661332726nteger (lambda ((M6 tptp.num) (N tptp.num)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_less_num M6) N)) (@ (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger) (@ tptp.numera6620942414471956472nteger M6))) (@ (@ tptp.unique4921790084139445826nteger N) (@ (@ tptp.unique3479559517661332726nteger M6) (@ tptp.bit0 N)))))))
% 13.98/14.28 (assume a5668 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int N2)) (@ tptp.uminus_uminus_int (@ tptp.adjust_div (@ (@ tptp.unique5052692396658037445od_int tptp.one) N2))))))
% 13.98/14.28 (assume a5669 (forall ((N2 tptp.num)) (= (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.uminus_uminus_int (@ tptp.adjust_div (@ (@ tptp.unique5052692396658037445od_int tptp.one) N2))))))
% 13.98/14.28 (assume a5670 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.pred_numeral L2)) (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) tptp.one_one_int))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5671 (= (@ tptp.neg_nu6075765906172075777c_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))))
% 13.98/14.28 (assume a5672 (= (@ tptp.neg_nu3811975205180677377ec_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 tptp.one)))))
% 13.98/14.28 (assume a5673 (= (@ tptp.neg_nu6511756317524482435omplex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 tptp.one)))))
% 13.98/14.28 (assume a5674 (= (@ tptp.neg_nu7757733837767384882nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit1 tptp.one)))))
% 13.98/14.28 (assume a5675 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc K))))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5676 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_int (@ tptp.bit1 K))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.pred_numeral L2)) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5677 (= (@ tptp.neg_nu6511756317524482435omplex tptp.one_one_complex) tptp.one_one_complex))
% 13.98/14.28 (assume a5678 (= (@ tptp.neg_nu6075765906172075777c_real tptp.one_one_real) tptp.one_one_real))
% 13.98/14.28 (assume a5679 (= (@ tptp.neg_nu3811975205180677377ec_int tptp.one_one_int) tptp.one_one_int))
% 13.98/14.28 (assume a5680 (= (@ tptp.pred_numeral tptp.one) tptp.zero_zero_nat))
% 13.98/14.28 (assume a5681 (forall ((N2 tptp.nat) (K tptp.num)) (= (= (@ tptp.suc N2) (@ tptp.numeral_numeral_nat K)) (= N2 (@ tptp.pred_numeral K)))))
% 13.98/14.28 (assume a5682 (forall ((K tptp.num) (N2 tptp.nat)) (= (= (@ tptp.numeral_numeral_nat K) (@ tptp.suc N2)) (= (@ tptp.pred_numeral K) N2))))
% 13.98/14.28 (assume a5683 (forall ((K tptp.num)) (= (@ tptp.pred_numeral (@ tptp.inc K)) (@ tptp.numeral_numeral_nat K))))
% 13.98/14.28 (assume a5684 (forall ((K tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.suc N2)) (@ (@ tptp.ord_less_nat (@ tptp.pred_numeral K)) N2))))
% 13.98/14.28 (assume a5685 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.ord_less_nat N2) (@ tptp.pred_numeral K)))))
% 13.98/14.28 (assume a5686 (forall ((K tptp.num)) (= (@ tptp.pred_numeral (@ tptp.bit1 K)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K)))))
% 13.98/14.28 (assume a5687 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.ord_less_eq_nat N2) (@ tptp.pred_numeral K)))))
% 13.98/14.28 (assume a5688 (forall ((K tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.suc N2)) (@ (@ tptp.ord_less_eq_nat (@ tptp.pred_numeral K)) N2))))
% 13.98/14.28 (assume a5689 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.minus_minus_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.pred_numeral K)))))
% 13.98/14.28 (assume a5690 (forall ((K tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.suc N2)) (@ (@ tptp.minus_minus_nat (@ tptp.pred_numeral K)) N2))))
% 13.98/14.28 (assume a5691 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.ord_max_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat K)) (@ tptp.suc (@ (@ tptp.ord_max_nat N2) (@ tptp.pred_numeral K))))))
% 13.98/14.28 (assume a5692 (forall ((K tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_max_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.suc N2)) (@ tptp.suc (@ (@ tptp.ord_max_nat (@ tptp.pred_numeral K)) N2)))))
% 13.98/14.28 (assume a5693 (= (@ tptp.neg_nu6075765906172075777c_real tptp.zero_zero_real) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.28 (assume a5694 (= (@ tptp.neg_nu3811975205180677377ec_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int tptp.one_one_int)))
% 13.98/14.28 (assume a5695 (= (@ tptp.neg_nu6511756317524482435omplex tptp.zero_zero_complex) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 13.98/14.28 (assume a5696 (= (@ tptp.neg_nu7757733837767384882nteger tptp.zero_z3403309356797280102nteger) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 13.98/14.28 (assume a5697 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5698 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5699 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex N2))) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5700 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger N2))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5701 (forall ((M tptp.num)) (= (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real M))) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.inc M))))))
% 13.98/14.28 (assume a5702 (forall ((M tptp.num)) (= (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc M))))))
% 13.98/14.28 (assume a5703 (forall ((M tptp.num)) (= (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex M))) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.inc M))))))
% 13.98/14.28 (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.inc M))))))
% 13.98/14.28 (assume a5705 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.numeral_numeral_real N2)) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5706 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5707 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.numera6690914467698888265omplex N2)) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5708 (forall ((N2 tptp.num)) (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger N2)) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.inc N2))))))
% 13.98/14.28 (assume a5709 (forall ((M tptp.num)) (= (@ (@ tptp.minus_minus_real (@ tptp.numeral_numeral_real M)) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.numeral_numeral_real (@ tptp.inc M)))))
% 13.98/14.28 (assume a5710 (forall ((M tptp.num)) (= (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.inc M)))))
% 13.98/14.28 (assume a5711 (forall ((M tptp.num)) (= (@ (@ tptp.minus_minus_complex (@ tptp.numera6690914467698888265omplex M)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.numera6690914467698888265omplex (@ tptp.inc M)))))
% 13.98/14.28 (assume a5712 (forall ((M tptp.num)) (= (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.numera6620942414471956472nteger M)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.numera6620942414471956472nteger (@ tptp.inc M)))))
% 13.98/14.28 (assume a5713 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_int (@ tptp.bit0 K))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.pred_numeral L2)) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5714 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_ri631733984087533419it_int (@ tptp.pred_numeral L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K)))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5715 (forall ((P (-> tptp.num Bool)) (X tptp.num)) (=> (@ P tptp.one) (=> (forall ((X5 tptp.num)) (=> (@ P X5) (@ P (@ tptp.inc X5)))) (@ P X)))))
% 13.98/14.28 (assume a5716 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.plus_plus_num X) (@ tptp.inc Y)) (@ tptp.inc (@ (@ tptp.plus_plus_num X) Y)))))
% 13.98/14.28 (assume a5717 (= tptp.numeral_numeral_nat (lambda ((K3 tptp.num)) (@ tptp.suc (@ tptp.pred_numeral K3)))))
% 13.98/14.28 (assume a5718 (= (@ tptp.inc tptp.one) (@ tptp.bit0 tptp.one)))
% 13.98/14.28 (assume a5719 (forall ((X tptp.num)) (= (@ tptp.inc (@ tptp.bit0 X)) (@ tptp.bit1 X))))
% 13.98/14.28 (assume a5720 (forall ((X tptp.num)) (= (@ tptp.inc (@ tptp.bit1 X)) (@ tptp.bit0 (@ tptp.inc X)))))
% 13.98/14.28 (assume a5721 (forall ((X tptp.num)) (= (@ (@ tptp.plus_plus_num X) tptp.one) (@ tptp.inc X))))
% 13.98/14.28 (assume a5722 (forall ((L2 tptp.int) (K tptp.int)) (=> (not (= L2 tptp.zero_zero_int)) (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int (@ (@ tptp.modulo_modulo_int K) L2))) (@ tptp.abs_abs_int L2)))))
% 13.98/14.28 (assume a5723 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.times_times_num X) (@ tptp.inc Y)) (@ (@ tptp.plus_plus_num (@ (@ tptp.times_times_num X) Y)) X))))
% 13.98/14.28 (assume a5724 (= tptp.pred_numeral (lambda ((K3 tptp.num)) (@ (@ tptp.minus_minus_nat (@ tptp.numeral_numeral_nat K3)) tptp.one_one_nat))))
% 13.98/14.28 (assume a5725 (forall ((X tptp.num)) (= (@ tptp.numera1916890842035813515d_enat (@ tptp.inc X)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.numera1916890842035813515d_enat X)) tptp.one_on7984719198319812577d_enat))))
% 13.98/14.28 (assume a5726 (forall ((X tptp.num)) (= (@ tptp.numera6690914467698888265omplex (@ tptp.inc X)) (@ (@ tptp.plus_plus_complex (@ tptp.numera6690914467698888265omplex X)) tptp.one_one_complex))))
% 13.98/14.28 (assume a5727 (forall ((X tptp.num)) (= (@ tptp.numeral_numeral_real (@ tptp.inc X)) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real X)) tptp.one_one_real))))
% 13.98/14.28 (assume a5728 (forall ((X tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.inc X)) (@ (@ tptp.plus_plus_nat (@ tptp.numeral_numeral_nat X)) tptp.one_one_nat))))
% 13.98/14.28 (assume a5729 (forall ((X tptp.num)) (= (@ tptp.numeral_numeral_int (@ tptp.inc X)) (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int X)) tptp.one_one_int))))
% 13.98/14.28 (assume a5730 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int K)) L2)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int K) L2)))))
% 13.98/14.28 (assume a5731 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int K) (@ tptp.abs_abs_int L2))) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_int K) L2)))))
% 13.98/14.28 (assume a5732 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.pred_numeral L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc K))))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5733 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.int)) (K tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (and (@ (@ tptp.ord_less_eq_nat M) I4) (@ (@ tptp.ord_less_nat I4) N2)) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ F (@ tptp.suc I4))) (@ F I4)))) tptp.one_one_int))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (=> (@ (@ tptp.ord_less_eq_int (@ F M)) K) (=> (@ (@ tptp.ord_less_eq_int K) (@ F N2)) (exists ((I4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat M) I4) (@ (@ tptp.ord_less_eq_nat I4) N2) (= (@ F I4) K)))))))))
% 13.98/14.28 (assume a5734 (= tptp.neg_nu6511756317524482435omplex (lambda ((X2 tptp.complex)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex X2) X2)) tptp.one_one_complex))))
% 13.98/14.28 (assume a5735 (= tptp.neg_nu6075765906172075777c_real (lambda ((X2 tptp.real)) (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real X2) X2)) tptp.one_one_real))))
% 13.98/14.28 (assume a5736 (= tptp.neg_nu3811975205180677377ec_int (lambda ((X2 tptp.int)) (@ (@ tptp.minus_minus_int (@ (@ tptp.plus_plus_int X2) X2)) tptp.one_one_int))))
% 13.98/14.28 (assume a5737 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_int (@ tptp.bit0 K))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.pred_numeral L2)) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5738 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 K))) (@ (@ tptp.times_times_nat (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.pred_numeral L2)) (@ tptp.numeral_numeral_nat K))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5739 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.int)) (K tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) N2) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ F (@ tptp.suc I4))) (@ F I4)))) tptp.one_one_int))) (=> (@ (@ tptp.ord_less_eq_int (@ F tptp.zero_zero_nat)) K) (=> (@ (@ tptp.ord_less_eq_int K) (@ F N2)) (exists ((I4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat I4) N2) (= (@ F I4) K))))))))
% 13.98/14.28 (assume a5740 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))) (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.pred_numeral L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K)))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a5741 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.int)) (K tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) N2) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ F (@ (@ tptp.plus_plus_nat I4) tptp.one_one_nat))) (@ F I4)))) tptp.one_one_int))) (=> (@ (@ tptp.ord_less_eq_int (@ F tptp.zero_zero_nat)) K) (=> (@ (@ tptp.ord_less_eq_int K) (@ F N2)) (exists ((I4 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat I4) N2) (= (@ F I4) K))))))))
% 13.98/14.28 (assume a5742 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_int (@ tptp.bit1 K))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.pred_numeral L2)) (@ tptp.numeral_numeral_int K))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 13.98/14.28 (assume a5743 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.numeral_numeral_nat L2)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 K))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.pred_numeral L2)) (@ tptp.numeral_numeral_nat K))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat))))
% 13.98/14.28 (assume a5744 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.arctan X)) (@ tptp.arctan (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a5745 (= (@ tptp.neg_nu8557863876264182079omplex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 tptp.one))))
% 13.98/14.28 (assume a5746 (= (@ tptp.neg_nu8295874005876285629c_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))))
% 13.98/14.28 (assume a5747 (= (@ tptp.neg_nu5851722552734809277nc_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit1 tptp.one))))
% 13.98/14.28 (assume a5748 (forall ((M tptp.num)) (= (@ (@ tptp.unique5052692396658037445od_int (@ tptp.bitM M)) (@ tptp.bit0 tptp.one)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int M)) tptp.one_one_int)) tptp.one_one_int))))
% 13.98/14.28 (assume a5749 (= tptp.ring_1_of_int_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 tptp.zero_zero_int)) tptp.zero_zero_real) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_int K3) tptp.zero_zero_int)) (@ tptp.uminus_uminus_real (@ tptp.ring_1_of_int_real (@ tptp.uminus_uminus_int K3)))) (@ (@ (@ tptp.if_real (= (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) tptp.one_one_real)))))))
% 13.98/14.28 (assume a5750 (= tptp.ring_1_of_int_int (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_int (= K3 tptp.zero_zero_int)) tptp.zero_zero_int) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_int K3) tptp.zero_zero_int)) (@ tptp.uminus_uminus_int (@ tptp.ring_1_of_int_int (@ tptp.uminus_uminus_int K3)))) (@ (@ (@ tptp.if_int (= (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.ring_1_of_int_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.ring_1_of_int_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) tptp.one_one_int)))))))
% 13.98/14.28 (assume a5751 (= tptp.ring_17405671764205052669omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 tptp.zero_zero_int)) tptp.zero_zero_complex) (@ (@ (@ tptp.if_complex (@ (@ tptp.ord_less_int K3) tptp.zero_zero_int)) (@ tptp.uminus1482373934393186551omplex (@ tptp.ring_17405671764205052669omplex (@ tptp.uminus_uminus_int K3)))) (@ (@ (@ tptp.if_complex (= (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.ring_17405671764205052669omplex (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.ring_17405671764205052669omplex (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) tptp.one_one_complex)))))))
% 13.98/14.28 (assume a5752 (= tptp.ring_18347121197199848620nteger (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_Code_integer (= K3 tptp.zero_zero_int)) tptp.zero_z3403309356797280102nteger) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_less_int K3) tptp.zero_zero_int)) (@ tptp.uminus1351360451143612070nteger (@ tptp.ring_18347121197199848620nteger (@ tptp.uminus_uminus_int K3)))) (@ (@ (@ tptp.if_Code_integer (= (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.ring_18347121197199848620nteger (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.ring_18347121197199848620nteger (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) tptp.one_one_Code_integer)))))))
% 13.98/14.28 (assume a5753 (forall ((K tptp.num)) (= (@ tptp.neg_nu8295874005876285629c_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real K))) (@ tptp.uminus_uminus_real (@ tptp.neg_nu6075765906172075777c_real (@ tptp.numeral_numeral_real K))))))
% 13.98/14.28 (assume a5754 (forall ((K tptp.num)) (= (@ tptp.neg_nu5851722552734809277nc_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus_uminus_int (@ tptp.neg_nu3811975205180677377ec_int (@ tptp.numeral_numeral_int K))))))
% 13.98/14.28 (assume a5755 (forall ((K tptp.num)) (= (@ tptp.neg_nu8557863876264182079omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex K))) (@ tptp.uminus1482373934393186551omplex (@ tptp.neg_nu6511756317524482435omplex (@ tptp.numera6690914467698888265omplex K))))))
% 13.98/14.28 (assume a5756 (forall ((K tptp.num)) (= (@ tptp.neg_nu5831290666863070958nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger K))) (@ tptp.uminus1351360451143612070nteger (@ tptp.neg_nu7757733837767384882nteger (@ tptp.numera6620942414471956472nteger K))))))
% 13.98/14.28 (assume a5757 (forall ((K tptp.num)) (= (@ tptp.neg_nu6075765906172075777c_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real K))) (@ tptp.uminus_uminus_real (@ tptp.neg_nu8295874005876285629c_real (@ tptp.numeral_numeral_real K))))))
% 13.98/14.28 (assume a5758 (forall ((K tptp.num)) (= (@ tptp.neg_nu3811975205180677377ec_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus_uminus_int (@ tptp.neg_nu5851722552734809277nc_int (@ tptp.numeral_numeral_int K))))))
% 13.98/14.28 (assume a5759 (forall ((K tptp.num)) (= (@ tptp.neg_nu6511756317524482435omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex K))) (@ tptp.uminus1482373934393186551omplex (@ tptp.neg_nu8557863876264182079omplex (@ tptp.numera6690914467698888265omplex K))))))
% 13.98/14.28 (assume a5760 (forall ((K tptp.num)) (= (@ tptp.neg_nu7757733837767384882nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger K))) (@ tptp.uminus1351360451143612070nteger (@ tptp.neg_nu5831290666863070958nteger (@ tptp.numera6620942414471956472nteger K))))))
% 13.98/14.28 (assume a5761 (forall ((K tptp.num)) (= (@ tptp.ring_17405671764205052669omplex (@ tptp.numeral_numeral_int K)) (@ tptp.numera6690914467698888265omplex K))))
% 13.98/14.28 (assume a5762 (forall ((K tptp.num)) (= (@ tptp.ring_1_of_int_real (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_real K))))
% 13.98/14.28 (assume a5763 (forall ((K tptp.num)) (= (@ tptp.ring_1_of_int_int (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_int K))))
% 13.98/14.28 (assume a5764 (forall ((Z tptp.int) (N2 tptp.num)) (= (= (@ tptp.ring_17405671764205052669omplex Z) (@ tptp.numera6690914467698888265omplex N2)) (= Z (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5765 (forall ((Z tptp.int) (N2 tptp.num)) (= (= (@ tptp.ring_1_of_int_real Z) (@ tptp.numeral_numeral_real N2)) (= Z (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5766 (forall ((Z tptp.int) (N2 tptp.num)) (= (= (@ tptp.ring_1_of_int_int Z) (@ tptp.numeral_numeral_int N2)) (= Z (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5767 (forall ((W tptp.int) (Z tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real W)) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_eq_int W) Z))))
% 13.98/14.28 (assume a5768 (forall ((W tptp.int) (Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int W)) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_eq_int W) Z))))
% 13.98/14.28 (assume a5769 (forall ((W tptp.int) (Z tptp.int)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real W)) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_int W) Z))))
% 13.98/14.28 (assume a5770 (forall ((W tptp.int) (Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int W)) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_int W) Z))))
% 13.98/14.28 (assume a5771 (= (@ tptp.ring_17405671764205052669omplex tptp.one_one_int) tptp.one_one_complex))
% 13.98/14.28 (assume a5772 (= (@ tptp.ring_1_of_int_int tptp.one_one_int) tptp.one_one_int))
% 13.98/14.28 (assume a5773 (= (@ tptp.ring_1_of_int_real tptp.one_one_int) tptp.one_one_real))
% 13.98/14.28 (assume a5774 (forall ((Z tptp.int)) (= (= (@ tptp.ring_17405671764205052669omplex Z) tptp.one_one_complex) (= Z tptp.one_one_int))))
% 13.98/14.28 (assume a5775 (forall ((Z tptp.int)) (= (= (@ tptp.ring_1_of_int_int Z) tptp.one_one_int) (= Z tptp.one_one_int))))
% 13.98/14.28 (assume a5776 (forall ((Z tptp.int)) (= (= (@ tptp.ring_1_of_int_real Z) tptp.one_one_real) (= Z tptp.one_one_int))))
% 13.98/14.28 (assume a5777 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.ring_17405671764205052669omplex (@ (@ tptp.times_times_int W) Z)) (@ (@ tptp.times_times_complex (@ tptp.ring_17405671764205052669omplex W)) (@ tptp.ring_17405671764205052669omplex Z)))))
% 13.98/14.28 (assume a5778 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int W) Z)) (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real W)) (@ tptp.ring_1_of_int_real Z)))))
% 13.98/14.28 (assume a5779 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.ring_1_of_int_int (@ (@ tptp.times_times_int W) Z)) (@ (@ tptp.times_times_int (@ tptp.ring_1_of_int_int W)) (@ tptp.ring_1_of_int_int Z)))))
% 13.98/14.28 (assume a5780 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.ring_17405671764205052669omplex (@ (@ tptp.plus_plus_int W) Z)) (@ (@ tptp.plus_plus_complex (@ tptp.ring_17405671764205052669omplex W)) (@ tptp.ring_17405671764205052669omplex Z)))))
% 13.98/14.28 (assume a5781 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.ring_1_of_int_int (@ (@ tptp.plus_plus_int W) Z)) (@ (@ tptp.plus_plus_int (@ tptp.ring_1_of_int_int W)) (@ tptp.ring_1_of_int_int Z)))))
% 13.98/14.28 (assume a5782 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int W) Z)) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real W)) (@ tptp.ring_1_of_int_real Z)))))
% 13.98/14.28 (assume a5783 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (= (@ tptp.ring_1_of_int_real X) (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real B)) W)) (= X (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5784 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (= (@ tptp.ring_1_of_int_int X) (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int B)) W)) (= X (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5785 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (= (@ tptp.ring_17405671764205052669omplex X) (@ (@ tptp.power_power_complex (@ tptp.ring_17405671764205052669omplex B)) W)) (= X (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5786 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (= (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real B)) W) (@ tptp.ring_1_of_int_real X)) (= (@ (@ tptp.power_power_int B) W) X))))
% 13.98/14.28 (assume a5787 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (= (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int B)) W) (@ tptp.ring_1_of_int_int X)) (= (@ (@ tptp.power_power_int B) W) X))))
% 13.98/14.28 (assume a5788 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (= (@ (@ tptp.power_power_complex (@ tptp.ring_17405671764205052669omplex B)) W) (@ tptp.ring_17405671764205052669omplex X)) (= (@ (@ tptp.power_power_int B) W) X))))
% 13.98/14.28 (assume a5789 (forall ((Z tptp.int) (N2 tptp.nat)) (= (@ tptp.ring_1_of_int_real (@ (@ tptp.power_power_int Z) N2)) (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real Z)) N2))))
% 13.98/14.28 (assume a5790 (forall ((Z tptp.int) (N2 tptp.nat)) (= (@ tptp.ring_1_of_int_int (@ (@ tptp.power_power_int Z) N2)) (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int Z)) N2))))
% 13.98/14.28 (assume a5791 (forall ((Z tptp.int) (N2 tptp.nat)) (= (@ tptp.ring_17405671764205052669omplex (@ (@ tptp.power_power_int Z) N2)) (@ (@ tptp.power_power_complex (@ tptp.ring_17405671764205052669omplex Z)) N2))))
% 13.98/14.28 (assume a5792 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.arctan X)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a5793 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.arctan X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5794 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.arctan X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5795 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.arctan X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a5796 (= (@ tptp.neg_nu8557863876264182079omplex tptp.zero_zero_complex) tptp.one_one_complex))
% 13.98/14.28 (assume a5797 (= (@ tptp.neg_nu8295874005876285629c_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.28 (assume a5798 (= (@ tptp.neg_nu5851722552734809277nc_int tptp.zero_zero_int) tptp.one_one_int))
% 13.98/14.28 (assume a5799 (= (@ tptp.neg_nu8295874005876285629c_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.28 (assume a5800 (= (@ tptp.neg_nu5851722552734809277nc_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int tptp.one_one_int)))
% 13.98/14.28 (assume a5801 (= (@ tptp.neg_nu8557863876264182079omplex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 13.98/14.28 (assume a5802 (= (@ tptp.neg_nu5831290666863070958nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 13.98/14.28 (assume a5803 (forall ((K tptp.num)) (= (@ tptp.neg_nu8557863876264182079omplex (@ tptp.numera6690914467698888265omplex K)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 K)))))
% 13.98/14.28 (assume a5804 (forall ((K tptp.num)) (= (@ tptp.neg_nu8295874005876285629c_real (@ tptp.numeral_numeral_real K)) (@ tptp.numeral_numeral_real (@ tptp.bit1 K)))))
% 13.98/14.28 (assume a5805 (forall ((K tptp.num)) (= (@ tptp.neg_nu5851722552734809277nc_int (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))))
% 13.98/14.28 (assume a5806 (forall ((K tptp.num)) (= (@ tptp.neg_nu6511756317524482435omplex (@ tptp.numera6690914467698888265omplex K)) (@ tptp.numera6690914467698888265omplex (@ tptp.bitM K)))))
% 13.98/14.28 (assume a5807 (forall ((K tptp.num)) (= (@ tptp.neg_nu6075765906172075777c_real (@ tptp.numeral_numeral_real K)) (@ tptp.numeral_numeral_real (@ tptp.bitM K)))))
% 13.98/14.28 (assume a5808 (forall ((K tptp.num)) (= (@ tptp.neg_nu3811975205180677377ec_int (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_int (@ tptp.bitM K)))))
% 13.98/14.28 (assume a5809 (forall ((K tptp.num)) (= (@ tptp.pred_numeral (@ tptp.bit0 K)) (@ tptp.numeral_numeral_nat (@ tptp.bitM K)))))
% 13.98/14.28 (assume a5810 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_int Z) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5811 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int Z)) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int Z) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5812 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z))))
% 13.98/14.28 (assume a5813 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z))))
% 13.98/14.28 (assume a5814 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z))))
% 13.98/14.28 (assume a5815 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z))))
% 13.98/14.28 (assume a5816 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real Z)) tptp.zero_zero_real) (@ (@ tptp.ord_less_int Z) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5817 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int Z)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int Z) tptp.zero_zero_int))))
% 13.98/14.28 (assume a5818 (forall ((N2 tptp.num) (Z tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real N2)) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int N2)) Z))))
% 13.98/14.28 (assume a5819 (forall ((N2 tptp.num) (Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int N2)) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int N2)) Z))))
% 13.98/14.28 (assume a5820 (forall ((Z tptp.int) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z)) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.ord_less_eq_int Z) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5821 (forall ((Z tptp.int) (N2 tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int Z)) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.ord_less_eq_int Z) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5822 (forall ((Z tptp.int) (N2 tptp.num)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real Z)) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.ord_less_int Z) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5823 (forall ((Z tptp.int) (N2 tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int Z)) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.ord_less_int Z) (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a5824 (forall ((N2 tptp.num) (Z tptp.int)) (= (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real N2)) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int N2)) Z))))
% 13.98/14.28 (assume a5825 (forall ((N2 tptp.num) (Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int N2)) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int N2)) Z))))
% 13.98/14.28 (assume a5826 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) Z))))
% 13.98/14.28 (assume a5827 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) Z))))
% 13.98/14.28 (assume a5828 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_int Z) tptp.one_one_int))))
% 13.98/14.28 (assume a5829 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int Z)) tptp.one_one_int) (@ (@ tptp.ord_less_eq_int Z) tptp.one_one_int))))
% 13.98/14.28 (assume a5830 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.ring_1_of_int_real Z)) (@ (@ tptp.ord_less_int tptp.one_one_int) Z))))
% 13.98/14.28 (assume a5831 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_int tptp.one_one_int) (@ tptp.ring_1_of_int_int Z)) (@ (@ tptp.ord_less_int tptp.one_one_int) Z))))
% 13.98/14.28 (assume a5832 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real) (@ (@ tptp.ord_less_int Z) tptp.one_one_int))))
% 13.98/14.28 (assume a5833 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int Z)) tptp.one_one_int) (@ (@ tptp.ord_less_int Z) tptp.one_one_int))))
% 13.98/14.28 (assume a5834 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex X)) N2) (@ tptp.ring_17405671764205052669omplex Y)) (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2) Y))))
% 13.98/14.28 (assume a5835 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2) (@ tptp.ring_1_of_int_real Y)) (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2) Y))))
% 13.98/14.28 (assume a5836 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2) (@ tptp.ring_1_of_int_int Y)) (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2) Y))))
% 13.98/14.28 (assume a5837 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_17405671764205052669omplex Y) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex X)) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5838 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_1_of_int_real Y) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5839 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_1_of_int_int Y) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5840 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real X)) (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real B)) W)) (@ (@ tptp.ord_less_eq_int X) (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5841 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int X)) (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int B)) W)) (@ (@ tptp.ord_less_eq_int X) (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5842 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real B)) W)) (@ tptp.ring_1_of_int_real X)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int B) W)) X))))
% 13.98/14.28 (assume a5843 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int B)) W)) (@ tptp.ring_1_of_int_int X)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int B) W)) X))))
% 13.98/14.28 (assume a5844 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real B)) W)) (@ tptp.ring_1_of_int_real X)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int B) W)) X))))
% 13.98/14.28 (assume a5845 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int B)) W)) (@ tptp.ring_1_of_int_int X)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int B) W)) X))))
% 13.98/14.28 (assume a5846 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real X)) (@ (@ tptp.power_power_real (@ tptp.ring_1_of_int_real B)) W)) (@ (@ tptp.ord_less_int X) (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5847 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int X)) (@ (@ tptp.power_power_int (@ tptp.ring_1_of_int_int B)) W)) (@ (@ tptp.ord_less_int X) (@ (@ tptp.power_power_int B) W)))))
% 13.98/14.28 (assume a5848 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) A))))
% 13.98/14.28 (assume a5849 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) A))))
% 13.98/14.28 (assume a5850 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5851 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5852 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) A))))
% 13.98/14.28 (assume a5853 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) A))))
% 13.98/14.28 (assume a5854 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5855 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 13.98/14.28 (assume a5856 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_1_of_int_real Y) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real X))) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5857 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_1_of_int_int Y) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5858 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_17405671764205052669omplex Y) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex X))) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5859 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.ring_18347121197199848620nteger Y) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger X))) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5860 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real X))) N2) (@ tptp.ring_1_of_int_real Y)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2) Y))))
% 13.98/14.28 (assume a5861 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2) (@ tptp.ring_1_of_int_int Y)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2) Y))))
% 13.98/14.28 (assume a5862 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex X))) N2) (@ tptp.ring_17405671764205052669omplex Y)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2) Y))))
% 13.98/14.28 (assume a5863 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger X))) N2) (@ tptp.ring_18347121197199848620nteger Y)) (= (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2) Y))))
% 13.98/14.28 (assume a5864 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real X))) N2)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5865 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.ring_18347121197199848620nteger A)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger X))) N2)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5866 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5867 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real X))) N2)) (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) A))))
% 13.98/14.28 (assume a5868 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger X))) N2)) (@ tptp.ring_18347121197199848620nteger A)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) A))))
% 13.98/14.28 (assume a5869 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) A))))
% 13.98/14.28 (assume a5870 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real X))) N2)) (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) A))))
% 13.98/14.28 (assume a5871 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) A))))
% 13.98/14.28 (assume a5872 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger X))) N2)) (@ tptp.ring_18347121197199848620nteger A)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) A))))
% 13.98/14.28 (assume a5873 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real X))) N2)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5874 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int (@ tptp.ring_1_of_int_int A)) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5875 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.ring_18347121197199848620nteger A)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger X))) N2)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int X))) N2)))))
% 13.98/14.28 (assume a5876 (forall ((X tptp.int) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.ring_17405671764205052669omplex X)) Y) (@ (@ tptp.times_times_complex Y) (@ tptp.ring_17405671764205052669omplex X)))))
% 13.98/14.28 (assume a5877 (forall ((X tptp.int) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real X)) Y) (@ (@ tptp.times_times_real Y) (@ tptp.ring_1_of_int_real X)))))
% 13.98/14.28 (assume a5878 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.ring_1_of_int_int X)) Y) (@ (@ tptp.times_times_int Y) (@ tptp.ring_1_of_int_int X)))))
% 13.98/14.28 (assume a5879 (forall ((X tptp.int) (Y tptp.int)) (= (@ tptp.ring_1_of_int_real (@ (@ tptp.ord_max_int X) Y)) (@ (@ tptp.ord_max_real (@ tptp.ring_1_of_int_real X)) (@ tptp.ring_1_of_int_real Y)))))
% 13.98/14.28 (assume a5880 (forall ((X tptp.int) (Y tptp.int)) (= (@ tptp.ring_1_of_int_int (@ (@ tptp.ord_max_int X) Y)) (@ (@ tptp.ord_max_int (@ tptp.ring_1_of_int_int X)) (@ tptp.ring_1_of_int_int Y)))))
% 13.98/14.28 (assume a5881 (forall ((X tptp.int) (Y tptp.int)) (= (@ tptp.ring_18347121197199848620nteger (@ (@ tptp.ord_max_int X) Y)) (@ (@ tptp.ord_max_Code_integer (@ tptp.ring_18347121197199848620nteger X)) (@ tptp.ring_18347121197199848620nteger Y)))))
% 13.98/14.28 (assume a5882 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ tptp.arctan X)) (@ tptp.arctan Y)))))
% 13.98/14.28 (assume a5883 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.arctan X)) (@ tptp.arctan Y)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.28 (assume a5884 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ tptp.arctan X)) (@ tptp.arctan Y)))))
% 13.98/14.28 (assume a5885 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.arctan X)) (@ tptp.arctan Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.28 (assume a5886 (= (@ tptp.bitM tptp.one) tptp.one))
% 13.98/14.28 (assume a5887 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.ring_1_of_int_int K)) (@ tptp.ring_1_of_int_int (@ (@ tptp.bit_se2923211474154528505it_int N2) K)))))
% 13.98/14.28 (assume a5888 (forall ((N2 tptp.num)) (= (@ tptp.bitM (@ tptp.bit1 N2)) (@ tptp.bit1 (@ tptp.bit0 N2)))))
% 13.98/14.28 (assume a5889 (forall ((N2 tptp.num)) (= (@ tptp.bitM (@ tptp.bit0 N2)) (@ tptp.bit1 (@ tptp.bitM N2)))))
% 13.98/14.28 (assume a5890 (forall ((N2 tptp.num)) (= (@ tptp.inc (@ tptp.bitM N2)) (@ tptp.bit0 N2))))
% 13.98/14.28 (assume a5891 (forall ((N2 tptp.num)) (= (@ tptp.bitM (@ tptp.inc N2)) (@ tptp.bit1 N2))))
% 13.98/14.28 (assume a5892 (forall ((N2 tptp.int) (X tptp.int)) (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int N2) X))) (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real N2)) (@ tptp.ring_1_of_int_real X)))))
% 13.98/14.28 (assume a5893 (forall ((D tptp.int) (N2 tptp.int)) (=> (@ (@ tptp.dvd_dvd_int D) N2) (= (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int N2) D)) (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real N2)) (@ tptp.ring_1_of_int_real D))))))
% 13.98/14.28 (assume a5894 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_nat (@ tptp.bit0 N2)) (@ tptp.suc (@ tptp.numeral_numeral_nat (@ tptp.bitM N2))))))
% 13.98/14.28 (assume a5895 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_num (@ tptp.bitM N2)) tptp.one) (@ tptp.bit0 N2))))
% 13.98/14.28 (assume a5896 (forall ((N2 tptp.num)) (= (@ (@ tptp.plus_plus_num tptp.one) (@ tptp.bitM N2)) (@ tptp.bit0 N2))))
% 13.98/14.28 (assume a5897 (forall ((Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.ring_1_of_int_real Z)))))
% 13.98/14.28 (assume a5898 (forall ((Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.ring_1_of_int_int Z)))))
% 13.98/14.28 (assume a5899 (forall ((N2 tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.ring_1_of_int_real N2))) X) (or (= N2 tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 13.98/14.28 (assume a5900 (forall ((N2 tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ tptp.ring_1_of_int_int N2))) X) (or (= N2 tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) X)))))
% 13.98/14.28 (assume a5901 (forall ((Z tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.ring_1_of_int_real Z)))))
% 13.98/14.28 (assume a5902 (forall ((Z tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.ring_1_of_int_int Z)))))
% 13.98/14.28 (assume a5903 (forall ((N2 tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ tptp.ring_1_of_int_real N2))) X) (or (= N2 tptp.zero_zero_int) (@ (@ tptp.ord_less_real tptp.one_one_real) X)))))
% 13.98/14.28 (assume a5904 (forall ((N2 tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_int (@ tptp.abs_abs_int (@ tptp.ring_1_of_int_int N2))) X) (or (= N2 tptp.zero_zero_int) (@ (@ tptp.ord_less_int tptp.one_one_int) X)))))
% 13.98/14.28 (assume a5905 (forall ((K tptp.num)) (= (@ tptp.ring_1_of_int_real (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real K)))))
% 13.98/14.28 (assume a5906 (forall ((K tptp.num)) (= (@ tptp.ring_1_of_int_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K)))))
% 13.98/14.28 (assume a5907 (forall ((K tptp.num)) (= (@ tptp.ring_17405671764205052669omplex (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex K)))))
% 13.98/14.28 (assume a5908 (forall ((K tptp.num)) (= (@ tptp.ring_18347121197199848620nteger (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))) (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger K)))))
% 13.98/14.28 (assume a5909 (= tptp.ord_less_eq_int (lambda ((N tptp.int) (M6 tptp.int)) (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real N)) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real M6)) tptp.one_one_real)))))
% 13.98/14.28 (assume a5910 (= tptp.ord_less_int (lambda ((N tptp.int) (M6 tptp.int)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real N)) tptp.one_one_real)) (@ tptp.ring_1_of_int_real M6)))))
% 13.98/14.28 (assume a5911 (= tptp.neg_nu8557863876264182079omplex (lambda ((X2 tptp.complex)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex X2) X2)) tptp.one_one_complex))))
% 13.98/14.28 (assume a5912 (= tptp.neg_nu8295874005876285629c_real (lambda ((X2 tptp.real)) (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real X2) X2)) tptp.one_one_real))))
% 13.98/14.28 (assume a5913 (= tptp.neg_nu5851722552734809277nc_int (lambda ((X2 tptp.int)) (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int X2) X2)) tptp.one_one_int))))
% 13.98/14.28 (assume a5914 (forall ((X tptp.int) (D tptp.int)) (= (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real X)) (@ tptp.ring_1_of_int_real D)) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int X) D))) (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.modulo_modulo_int X) D))) (@ tptp.ring_1_of_int_real D))))))
% 13.98/14.28 (assume a5915 (forall ((N2 tptp.num)) (= (@ tptp.numera6690914467698888265omplex (@ tptp.bitM N2)) (@ (@ tptp.minus_minus_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 N2))) tptp.one_one_complex))))
% 13.98/14.28 (assume a5916 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_real (@ tptp.bitM N2)) (@ (@ tptp.minus_minus_real (@ tptp.numeral_numeral_real (@ tptp.bit0 N2))) tptp.one_one_real))))
% 13.98/14.28 (assume a5917 (forall ((N2 tptp.num)) (= (@ tptp.numeral_numeral_int (@ tptp.bitM N2)) (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))) tptp.one_one_int))))
% 13.98/14.28 (assume a5918 (forall ((W tptp.num)) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.numera6620942414471956472nteger (@ tptp.bitM W))))))
% 13.98/14.28 (assume a5919 (forall ((W tptp.num)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat (@ tptp.bitM W))))))
% 13.98/14.28 (assume a5920 (forall ((W tptp.num)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_int (@ tptp.bitM W))))))
% 13.98/14.28 (assume a5921 (forall ((N2 tptp.int) (X tptp.int)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real N2)) (@ tptp.ring_1_of_int_real X))) (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int N2) X))))))
% 13.98/14.28 (assume a5922 (forall ((N2 tptp.int) (X tptp.int)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real N2)) (@ tptp.ring_1_of_int_real X))) (@ tptp.ring_1_of_int_real (@ (@ tptp.divide_divide_int N2) X)))) tptp.one_one_real)))
% 13.98/14.28 (assume a5923 (forall ((K tptp.int)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.ring_18347121197199848620nteger K)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K))))
% 13.98/14.28 (assume a5924 (forall ((K tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.ring_1_of_int_int K)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K))))
% 13.98/14.28 (assume a5925 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ (@ tptp.plus_plus_real (@ tptp.arctan X)) (@ tptp.arctan Y)) (@ tptp.arctan (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.times_times_real X) Y)))))))))
% 13.98/14.28 (assume a5926 (forall ((X tptp.real)) (exists ((X5 tptp.int)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real X5)) X) (@ (@ tptp.ord_less_real X) (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int X5) tptp.one_one_int))) (forall ((Y2 tptp.int)) (=> (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Y2)) X) (@ (@ tptp.ord_less_real X) (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int Y2) tptp.one_one_int)))) (= Y2 X5)))))))
% 13.98/14.28 (assume a5927 (forall ((X tptp.real)) (exists ((Z4 tptp.int)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z4)) X) (@ (@ tptp.ord_less_real X) (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int Z4) tptp.one_one_int)))))))
% 13.98/14.28 (assume a5928 (forall ((N2 tptp.num)) (= (@ tptp.bit_se2002935070580805687sk_nat (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2002935070580805687sk_nat (@ tptp.pred_numeral N2)))))))
% 13.98/14.28 (assume a5929 (forall ((N2 tptp.num)) (= (@ tptp.bit_se2000444600071755411sk_int (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2000444600071755411sk_int (@ tptp.pred_numeral N2)))))))
% 13.98/14.28 (assume a5930 (= tptp.tanh_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ tptp.exp_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X2)))) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.exp_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X2)))))))
% 13.98/14.28 (assume a5931 (= tptp.bit_se725231765392027082nd_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ (@ tptp.if_int (or (= K3 tptp.zero_zero_int) (= L tptp.zero_zero_int))) tptp.zero_zero_int) (@ (@ (@ tptp.if_int (= K3 (@ tptp.uminus_uminus_int tptp.one_one_int))) L) (@ (@ (@ tptp.if_int (= L (@ tptp.uminus_uminus_int tptp.one_one_int))) K3) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a5932 (= tptp.bit_se1409905431419307370or_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ (@ tptp.if_int (or (= K3 (@ tptp.uminus_uminus_int tptp.one_one_int)) (= L (@ tptp.uminus_uminus_int tptp.one_one_int)))) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ (@ tptp.if_int (= K3 tptp.zero_zero_int)) L) (@ (@ (@ tptp.if_int (= L tptp.zero_zero_int)) K3) (@ (@ tptp.plus_plus_int (@ (@ tptp.ord_max_int (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a5933 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.bit_se725231765392027082nd_int A) B)) B) (@ (@ tptp.bit_se725231765392027082nd_int A) B))))
% 13.98/14.28 (assume a5934 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ (@ tptp.bit_se727722235901077358nd_nat A) B)) B) (@ (@ tptp.bit_se727722235901077358nd_nat A) B))))
% 13.98/14.28 (assume a5935 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int A) (@ (@ tptp.bit_se725231765392027082nd_int A) B)) (@ (@ tptp.bit_se725231765392027082nd_int A) B))))
% 13.98/14.28 (assume a5936 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat A) (@ (@ tptp.bit_se727722235901077358nd_nat A) B)) (@ (@ tptp.bit_se727722235901077358nd_nat A) B))))
% 13.98/14.28 (assume a5937 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int A) A) A)))
% 13.98/14.28 (assume a5938 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat A) A) A)))
% 13.98/14.28 (assume a5939 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se1409905431419307370or_int A) B)) B) (@ (@ tptp.bit_se1409905431419307370or_int A) B))))
% 13.98/14.28 (assume a5940 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ (@ tptp.bit_se1412395901928357646or_nat A) B)) B) (@ (@ tptp.bit_se1412395901928357646or_nat A) B))))
% 13.98/14.28 (assume a5941 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int A) (@ (@ tptp.bit_se1409905431419307370or_int A) B)) (@ (@ tptp.bit_se1409905431419307370or_int A) B))))
% 13.98/14.28 (assume a5942 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat A) (@ (@ tptp.bit_se1412395901928357646or_nat A) B)) (@ (@ tptp.bit_se1412395901928357646or_nat A) B))))
% 13.98/14.28 (assume a5943 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int A) A) A)))
% 13.98/14.28 (assume a5944 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat A) A) A)))
% 13.98/14.28 (assume a5945 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.bit_se2002935070580805687sk_nat N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.28 (assume a5946 (forall ((X tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int X) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.28 (assume a5947 (forall ((X tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) X) tptp.zero_zero_int)))
% 13.98/14.28 (assume a5948 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 13.98/14.28 (assume a5949 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 13.98/14.28 (assume a5950 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 13.98/14.28 (assume a5951 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 13.98/14.28 (assume a5952 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int A) tptp.zero_zero_int) A)))
% 13.98/14.28 (assume a5953 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat A) tptp.zero_zero_nat) A)))
% 13.98/14.28 (assume a5954 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.zero_zero_int) A) A)))
% 13.98/14.28 (assume a5955 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat tptp.zero_zero_nat) A) A)))
% 13.98/14.28 (assume a5956 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ tptp.exp_real X)) (@ tptp.exp_real Y)))))
% 13.98/14.28 (assume a5957 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.exp_real X)) (@ tptp.exp_real Y)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.28 (assume a5958 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se725231765392027082nd_int A) B)) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.bit_se2923211474154528505it_int N2) A)) (@ (@ tptp.bit_se2923211474154528505it_int N2) B)))))
% 13.98/14.28 (assume a5959 (forall ((N2 tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se727722235901077358nd_nat A) B)) (@ (@ tptp.bit_se727722235901077358nd_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) B)))))
% 13.98/14.28 (assume a5960 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real X)) (@ tptp.exp_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.28 (assume a5961 (forall ((N2 tptp.nat) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.bit_se1409905431419307370or_int A) B)) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se2923211474154528505it_int N2) A)) (@ (@ tptp.bit_se2923211474154528505it_int N2) B)))))
% 13.98/14.28 (assume a5962 (forall ((N2 tptp.nat) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ (@ tptp.bit_se1412395901928357646or_nat A) B)) (@ (@ tptp.bit_se1412395901928357646or_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) A)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) B)))))
% 13.98/14.28 (assume a5963 (= (@ tptp.exp_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 13.98/14.28 (assume a5964 (= (@ tptp.exp_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.28 (assume a5965 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se3949692690581998587nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) A) A)))
% 13.98/14.28 (assume a5966 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.uminus_uminus_int tptp.one_one_int)) A) A)))
% 13.98/14.28 (assume a5967 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se3949692690581998587nteger A) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) A)))
% 13.98/14.28 (assume a5968 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int A) (@ tptp.uminus_uminus_int tptp.one_one_int)) A)))
% 13.98/14.28 (assume a5969 (forall ((X tptp.code_integer)) (= (@ (@ tptp.bit_se3949692690581998587nteger X) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X)))
% 13.98/14.28 (assume a5970 (forall ((X tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int X) (@ tptp.uminus_uminus_int tptp.one_one_int)) X)))
% 13.98/14.28 (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))))
% 13.98/14.28 (assume a5972 (forall ((X tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.uminus_uminus_int tptp.one_one_int)) X) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.28 (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))))
% 13.98/14.28 (assume a5974 (forall ((X tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int X) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 13.98/14.28 (assume a5975 (forall ((N2 tptp.nat)) (= (= (@ tptp.bit_se2002935070580805687sk_nat N2) tptp.zero_zero_nat) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a5976 (forall ((N2 tptp.nat)) (= (= (@ tptp.bit_se2000444600071755411sk_int N2) tptp.zero_zero_int) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a5977 (= (@ tptp.bit_se2002935070580805687sk_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 13.98/14.28 (assume a5978 (= (@ tptp.bit_se2000444600071755411sk_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 13.98/14.28 (assume a5979 (forall ((X tptp.real)) (= (= (@ tptp.exp_real X) tptp.one_one_real) (= X tptp.zero_zero_real))))
% 13.98/14.28 (assume a5980 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se725231765392027082nd_int K) L2)) (or (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) L2)))))
% 13.98/14.28 (assume a5981 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se725231765392027082nd_int K) L2)) tptp.zero_zero_int) (and (@ (@ tptp.ord_less_int K) tptp.zero_zero_int) (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int)))))
% 13.98/14.28 (assume a5982 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se1409905431419307370or_int K) L2)) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) L2)))))
% 13.98/14.28 (assume a5983 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se1409905431419307370or_int K) L2)) tptp.zero_zero_int) (or (@ (@ tptp.ord_less_int K) tptp.zero_zero_int) (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int)))))
% 13.98/14.28 (assume a5984 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y))) tptp.one_one_int)))
% 13.98/14.28 (assume a5985 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) tptp.one_one_nat)))
% 13.98/14.28 (assume a5986 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit1 X))) tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.28 (assume a5987 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) tptp.one_one_nat) tptp.one_one_nat)))
% 13.98/14.28 (assume a5988 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y))) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y)))))
% 13.98/14.28 (assume a5989 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y)))))
% 13.98/14.28 (assume a5990 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit1 X))) tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit1 X)))))
% 13.98/14.28 (assume a5991 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit1 X)))))
% 13.98/14.28 (assume a5992 (= (@ tptp.bit_se2002935070580805687sk_nat (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 13.98/14.28 (assume a5993 (= (@ tptp.bit_se2000444600071755411sk_int (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 13.98/14.28 (assume a5994 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.exp_real X)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a5995 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.exp_real X)) tptp.one_one_real) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5996 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.exp_real X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a5997 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real X)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a5998 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1745604003318907178nteger N2) (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (@ tptp.bit_se2119862282449309892nteger N2))))
% 13.98/14.28 (assume a5999 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.bit_se2000444600071755411sk_int N2))))
% 13.98/14.28 (assume a6000 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.exp_real (@ tptp.ln_ln_real X)) X))))
% 13.98/14.28 (assume a6001 (forall ((X tptp.real)) (= (= (@ tptp.exp_real (@ tptp.ln_ln_real X)) X) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a6002 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 Y))) tptp.zero_zero_int)))
% 13.98/14.28 (assume a6003 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) tptp.zero_zero_nat)))
% 13.98/14.28 (assume a6004 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 X))) tptp.one_one_int) tptp.zero_zero_int)))
% 13.98/14.28 (assume a6005 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) tptp.one_one_nat) tptp.zero_zero_nat)))
% 13.98/14.28 (assume a6006 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 X))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Y))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y))))))
% 13.98/14.28 (assume a6007 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y))))))
% 13.98/14.28 (assume a6008 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit0 X))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Y))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y))))))
% 13.98/14.28 (assume a6009 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y))))))
% 13.98/14.28 (assume a6010 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 Y))) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y)))))
% 13.98/14.28 (assume a6011 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y)))))
% 13.98/14.28 (assume a6012 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit0 X))) tptp.one_one_int) (@ tptp.numeral_numeral_int (@ tptp.bit1 X)))))
% 13.98/14.28 (assume a6013 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) tptp.one_one_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit1 X)))))
% 13.98/14.28 (assume a6014 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) tptp.one_one_int)))
% 13.98/14.28 (assume a6015 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) tptp.one_one_int) tptp.one_one_int)))
% 13.98/14.28 (assume a6016 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))))))
% 13.98/14.28 (assume a6017 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2))))))
% 13.98/14.28 (assume a6018 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 X))) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y))))))
% 13.98/14.28 (assume a6019 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y))))))
% 13.98/14.28 (assume a6020 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit1 X))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Y))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y))))))
% 13.98/14.28 (assume a6021 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y))))))
% 13.98/14.28 (assume a6022 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) tptp.one_one_int) tptp.zero_zero_int)))
% 13.98/14.28 (assume a6023 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) tptp.zero_zero_int)))
% 13.98/14.28 (assume a6024 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit1 X))) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y)))))))
% 13.98/14.28 (assume a6025 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y)))))))
% 13.98/14.28 (assume a6026 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit0 X))) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y)))))))
% 13.98/14.28 (assume a6027 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y)))))))
% 13.98/14.28 (assume a6028 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit1 X))) (@ tptp.numeral_numeral_int (@ tptp.bit0 Y))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y)))))))
% 13.98/14.28 (assume a6029 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y)))))))
% 13.98/14.28 (assume a6030 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit1 X))) (@ tptp.numeral_numeral_int (@ tptp.bit1 Y))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int X)) (@ tptp.numeral_numeral_int Y)))))))
% 13.98/14.28 (assume a6031 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat X)) (@ tptp.numeral_numeral_nat Y)))))))
% 13.98/14.28 (assume a6032 (forall ((K tptp.int) (L2 tptp.int)) (= (@ tptp.ring_1_of_int_int (@ (@ tptp.bit_se1409905431419307370or_int K) L2)) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.ring_1_of_int_int K)) (@ tptp.ring_1_of_int_int L2)))))
% 13.98/14.28 (assume a6033 (forall ((K tptp.int) (L2 tptp.int)) (= (@ tptp.ring_1_of_int_int (@ (@ tptp.bit_se725231765392027082nd_int K) L2)) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.ring_1_of_int_int K)) (@ tptp.ring_1_of_int_int L2)))))
% 13.98/14.28 (assume a6034 (forall ((N2 tptp.nat)) (= (@ tptp.ring_1_of_int_int (@ tptp.bit_se2000444600071755411sk_int N2)) (@ tptp.bit_se2000444600071755411sk_int N2))))
% 13.98/14.28 (assume a6035 (= tptp.bit_se2923211474154528505it_int (lambda ((N tptp.nat) (A4 tptp.int)) (@ (@ tptp.bit_se725231765392027082nd_int A4) (@ tptp.bit_se2000444600071755411sk_int N)))))
% 13.98/14.28 (assume a6036 (= tptp.bit_se2925701944663578781it_nat (lambda ((N tptp.nat) (A4 tptp.nat)) (@ (@ tptp.bit_se727722235901077358nd_nat A4) (@ tptp.bit_se2002935070580805687sk_nat N)))))
% 13.98/14.28 (assume a6037 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se725231765392027082nd_int Y) Z)) X) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.bit_se1409905431419307370or_int Y) X)) (@ (@ tptp.bit_se1409905431419307370or_int Z) X)))))
% 13.98/14.28 (assume a6038 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.bit_se1409905431419307370or_int Y) Z)) X) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se725231765392027082nd_int Y) X)) (@ (@ tptp.bit_se725231765392027082nd_int Z) X)))))
% 13.98/14.28 (assume a6039 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int X) (@ (@ tptp.bit_se725231765392027082nd_int Y) Z)) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.bit_se1409905431419307370or_int X) Y)) (@ (@ tptp.bit_se1409905431419307370or_int X) Z)))))
% 13.98/14.28 (assume a6040 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int X) (@ (@ tptp.bit_se1409905431419307370or_int Y) Z)) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se725231765392027082nd_int X) Y)) (@ (@ tptp.bit_se725231765392027082nd_int X) Z)))))
% 13.98/14.28 (assume a6041 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int B) (@ (@ tptp.bit_se725231765392027082nd_int A) C)) (@ (@ tptp.bit_se725231765392027082nd_int A) (@ (@ tptp.bit_se725231765392027082nd_int B) C)))))
% 13.98/14.28 (assume a6042 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat B) (@ (@ tptp.bit_se727722235901077358nd_nat A) C)) (@ (@ tptp.bit_se727722235901077358nd_nat A) (@ (@ tptp.bit_se727722235901077358nd_nat B) C)))))
% 13.98/14.28 (assume a6043 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int B) (@ (@ tptp.bit_se1409905431419307370or_int A) C)) (@ (@ tptp.bit_se1409905431419307370or_int A) (@ (@ tptp.bit_se1409905431419307370or_int B) C)))))
% 13.98/14.28 (assume a6044 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat B) (@ (@ tptp.bit_se1412395901928357646or_nat A) C)) (@ (@ tptp.bit_se1412395901928357646or_nat A) (@ (@ tptp.bit_se1412395901928357646or_nat B) C)))))
% 13.98/14.28 (assume a6045 (= tptp.bit_se725231765392027082nd_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.bit_se725231765392027082nd_int B4) A4))))
% 13.98/14.28 (assume a6046 (= tptp.bit_se727722235901077358nd_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.bit_se727722235901077358nd_nat B4) A4))))
% 13.98/14.28 (assume a6047 (= tptp.bit_se1409905431419307370or_int (lambda ((A4 tptp.int) (B4 tptp.int)) (@ (@ tptp.bit_se1409905431419307370or_int B4) A4))))
% 13.98/14.28 (assume a6048 (= tptp.bit_se1412395901928357646or_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.bit_se1412395901928357646or_nat B4) A4))))
% 13.98/14.28 (assume a6049 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.bit_se725231765392027082nd_int A) B)) C) (@ (@ tptp.bit_se725231765392027082nd_int A) (@ (@ tptp.bit_se725231765392027082nd_int B) C)))))
% 13.98/14.28 (assume a6050 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ (@ tptp.bit_se727722235901077358nd_nat A) B)) C) (@ (@ tptp.bit_se727722235901077358nd_nat A) (@ (@ tptp.bit_se727722235901077358nd_nat B) C)))))
% 13.98/14.28 (assume a6051 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se1409905431419307370or_int A) B)) C) (@ (@ tptp.bit_se1409905431419307370or_int A) (@ (@ tptp.bit_se1409905431419307370or_int B) C)))))
% 13.98/14.28 (assume a6052 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ (@ tptp.bit_se1412395901928357646or_nat A) B)) C) (@ (@ tptp.bit_se1412395901928357646or_nat A) (@ (@ tptp.bit_se1412395901928357646or_nat B) C)))))
% 13.98/14.28 (assume a6053 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.bit_se725231765392027082nd_int X) Y)) (@ (@ tptp.bit_se1409905431419307370or_int X) Y)) (@ (@ tptp.plus_plus_int X) Y))))
% 13.98/14.28 (assume a6054 (forall ((X tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int X) tptp.zero_zero_int) X)))
% 13.98/14.28 (assume a6055 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.bit_se1409905431419307370or_int A) B) tptp.zero_zero_int) (and (= A tptp.zero_zero_int) (= B tptp.zero_zero_int)))))
% 13.98/14.28 (assume a6056 (forall ((A tptp.nat) (B tptp.nat)) (= (= (@ (@ tptp.bit_se1412395901928357646or_nat A) B) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6057 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.exp_real X)) (@ tptp.exp_real Y)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.28 (assume a6058 (forall ((A2 tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.exp_complex A2)) A2) (@ (@ tptp.times_times_complex A2) (@ tptp.exp_complex A2)))))
% 13.98/14.28 (assume a6059 (forall ((A2 tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.exp_real A2)) A2) (@ (@ tptp.times_times_real A2) (@ tptp.exp_real A2)))))
% 13.98/14.28 (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)))))))
% 13.98/14.28 (assume a6061 (forall ((A tptp.int) (X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.bit_se725231765392027082nd_int A) X) tptp.zero_zero_int) (=> (= (@ (@ tptp.bit_se1409905431419307370or_int A) X) (@ tptp.uminus_uminus_int tptp.one_one_int)) (=> (= (@ (@ tptp.bit_se725231765392027082nd_int A) Y) tptp.zero_zero_int) (=> (= (@ (@ tptp.bit_se1409905431419307370or_int A) Y) (@ tptp.uminus_uminus_int tptp.one_one_int)) (= X Y)))))))
% 13.98/14.28 (assume a6062 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat N2) (@ tptp.bit_se2002935070580805687sk_nat N2))))
% 13.98/14.28 (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))))))
% 13.98/14.28 (assume a6064 (forall ((A tptp.int) (B tptp.int)) (= (= (@ (@ tptp.bit_se725231765392027082nd_int A) B) (@ tptp.uminus_uminus_int tptp.one_one_int)) (and (= A (@ tptp.uminus_uminus_int tptp.one_one_int)) (= B (@ tptp.uminus_uminus_int tptp.one_one_int))))))
% 13.98/14.28 (assume a6065 (forall ((X tptp.real)) (not (@ (@ tptp.ord_less_real (@ tptp.exp_real X)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6066 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.exp_real X))))
% 13.98/14.28 (assume a6067 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (exists ((X5 tptp.real)) (= (@ tptp.exp_real X5) Y)))))
% 13.98/14.28 (assume a6068 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.exp_real X))))
% 13.98/14.28 (assume a6069 (forall ((X tptp.real)) (not (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real X)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6070 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se1409905431419307370or_int X) Y))))))
% 13.98/14.28 (assume a6071 (forall ((L2 tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) L2) (@ (@ tptp.ord_less_eq_int K) (@ (@ tptp.bit_se1409905431419307370or_int K) L2)))))
% 13.98/14.28 (assume a6072 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se725231765392027082nd_int X) Y)))))
% 13.98/14.28 (assume a6073 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se725231765392027082nd_int X) Y)) X))))
% 13.98/14.28 (assume a6074 (forall ((Y tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se725231765392027082nd_int X) Y)) Y))))
% 13.98/14.28 (assume a6075 (forall ((Y tptp.int) (Z tptp.int) (Ya tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (=> (@ (@ tptp.ord_less_eq_int Y) Z) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se725231765392027082nd_int Y) Ya)) Z)))))
% 13.98/14.28 (assume a6076 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (=> (@ (@ tptp.ord_less_eq_int Y) Z) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se725231765392027082nd_int X) Y)) Z)))))
% 13.98/14.28 (assume a6077 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (@ (@ tptp.times_times_complex X) Y) (@ (@ tptp.times_times_complex Y) X)) (= (@ tptp.exp_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.times_times_complex (@ tptp.exp_complex X)) (@ tptp.exp_complex Y))))))
% 13.98/14.28 (assume a6078 (forall ((X tptp.real) (Y tptp.real)) (=> (= (@ (@ tptp.times_times_real X) Y) (@ (@ tptp.times_times_real Y) X)) (= (@ tptp.exp_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.times_times_real (@ tptp.exp_real X)) (@ tptp.exp_real Y))))))
% 13.98/14.28 (assume a6079 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.exp_complex X)) (@ tptp.exp_complex Y)) (@ tptp.exp_complex (@ (@ tptp.plus_plus_complex X) Y)))))
% 13.98/14.28 (assume a6080 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.exp_real X)) (@ tptp.exp_real Y)) (@ tptp.exp_real (@ (@ tptp.plus_plus_real X) Y)))))
% 13.98/14.28 (assume a6081 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.exp_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.divide_divide_real (@ tptp.exp_real X)) (@ tptp.exp_real Y)))))
% 13.98/14.28 (assume a6082 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.exp_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.exp_complex X)) (@ tptp.exp_complex Y)))))
% 13.98/14.28 (assume a6083 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.bit_se2000444600071755411sk_int N2))))
% 13.98/14.28 (assume a6084 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_int (@ tptp.bit_se2000444600071755411sk_int N2)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a6085 (forall ((N2 tptp.nat)) (= (@ tptp.bit_se2002935070580805687sk_nat (@ tptp.suc N2)) (@ (@ tptp.bit_se1412395901928357646or_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ tptp.bit_se2002935070580805687sk_nat N2)))))
% 13.98/14.28 (assume a6086 (forall ((N2 tptp.nat)) (= (@ tptp.bit_se2000444600071755411sk_int (@ tptp.suc N2)) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ tptp.bit_se2000444600071755411sk_int N2)))))
% 13.98/14.28 (assume a6087 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.exp_real X)))))
% 13.98/14.28 (assume a6088 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)) (@ tptp.exp_real X))))
% 13.98/14.28 (assume a6089 (forall ((L2 tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.bit_se725231765392027082nd_int K) L2)) K))))
% 13.98/14.28 (assume a6090 (forall ((Y tptp.int) (Z tptp.int) (Ya tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (=> (@ (@ tptp.ord_less_int Y) Z) (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se725231765392027082nd_int Y) Ya)) Z)))))
% 13.98/14.28 (assume a6091 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (=> (@ (@ tptp.ord_less_int Y) Z) (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se725231765392027082nd_int X) Y)) Z)))))
% 13.98/14.28 (assume a6092 (forall ((X tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.exp_real X)) (@ tptp.exp_real (@ tptp.uminus_uminus_real X))) tptp.one_one_real)))
% 13.98/14.28 (assume a6093 (forall ((X tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.exp_complex X)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex X))) tptp.one_one_complex)))
% 13.98/14.28 (assume a6094 (forall ((N2 tptp.nat)) (= (@ tptp.bit_se2002935070580805687sk_nat (@ tptp.suc N2)) (@ (@ tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2002935070580805687sk_nat N2))))))
% 13.98/14.28 (assume a6095 (forall ((N2 tptp.nat)) (= (@ tptp.bit_se2000444600071755411sk_int (@ tptp.suc N2)) (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2000444600071755411sk_int N2))))))
% 13.98/14.28 (assume a6096 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.ord_less_nat N2) (@ tptp.bit_se2002935070580805687sk_nat N2)))))
% 13.98/14.28 (assume a6097 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se3949692690581998587nteger A) B)) (or (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.28 (assume a6098 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int A) B)) (or (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.28 (assume a6099 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat A) B)) (or (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.28 (assume a6100 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1080825931792720795nteger A) B)) (and (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.28 (assume a6101 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int A) B)) (and (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.28 (assume a6102 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat A) B)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)))))
% 13.98/14.28 (assume a6103 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)) (@ tptp.exp_real X)))))
% 13.98/14.28 (assume a6104 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int K) L2)) (or (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L2)))))
% 13.98/14.28 (assume a6105 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) Y) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X5) (@ (@ tptp.ord_less_eq_real X5) (@ (@ tptp.minus_minus_real Y) tptp.one_one_real)) (= (@ tptp.exp_real X5) Y))))))
% 13.98/14.28 (assume a6106 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real Y) (@ tptp.ln_ln_real X)) (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real Y)) X)))))
% 13.98/14.28 (assume a6107 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real Y)) Y)) (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real X)) X))))))
% 13.98/14.28 (assume a6108 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) A) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6109 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) A) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6110 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se725231765392027082nd_int A) tptp.one_one_int) (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6111 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat A) tptp.one_one_nat) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6112 (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real tptp.one_one_real)) (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))))
% 13.98/14.28 (assume a6113 (forall ((N2 tptp.nat) (K tptp.int)) (= (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) (@ tptp.bit_se2000444600071755411sk_int N2)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ (@ tptp.plus_plus_int K) tptp.one_one_int)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a6114 (= tptp.tanh_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.exp_real X2)) (@ tptp.exp_real (@ tptp.uminus_uminus_real X2)))) (@ (@ tptp.plus_plus_real (@ tptp.exp_real X2)) (@ tptp.exp_real (@ tptp.uminus_uminus_real X2)))))))
% 13.98/14.28 (assume a6115 (= tptp.tanh_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.exp_complex X2)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex X2)))) (@ (@ tptp.plus_plus_complex (@ tptp.exp_complex X2)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex X2)))))))
% 13.98/14.28 (assume a6116 (forall ((N2 tptp.nat)) (= (@ tptp.suc (@ tptp.bit_se2002935070580805687sk_nat N2)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6117 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_nat (@ tptp.bit_se2002935070580805687sk_nat N2)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6118 (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.28 (assume a6119 (forall ((Z tptp.complex)) (= (@ tptp.exp_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) Z)) (@ (@ tptp.power_power_complex (@ tptp.exp_complex Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6120 (forall ((Z tptp.real)) (= (@ tptp.exp_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) Z)) (@ (@ tptp.power_power_real (@ tptp.exp_real Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6121 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2119862282449309892nteger N2)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6122 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2002935070580805687sk_nat N2)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6123 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2000444600071755411sk_int N2)) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6124 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se1080825931792720795nteger A) tptp.one_one_Code_integer) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6125 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int A) tptp.one_one_int) (@ (@ tptp.plus_plus_int A) (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6126 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat A) tptp.one_one_nat) (@ (@ tptp.plus_plus_nat A) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6127 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se1080825931792720795nteger tptp.one_one_Code_integer) A) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ tptp.zero_n356916108424825756nteger (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6128 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) A) (@ (@ tptp.plus_plus_int A) (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6129 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) A) (@ (@ tptp.plus_plus_nat A) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6130 (forall ((X tptp.int) (N2 tptp.nat) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_int X) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_int Y) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se1409905431419307370or_int X) Y)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))))
% 13.98/14.28 (assume a6131 (= tptp.bit_se1409905431419307370or_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (or (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K3)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6132 (= tptp.bit_se2002935070580805687sk_nat (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 13.98/14.28 (assume a6133 (= tptp.bit_se725231765392027082nd_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K3)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6134 (forall ((N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int (@ tptp.bit_se2000444600071755411sk_int N2)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_se2000444600071755411sk_int (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))
% 13.98/14.28 (assume a6135 (forall ((P (-> tptp.nat Bool))) (=> (not (@ P tptp.zero_zero_nat)) (=> (exists ((X_12 tptp.nat)) (@ P X_12)) (exists ((N4 tptp.nat)) (and (not (@ P N4)) (@ P (@ tptp.suc N4))))))))
% 13.98/14.28 (assume a6136 (= tptp.bit_se2000444600071755411sk_int (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 13.98/14.28 (assume a6137 (forall ((X tptp.real)) (exists ((Z4 tptp.int)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real Z4)))))
% 13.98/14.28 (assume a6138 (forall ((X tptp.real)) (exists ((Z4 tptp.int)) (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real Z4)) X))))
% 13.98/14.28 (assume a6139 (forall ((X tptp.real)) (exists ((Z4 tptp.int)) (@ (@ tptp.ord_less_real X) (@ tptp.ring_1_of_int_real Z4)))))
% 13.98/14.28 (assume a6140 (= tptp.bit_se2002935070580805687sk_nat (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 13.98/14.28 (assume a6141 (= tptp.bit_se2000444600071755411sk_int (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 13.98/14.28 (assume a6142 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real X)) (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6143 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.exp_real X)) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)))))))
% 13.98/14.28 (assume a6144 (forall ((N2 tptp.nat) (K tptp.int)) (= (= (@ (@ tptp.bit_se2923211474154528505it_int N2) K) (@ tptp.bit_se2000444600071755411sk_int N2)) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.plus_plus_int K) tptp.one_one_int)))))
% 13.98/14.28 (assume a6145 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.exp_real X)))))
% 13.98/14.28 (assume a6146 (forall ((X tptp.real) (Y tptp.int)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.ring_1_of_int_real Y)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Y)) (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (= (@ tptp.archim8280529875227126926d_real X) Y)))))
% 13.98/14.28 (assume a6147 (forall ((X tptp.real) (N2 tptp.int)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) (@ tptp.ring_1_of_int_real N2)))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.archim8280529875227126926d_real X) N2))))
% 13.98/14.28 (assume a6148 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real (@ tptp.archim8280529875227126926d_real X))) X))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6149 (= tptp.bit_se725231765392027082nd_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ (@ tptp.if_int (and (@ (@ tptp.member_int K3) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int L) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))))) (@ tptp.uminus_uminus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K3)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L)))))) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K3)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a6150 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.bit_se725231765392027082nd_int X) Xa2) Y) (and (=> (and (@ (@ tptp.member_int X) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int Xa2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int)))) (= Y (@ tptp.uminus_uminus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) X)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Xa2))))))) (=> (not (and (@ (@ tptp.member_int X) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int Xa2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))))) (= Y (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) X)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Xa2))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.divide_divide_int X) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int Xa2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a6151 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg tptp.one) (@ tptp.bitM N2)))))))
% 13.98/14.28 (assume a6152 (forall ((X tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.insert_int X) A2)) B2) (and (@ (@ tptp.member_int X) B2) (@ (@ tptp.ord_less_eq_set_int A2) B2)))))
% 13.98/14.28 (assume a6153 (forall ((X tptp.complex) (A2 tptp.set_complex) (B2 tptp.set_complex)) (= (@ (@ tptp.ord_le211207098394363844omplex (@ (@ tptp.insert_complex X) A2)) B2) (and (@ (@ tptp.member_complex X) B2) (@ (@ tptp.ord_le211207098394363844omplex A2) B2)))))
% 13.98/14.28 (assume a6154 (forall ((X tptp.product_prod_nat_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.insert8211810215607154385at_nat X) A2)) B2) (and (@ (@ tptp.member8440522571783428010at_nat X) B2) (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2)))))
% 13.98/14.28 (assume a6155 (forall ((X tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.insert_real X) A2)) B2) (and (@ (@ tptp.member_real X) B2) (@ (@ tptp.ord_less_eq_set_real A2) B2)))))
% 13.98/14.28 (assume a6156 (forall ((X tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.insert_nat X) A2)) B2) (and (@ (@ tptp.member_nat X) B2) (@ (@ tptp.ord_less_eq_set_nat A2) B2)))))
% 13.98/14.28 (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.ord_less_eq_set_int A2) (@ (@ tptp.insert_int B) tptp.bot_bot_set_int))))))
% 13.98/14.28 (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.ord_less_eq_set_real A2) (@ (@ tptp.insert_real B) tptp.bot_bot_set_real))))))
% 13.98/14.28 (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.ord_less_eq_set_nat A2) (@ (@ tptp.insert_nat B) tptp.bot_bot_set_nat))))))
% 13.98/14.28 (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.ord_less_eq_set_int A2) (@ (@ tptp.insert_int B) tptp.bot_bot_set_int))))))
% 13.98/14.28 (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.ord_less_eq_set_real A2) (@ (@ tptp.insert_real B) tptp.bot_bot_set_real))))))
% 13.98/14.28 (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.ord_less_eq_set_nat A2) (@ (@ tptp.insert_nat B) tptp.bot_bot_set_nat))))))
% 13.98/14.28 (assume a6163 (forall ((N2 tptp.num)) (= (@ tptp.archim8280529875227126926d_real (@ tptp.numeral_numeral_real N2)) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.28 (assume a6164 (= (@ tptp.archim8280529875227126926d_real tptp.one_one_real) tptp.one_one_int))
% 13.98/14.28 (assume a6165 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 13.98/14.28 (assume a6166 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) tptp.zero_zero_nat)))
% 13.98/14.28 (assume a6167 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y)))))
% 13.98/14.28 (assume a6168 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 X)))))
% 13.98/14.28 (assume a6169 (forall ((A2 tptp.set_complex) (B tptp.complex)) (= (@ (@ tptp.ord_le211207098394363844omplex A2) (@ tptp.uminus8566677241136511917omplex (@ (@ tptp.insert_complex B) tptp.bot_bot_set_complex))) (not (@ (@ tptp.member_complex B) A2)))))
% 13.98/14.28 (assume a6170 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat A2) (@ tptp.uminus6524753893492686040at_nat (@ (@ tptp.insert8211810215607154385at_nat B) tptp.bot_bo2099793752762293965at_nat))) (not (@ (@ tptp.member8440522571783428010at_nat B) A2)))))
% 13.98/14.28 (assume a6171 (forall ((A2 tptp.set_int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int A2) (@ tptp.uminus1532241313380277803et_int (@ (@ tptp.insert_int B) tptp.bot_bot_set_int))) (not (@ (@ tptp.member_int B) A2)))))
% 13.98/14.28 (assume a6172 (forall ((A2 tptp.set_real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real A2) (@ tptp.uminus612125837232591019t_real (@ (@ tptp.insert_real B) tptp.bot_bot_set_real))) (not (@ (@ tptp.member_real B) A2)))))
% 13.98/14.28 (assume a6173 (forall ((A2 tptp.set_nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat A2) (@ tptp.uminus5710092332889474511et_nat (@ (@ tptp.insert_nat B) tptp.bot_bot_set_nat))) (not (@ (@ tptp.member_nat B) A2)))))
% 13.98/14.28 (assume a6174 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 X)))))
% 13.98/14.28 (assume a6175 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y)))))
% 13.98/14.28 (assume a6176 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) tptp.one_one_nat)))
% 13.98/14.28 (assume a6177 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat)))
% 13.98/14.28 (assume a6178 (forall ((N2 tptp.nat) (X tptp.vEBT_VEBT)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT N2) X)) (@ (@ tptp.insert_VEBT_VEBT X) tptp.bot_bo8194388402131092736T_VEBT)))))
% 13.98/14.28 (assume a6179 (forall ((N2 tptp.nat) (X tptp.nat)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_nat2 (@ (@ tptp.replicate_nat N2) X)) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat)))))
% 13.98/14.28 (assume a6180 (forall ((N2 tptp.nat) (X tptp.int)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_int2 (@ (@ tptp.replicate_int N2) X)) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))
% 13.98/14.28 (assume a6181 (forall ((N2 tptp.nat) (X tptp.real)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_real2 (@ (@ tptp.replicate_real N2) X)) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))
% 13.98/14.28 (assume a6182 (forall ((N2 tptp.num)) (= (@ tptp.archim8280529875227126926d_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2)))))
% 13.98/14.28 (assume a6183 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6184 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se727722235901077358nd_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.modulo_modulo_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6185 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg M) (@ tptp.bit0 N2)))))))
% 13.98/14.28 (assume a6186 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg M) (@ tptp.bit0 N2)))))))
% 13.98/14.28 (assume a6187 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg M) (@ tptp.bitM N2)))))))
% 13.98/14.28 (assume a6188 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg M) (@ tptp.bitM N2)))))))
% 13.98/14.28 (assume a6189 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg tptp.one) (@ tptp.bitM N2)))))))
% 13.98/14.28 (assume a6190 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (B tptp.int)) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (@ (@ tptp.ord_less_eq_set_int A2) (@ (@ tptp.insert_int B) B2)))))
% 13.98/14.28 (assume a6191 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.insert_real B) B2)))))
% 13.98/14.28 (assume a6192 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (B tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.insert_nat B) B2)))))
% 13.98/14.28 (assume a6193 (forall ((B2 tptp.set_int) (A tptp.int)) (@ (@ tptp.ord_less_eq_set_int B2) (@ (@ tptp.insert_int A) B2))))
% 13.98/14.28 (assume a6194 (forall ((B2 tptp.set_real) (A tptp.real)) (@ (@ tptp.ord_less_eq_set_real B2) (@ (@ tptp.insert_real A) B2))))
% 13.98/14.28 (assume a6195 (forall ((B2 tptp.set_nat) (A tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat B2) (@ (@ tptp.insert_nat A) B2))))
% 13.98/14.28 (assume a6196 (forall ((X tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.ord_less_eq_set_int A2) (@ (@ tptp.insert_int X) B2)) (@ (@ tptp.ord_less_eq_set_int A2) B2)))))
% 13.98/14.28 (assume a6197 (forall ((X tptp.complex) (A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.ord_le211207098394363844omplex A2) (@ (@ tptp.insert_complex X) B2)) (@ (@ tptp.ord_le211207098394363844omplex A2) B2)))))
% 13.98/14.28 (assume a6198 (forall ((X tptp.product_prod_nat_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (@ (@ tptp.member8440522571783428010at_nat X) A2)) (= (@ (@ tptp.ord_le3146513528884898305at_nat A2) (@ (@ tptp.insert8211810215607154385at_nat X) B2)) (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2)))))
% 13.98/14.28 (assume a6199 (forall ((X tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.insert_real X) B2)) (@ (@ tptp.ord_less_eq_set_real A2) B2)))))
% 13.98/14.28 (assume a6200 (forall ((X tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.insert_nat X) B2)) (@ (@ tptp.ord_less_eq_set_nat A2) B2)))))
% 13.98/14.28 (assume a6201 (forall ((C4 tptp.set_int) (D4 tptp.set_int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_set_int C4) D4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.insert_int A) C4)) (@ (@ tptp.insert_int A) D4)))))
% 13.98/14.28 (assume a6202 (forall ((C4 tptp.set_real) (D4 tptp.set_real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_set_real C4) D4) (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.insert_real A) C4)) (@ (@ tptp.insert_real A) D4)))))
% 13.98/14.28 (assume a6203 (forall ((C4 tptp.set_nat) (D4 tptp.set_nat) (A tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C4) D4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.insert_nat A) C4)) (@ (@ tptp.insert_nat A) D4)))))
% 13.98/14.28 (assume a6204 (= (@ (@ tptp.bit_or_not_num_neg tptp.one) tptp.one) tptp.one))
% 13.98/14.28 (assume a6205 (forall ((X8 tptp.set_int) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int X8) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)) (or (= X8 tptp.bot_bot_set_int) (= X8 (@ (@ tptp.insert_int A) tptp.bot_bot_set_int))))))
% 13.98/14.28 (assume a6206 (forall ((X8 tptp.set_real) (A tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real X8) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)) (or (= X8 tptp.bot_bot_set_real) (= X8 (@ (@ tptp.insert_real A) tptp.bot_bot_set_real))))))
% 13.98/14.28 (assume a6207 (forall ((X8 tptp.set_nat) (A tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat X8) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)) (or (= X8 tptp.bot_bot_set_nat) (= X8 (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat))))))
% 13.98/14.28 (assume a6208 (forall ((A2 tptp.set_int) (X tptp.int)) (=> (@ (@ 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))))))
% 13.98/14.28 (assume a6209 (forall ((A2 tptp.set_real) (X tptp.real)) (=> (@ (@ 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))))))
% 13.98/14.28 (assume a6210 (forall ((A2 tptp.set_nat) (X tptp.nat)) (=> (@ (@ 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))))))
% 13.98/14.28 (assume a6211 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (X tptp.int) (C4 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int A2) (@ (@ tptp.minus_minus_set_int B2) (@ (@ tptp.insert_int X) C4))) (and (@ (@ tptp.ord_less_eq_set_int A2) (@ (@ tptp.minus_minus_set_int B2) C4)) (not (@ (@ tptp.member_int X) A2))))))
% 13.98/14.28 (assume a6212 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (X tptp.complex) (C4 tptp.set_complex)) (= (@ (@ tptp.ord_le211207098394363844omplex A2) (@ (@ tptp.minus_811609699411566653omplex B2) (@ (@ tptp.insert_complex X) C4))) (and (@ (@ tptp.ord_le211207098394363844omplex A2) (@ (@ tptp.minus_811609699411566653omplex B2) C4)) (not (@ (@ tptp.member_complex X) A2))))))
% 13.98/14.28 (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.ord_le3146513528884898305at_nat A2) (@ (@ tptp.minus_1356011639430497352at_nat B2) (@ (@ tptp.insert8211810215607154385at_nat X) C4))) (and (@ (@ tptp.ord_le3146513528884898305at_nat A2) (@ (@ tptp.minus_1356011639430497352at_nat B2) C4)) (not (@ (@ tptp.member8440522571783428010at_nat X) A2))))))
% 13.98/14.28 (assume a6214 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (X tptp.real) (C4 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.minus_minus_set_real B2) (@ (@ tptp.insert_real X) C4))) (and (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.minus_minus_set_real B2) C4)) (not (@ (@ tptp.member_real X) A2))))))
% 13.98/14.28 (assume a6215 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (X tptp.nat) (C4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.minus_minus_set_nat B2) (@ (@ tptp.insert_nat X) C4))) (and (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.minus_minus_set_nat B2) C4)) (not (@ (@ tptp.member_nat X) A2))))))
% 13.98/14.28 (assume a6216 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg (@ tptp.bit0 N2)) tptp.one) (@ tptp.bit0 tptp.one))))
% 13.98/14.28 (assume a6217 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg (@ tptp.bit0 N2)) (@ tptp.bit1 M)) (@ tptp.bit0 (@ (@ tptp.bit_or_not_num_neg N2) M)))))
% 13.98/14.28 (assume a6218 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg (@ tptp.bit1 N2)) tptp.one) tptp.one)))
% 13.98/14.28 (assume a6219 (forall ((M tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg tptp.one) (@ tptp.bit1 M)) (@ tptp.bit1 M))))
% 13.98/14.28 (assume a6220 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg (@ tptp.bit0 N2)) (@ tptp.bit0 M)) (@ tptp.bitM (@ (@ tptp.bit_or_not_num_neg N2) M)))))
% 13.98/14.28 (assume a6221 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg (@ tptp.bit1 N2)) (@ tptp.bit1 M)) (@ tptp.bitM (@ (@ tptp.bit_or_not_num_neg N2) M)))))
% 13.98/14.28 (assume a6222 (forall ((S tptp.set_complex) (P (-> tptp.set_complex Bool)) (F (-> tptp.complex tptp.num))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (@ P tptp.bot_bot_set_complex) (=> (forall ((X5 tptp.complex) (S4 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex S4) (=> (forall ((Y2 tptp.complex)) (=> (@ (@ tptp.member_complex Y2) S4) (@ (@ tptp.ord_less_eq_num (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_complex X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6223 (forall ((S tptp.set_nat) (P (-> tptp.set_nat Bool)) (F (-> tptp.nat tptp.num))) (=> (@ tptp.finite_finite_nat S) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((X5 tptp.nat) (S4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat S4) (=> (forall ((Y2 tptp.nat)) (=> (@ (@ tptp.member_nat Y2) S4) (@ (@ tptp.ord_less_eq_num (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_nat X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6224 (forall ((S tptp.set_int) (P (-> tptp.set_int Bool)) (F (-> tptp.int tptp.num))) (=> (@ tptp.finite_finite_int S) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((X5 tptp.int) (S4 tptp.set_int)) (=> (@ tptp.finite_finite_int S4) (=> (forall ((Y2 tptp.int)) (=> (@ (@ tptp.member_int Y2) S4) (@ (@ tptp.ord_less_eq_num (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_int X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6225 (forall ((S tptp.set_real) (P (-> tptp.set_real Bool)) (F (-> tptp.real tptp.num))) (=> (@ tptp.finite_finite_real S) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((X5 tptp.real) (S4 tptp.set_real)) (=> (@ tptp.finite_finite_real S4) (=> (forall ((Y2 tptp.real)) (=> (@ (@ tptp.member_real Y2) S4) (@ (@ tptp.ord_less_eq_num (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_real X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6226 (forall ((S tptp.set_complex) (P (-> tptp.set_complex Bool)) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (@ P tptp.bot_bot_set_complex) (=> (forall ((X5 tptp.complex) (S4 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex S4) (=> (forall ((Y2 tptp.complex)) (=> (@ (@ tptp.member_complex Y2) S4) (@ (@ tptp.ord_less_eq_nat (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_complex X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6227 (forall ((S tptp.set_nat) (P (-> tptp.set_nat Bool)) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat S) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((X5 tptp.nat) (S4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat S4) (=> (forall ((Y2 tptp.nat)) (=> (@ (@ tptp.member_nat Y2) S4) (@ (@ tptp.ord_less_eq_nat (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_nat X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6228 (forall ((S tptp.set_int) (P (-> tptp.set_int Bool)) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int S) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((X5 tptp.int) (S4 tptp.set_int)) (=> (@ tptp.finite_finite_int S4) (=> (forall ((Y2 tptp.int)) (=> (@ (@ tptp.member_int Y2) S4) (@ (@ tptp.ord_less_eq_nat (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_int X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6229 (forall ((S tptp.set_real) (P (-> tptp.set_real Bool)) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real S) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((X5 tptp.real) (S4 tptp.set_real)) (=> (@ tptp.finite_finite_real S4) (=> (forall ((Y2 tptp.real)) (=> (@ (@ tptp.member_real Y2) S4) (@ (@ tptp.ord_less_eq_nat (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_real X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6230 (forall ((S tptp.set_complex) (P (-> tptp.set_complex Bool)) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (@ P tptp.bot_bot_set_complex) (=> (forall ((X5 tptp.complex) (S4 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex S4) (=> (forall ((Y2 tptp.complex)) (=> (@ (@ tptp.member_complex Y2) S4) (@ (@ tptp.ord_less_eq_int (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_complex X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6231 (forall ((S tptp.set_nat) (P (-> tptp.set_nat Bool)) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat S) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((X5 tptp.nat) (S4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat S4) (=> (forall ((Y2 tptp.nat)) (=> (@ (@ tptp.member_nat Y2) S4) (@ (@ tptp.ord_less_eq_int (@ F Y2)) (@ F X5)))) (=> (@ P S4) (@ P (@ (@ tptp.insert_nat X5) S4)))))) (@ P S))))))
% 13.98/14.28 (assume a6232 (forall ((A2 tptp.set_Extended_enat) (P (-> tptp.set_Extended_enat Bool))) (=> (@ tptp.finite4001608067531595151d_enat A2) (=> (@ P tptp.bot_bo7653980558646680370d_enat) (=> (forall ((B3 tptp.extended_enat) (A7 tptp.set_Extended_enat)) (=> (@ tptp.finite4001608067531595151d_enat A7) (=> (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.member_Extended_enat X3) A7) (@ (@ tptp.ord_le72135733267957522d_enat X3) B3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_Extended_enat B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6233 (forall ((A2 tptp.set_real) (P (-> tptp.set_real Bool))) (=> (@ tptp.finite_finite_real A2) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((B3 tptp.real) (A7 tptp.set_real)) (=> (@ tptp.finite_finite_real A7) (=> (forall ((X3 tptp.real)) (=> (@ (@ tptp.member_real X3) A7) (@ (@ tptp.ord_less_real X3) B3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_real B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6234 (forall ((A2 tptp.set_num) (P (-> tptp.set_num Bool))) (=> (@ tptp.finite_finite_num A2) (=> (@ P tptp.bot_bot_set_num) (=> (forall ((B3 tptp.num) (A7 tptp.set_num)) (=> (@ tptp.finite_finite_num A7) (=> (forall ((X3 tptp.num)) (=> (@ (@ tptp.member_num X3) A7) (@ (@ tptp.ord_less_num X3) B3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_num B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6235 (forall ((A2 tptp.set_nat) (P (-> tptp.set_nat Bool))) (=> (@ tptp.finite_finite_nat A2) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((B3 tptp.nat) (A7 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A7) (=> (forall ((X3 tptp.nat)) (=> (@ (@ tptp.member_nat X3) A7) (@ (@ tptp.ord_less_nat X3) B3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_nat B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6236 (forall ((A2 tptp.set_int) (P (-> tptp.set_int Bool))) (=> (@ tptp.finite_finite_int A2) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((B3 tptp.int) (A7 tptp.set_int)) (=> (@ tptp.finite_finite_int A7) (=> (forall ((X3 tptp.int)) (=> (@ (@ tptp.member_int X3) A7) (@ (@ tptp.ord_less_int X3) B3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_int B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6237 (forall ((A2 tptp.set_Extended_enat) (P (-> tptp.set_Extended_enat Bool))) (=> (@ tptp.finite4001608067531595151d_enat A2) (=> (@ P tptp.bot_bo7653980558646680370d_enat) (=> (forall ((B3 tptp.extended_enat) (A7 tptp.set_Extended_enat)) (=> (@ tptp.finite4001608067531595151d_enat A7) (=> (forall ((X3 tptp.extended_enat)) (=> (@ (@ tptp.member_Extended_enat X3) A7) (@ (@ tptp.ord_le72135733267957522d_enat B3) X3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_Extended_enat B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6238 (forall ((A2 tptp.set_real) (P (-> tptp.set_real Bool))) (=> (@ tptp.finite_finite_real A2) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((B3 tptp.real) (A7 tptp.set_real)) (=> (@ tptp.finite_finite_real A7) (=> (forall ((X3 tptp.real)) (=> (@ (@ tptp.member_real X3) A7) (@ (@ tptp.ord_less_real B3) X3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_real B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6239 (forall ((A2 tptp.set_num) (P (-> tptp.set_num Bool))) (=> (@ tptp.finite_finite_num A2) (=> (@ P tptp.bot_bot_set_num) (=> (forall ((B3 tptp.num) (A7 tptp.set_num)) (=> (@ tptp.finite_finite_num A7) (=> (forall ((X3 tptp.num)) (=> (@ (@ tptp.member_num X3) A7) (@ (@ tptp.ord_less_num B3) X3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_num B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6240 (forall ((A2 tptp.set_nat) (P (-> tptp.set_nat Bool))) (=> (@ tptp.finite_finite_nat A2) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((B3 tptp.nat) (A7 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A7) (=> (forall ((X3 tptp.nat)) (=> (@ (@ tptp.member_nat X3) A7) (@ (@ tptp.ord_less_nat B3) X3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_nat B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6241 (forall ((A2 tptp.set_int) (P (-> tptp.set_int Bool))) (=> (@ tptp.finite_finite_int A2) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((B3 tptp.int) (A7 tptp.set_int)) (=> (@ tptp.finite_finite_int A7) (=> (forall ((X3 tptp.int)) (=> (@ (@ tptp.member_int X3) A7) (@ (@ tptp.ord_less_int B3) X3))) (=> (@ P A7) (@ P (@ (@ tptp.insert_int B3) A7)))))) (@ P A2))))))
% 13.98/14.28 (assume a6242 (forall ((F3 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (P (-> tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ tptp.finite6177210948735845034at_nat F3) (=> (@ (@ tptp.ord_le3146513528884898305at_nat F3) A2) (=> (@ P tptp.bot_bo2099793752762293965at_nat) (=> (forall ((A3 tptp.product_prod_nat_nat) (F4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat F4) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A2) (=> (@ (@ tptp.ord_le3146513528884898305at_nat F4) A2) (=> (not (@ (@ tptp.member8440522571783428010at_nat A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert8211810215607154385at_nat A3) F4)))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6243 (forall ((F3 tptp.set_complex) (A2 tptp.set_complex) (P (-> tptp.set_complex Bool))) (=> (@ tptp.finite3207457112153483333omplex F3) (=> (@ (@ tptp.ord_le211207098394363844omplex F3) A2) (=> (@ P tptp.bot_bot_set_complex) (=> (forall ((A3 tptp.complex) (F4 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex F4) (=> (@ (@ tptp.member_complex A3) A2) (=> (@ (@ tptp.ord_le211207098394363844omplex F4) A2) (=> (not (@ (@ tptp.member_complex A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_complex A3) F4)))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6244 (forall ((F3 tptp.set_int) (A2 tptp.set_int) (P (-> tptp.set_int Bool))) (=> (@ tptp.finite_finite_int F3) (=> (@ (@ tptp.ord_less_eq_set_int F3) A2) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((A3 tptp.int) (F4 tptp.set_int)) (=> (@ tptp.finite_finite_int F4) (=> (@ (@ tptp.member_int A3) A2) (=> (@ (@ tptp.ord_less_eq_set_int F4) A2) (=> (not (@ (@ tptp.member_int A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_int A3) F4)))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6245 (forall ((F3 tptp.set_real) (A2 tptp.set_real) (P (-> tptp.set_real Bool))) (=> (@ tptp.finite_finite_real F3) (=> (@ (@ tptp.ord_less_eq_set_real F3) A2) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((A3 tptp.real) (F4 tptp.set_real)) (=> (@ tptp.finite_finite_real F4) (=> (@ (@ tptp.member_real A3) A2) (=> (@ (@ tptp.ord_less_eq_set_real F4) A2) (=> (not (@ (@ tptp.member_real A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_real A3) F4)))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6246 (forall ((F3 tptp.set_nat) (A2 tptp.set_nat) (P (-> tptp.set_nat Bool))) (=> (@ tptp.finite_finite_nat F3) (=> (@ (@ tptp.ord_less_eq_set_nat F3) A2) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((A3 tptp.nat) (F4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat F4) (=> (@ (@ tptp.member_nat A3) A2) (=> (@ (@ tptp.ord_less_eq_set_nat F4) A2) (=> (not (@ (@ tptp.member_nat A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_nat A3) F4)))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6247 (forall ((F3 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (P (-> tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ tptp.finite6177210948735845034at_nat F3) (=> (@ (@ tptp.ord_le3146513528884898305at_nat F3) A2) (=> (@ P tptp.bot_bo2099793752762293965at_nat) (=> (forall ((A3 tptp.product_prod_nat_nat) (F4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat F4) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A2) (=> (not (@ (@ tptp.member8440522571783428010at_nat A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert8211810215607154385at_nat A3) F4))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6248 (forall ((F3 tptp.set_complex) (A2 tptp.set_complex) (P (-> tptp.set_complex Bool))) (=> (@ tptp.finite3207457112153483333omplex F3) (=> (@ (@ tptp.ord_le211207098394363844omplex F3) A2) (=> (@ P tptp.bot_bot_set_complex) (=> (forall ((A3 tptp.complex) (F4 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex F4) (=> (@ (@ tptp.member_complex A3) A2) (=> (not (@ (@ tptp.member_complex A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_complex A3) F4))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6249 (forall ((F3 tptp.set_int) (A2 tptp.set_int) (P (-> tptp.set_int Bool))) (=> (@ tptp.finite_finite_int F3) (=> (@ (@ tptp.ord_less_eq_set_int F3) A2) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((A3 tptp.int) (F4 tptp.set_int)) (=> (@ tptp.finite_finite_int F4) (=> (@ (@ tptp.member_int A3) A2) (=> (not (@ (@ tptp.member_int A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_int A3) F4))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6250 (forall ((F3 tptp.set_real) (A2 tptp.set_real) (P (-> tptp.set_real Bool))) (=> (@ tptp.finite_finite_real F3) (=> (@ (@ tptp.ord_less_eq_set_real F3) A2) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((A3 tptp.real) (F4 tptp.set_real)) (=> (@ tptp.finite_finite_real F4) (=> (@ (@ tptp.member_real A3) A2) (=> (not (@ (@ tptp.member_real A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_real A3) F4))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6251 (forall ((F3 tptp.set_nat) (A2 tptp.set_nat) (P (-> tptp.set_nat Bool))) (=> (@ tptp.finite_finite_nat F3) (=> (@ (@ tptp.ord_less_eq_set_nat F3) A2) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((A3 tptp.nat) (F4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat F4) (=> (@ (@ tptp.member_nat A3) A2) (=> (not (@ (@ tptp.member_nat A3) F4)) (=> (@ P F4) (@ P (@ (@ tptp.insert_nat A3) F4))))))) (@ P F3)))))))
% 13.98/14.28 (assume a6252 (forall ((A2 tptp.set_complex) (X tptp.complex) (B2 tptp.set_complex)) (= (@ (@ tptp.ord_le211207098394363844omplex A2) (@ (@ tptp.insert_complex X) B2)) (and (=> (@ (@ tptp.member_complex X) A2) (@ (@ tptp.ord_le211207098394363844omplex (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))) B2)) (=> (not (@ (@ tptp.member_complex X) A2)) (@ (@ tptp.ord_le211207098394363844omplex A2) B2))))))
% 13.98/14.28 (assume a6253 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat A2) (@ (@ tptp.insert8211810215607154385at_nat X) B2)) (and (=> (@ (@ tptp.member8440522571783428010at_nat X) A2) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.minus_1356011639430497352at_nat A2) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))) B2)) (=> (not (@ (@ tptp.member8440522571783428010at_nat X) A2)) (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2))))))
% 13.98/14.28 (assume a6254 (forall ((A2 tptp.set_int) (X tptp.int) (B2 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int A2) (@ (@ tptp.insert_int X) B2)) (and (=> (@ (@ tptp.member_int X) A2) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) B2)) (=> (not (@ (@ tptp.member_int X) A2)) (@ (@ tptp.ord_less_eq_set_int A2) B2))))))
% 13.98/14.28 (assume a6255 (forall ((A2 tptp.set_real) (X tptp.real) (B2 tptp.set_real)) (= (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.insert_real X) B2)) (and (=> (@ (@ tptp.member_real X) A2) (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))) B2)) (=> (not (@ (@ tptp.member_real X) A2)) (@ (@ tptp.ord_less_eq_set_real A2) B2))))))
% 13.98/14.28 (assume a6256 (forall ((A2 tptp.set_nat) (X tptp.nat) (B2 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.insert_nat X) B2)) (and (=> (@ (@ tptp.member_nat X) A2) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) B2)) (=> (not (@ (@ tptp.member_nat X) A2)) (@ (@ tptp.ord_less_eq_set_nat A2) B2))))))
% 13.98/14.28 (assume a6257 (forall ((A2 tptp.set_int) (X tptp.int) (B2 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) B2) (@ (@ tptp.ord_less_eq_set_int A2) (@ (@ tptp.insert_int X) B2)))))
% 13.98/14.28 (assume a6258 (forall ((A2 tptp.set_real) (X tptp.real) (B2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))) B2) (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.insert_real X) B2)))))
% 13.98/14.28 (assume a6259 (forall ((A2 tptp.set_nat) (X tptp.nat) (B2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) B2) (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.insert_nat X) B2)))))
% 13.98/14.28 (assume a6260 (forall ((Xs2 tptp.list_int) (I2 tptp.nat) (X tptp.int)) (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 (@ (@ (@ tptp.list_update_int Xs2) I2) X))) (@ (@ tptp.insert_int X) (@ tptp.set_int2 Xs2)))))
% 13.98/14.28 (assume a6261 (forall ((Xs2 tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT)) (@ (@ tptp.ord_le4337996190870823476T_VEBT (@ tptp.set_VEBT_VEBT2 (@ (@ (@ tptp.list_u1324408373059187874T_VEBT Xs2) I2) X))) (@ (@ tptp.insert_VEBT_VEBT X) (@ tptp.set_VEBT_VEBT2 Xs2)))))
% 13.98/14.28 (assume a6262 (forall ((Xs2 tptp.list_real) (I2 tptp.nat) (X tptp.real)) (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 (@ (@ (@ tptp.list_update_real Xs2) I2) X))) (@ (@ tptp.insert_real X) (@ tptp.set_real2 Xs2)))))
% 13.98/14.28 (assume a6263 (forall ((Xs2 tptp.list_nat) (I2 tptp.nat) (X tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 (@ (@ (@ tptp.list_update_nat Xs2) I2) X))) (@ (@ tptp.insert_nat X) (@ tptp.set_nat2 Xs2)))))
% 13.98/14.28 (assume a6264 (forall ((M tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg tptp.one) (@ tptp.bit0 M)) (@ tptp.bit1 M))))
% 13.98/14.28 (assume a6265 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_or_not_num_neg (@ tptp.bit1 N2)) (@ tptp.bit0 M)) (@ tptp.bitM (@ (@ tptp.bit_or_not_num_neg N2) M)))))
% 13.98/14.28 (assume a6266 (forall ((P (-> tptp.set_Pr1261947904930325089at_nat Bool)) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (@ P tptp.bot_bo2099793752762293965at_nat) (=> (=> (not (@ tptp.finite6177210948735845034at_nat B2)) (@ P B2)) (=> (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat A7) (=> (not (= A7 tptp.bot_bo2099793752762293965at_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A7) B2) (=> (forall ((X3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X3) A7) (@ P (@ (@ tptp.minus_1356011639430497352at_nat A7) (@ (@ tptp.insert8211810215607154385at_nat X3) tptp.bot_bo2099793752762293965at_nat))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6267 (forall ((P (-> tptp.set_complex Bool)) (B2 tptp.set_complex)) (=> (@ P tptp.bot_bot_set_complex) (=> (=> (not (@ tptp.finite3207457112153483333omplex B2)) (@ P B2)) (=> (forall ((A7 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex A7) (=> (not (= A7 tptp.bot_bot_set_complex)) (=> (@ (@ tptp.ord_le211207098394363844omplex A7) B2) (=> (forall ((X3 tptp.complex)) (=> (@ (@ tptp.member_complex X3) A7) (@ P (@ (@ tptp.minus_811609699411566653omplex A7) (@ (@ tptp.insert_complex X3) tptp.bot_bot_set_complex))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6268 (forall ((P (-> tptp.set_int Bool)) (B2 tptp.set_int)) (=> (@ P tptp.bot_bot_set_int) (=> (=> (not (@ tptp.finite_finite_int B2)) (@ P B2)) (=> (forall ((A7 tptp.set_int)) (=> (@ tptp.finite_finite_int A7) (=> (not (= A7 tptp.bot_bot_set_int)) (=> (@ (@ tptp.ord_less_eq_set_int A7) B2) (=> (forall ((X3 tptp.int)) (=> (@ (@ tptp.member_int X3) A7) (@ P (@ (@ tptp.minus_minus_set_int A7) (@ (@ tptp.insert_int X3) tptp.bot_bot_set_int))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6269 (forall ((P (-> tptp.set_real Bool)) (B2 tptp.set_real)) (=> (@ P tptp.bot_bot_set_real) (=> (=> (not (@ tptp.finite_finite_real B2)) (@ P B2)) (=> (forall ((A7 tptp.set_real)) (=> (@ tptp.finite_finite_real A7) (=> (not (= A7 tptp.bot_bot_set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A7) B2) (=> (forall ((X3 tptp.real)) (=> (@ (@ tptp.member_real X3) A7) (@ P (@ (@ tptp.minus_minus_set_real A7) (@ (@ tptp.insert_real X3) tptp.bot_bot_set_real))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6270 (forall ((P (-> tptp.set_nat Bool)) (B2 tptp.set_nat)) (=> (@ P tptp.bot_bot_set_nat) (=> (=> (not (@ tptp.finite_finite_nat B2)) (@ P B2)) (=> (forall ((A7 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A7) (=> (not (= A7 tptp.bot_bot_set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A7) B2) (=> (forall ((X3 tptp.nat)) (=> (@ (@ tptp.member_nat X3) A7) (@ P (@ (@ tptp.minus_minus_set_nat A7) (@ (@ tptp.insert_nat X3) tptp.bot_bot_set_nat))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6271 (forall ((B2 tptp.set_Pr1261947904930325089at_nat) (P (-> tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ tptp.finite6177210948735845034at_nat B2) (=> (@ P tptp.bot_bo2099793752762293965at_nat) (=> (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat A7) (=> (not (= A7 tptp.bot_bo2099793752762293965at_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A7) B2) (=> (forall ((X3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X3) A7) (@ P (@ (@ tptp.minus_1356011639430497352at_nat A7) (@ (@ tptp.insert8211810215607154385at_nat X3) tptp.bot_bo2099793752762293965at_nat))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6272 (forall ((B2 tptp.set_complex) (P (-> tptp.set_complex Bool))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ P tptp.bot_bot_set_complex) (=> (forall ((A7 tptp.set_complex)) (=> (@ tptp.finite3207457112153483333omplex A7) (=> (not (= A7 tptp.bot_bot_set_complex)) (=> (@ (@ tptp.ord_le211207098394363844omplex A7) B2) (=> (forall ((X3 tptp.complex)) (=> (@ (@ tptp.member_complex X3) A7) (@ P (@ (@ tptp.minus_811609699411566653omplex A7) (@ (@ tptp.insert_complex X3) tptp.bot_bot_set_complex))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6273 (forall ((B2 tptp.set_int) (P (-> tptp.set_int Bool))) (=> (@ tptp.finite_finite_int B2) (=> (@ P tptp.bot_bot_set_int) (=> (forall ((A7 tptp.set_int)) (=> (@ tptp.finite_finite_int A7) (=> (not (= A7 tptp.bot_bot_set_int)) (=> (@ (@ tptp.ord_less_eq_set_int A7) B2) (=> (forall ((X3 tptp.int)) (=> (@ (@ tptp.member_int X3) A7) (@ P (@ (@ tptp.minus_minus_set_int A7) (@ (@ tptp.insert_int X3) tptp.bot_bot_set_int))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6274 (forall ((B2 tptp.set_real) (P (-> tptp.set_real Bool))) (=> (@ tptp.finite_finite_real B2) (=> (@ P tptp.bot_bot_set_real) (=> (forall ((A7 tptp.set_real)) (=> (@ tptp.finite_finite_real A7) (=> (not (= A7 tptp.bot_bot_set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A7) B2) (=> (forall ((X3 tptp.real)) (=> (@ (@ tptp.member_real X3) A7) (@ P (@ (@ tptp.minus_minus_set_real A7) (@ (@ tptp.insert_real X3) tptp.bot_bot_set_real))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6275 (forall ((B2 tptp.set_nat) (P (-> tptp.set_nat Bool))) (=> (@ tptp.finite_finite_nat B2) (=> (@ P tptp.bot_bot_set_nat) (=> (forall ((A7 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A7) (=> (not (= A7 tptp.bot_bot_set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A7) B2) (=> (forall ((X3 tptp.nat)) (=> (@ (@ tptp.member_nat X3) A7) (@ P (@ (@ tptp.minus_minus_set_nat A7) (@ (@ tptp.insert_nat X3) tptp.bot_bot_set_nat))))) (@ P A7)))))) (@ P B2))))))
% 13.98/14.28 (assume a6276 (forall ((A2 tptp.set_complex) (X tptp.complex) (B2 tptp.set_complex)) (= (@ (@ tptp.ord_less_set_complex A2) (@ (@ tptp.insert_complex X) B2)) (and (=> (@ (@ tptp.member_complex X) B2) (@ (@ tptp.ord_less_set_complex A2) B2)) (=> (not (@ (@ tptp.member_complex X) B2)) (and (=> (@ (@ tptp.member_complex X) A2) (@ (@ tptp.ord_less_set_complex (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))) B2)) (=> (not (@ (@ tptp.member_complex X) A2)) (@ (@ tptp.ord_le211207098394363844omplex A2) B2))))))))
% 13.98/14.28 (assume a6277 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le7866589430770878221at_nat A2) (@ (@ tptp.insert8211810215607154385at_nat X) B2)) (and (=> (@ (@ tptp.member8440522571783428010at_nat X) B2) (@ (@ tptp.ord_le7866589430770878221at_nat A2) B2)) (=> (not (@ (@ tptp.member8440522571783428010at_nat X) B2)) (and (=> (@ (@ tptp.member8440522571783428010at_nat X) A2) (@ (@ tptp.ord_le7866589430770878221at_nat (@ (@ tptp.minus_1356011639430497352at_nat A2) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))) B2)) (=> (not (@ (@ tptp.member8440522571783428010at_nat X) A2)) (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2))))))))
% 13.98/14.28 (assume a6278 (forall ((A2 tptp.set_int) (X tptp.int) (B2 tptp.set_int)) (= (@ (@ tptp.ord_less_set_int A2) (@ (@ tptp.insert_int X) B2)) (and (=> (@ (@ tptp.member_int X) B2) (@ (@ tptp.ord_less_set_int A2) B2)) (=> (not (@ (@ tptp.member_int X) B2)) (and (=> (@ (@ tptp.member_int X) A2) (@ (@ tptp.ord_less_set_int (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) B2)) (=> (not (@ (@ tptp.member_int X) A2)) (@ (@ tptp.ord_less_eq_set_int A2) B2))))))))
% 13.98/14.28 (assume a6279 (forall ((A2 tptp.set_real) (X tptp.real) (B2 tptp.set_real)) (= (@ (@ tptp.ord_less_set_real A2) (@ (@ tptp.insert_real X) B2)) (and (=> (@ (@ tptp.member_real X) B2) (@ (@ tptp.ord_less_set_real A2) B2)) (=> (not (@ (@ tptp.member_real X) B2)) (and (=> (@ (@ tptp.member_real X) A2) (@ (@ tptp.ord_less_set_real (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))) B2)) (=> (not (@ (@ tptp.member_real X) A2)) (@ (@ tptp.ord_less_eq_set_real A2) B2))))))))
% 13.98/14.28 (assume a6280 (forall ((A2 tptp.set_nat) (X tptp.nat) (B2 tptp.set_nat)) (= (@ (@ tptp.ord_less_set_nat A2) (@ (@ tptp.insert_nat X) B2)) (and (=> (@ (@ tptp.member_nat X) B2) (@ (@ tptp.ord_less_set_nat A2) B2)) (=> (not (@ (@ tptp.member_nat X) B2)) (and (=> (@ (@ tptp.member_nat X) A2) (@ (@ tptp.ord_less_set_nat (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) B2)) (=> (not (@ (@ tptp.member_nat X) A2)) (@ (@ tptp.ord_less_eq_set_nat A2) B2))))))))
% 13.98/14.28 (assume a6281 (forall ((N2 tptp.nat) (X tptp.vEBT_VEBT)) (= (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT (@ tptp.suc N2)) X)) (@ (@ tptp.insert_VEBT_VEBT X) tptp.bot_bo8194388402131092736T_VEBT))))
% 13.98/14.28 (assume a6282 (forall ((N2 tptp.nat) (X tptp.nat)) (= (@ tptp.set_nat2 (@ (@ tptp.replicate_nat (@ tptp.suc N2)) X)) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))
% 13.98/14.28 (assume a6283 (forall ((N2 tptp.nat) (X tptp.int)) (= (@ tptp.set_int2 (@ (@ tptp.replicate_int (@ tptp.suc N2)) X)) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))
% 13.98/14.28 (assume a6284 (forall ((N2 tptp.nat) (X tptp.real)) (= (@ tptp.set_real2 (@ (@ tptp.replicate_real (@ tptp.suc N2)) X)) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))
% 13.98/14.28 (assume a6285 (forall ((N2 tptp.nat) (X tptp.vEBT_VEBT)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT N2) X)) tptp.bot_bo8194388402131092736T_VEBT)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_VEBT_VEBT2 (@ (@ tptp.replicate_VEBT_VEBT N2) X)) (@ (@ tptp.insert_VEBT_VEBT X) tptp.bot_bo8194388402131092736T_VEBT))))))
% 13.98/14.28 (assume a6286 (forall ((N2 tptp.nat) (X tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ tptp.set_nat2 (@ (@ tptp.replicate_nat N2) X)) tptp.bot_bot_set_nat)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_nat2 (@ (@ tptp.replicate_nat N2) X)) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))
% 13.98/14.28 (assume a6287 (forall ((N2 tptp.nat) (X tptp.int)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ tptp.set_int2 (@ (@ tptp.replicate_int N2) X)) tptp.bot_bot_set_int)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_int2 (@ (@ tptp.replicate_int N2) X)) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))
% 13.98/14.28 (assume a6288 (forall ((N2 tptp.nat) (X tptp.real)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ tptp.set_real2 (@ (@ tptp.replicate_real N2) X)) tptp.bot_bot_set_real)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ tptp.set_real2 (@ (@ tptp.replicate_real N2) X)) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))
% 13.98/14.28 (assume a6289 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.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.bit0 M5)) (not (= Y (@ tptp.bit1 M5)))))) (=> (=> (= X tptp.one) (forall ((M5 tptp.num)) (=> (= Xa2 (@ tptp.bit1 M5)) (not (= Y (@ tptp.bit1 M5)))))) (=> (=> (exists ((N4 tptp.num)) (= X (@ tptp.bit0 N4))) (=> (= Xa2 tptp.one) (not (= Y (@ tptp.bit0 tptp.one))))) (=> (forall ((N4 tptp.num)) (=> (= X (@ tptp.bit0 N4)) (forall ((M5 tptp.num)) (=> (= Xa2 (@ tptp.bit0 M5)) (not (= Y (@ tptp.bitM (@ (@ tptp.bit_or_not_num_neg N4) M5)))))))) (=> (forall ((N4 tptp.num)) (=> (= X (@ tptp.bit0 N4)) (forall ((M5 tptp.num)) (=> (= Xa2 (@ tptp.bit1 M5)) (not (= Y (@ tptp.bit0 (@ (@ tptp.bit_or_not_num_neg N4) M5)))))))) (=> (=> (exists ((N4 tptp.num)) (= X (@ tptp.bit1 N4))) (=> (= Xa2 tptp.one) (not (= Y tptp.one)))) (=> (forall ((N4 tptp.num)) (=> (= X (@ tptp.bit1 N4)) (forall ((M5 tptp.num)) (=> (= Xa2 (@ tptp.bit0 M5)) (not (= Y (@ tptp.bitM (@ (@ tptp.bit_or_not_num_neg N4) M5)))))))) (not (forall ((N4 tptp.num)) (=> (= X (@ tptp.bit1 N4)) (forall ((M5 tptp.num)) (=> (= Xa2 (@ tptp.bit1 M5)) (not (= Y (@ tptp.bitM (@ (@ tptp.bit_or_not_num_neg N4) M5))))))))))))))))))))
% 13.98/14.28 (assume a6290 (forall ((Z tptp.real) (M tptp.int)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real Z) (@ tptp.ring_1_of_int_real (@ tptp.archim8280529875227126926d_real Z))))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real Z) (@ tptp.ring_1_of_int_real M))))))
% 13.98/14.28 (assume a6291 (= tptp.bit_se727722235901077358nd_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (or (= M6 tptp.zero_zero_nat) (= N tptp.zero_zero_nat))) tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.modulo_modulo_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat (@ (@ tptp.divide_divide_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a6292 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.plus_plus_nat N2) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.28 (assume a6293 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1412395901928357646or_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.plus_plus_nat N2) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))))
% 13.98/14.28 (assume a6294 (= tptp.bit_se1412395901928357646or_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ tptp.zero_n2687167440665602831ol_nat (or (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M6)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat (@ (@ tptp.divide_divide_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6295 (= tptp.bit_se727722235901077358nd_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ tptp.zero_n2687167440665602831ol_nat (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M6)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se727722235901077358nd_nat (@ (@ tptp.divide_divide_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6296 (= tptp.bit_se1412395901928357646or_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (= M6 tptp.zero_zero_nat)) N) (@ (@ (@ tptp.if_nat (= N tptp.zero_zero_nat)) M6) (@ (@ tptp.plus_plus_nat (@ (@ tptp.ord_max_nat (@ (@ tptp.modulo_modulo_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1412395901928357646or_nat (@ (@ tptp.divide_divide_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))
% 13.98/14.28 (assume a6297 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real (@ tptp.archim8280529875227126926d_real X))) (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a6298 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.ring_1_of_int_real (@ tptp.archim8280529875227126926d_real X)))))
% 13.98/14.28 (assume a6299 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.ring_1_of_int_real (@ tptp.archim8280529875227126926d_real X)))))
% 13.98/14.28 (assume a6300 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.bit_se725231765392027082nd_int X) Xa2) Y) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (@ (@ tptp.product_Pair_int_int X) Xa2)) (not (=> (and (=> (and (@ (@ tptp.member_int X) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int Xa2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int)))) (= Y (@ tptp.uminus_uminus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) X)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Xa2))))))) (=> (not (and (@ (@ tptp.member_int X) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int Xa2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))))) (= Y (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) X)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Xa2))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.divide_divide_int X) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int Xa2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))) (not (@ (@ tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (@ (@ tptp.product_Pair_int_int X) Xa2)))))))))
% 13.98/14.28 (assume a6301 (forall ((K tptp.int) (L2 tptp.int)) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (@ (@ tptp.product_Pair_int_int K) L2)) (and (=> (and (@ (@ tptp.member_int K) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int L2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int)))) (= (@ (@ tptp.bit_se725231765392027082nd_int K) L2) (@ tptp.uminus_uminus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L2))))))) (=> (not (and (@ (@ tptp.member_int K) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int L2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))))) (= (@ (@ tptp.bit_se725231765392027082nd_int K) L2) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L2))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.divide_divide_int K) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a6302 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 (@ tptp.bit0 tptp.one))))) X) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real (@ tptp.exp_real tptp.one_one_real))) (@ tptp.ln_ln_real (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 (@ tptp.bit0 tptp.one))))))) (@ tptp.ln_ln_real X))))))
% 13.98/14.28 (assume a6303 (= tptp.bit_ri631733984087533419it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.minus_minus_int (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N)) K3)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.suc N))) (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.bit_se1146084159140164899it_int K3) N)))))))
% 13.98/14.28 (assume a6304 (= tptp.arctan (lambda ((X2 tptp.real)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.arctan (@ (@ tptp.divide_divide_real X2) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.sqrt (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real X2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a6305 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 (@ tptp.bit0 tptp.one))))) X) (@ (@ tptp.times_times_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 (@ tptp.bit0 tptp.one))))) (@ tptp.exp_real tptp.one_one_real))) (@ tptp.ln_ln_real X))))))
% 13.98/14.28 (assume a6306 (forall ((X tptp.real) (Y tptp.real)) (= (= (@ tptp.sqrt X) (@ tptp.sqrt Y)) (= X Y))))
% 13.98/14.28 (assume a6307 (= (@ tptp.bit_se1146084159140164899it_int tptp.zero_zero_int) tptp.bot_bot_nat_o))
% 13.98/14.28 (assume a6308 (= (@ tptp.bit_se1148574629649215175it_nat tptp.zero_zero_nat) tptp.bot_bot_nat_o))
% 13.98/14.28 (assume a6309 (forall ((X tptp.real)) (= (= (@ tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real))))
% 13.98/14.28 (assume a6310 (= (@ tptp.sqrt tptp.zero_zero_real) tptp.zero_zero_real))
% 13.98/14.28 (assume a6311 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.28 (assume a6312 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.28 (assume a6313 (= (@ tptp.sqrt tptp.one_one_real) tptp.one_one_real))
% 13.98/14.28 (assume a6314 (forall ((X tptp.real)) (= (= (@ tptp.sqrt X) tptp.one_one_real) (= X tptp.one_one_real))))
% 13.98/14.28 (assume a6315 (forall ((Y tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y))))
% 13.98/14.28 (assume a6316 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.sqrt X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6317 (forall ((Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y))))
% 13.98/14.28 (assume a6318 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6319 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.sqrt X)) tptp.one_one_real) (@ (@ tptp.ord_less_real X) tptp.one_one_real))))
% 13.98/14.28 (assume a6320 (forall ((Y tptp.real)) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_real tptp.one_one_real) Y))))
% 13.98/14.28 (assume a6321 (forall ((Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) Y))))
% 13.98/14.28 (assume a6322 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt X)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real))))
% 13.98/14.28 (assume a6323 (forall ((A tptp.real)) (= (@ (@ tptp.log A) tptp.one_one_real) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6324 (forall ((X tptp.real)) (= (@ tptp.sqrt (@ (@ tptp.times_times_real X) X)) (@ tptp.abs_abs_real X))))
% 13.98/14.28 (assume a6325 (forall ((A tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.sqrt A)) (@ tptp.sqrt A)) (@ tptp.abs_abs_real A))))
% 13.98/14.28 (assume a6326 (forall ((M tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.suc N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int M)) N2))))
% 13.98/14.28 (assume a6327 (forall ((M tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 M))) (@ tptp.suc N2)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat M)) N2))))
% 13.98/14.28 (assume a6328 (forall ((M tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.suc N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int M)) N2))))
% 13.98/14.28 (assume a6329 (forall ((M tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 M))) (@ tptp.suc N2)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat M)) N2))))
% 13.98/14.28 (assume a6330 (= (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.28 (assume a6331 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.log A) X)) (@ (@ tptp.ord_less_real tptp.one_one_real) X))))))
% 13.98/14.28 (assume a6332 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real (@ (@ tptp.log A) X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.one_one_real))))))
% 13.98/14.28 (assume a6333 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.log A) X)) (@ (@ tptp.ord_less_real A) X))))))
% 13.98/14.28 (assume a6334 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real (@ (@ tptp.log A) X)) tptp.one_one_real) (@ (@ tptp.ord_less_real X) A))))))
% 13.98/14.28 (assume a6335 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_real (@ (@ tptp.log A) X)) (@ (@ tptp.log A) Y)) (@ (@ tptp.ord_less_real X) Y)))))))
% 13.98/14.28 (assume a6336 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (= (@ (@ tptp.log A) A) tptp.one_one_real)))))
% 13.98/14.28 (assume a6337 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) (not (@ (@ tptp.bit_se1146084159140164899it_int K) N2)))))
% 13.98/14.28 (assume a6338 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_ri631733984087533419it_int N2) K)) tptp.zero_zero_int) (@ (@ tptp.bit_se1146084159140164899it_int K) N2))))
% 13.98/14.28 (assume a6339 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.log A) X)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 13.98/14.28 (assume a6340 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log A) X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 13.98/14.28 (assume a6341 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.log A) X)) (@ (@ tptp.ord_less_eq_real A) X))))))
% 13.98/14.28 (assume a6342 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log A) X)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real X) A))))))
% 13.98/14.28 (assume a6343 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log A) X)) (@ (@ tptp.log A) Y)) (@ (@ tptp.ord_less_eq_real X) Y)))))))
% 13.98/14.28 (assume a6344 (forall ((W tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int (@ tptp.bit0 W))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int W)) (@ tptp.pred_numeral N2)))))
% 13.98/14.28 (assume a6345 (forall ((W tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 W))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat W)) (@ tptp.pred_numeral N2)))))
% 13.98/14.28 (assume a6346 (forall ((W tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 W)))) (@ tptp.suc N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int W))) N2))))
% 13.98/14.28 (assume a6347 (forall ((W tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int (@ tptp.bit1 W))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int W)) (@ tptp.pred_numeral N2)))))
% 13.98/14.28 (assume a6348 (forall ((W tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 W))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat W)) (@ tptp.pred_numeral N2)))))
% 13.98/14.28 (assume a6349 (forall ((W tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 W)))) (@ tptp.suc N2)) (not (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int W)) N2)))))
% 13.98/14.28 (assume a6350 (forall ((A tptp.code_integer)) (= (@ (@ tptp.bit_se9216721137139052372nteger A) tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.28 (assume a6351 (forall ((A tptp.int)) (= (@ (@ tptp.bit_se1146084159140164899it_int A) tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.28 (assume a6352 (forall ((A tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat A) tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)))))
% 13.98/14.28 (assume a6353 (forall ((X tptp.real)) (= (@ tptp.sqrt (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ tptp.abs_abs_real X))))
% 13.98/14.28 (assume a6354 (forall ((W tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 W)))) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int W))) (@ tptp.pred_numeral N2)))))
% 13.98/14.28 (assume a6355 (forall ((W tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 W)))) (@ tptp.numeral_numeral_nat N2)) (not (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int W)) (@ tptp.pred_numeral N2))))))
% 13.98/14.28 (assume a6356 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) N2) (and (= N2 tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6357 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.modulo_modulo_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) N2) (and (= N2 tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6358 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.modulo_modulo_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) N2) (and (= N2 tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6359 (forall ((X tptp.real)) (= (= (@ (@ tptp.power_power_real (@ tptp.sqrt X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a6360 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.power_power_real (@ tptp.sqrt X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) X))))
% 13.98/14.28 (assume a6361 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.real) (Ya tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.sqrt (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real Xa2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Ya) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real Xa2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Ya) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6362 (forall ((A2 tptp.set_nat) (N2 tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (=> (not (@ (@ tptp.member_nat N2) A2)) (= (@ tptp.nat_set_encode (@ (@ tptp.insert_nat N2) A2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ tptp.nat_set_encode A2)))))))
% 13.98/14.28 (assume a6363 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (=> (forall ((N4 tptp.nat)) (or (not (@ (@ tptp.bit_se1146084159140164899it_int A) N4)) (not (@ (@ tptp.bit_se1146084159140164899it_int B) N4)))) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.plus_plus_int A) B)) N2) (or (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (@ (@ tptp.bit_se1146084159140164899it_int B) N2))))))
% 13.98/14.28 (assume a6364 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (=> (forall ((N4 tptp.nat)) (or (not (@ (@ tptp.bit_se1148574629649215175it_nat A) N4)) (not (@ (@ tptp.bit_se1148574629649215175it_nat B) N4)))) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.plus_plus_nat A) B)) N2) (or (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (@ (@ tptp.bit_se1148574629649215175it_nat B) N2))))))
% 13.98/14.28 (assume a6365 (forall ((M tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.numeral_numeral_int M)) N2) (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat M)) N2))))
% 13.98/14.28 (assume a6366 (forall ((M tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat M)) N2) (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.numeral_numeral_nat M)) N2))))
% 13.98/14.28 (assume a6367 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)))))
% 13.98/14.28 (assume a6368 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)))))
% 13.98/14.28 (assume a6369 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.sqrt (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)))))
% 13.98/14.28 (assume a6370 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.sqrt (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.times_times_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)))))
% 13.98/14.28 (assume a6371 (forall ((X tptp.real) (K tptp.nat)) (= (@ tptp.sqrt (@ (@ tptp.power_power_real X) K)) (@ (@ tptp.power_power_real (@ tptp.sqrt X)) K))))
% 13.98/14.28 (assume a6372 (forall ((X tptp.real)) (= (@ tptp.sqrt (@ tptp.uminus_uminus_real X)) (@ tptp.uminus_uminus_real (@ tptp.sqrt X)))))
% 13.98/14.28 (assume a6373 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se725231765392027082nd_int A) B)) N2) (and (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (@ (@ tptp.bit_se1146084159140164899it_int B) N2)))))
% 13.98/14.28 (assume a6374 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.bit_se727722235901077358nd_nat A) B)) N2) (and (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (@ (@ tptp.bit_se1148574629649215175it_nat B) N2)))))
% 13.98/14.28 (assume a6375 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se1409905431419307370or_int A) B)) N2) (or (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (@ (@ tptp.bit_se1146084159140164899it_int B) N2)))))
% 13.98/14.28 (assume a6376 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.bit_se1412395901928357646or_nat A) B)) N2) (or (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (@ (@ tptp.bit_se1148574629649215175it_nat B) N2)))))
% 13.98/14.28 (assume a6377 (forall ((K tptp.int) (L2 tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se725231765392027082nd_int K) L2)) N2) (and (@ (@ tptp.bit_se1146084159140164899it_int K) N2) (@ (@ tptp.bit_se1146084159140164899it_int L2) N2)))))
% 13.98/14.28 (assume a6378 (forall ((M tptp.nat) (A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se4203085406695923979it_int M) A)) N2) (and (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (not (= M N2))))))
% 13.98/14.28 (assume a6379 (forall ((M tptp.nat) (A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.bit_se4205575877204974255it_nat M) A)) N2) (and (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (not (= M N2))))))
% 13.98/14.28 (assume a6380 (forall ((K tptp.int) (L2 tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se1409905431419307370or_int K) L2)) N2) (or (@ (@ tptp.bit_se1146084159140164899it_int K) N2) (@ (@ tptp.bit_se1146084159140164899it_int L2) N2)))))
% 13.98/14.28 (assume a6381 (forall ((N2 tptp.nat)) (not (@ (@ tptp.bit_se1146084159140164899it_int tptp.one_one_int) (@ tptp.suc N2)))))
% 13.98/14.28 (assume a6382 (forall ((N2 tptp.nat)) (not (@ (@ tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (@ tptp.suc N2)))))
% 13.98/14.28 (assume a6383 (forall ((N2 tptp.num)) (not (@ (@ tptp.bit_se1146084159140164899it_int tptp.one_one_int) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.28 (assume a6384 (forall ((N2 tptp.num)) (not (@ (@ tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.28 (assume a6385 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int tptp.one_one_int) N2) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6386 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) N2) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6387 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sqrt X)))))
% 13.98/14.28 (assume a6388 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sqrt X)))))
% 13.98/14.28 (assume a6389 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (= (@ tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 13.98/14.28 (assume a6390 (forall ((A tptp.int) (B tptp.int)) (=> (forall ((N4 tptp.nat)) (or (not (@ (@ tptp.bit_se1146084159140164899it_int A) N4)) (not (@ (@ tptp.bit_se1146084159140164899it_int B) N4)))) (= (@ (@ tptp.plus_plus_int A) B) (@ (@ tptp.bit_se1409905431419307370or_int A) B)))))
% 13.98/14.28 (assume a6391 (forall ((A tptp.nat) (B tptp.nat)) (=> (forall ((N4 tptp.nat)) (or (not (@ (@ tptp.bit_se1148574629649215175it_nat A) N4)) (not (@ (@ tptp.bit_se1148574629649215175it_nat B) N4)))) (= (@ (@ tptp.plus_plus_nat A) B) (@ (@ tptp.bit_se1412395901928357646or_nat A) B)))))
% 13.98/14.28 (assume a6392 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.sqrt X)))))
% 13.98/14.28 (assume a6393 (forall ((M tptp.nat) (A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se2923211474154528505it_int M) A)) N2) (and (@ (@ tptp.ord_less_nat N2) M) (@ (@ tptp.bit_se1146084159140164899it_int A) N2)))))
% 13.98/14.28 (assume a6394 (forall ((M tptp.nat) (A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.bit_se2925701944663578781it_nat M) A)) N2) (and (@ (@ tptp.ord_less_nat N2) M) (@ (@ tptp.bit_se1148574629649215175it_nat A) N2)))))
% 13.98/14.28 (assume a6395 (forall ((B Bool) (N2 tptp.nat)) (= (@ (@ tptp.bit_se9216721137139052372nteger (@ tptp.zero_n356916108424825756nteger B)) N2) (and B (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6396 (forall ((B Bool) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.zero_n2684676970156552555ol_int B)) N2) (and B (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6397 (forall ((B Bool) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.zero_n2687167440665602831ol_nat B)) N2) (and B (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6398 (= tptp.log (lambda ((A4 tptp.real) (X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real X2)) (@ tptp.ln_ln_real A4)))))
% 13.98/14.28 (assume a6399 (forall ((A tptp.int) (N2 tptp.nat)) (=> (not (@ (@ tptp.bit_se1146084159140164899it_int A) N2)) (= (@ (@ tptp.bit_ri631733984087533419it_int N2) A) (@ (@ tptp.bit_se2923211474154528505it_int N2) A)))))
% 13.98/14.28 (assume a6400 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.divide_divide_real X) (@ tptp.sqrt X)) (@ tptp.sqrt X)))))
% 13.98/14.28 (assume a6401 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real X) Y))) (@ (@ tptp.plus_plus_real (@ tptp.sqrt X)) (@ tptp.sqrt Y)))))))
% 13.98/14.28 (assume a6402 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real X) X)) (@ (@ tptp.times_times_real Y) Y))))))
% 13.98/14.28 (assume a6403 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int K)) tptp.one_one_int)) N2) (not (@ (@ tptp.bit_se1146084159140164899it_int K) N2)))))
% 13.98/14.28 (assume a6404 (= tptp.ln_ln_real (@ tptp.log (@ tptp.exp_real tptp.one_one_real))))
% 13.98/14.28 (assume a6405 (forall ((N2 tptp.nat)) (= (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2)) (@ (@ tptp.insert_nat (@ tptp.suc N2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 13.98/14.28 (assume a6406 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.insert_nat M) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.28 (assume a6407 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2)) (@ (@ tptp.insert_nat (@ tptp.suc N2)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))))))
% 13.98/14.28 (assume a6408 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.set_or1269000886237332187st_nat M) N2) (@ (@ tptp.insert_nat M) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2))))))
% 13.98/14.28 (assume a6409 (= tptp.bit_se2159334234014336723it_int (lambda ((N tptp.nat) (A4 tptp.int)) (@ (@ (@ (@ (@ tptp.if_nat_int_int (@ (@ tptp.bit_se1146084159140164899it_int A4) N)) tptp.bit_se4203085406695923979it_int) tptp.bit_se7879613467334960850it_int) N) A4))))
% 13.98/14.28 (assume a6410 (= tptp.bit_se2161824704523386999it_nat (lambda ((N tptp.nat) (A4 tptp.nat)) (@ (@ (@ (@ (@ tptp.if_nat_nat_nat (@ (@ tptp.bit_se1148574629649215175it_nat A4) N)) tptp.bit_se4205575877204974255it_nat) tptp.bit_se7882103937844011126it_nat) N) A4))))
% 13.98/14.28 (assume a6411 (@ (@ tptp.ord_less_real (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.28 (assume a6412 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (= (@ (@ tptp.log B) X) (@ (@ tptp.divide_divide_real (@ (@ tptp.log A) X)) (@ (@ tptp.log A) B)))))))
% 13.98/14.28 (assume a6413 (forall ((N2 tptp.nat) (M tptp.nat) (K tptp.int)) (=> (@ (@ tptp.ord_less_nat N2) M) (=> (@ (@ tptp.bit_se1146084159140164899it_int K) N2) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.bit_se2923211474154528505it_int M) K))))))
% 13.98/14.28 (assume a6414 (forall ((M tptp.nat) (K tptp.int) (L2 tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ (@ tptp.bit_concat_bit M) K) L2)) N2) (or (and (@ (@ tptp.ord_less_nat N2) M) (@ (@ tptp.bit_se1146084159140164899it_int K) N2)) (and (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.bit_se1146084159140164899it_int L2) (@ (@ tptp.minus_minus_nat N2) M)))))))
% 13.98/14.28 (assume a6415 (= tptp.bit_ri631733984087533419it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ (@ tptp.bit_concat_bit N) K3) (@ tptp.uminus_uminus_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.bit_se1146084159140164899it_int K3) N)))))))
% 13.98/14.28 (assume a6416 (forall ((N2 tptp.nat) (A tptp.int)) (=> (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_int) (not (@ (@ tptp.bit_se1146084159140164899it_int A) N2)))))
% 13.98/14.28 (assume a6417 (forall ((N2 tptp.nat) (A tptp.nat)) (=> (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) tptp.zero_zero_nat) (not (@ (@ tptp.bit_se1148574629649215175it_nat A) N2)))))
% 13.98/14.28 (assume a6418 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.bit_se9216721137139052372nteger A) (@ tptp.suc N2)) (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) N2))))
% 13.98/14.28 (assume a6419 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int A) (@ tptp.suc N2)) (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) N2))))
% 13.98/14.28 (assume a6420 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat A) (@ tptp.suc N2)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) N2))))
% 13.98/14.28 (assume a6421 (forall ((A tptp.code_integer) (N2 tptp.nat)) (=> (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se9216721137139052372nteger A) N2) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6422 (forall ((A tptp.int) (N2 tptp.nat)) (=> (= (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6423 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))))))
% 13.98/14.28 (assume a6424 (forall ((A tptp.code_integer)) (=> (forall ((N4 tptp.nat)) (= (@ (@ tptp.bit_se9216721137139052372nteger A) N4) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)))) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.28 (assume a6425 (forall ((A tptp.int)) (=> (forall ((N4 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int A) N4) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)))) (= (@ (@ tptp.divide_divide_int A) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.28 (assume a6426 (forall ((A tptp.nat)) (=> (forall ((N4 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat A) N4) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)))) (= (@ (@ tptp.divide_divide_nat A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))))
% 13.98/14.28 (assume a6427 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) Y) (@ (@ tptp.ord_less_real X) (@ tptp.sqrt Y)))))
% 13.98/14.28 (assume a6428 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) Y) (@ (@ tptp.ord_less_eq_real X) (@ tptp.sqrt Y)))))
% 13.98/14.28 (assume a6429 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt X)) Y) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a6430 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.log A) (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.log A) X)) (@ (@ tptp.log A) Y)))))))))
% 13.98/14.28 (assume a6431 (forall ((K tptp.int)) (not (forall ((N4 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N4) M2) (= (@ (@ tptp.bit_se1146084159140164899it_int K) M2) (@ (@ tptp.bit_se1146084159140164899it_int K) N4)))) (not (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (= (@ (@ tptp.bit_se1146084159140164899it_int K) (@ (@ tptp.minus_minus_nat N4) tptp.one_one_nat)) (not (@ (@ tptp.bit_se1146084159140164899it_int K) N4))))))))))
% 13.98/14.28 (assume a6432 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (= (@ (@ tptp.log A) (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.log A) X)) (@ (@ tptp.log A) Y)))))))))
% 13.98/14.28 (assume a6433 (= tptp.bit_se9216721137139052372nteger (lambda ((A4 tptp.code_integer) (N tptp.nat)) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide6298287555418463151nteger A4) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N)))))))
% 13.98/14.28 (assume a6434 (= tptp.bit_se1146084159140164899it_int (lambda ((A4 tptp.int) (N tptp.nat)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int A4) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))))
% 13.98/14.28 (assume a6435 (= tptp.bit_se1148574629649215175it_nat (lambda ((A4 tptp.nat) (N tptp.nat)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat A4) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))))
% 13.98/14.28 (assume a6436 (forall ((A tptp.int) (N2 tptp.nat)) (= (= (@ (@ tptp.bit_se725231765392027082nd_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) tptp.zero_zero_int) (not (@ (@ tptp.bit_se1146084159140164899it_int A) N2)))))
% 13.98/14.28 (assume a6437 (forall ((A tptp.nat) (N2 tptp.nat)) (= (= (@ (@ tptp.bit_se727722235901077358nd_nat A) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.zero_zero_nat) (not (@ (@ tptp.bit_se1148574629649215175it_nat A) N2)))))
% 13.98/14.28 (assume a6438 (forall ((Y tptp.real) (X tptp.real)) (=> (= (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ tptp.sqrt X) Y)))))
% 13.98/14.28 (assume a6439 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt X)) Y))))))
% 13.98/14.28 (assume a6440 (forall ((U tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) U) (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real U) (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) U))))
% 13.98/14.28 (assume a6441 (forall ((X tptp.real) (Y tptp.real)) (=> (= (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) Y) (= X tptp.zero_zero_real))))
% 13.98/14.28 (assume a6442 (forall ((X tptp.real) (Y tptp.real)) (=> (= (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) X) (= Y tptp.zero_zero_real))))
% 13.98/14.28 (assume a6443 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real A) C)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real B) D)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_plus_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real B) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real C) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real D) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6444 (forall ((Y tptp.real) (X tptp.real)) (@ (@ tptp.ord_less_eq_real Y) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6445 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6446 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) (@ tptp.sqrt Y)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) Y))))
% 13.98/14.28 (assume a6447 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (not (= B tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.log A) X) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real B)) (@ tptp.ln_ln_real A))) (@ (@ tptp.log B) X))))))))))
% 13.98/14.28 (assume a6448 (= tptp.bit_se1146084159140164899it_int (lambda ((K3 tptp.int) (N tptp.nat)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_int K3) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))))
% 13.98/14.28 (assume a6449 (forall ((A tptp.code_integer) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) A)) N2) (or (@ (@ tptp.bit_se9216721137139052372nteger A) N2) (= N2 tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a6450 (forall ((A tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.plus_plus_int tptp.one_one_int) A)) N2) (or (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (= N2 tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a6451 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.plus_plus_nat tptp.one_one_nat) A)) N2) (or (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (= N2 tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a6452 (forall ((A tptp.code_integer) (N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.bit_se9216721137139052372nteger A) N2) (or (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.minus_8373710615458151222nteger A) tptp.one_one_Code_integer)) N2) (= N2 tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a6453 (forall ((A tptp.int) (N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.bit_se1146084159140164899it_int A) N2) (or (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.minus_minus_int A) tptp.one_one_int)) N2) (= N2 tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a6454 (forall ((A tptp.nat) (N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (= (@ (@ tptp.bit_se1148574629649215175it_nat A) N2) (or (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.minus_minus_nat A) tptp.one_one_nat)) N2) (= N2 tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a6455 (forall ((N2 tptp.nat) (Z tptp.nat)) (=> (not (@ (@ tptp.member_nat N2) (@ tptp.nat_set_decode Z))) (= (@ tptp.nat_set_decode (@ (@ tptp.plus_plus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) Z)) (@ (@ tptp.insert_nat N2) (@ tptp.nat_set_decode Z))))))
% 13.98/14.28 (assume a6456 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real (@ tptp.sqrt X)) Y))))))
% 13.98/14.28 (assume a6457 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_plus_real X) Y))))))
% 13.98/14.28 (assume a6458 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ tptp.sqrt (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6459 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real X)) (@ tptp.abs_abs_real Y)))))
% 13.98/14.28 (assume a6460 (forall ((Y tptp.real) (X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6461 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6462 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.ln_ln_real (@ tptp.sqrt X)) (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real X)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a6463 (forall ((A tptp.code_integer) (B tptp.code_integer) (N2 tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (@ (@ tptp.bit_se9216721137139052372nteger A) (@ tptp.suc J2)))) (= (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.plus_p5714425477246183910nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B))) N2) (and (=> (= N2 tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A))) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) B)) N2)))))))
% 13.98/14.28 (assume a6464 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (@ (@ tptp.bit_se1146084159140164899it_int A) (@ tptp.suc J2)))) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B))) N2) (and (=> (= N2 tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A))) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) B)) N2)))))))
% 13.98/14.28 (assume a6465 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (@ (@ tptp.bit_se1148574629649215175it_nat A) (@ tptp.suc J2)))) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B))) N2) (and (=> (= N2 tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A))) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B)) N2)))))))
% 13.98/14.28 (assume a6466 (= tptp.bit_se9216721137139052372nteger (lambda ((A4 tptp.code_integer) (N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A4))) (=> (not (= N tptp.zero_zero_nat)) (@ (@ tptp.bit_se9216721137139052372nteger (@ (@ tptp.divide6298287555418463151nteger A4) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 13.98/14.28 (assume a6467 (= tptp.bit_se1146084159140164899it_int (lambda ((A4 tptp.int) (N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A4))) (=> (not (= N tptp.zero_zero_nat)) (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.divide_divide_int A4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 13.98/14.28 (assume a6468 (= tptp.bit_se1148574629649215175it_nat (lambda ((A4 tptp.nat) (N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A4))) (=> (not (= N tptp.zero_zero_nat)) (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.divide_divide_nat A4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 13.98/14.28 (assume a6469 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real X) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 13.98/14.28 (assume a6470 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.power_power_real (@ tptp.sqrt X)) N2) (@ (@ tptp.power_power_real X) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6471 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.real) (Ya tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sqrt (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real Xa2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Ya) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6472 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_eq_real (@ tptp.sqrt (@ (@ tptp.times_times_real X) Y))) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) Y)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6473 (forall ((A0 tptp.int) (A12 tptp.int) (P (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (@ (@ tptp.product_Pair_int_int A0) A12)) (=> (forall ((K2 tptp.int) (L4 tptp.int)) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (@ (@ tptp.product_Pair_int_int K2) L4)) (=> (=> (not (and (@ (@ tptp.member_int K2) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))) (@ (@ tptp.member_int L4) (@ (@ tptp.insert_int tptp.zero_zero_int) (@ (@ tptp.insert_int (@ tptp.uminus_uminus_int tptp.one_one_int)) tptp.bot_bot_set_int))))) (@ (@ P (@ (@ tptp.divide_divide_int K2) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L4) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))) (@ (@ P K2) L4)))) (@ (@ P A0) A12)))))
% 13.98/14.28 (assume a6474 (= tptp.bit_se7879613467334960850it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.plus_plus_int K3) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int (not (@ (@ tptp.bit_se1146084159140164899it_int K3) N)))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N))))))
% 13.98/14.28 (assume a6475 (= tptp.bit_se4203085406695923979it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.minus_minus_int K3) (@ (@ tptp.times_times_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.bit_se1146084159140164899it_int K3) N))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N))))))
% 13.98/14.28 (assume a6476 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.divide_divide_real X) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))) tptp.one_one_real)))
% 13.98/14.28 (assume a6477 (forall ((X tptp.real) (U tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) (@ (@ tptp.divide_divide_real U) (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real Y)) (@ (@ tptp.divide_divide_real U) (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ (@ tptp.ord_less_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) U)))))
% 13.98/14.28 (assume a6478 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (= (@ tptp.arcosh_real X) (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real X) (@ tptp.sqrt (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real))))))))
% 13.98/14.28 (assume a6479 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.suc N2)) K) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.bit_se1146084159140164899it_int K) N2)))) (@ (@ tptp.bit_se2923211474154528505it_int N2) K)))))
% 13.98/14.28 (assume a6480 (forall ((X tptp.real) (U tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real U) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_real Y) (@ (@ tptp.divide_divide_real U) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_real (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) U)))))))
% 13.98/14.28 (assume a6481 (forall ((A0 tptp.int) (A12 tptp.int) (P (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (@ (@ tptp.product_Pair_int_int A0) A12)) (=> (forall ((I4 tptp.int) (J2 tptp.int)) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (@ (@ tptp.product_Pair_int_int I4) J2)) (=> (=> (@ (@ tptp.ord_less_eq_int I4) J2) (@ (@ P (@ (@ tptp.plus_plus_int I4) tptp.one_one_int)) J2)) (@ (@ P I4) J2)))) (@ (@ P A0) A12)))))
% 13.98/14.28 (assume a6482 (= tptp.arsinh_real (lambda ((X2 tptp.real)) (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real X2) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 13.98/14.28 (assume a6483 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M))) (@ tptp.semiri5074537144036343181t_real N2))))))
% 13.98/14.28 (assume a6484 (= (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.arctan (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit1 (@ tptp.bit0 tptp.one))))))) (@ tptp.arctan (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit1 (@ tptp.bit1 (@ tptp.bit1 (@ tptp.bit1 (@ tptp.bit0 (@ tptp.bit1 (@ tptp.bit1 tptp.one)))))))))))))
% 13.98/14.28 (assume a6485 (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit1 (@ tptp.bit0 tptp.one)))) (@ tptp.arctan (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit1 (@ tptp.bit1 tptp.one))))))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.arctan (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))) (@ tptp.numeral_numeral_real (@ tptp.bit1 (@ tptp.bit1 (@ tptp.bit1 (@ tptp.bit1 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6486 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real X) (@ tptp.semiri5074537144036343181t_real N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.divide_divide_real X) (@ tptp.semiri5074537144036343181t_real N2)))) N2)) (@ tptp.exp_real (@ tptp.uminus_uminus_real X)))))))
% 13.98/14.28 (assume a6487 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.semiri5074537144036343181t_real M) (@ tptp.semiri5074537144036343181t_real N2)) (= M N2))))
% 13.98/14.28 (assume a6488 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.semiri1314217659103216013at_int M) (@ tptp.semiri1314217659103216013at_int N2)) (= M N2))))
% 13.98/14.28 (assume a6489 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.semiri1316708129612266289at_nat M) (@ tptp.semiri1316708129612266289at_nat N2)) (= M N2))))
% 13.98/14.28 (assume a6490 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.semiri8010041392384452111omplex M) (@ tptp.semiri8010041392384452111omplex N2)) (= M N2))))
% 13.98/14.28 (assume a6491 (forall ((M tptp.nat) (N2 tptp.nat)) (= (= (@ tptp.semiri4939895301339042750nteger M) (@ tptp.semiri4939895301339042750nteger N2)) (= M N2))))
% 13.98/14.28 (assume a6492 (forall ((N2 tptp.nat)) (= (@ tptp.abs_abs_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real N2))))
% 13.98/14.28 (assume a6493 (forall ((N2 tptp.nat)) (= (@ tptp.abs_abs_int (@ tptp.semiri1314217659103216013at_int N2)) (@ tptp.semiri1314217659103216013at_int N2))))
% 13.98/14.28 (assume a6494 (forall ((N2 tptp.nat)) (= (@ tptp.abs_abs_Code_integer (@ tptp.semiri4939895301339042750nteger N2)) (@ tptp.semiri4939895301339042750nteger N2))))
% 13.98/14.28 (assume a6495 (= (@ tptp.semiri4216267220026989637d_enat tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat))
% 13.98/14.28 (assume a6496 (= (@ tptp.semiri5074537144036343181t_real tptp.zero_zero_nat) tptp.zero_zero_real))
% 13.98/14.28 (assume a6497 (= (@ tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 13.98/14.28 (assume a6498 (= (@ tptp.semiri1316708129612266289at_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 13.98/14.28 (assume a6499 (= (@ tptp.semiri8010041392384452111omplex tptp.zero_zero_nat) tptp.zero_zero_complex))
% 13.98/14.28 (assume a6500 (= (@ tptp.semiri4939895301339042750nteger tptp.zero_zero_nat) tptp.zero_z3403309356797280102nteger))
% 13.98/14.28 (assume a6501 (forall ((N2 tptp.nat)) (= (= tptp.zero_z5237406670263579293d_enat (@ tptp.semiri4216267220026989637d_enat N2)) (= tptp.zero_zero_nat N2))))
% 13.98/14.28 (assume a6502 (forall ((N2 tptp.nat)) (= (= tptp.zero_zero_real (@ tptp.semiri5074537144036343181t_real N2)) (= tptp.zero_zero_nat N2))))
% 13.98/14.28 (assume a6503 (forall ((N2 tptp.nat)) (= (= tptp.zero_zero_int (@ tptp.semiri1314217659103216013at_int N2)) (= tptp.zero_zero_nat N2))))
% 13.98/14.28 (assume a6504 (forall ((N2 tptp.nat)) (= (= tptp.zero_zero_nat (@ tptp.semiri1316708129612266289at_nat N2)) (= tptp.zero_zero_nat N2))))
% 13.98/14.28 (assume a6505 (forall ((N2 tptp.nat)) (= (= tptp.zero_zero_complex (@ tptp.semiri8010041392384452111omplex N2)) (= tptp.zero_zero_nat N2))))
% 13.98/14.28 (assume a6506 (forall ((N2 tptp.nat)) (= (= tptp.zero_z3403309356797280102nteger (@ tptp.semiri4939895301339042750nteger N2)) (= tptp.zero_zero_nat N2))))
% 13.98/14.28 (assume a6507 (forall ((M tptp.nat)) (= (= (@ tptp.semiri4216267220026989637d_enat M) tptp.zero_z5237406670263579293d_enat) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6508 (forall ((M tptp.nat)) (= (= (@ tptp.semiri5074537144036343181t_real M) tptp.zero_zero_real) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6509 (forall ((M tptp.nat)) (= (= (@ tptp.semiri1314217659103216013at_int M) tptp.zero_zero_int) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6510 (forall ((M tptp.nat)) (= (= (@ tptp.semiri1316708129612266289at_nat M) tptp.zero_zero_nat) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6511 (forall ((M tptp.nat)) (= (= (@ tptp.semiri8010041392384452111omplex M) tptp.zero_zero_complex) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6512 (forall ((M tptp.nat)) (= (= (@ tptp.semiri4939895301339042750nteger M) tptp.zero_z3403309356797280102nteger) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6513 (forall ((N2 tptp.num)) (= (@ tptp.semiri4216267220026989637d_enat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numera1916890842035813515d_enat N2))))
% 13.98/14.28 (assume a6514 (forall ((N2 tptp.num)) (= (@ tptp.semiri5074537144036343181t_real (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_real N2))))
% 13.98/14.28 (assume a6515 (forall ((N2 tptp.num)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.28 (assume a6516 (forall ((N2 tptp.num)) (= (@ tptp.semiri1316708129612266289at_nat (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_nat N2))))
% 13.98/14.28 (assume a6517 (forall ((N2 tptp.num)) (= (@ tptp.semiri8010041392384452111omplex (@ tptp.numeral_numeral_nat N2)) (@ tptp.numera6690914467698888265omplex N2))))
% 13.98/14.28 (assume a6518 (forall ((N2 tptp.num)) (= (@ tptp.semiri4939895301339042750nteger (@ tptp.numeral_numeral_nat N2)) (@ tptp.numera6620942414471956472nteger N2))))
% 13.98/14.28 (assume a6519 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.semiri4216267220026989637d_enat M)) (@ tptp.semiri4216267220026989637d_enat N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6520 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6521 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6522 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6523 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6524 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.28 (assume a6525 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.28 (assume a6526 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.28 (assume a6527 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.28 (assume a6528 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2)))))
% 13.98/14.28 (assume a6529 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6530 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6531 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex M)) (@ tptp.semiri8010041392384452111omplex N2)))))
% 13.98/14.28 (assume a6532 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6533 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2)))))
% 13.98/14.28 (assume a6534 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6535 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6536 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex M)) (@ tptp.semiri8010041392384452111omplex N2)))))
% 13.98/14.28 (assume a6537 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6538 (forall ((N2 tptp.nat)) (= (= (@ tptp.semiri4216267220026989637d_enat N2) tptp.one_on7984719198319812577d_enat) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6539 (forall ((N2 tptp.nat)) (= (= (@ tptp.semiri5074537144036343181t_real N2) tptp.one_one_real) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6540 (forall ((N2 tptp.nat)) (= (= (@ tptp.semiri1314217659103216013at_int N2) tptp.one_one_int) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6541 (forall ((N2 tptp.nat)) (= (= (@ tptp.semiri1316708129612266289at_nat N2) tptp.one_one_nat) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6542 (forall ((N2 tptp.nat)) (= (= (@ tptp.semiri8010041392384452111omplex N2) tptp.one_one_complex) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6543 (forall ((N2 tptp.nat)) (= (= (@ tptp.semiri4939895301339042750nteger N2) tptp.one_one_Code_integer) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6544 (forall ((N2 tptp.nat)) (= (= tptp.one_on7984719198319812577d_enat (@ tptp.semiri4216267220026989637d_enat N2)) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6545 (forall ((N2 tptp.nat)) (= (= tptp.one_one_real (@ tptp.semiri5074537144036343181t_real N2)) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6546 (forall ((N2 tptp.nat)) (= (= tptp.one_one_int (@ tptp.semiri1314217659103216013at_int N2)) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6547 (forall ((N2 tptp.nat)) (= (= tptp.one_one_nat (@ tptp.semiri1316708129612266289at_nat N2)) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6548 (forall ((N2 tptp.nat)) (= (= tptp.one_one_complex (@ tptp.semiri8010041392384452111omplex N2)) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6549 (forall ((N2 tptp.nat)) (= (= tptp.one_one_Code_integer (@ tptp.semiri4939895301339042750nteger N2)) (= N2 tptp.one_one_nat))))
% 13.98/14.28 (assume a6550 (= (@ tptp.semiri4216267220026989637d_enat tptp.one_one_nat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.28 (assume a6551 (= (@ tptp.semiri5074537144036343181t_real tptp.one_one_nat) tptp.one_one_real))
% 13.98/14.28 (assume a6552 (= (@ tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 13.98/14.28 (assume a6553 (= (@ tptp.semiri1316708129612266289at_nat tptp.one_one_nat) tptp.one_one_nat))
% 13.98/14.28 (assume a6554 (= (@ tptp.semiri8010041392384452111omplex tptp.one_one_nat) tptp.one_one_complex))
% 13.98/14.28 (assume a6555 (= (@ tptp.semiri4939895301339042750nteger tptp.one_one_nat) tptp.one_one_Code_integer))
% 13.98/14.28 (assume a6556 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.power_power_nat M) N2)) (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real M)) N2))))
% 13.98/14.28 (assume a6557 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.power_power_nat M) N2)) (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int M)) N2))))
% 13.98/14.28 (assume a6558 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.power_power_nat M) N2)) (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat M)) N2))))
% 13.98/14.28 (assume a6559 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.power_power_nat M) N2)) (@ (@ tptp.power_power_complex (@ tptp.semiri8010041392384452111omplex M)) N2))))
% 13.98/14.28 (assume a6560 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.power_power_nat M) N2)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger M)) N2))))
% 13.98/14.28 (assume a6561 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real B)) W) (@ tptp.semiri5074537144036343181t_real X)) (= (@ (@ tptp.power_power_nat B) W) X))))
% 13.98/14.28 (assume a6562 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int B)) W) (@ tptp.semiri1314217659103216013at_int X)) (= (@ (@ tptp.power_power_nat B) W) X))))
% 13.98/14.28 (assume a6563 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat B)) W) (@ tptp.semiri1316708129612266289at_nat X)) (= (@ (@ tptp.power_power_nat B) W) X))))
% 13.98/14.28 (assume a6564 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (@ (@ tptp.power_power_complex (@ tptp.semiri8010041392384452111omplex B)) W) (@ tptp.semiri8010041392384452111omplex X)) (= (@ (@ tptp.power_power_nat B) W) X))))
% 13.98/14.28 (assume a6565 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger B)) W) (@ tptp.semiri4939895301339042750nteger X)) (= (@ (@ tptp.power_power_nat B) W) X))))
% 13.98/14.28 (assume a6566 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (@ tptp.semiri5074537144036343181t_real X) (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real B)) W)) (= X (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6567 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (@ tptp.semiri1314217659103216013at_int X) (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int B)) W)) (= X (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6568 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (@ tptp.semiri1316708129612266289at_nat X) (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat B)) W)) (= X (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6569 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (@ tptp.semiri8010041392384452111omplex X) (@ (@ tptp.power_power_complex (@ tptp.semiri8010041392384452111omplex B)) W)) (= X (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6570 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (@ tptp.semiri4939895301339042750nteger X) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger B)) W)) (= X (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6571 (forall ((P Bool)) (= (@ tptp.semiri5074537144036343181t_real (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n3304061248610475627l_real P))))
% 13.98/14.28 (assume a6572 (forall ((P Bool)) (= (@ tptp.semiri8010041392384452111omplex (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n1201886186963655149omplex P))))
% 13.98/14.28 (assume a6573 (forall ((P Bool)) (= (@ tptp.semiri1316708129612266289at_nat (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n2687167440665602831ol_nat P))))
% 13.98/14.28 (assume a6574 (forall ((P Bool)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n2684676970156552555ol_int P))))
% 13.98/14.28 (assume a6575 (forall ((P Bool)) (= (@ tptp.semiri4939895301339042750nteger (@ tptp.zero_n2687167440665602831ol_nat P)) (@ tptp.zero_n356916108424825756nteger P))))
% 13.98/14.28 (assume a6576 (forall ((M tptp.nat)) (= (@ (@ tptp.ord_le2932123472753598470d_enat (@ tptp.semiri4216267220026989637d_enat M)) tptp.zero_z5237406670263579293d_enat) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6577 (forall ((M tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real M)) tptp.zero_zero_real) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6578 (forall ((M tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.semiri4939895301339042750nteger M)) tptp.zero_z3403309356797280102nteger) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6579 (forall ((M tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1316708129612266289at_nat M)) tptp.zero_zero_nat) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6580 (forall ((M tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int M)) tptp.zero_zero_int) (= M tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6581 (forall ((M tptp.nat)) (= (@ tptp.semiri4216267220026989637d_enat (@ tptp.suc M)) (@ (@ tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) (@ tptp.semiri4216267220026989637d_enat M)))))
% 13.98/14.28 (assume a6582 (forall ((M tptp.nat)) (= (@ tptp.semiri5074537144036343181t_real (@ tptp.suc M)) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real M)))))
% 13.98/14.28 (assume a6583 (forall ((M tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.suc M)) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ tptp.semiri1314217659103216013at_int M)))))
% 13.98/14.28 (assume a6584 (forall ((M tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ tptp.suc M)) (@ (@ tptp.plus_plus_nat tptp.one_one_nat) (@ tptp.semiri1316708129612266289at_nat M)))))
% 13.98/14.28 (assume a6585 (forall ((M tptp.nat)) (= (@ tptp.semiri8010041392384452111omplex (@ tptp.suc M)) (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ tptp.semiri8010041392384452111omplex M)))))
% 13.98/14.28 (assume a6586 (forall ((M tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ tptp.suc M)) (@ (@ tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer) (@ tptp.semiri4939895301339042750nteger M)))))
% 13.98/14.28 (assume a6587 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.semiri4216267220026989637d_enat N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.28 (assume a6588 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.28 (assume a6589 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.28 (assume a6590 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.28 (assume a6591 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2))))
% 13.98/14.28 (assume a6592 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.power_8040749407984259932d_enat (@ tptp.numera1916890842035813515d_enat X)) N2) (@ tptp.semiri4216267220026989637d_enat Y)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) Y))))
% 13.98/14.28 (assume a6593 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2) (@ tptp.semiri5074537144036343181t_real Y)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) Y))))
% 13.98/14.28 (assume a6594 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2) (@ tptp.semiri1314217659103216013at_int Y)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) Y))))
% 13.98/14.28 (assume a6595 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) (@ tptp.semiri1316708129612266289at_nat Y)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) Y))))
% 13.98/14.28 (assume a6596 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex X)) N2) (@ tptp.semiri8010041392384452111omplex Y)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) Y))))
% 13.98/14.28 (assume a6597 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.nat)) (= (= (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger X)) N2) (@ tptp.semiri4939895301339042750nteger Y)) (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) Y))))
% 13.98/14.28 (assume a6598 (forall ((Y tptp.nat) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.semiri4216267220026989637d_enat Y) (@ (@ tptp.power_8040749407984259932d_enat (@ tptp.numera1916890842035813515d_enat X)) N2)) (= Y (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)))))
% 13.98/14.28 (assume a6599 (forall ((Y tptp.nat) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.semiri5074537144036343181t_real Y) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (= Y (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)))))
% 13.98/14.28 (assume a6600 (forall ((Y tptp.nat) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.semiri1314217659103216013at_int Y) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) (= Y (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)))))
% 13.98/14.28 (assume a6601 (forall ((Y tptp.nat) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.semiri1316708129612266289at_nat Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)) (= Y (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)))))
% 13.98/14.28 (assume a6602 (forall ((Y tptp.nat) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.semiri8010041392384452111omplex Y) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex X)) N2)) (= Y (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)))))
% 13.98/14.28 (assume a6603 (forall ((Y tptp.nat) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.semiri4939895301339042750nteger Y) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger X)) N2)) (= Y (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)))))
% 13.98/14.28 (assume a6604 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real B)) W)) (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6605 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int B)) W)) (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6606 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat B)) W)) (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6607 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger B)) W)) (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6608 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real B)) W)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6609 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int B)) W)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6610 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat B)) W)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6611 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger B)) W)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6612 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real B)) W)) (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6613 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger B)) W)) (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6614 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat B)) W)) (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6615 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int B)) W)) (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) W)) X))))
% 13.98/14.28 (assume a6616 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real B)) W)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6617 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger B)) W)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6618 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat B)) W)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6619 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int B)) W)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat B) W)))))
% 13.98/14.28 (assume a6620 (forall ((W tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real W)) (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat W)) N2))))
% 13.98/14.28 (assume a6621 (forall ((N2 tptp.nat) (W tptp.num)) (= (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.numeral_numeral_real W)) (@ (@ tptp.ord_less_nat N2) (@ tptp.numeral_numeral_nat W)))))
% 13.98/14.28 (assume a6622 (forall ((N2 tptp.num) (M tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real N2)) (@ tptp.semiri5074537144036343181t_real M)) (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat N2)) M))))
% 13.98/14.28 (assume a6623 (forall ((X tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.power_power_real (@ tptp.semiri5074537144036343181t_real X)) N2)) (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6624 (forall ((X tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.power_power_int (@ tptp.semiri1314217659103216013at_int X)) N2)) (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6625 (forall ((X tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.power_power_nat (@ tptp.semiri1316708129612266289at_nat X)) N2)) (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6626 (forall ((X tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.semiri4939895301339042750nteger X)) N2)) (or (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6627 (forall ((A tptp.real) (B tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (= (@ (@ tptp.log A) (@ (@ tptp.power_power_real A) B)) (@ tptp.semiri5074537144036343181t_real B))))))
% 13.98/14.28 (assume a6628 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real I2)) N2)) (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6629 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int I2)) N2)) (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6630 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6631 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger I2)) N2)) (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6632 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real I2)) N2)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6633 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int I2)) N2)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6634 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6635 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger I2)) N2)) (@ (@ tptp.ord_less_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6636 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real I2)) N2)) (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6637 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger I2)) N2)) (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6638 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6639 (forall ((I2 tptp.num) (N2 tptp.nat) (X tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int I2)) N2)) (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) X))))
% 13.98/14.28 (assume a6640 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real X)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real I2)) N2)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6641 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.semiri4939895301339042750nteger X)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger I2)) N2)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6642 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1316708129612266289at_nat X)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6643 (forall ((X tptp.nat) (I2 tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int X)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int I2)) N2)) (@ (@ tptp.ord_less_eq_nat X) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat I2)) N2)))))
% 13.98/14.28 (assume a6644 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6645 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6646 (forall ((N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6647 (forall ((X tptp.real)) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.semiri5074537144036343181t_real N4)))))
% 13.98/14.28 (assume a6648 (forall ((X tptp.real)) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_real X) (@ tptp.semiri5074537144036343181t_real N4)))))
% 13.98/14.28 (assume a6649 (forall ((X tptp.nat) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real X)) Y) (@ (@ tptp.times_times_real Y) (@ tptp.semiri5074537144036343181t_real X)))))
% 13.98/14.28 (assume a6650 (forall ((X tptp.nat) (Y tptp.int)) (= (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int X)) Y) (@ (@ tptp.times_times_int Y) (@ tptp.semiri1314217659103216013at_int X)))))
% 13.98/14.28 (assume a6651 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat X)) Y) (@ (@ tptp.times_times_nat Y) (@ tptp.semiri1316708129612266289at_nat X)))))
% 13.98/14.28 (assume a6652 (forall ((X tptp.nat) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex X)) Y) (@ (@ tptp.times_times_complex Y) (@ tptp.semiri8010041392384452111omplex X)))))
% 13.98/14.28 (assume a6653 (forall ((X tptp.nat) (Y tptp.code_integer)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger X)) Y) (@ (@ tptp.times_3573771949741848930nteger Y) (@ tptp.semiri4939895301339042750nteger X)))))
% 13.98/14.28 (assume a6654 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se9216721137139052372nteger (@ tptp.semiri4939895301339042750nteger M)) N2) (@ (@ tptp.bit_se1148574629649215175it_nat M) N2))))
% 13.98/14.28 (assume a6655 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.semiri1314217659103216013at_int M)) N2) (@ (@ tptp.bit_se1148574629649215175it_nat M) N2))))
% 13.98/14.28 (assume a6656 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.semiri1316708129612266289at_nat M)) N2) (@ (@ tptp.bit_se1148574629649215175it_nat M) N2))))
% 13.98/14.28 (assume a6657 (forall ((N2 tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.ring_1_of_int_real X)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int N2)) X))))
% 13.98/14.28 (assume a6658 (forall ((N2 tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int N2)) (@ tptp.ring_1_of_int_int X)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int N2)) X))))
% 13.98/14.28 (assume a6659 (forall ((N2 tptp.nat) (X tptp.int)) (= (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ tptp.ring_18347121197199848620nteger X)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int N2)) X))))
% 13.98/14.28 (assume a6660 (forall ((N2 tptp.nat)) (not (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.suc N2)))))
% 13.98/14.28 (assume a6661 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (= N2 tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6662 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ tptp.semiri4216267220026989637d_enat N2))))
% 13.98/14.28 (assume a6663 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.semiri5074537144036343181t_real N2))))
% 13.98/14.28 (assume a6664 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (@ tptp.semiri4939895301339042750nteger N2))))
% 13.98/14.28 (assume a6665 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ tptp.semiri1316708129612266289at_nat N2))))
% 13.98/14.28 (assume a6666 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.semiri1314217659103216013at_int N2))))
% 13.98/14.28 (assume a6667 (forall ((M tptp.nat)) (not (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.semiri4216267220026989637d_enat M)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.28 (assume a6668 (forall ((M tptp.nat)) (not (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real M)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6669 (forall ((M tptp.nat)) (not (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int M)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a6670 (forall ((M tptp.nat)) (not (@ (@ tptp.ord_less_nat (@ tptp.semiri1316708129612266289at_nat M)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6671 (forall ((M tptp.nat)) (not (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger M)) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.28 (assume a6672 (forall ((N2 tptp.nat)) (not (= (@ tptp.semiri4216267220026989637d_enat (@ tptp.suc N2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.28 (assume a6673 (forall ((N2 tptp.nat)) (not (= (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N2)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6674 (forall ((N2 tptp.nat)) (not (= (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N2)) tptp.zero_zero_int))))
% 13.98/14.28 (assume a6675 (forall ((N2 tptp.nat)) (not (= (@ tptp.semiri1316708129612266289at_nat (@ tptp.suc N2)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6676 (forall ((N2 tptp.nat)) (not (= (@ tptp.semiri8010041392384452111omplex (@ tptp.suc N2)) tptp.zero_zero_complex))))
% 13.98/14.28 (assume a6677 (forall ((N2 tptp.nat)) (not (= (@ tptp.semiri4939895301339042750nteger (@ tptp.suc N2)) tptp.zero_z3403309356797280102nteger))))
% 13.98/14.28 (assume a6678 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_int A) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2))) (@ (@ tptp.divide_divide_int (@ (@ tptp.divide_divide_int A) (@ tptp.semiri1314217659103216013at_int M))) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6679 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide_divide_nat A) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.divide_divide_nat A) (@ tptp.semiri1316708129612266289at_nat M))) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6680 (forall ((A tptp.code_integer) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.divide6298287555418463151nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2))) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.semiri4939895301339042750nteger M))) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6681 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.semiri4216267220026989637d_enat M)) (@ tptp.semiri4216267220026989637d_enat N2)))))
% 13.98/14.28 (assume a6682 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2)))))
% 13.98/14.28 (assume a6683 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6684 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6685 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6686 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_le72135733267957522d_enat (@ tptp.semiri4216267220026989637d_enat M)) (@ tptp.semiri4216267220026989637d_enat N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6687 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6688 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6689 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6690 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.28 (assume a6691 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real I2)) (@ tptp.semiri5074537144036343181t_real J)))))
% 13.98/14.28 (assume a6692 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.semiri4939895301339042750nteger I2)) (@ tptp.semiri4939895301339042750nteger J)))))
% 13.98/14.28 (assume a6693 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1316708129612266289at_nat I2)) (@ tptp.semiri1316708129612266289at_nat J)))))
% 13.98/14.28 (assume a6694 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int I2)) (@ tptp.semiri1314217659103216013at_int J)))))
% 13.98/14.28 (assume a6695 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat M) N2)) (@ (@ tptp.divide_divide_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6696 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.divide_divide_nat M) N2)) (@ (@ tptp.divide_divide_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6697 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.divide_divide_nat M) N2)) (@ (@ tptp.divide6298287555418463151nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6698 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.dvd_dvd_nat M) N2))))
% 13.98/14.28 (assume a6699 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.dvd_dvd_nat M) N2))))
% 13.98/14.28 (assume a6700 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.dvd_dvd_nat M) N2))))
% 13.98/14.28 (assume a6701 (@ (@ tptp.ord_less_real tptp.zero_zero_real) tptp.pi))
% 13.98/14.28 (assume a6702 (not (@ (@ tptp.ord_less_real tptp.pi) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6703 (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) tptp.pi))
% 13.98/14.28 (assume a6704 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.modulo_modulo_nat M) N2)) (@ (@ tptp.modulo_modulo_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6705 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.modulo_modulo_nat M) N2)) (@ (@ tptp.modulo_modulo_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6706 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.modulo_modulo_nat M) N2)) (@ (@ tptp.modulo364778990260209775nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6707 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ tptp.semiri4216267220026989637d_enat (@ (@ tptp.ord_max_nat X) Y)) (@ (@ tptp.ord_ma741700101516333627d_enat (@ tptp.semiri4216267220026989637d_enat X)) (@ tptp.semiri4216267220026989637d_enat Y)))))
% 13.98/14.28 (assume a6708 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.ord_max_nat X) Y)) (@ (@ tptp.ord_max_real (@ tptp.semiri5074537144036343181t_real X)) (@ tptp.semiri5074537144036343181t_real Y)))))
% 13.98/14.28 (assume a6709 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.ord_max_nat X) Y)) (@ (@ tptp.ord_max_int (@ tptp.semiri1314217659103216013at_int X)) (@ tptp.semiri1314217659103216013at_int Y)))))
% 13.98/14.28 (assume a6710 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.ord_max_nat X) Y)) (@ (@ tptp.ord_max_nat (@ tptp.semiri1316708129612266289at_nat X)) (@ tptp.semiri1316708129612266289at_nat Y)))))
% 13.98/14.28 (assume a6711 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.ord_max_nat X) Y)) (@ (@ tptp.ord_max_Code_integer (@ tptp.semiri4939895301339042750nteger X)) (@ tptp.semiri4939895301339042750nteger Y)))))
% 13.98/14.28 (assume a6712 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.bit_se1745604003318907178nteger N2) (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.bit_se2925701944663578781it_nat N2) M)))))
% 13.98/14.28 (assume a6713 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.bit_se2923211474154528505it_int N2) (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.bit_se2925701944663578781it_nat N2) M)))))
% 13.98/14.28 (assume a6714 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.bit_se2925701944663578781it_nat N2) M)))))
% 13.98/14.28 (assume a6715 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.bit_se727722235901077358nd_nat M) N2)) (@ (@ tptp.bit_se3949692690581998587nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6716 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.bit_se727722235901077358nd_nat M) N2)) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6717 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.bit_se727722235901077358nd_nat M) N2)) (@ (@ tptp.bit_se727722235901077358nd_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6718 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.bit_se1412395901928357646or_nat M) N2)) (@ (@ tptp.bit_se1080825931792720795nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2)))))
% 13.98/14.28 (assume a6719 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.bit_se1412395901928357646or_nat M) N2)) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)))))
% 13.98/14.28 (assume a6720 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.bit_se1412395901928357646or_nat M) N2)) (@ (@ tptp.bit_se1412395901928357646or_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2)))))
% 13.98/14.28 (assume a6721 (forall ((N2 tptp.nat)) (= (@ tptp.semiri4939895301339042750nteger (@ tptp.bit_se2002935070580805687sk_nat N2)) (@ tptp.bit_se2119862282449309892nteger N2))))
% 13.98/14.28 (assume a6722 (forall ((N2 tptp.nat)) (= (@ tptp.semiri1316708129612266289at_nat (@ tptp.bit_se2002935070580805687sk_nat N2)) (@ tptp.bit_se2002935070580805687sk_nat N2))))
% 13.98/14.28 (assume a6723 (forall ((N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.bit_se2002935070580805687sk_nat N2)) (@ tptp.bit_se2000444600071755411sk_int N2))))
% 13.98/14.28 (assume a6724 (forall ((N2 tptp.num)) (not (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.28 (assume a6725 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_real Y) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N4)) X))))))
% 13.98/14.28 (assume a6726 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_minus_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2))))))
% 13.98/14.28 (assume a6727 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_minus_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2))))))
% 13.98/14.28 (assume a6728 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_minus_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2))))))
% 13.98/14.28 (assume a6729 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_minus_complex (@ tptp.semiri8010041392384452111omplex M)) (@ tptp.semiri8010041392384452111omplex N2))))))
% 13.98/14.28 (assume a6730 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2))))))
% 13.98/14.28 (assume a6731 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ tptp.exp_real (@ (@ tptp.times_times_real X) (@ tptp.semiri5074537144036343181t_real N2))) (@ (@ tptp.power_power_real (@ tptp.exp_real X)) N2))))
% 13.98/14.28 (assume a6732 (forall ((X tptp.complex) (N2 tptp.nat)) (= (@ tptp.exp_complex (@ (@ tptp.times_times_complex X) (@ tptp.semiri8010041392384452111omplex N2))) (@ (@ tptp.power_power_complex (@ tptp.exp_complex X)) N2))))
% 13.98/14.28 (assume a6733 (forall ((N2 tptp.nat) (X tptp.real)) (= (@ tptp.exp_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) X)) (@ (@ tptp.power_power_real (@ tptp.exp_real X)) N2))))
% 13.98/14.28 (assume a6734 (forall ((N2 tptp.nat) (X tptp.complex)) (= (@ tptp.exp_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) X)) (@ (@ tptp.power_power_complex (@ tptp.exp_complex X)) N2))))
% 13.98/14.28 (assume a6735 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (forall ((Y2 tptp.real)) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_real Y2) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N4)) X)))))))
% 13.98/14.28 (assume a6736 (forall ((N2 tptp.nat) (X tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat N2) X))) (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real X)))))
% 13.98/14.28 (assume a6737 (forall ((D tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.dvd_dvd_nat D) N2) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat N2) D)) (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real D))))))
% 13.98/14.28 (assume a6738 (forall ((A tptp.int) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_int A) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int M)) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.divide_divide_int A) (@ tptp.semiri1314217659103216013at_int M))) (@ tptp.semiri1314217659103216013at_int N2)))) (@ (@ tptp.modulo_modulo_int A) (@ tptp.semiri1314217659103216013at_int M))))))
% 13.98/14.28 (assume a6739 (forall ((A tptp.nat) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat A) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ tptp.semiri1316708129612266289at_nat N2))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat M)) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.divide_divide_nat A) (@ tptp.semiri1316708129612266289at_nat M))) (@ tptp.semiri1316708129612266289at_nat N2)))) (@ (@ tptp.modulo_modulo_nat A) (@ tptp.semiri1316708129612266289at_nat M))))))
% 13.98/14.28 (assume a6740 (forall ((A tptp.code_integer) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.modulo364778990260209775nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger M)) (@ tptp.semiri4939895301339042750nteger N2))) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger M)) (@ (@ tptp.modulo364778990260209775nteger (@ (@ tptp.divide6298287555418463151nteger A) (@ tptp.semiri4939895301339042750nteger M))) (@ tptp.semiri4939895301339042750nteger N2)))) (@ (@ tptp.modulo364778990260209775nteger A) (@ tptp.semiri4939895301339042750nteger M))))))
% 13.98/14.28 (assume a6741 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat M) N2)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.modulo_modulo_nat M) N2)))) (@ tptp.semiri5074537144036343181t_real N2)))))
% 13.98/14.28 (assume a6742 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.divide_divide_nat M) N2)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.semiri8010041392384452111omplex M)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.modulo_modulo_nat M) N2)))) (@ tptp.semiri8010041392384452111omplex N2)))))
% 13.98/14.28 (assume a6743 (@ (@ tptp.ord_less_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6744 (= tptp.ord_less_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)) (@ tptp.semiri5074537144036343181t_real M6)))))
% 13.98/14.28 (assume a6745 (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))
% 13.98/14.28 (assume a6746 (= tptp.ord_less_eq_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N)) (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real M6)) tptp.one_one_real)))))
% 13.98/14.28 (assume a6747 (not (= (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6748 (forall ((M tptp.nat) (B tptp.real) (N2 tptp.nat)) (=> (= (@ tptp.semiri5074537144036343181t_real M) (@ (@ tptp.power_power_real B) N2)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (= (@ tptp.semiri5074537144036343181t_real N2) (@ (@ tptp.log B) (@ tptp.semiri5074537144036343181t_real M)))))))
% 13.98/14.28 (assume a6749 (forall ((B tptp.real) (N2 tptp.nat) (M tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.power_power_real B) N2)) M) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.log B) M))))))
% 13.98/14.28 (assume a6750 (forall ((X tptp.nat) (D tptp.nat)) (= (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real X)) (@ tptp.semiri5074537144036343181t_real D)) (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat X) D))) (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.modulo_modulo_nat X) D))) (@ tptp.semiri5074537144036343181t_real D))))))
% 13.98/14.28 (assume a6751 (forall ((E tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (not (forall ((N4 tptp.nat)) (not (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N4)))) E)))))))
% 13.98/14.28 (assume a6752 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6753 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6754 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_le6747313008572928689nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2))))
% 13.98/14.28 (assume a6755 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real M))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 13.98/14.28 (assume a6756 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_power_real (@ tptp.exp_real (@ (@ tptp.divide_divide_real X) (@ tptp.semiri5074537144036343181t_real N2)))) N2) (@ tptp.exp_real X)))))
% 13.98/14.28 (assume a6757 (forall ((N2 tptp.nat) (X tptp.complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.power_power_complex (@ tptp.exp_complex (@ (@ tptp.divide1717551699836669952omplex X) (@ tptp.semiri8010041392384452111omplex N2)))) N2) (@ tptp.exp_complex X)))))
% 13.98/14.28 (assume a6758 (forall ((X tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M5) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M5)) X)) C))) (= X tptp.zero_zero_real))))))
% 13.98/14.28 (assume a6759 (not (= (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6760 (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.28 (assume a6761 (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 13.98/14.28 (assume a6762 (forall ((N2 tptp.nat) (X tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real X))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat N2) X))))))
% 13.98/14.28 (assume a6763 (forall ((N2 tptp.nat) (X tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real X))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat N2) X)))) tptp.one_one_real)))
% 13.98/14.28 (assume a6764 (forall ((B tptp.real) (N2 tptp.nat) (M tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real B) N2)) M) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.log B) M))))))
% 13.98/14.28 (assume a6765 (forall ((A tptp.real) (N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ (@ tptp.log (@ (@ tptp.power_power_real A) N2)) X) (@ (@ tptp.divide_divide_real (@ (@ tptp.log A) X)) (@ tptp.semiri5074537144036343181t_real N2))))))
% 13.98/14.28 (assume a6766 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.ln_ln_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.ln_ln_real X))))))
% 13.98/14.28 (assume a6767 (forall ((X tptp.real) (B tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.log B) (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.log B) X))))))
% 13.98/14.28 (assume a6768 (= tptp.bit_se1148574629649215175it_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat M6) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))))
% 13.98/14.28 (assume a6769 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (= M (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ tptp.semiri5074537144036343181t_real N2) (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M))))))
% 13.98/14.28 (assume a6770 (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6771 (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6772 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) X)) tptp.one_one_real)) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)) N2)))))
% 13.98/14.28 (assume a6773 (forall ((M tptp.nat) (B tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real M)) (@ (@ tptp.power_power_real B) N2)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_real (@ (@ tptp.log B) (@ tptp.semiri5074537144036343181t_real M))) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 13.98/14.28 (assume a6774 (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))) tptp.pi))
% 13.98/14.28 (assume a6775 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) X))) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)) N2)))))
% 13.98/14.28 (assume a6776 (forall ((Y tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.arctan Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6777 (= (@ tptp.arctan tptp.one_one_real) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6778 (forall ((M tptp.nat) (B tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real M)) (@ (@ tptp.power_power_real B) N2)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log B) (@ tptp.semiri5074537144036343181t_real M))) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 13.98/14.28 (assume a6779 (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) tptp.zero_zero_real))
% 13.98/14.28 (assume a6780 (forall ((Y tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arctan Y)) (@ (@ tptp.ord_less_real (@ tptp.arctan Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a6781 (forall ((Y tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arctan Y))))
% 13.98/14.28 (assume a6782 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) M) (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M))))))
% 13.98/14.28 (assume a6783 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) M) (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M))))))
% 13.98/14.28 (assume a6784 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (@ (@ tptp.ord_less_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M))) (@ tptp.semiri5074537144036343181t_real N2))))))
% 13.98/14.28 (assume a6785 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) X))) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X)) N2)))))
% 13.98/14.28 (assume a6786 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) X) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.divide_divide_real X) (@ tptp.semiri5074537144036343181t_real N2)))) N2)) (@ tptp.exp_real X))))))
% 13.98/14.28 (assume a6787 (= tptp.semiri4216267220026989637d_enat (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= N tptp.zero_zero_nat)) tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.produc2676513652042109336d_enat (lambda ((M6 tptp.nat) (Q4 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= Q4 tptp.zero_zero_nat)) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) (@ tptp.semiri4216267220026989637d_enat M6))) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) (@ tptp.semiri4216267220026989637d_enat M6))) tptp.one_on7984719198319812577d_enat)))) (@ (@ tptp.divmod_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6788 (= tptp.semiri5074537144036343181t_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (= N tptp.zero_zero_nat)) tptp.zero_zero_real) (@ (@ tptp.produc1703576794950452218t_real (lambda ((M6 tptp.nat) (Q4 tptp.nat)) (@ (@ (@ tptp.if_real (= Q4 tptp.zero_zero_nat)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M6))) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M6))) tptp.one_one_real)))) (@ (@ tptp.divmod_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6789 (= tptp.semiri1314217659103216013at_int (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_int (= N tptp.zero_zero_nat)) tptp.zero_zero_int) (@ (@ tptp.produc6840382203811409530at_int (lambda ((M6 tptp.nat) (Q4 tptp.nat)) (@ (@ (@ tptp.if_int (= Q4 tptp.zero_zero_nat)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.semiri1314217659103216013at_int M6))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.semiri1314217659103216013at_int M6))) tptp.one_one_int)))) (@ (@ tptp.divmod_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6790 (= tptp.semiri8010041392384452111omplex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (= N tptp.zero_zero_nat)) tptp.zero_zero_complex) (@ (@ tptp.produc1917071388513777916omplex (lambda ((M6 tptp.nat) (Q4 tptp.nat)) (@ (@ (@ tptp.if_complex (= Q4 tptp.zero_zero_nat)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.semiri8010041392384452111omplex M6))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.semiri8010041392384452111omplex M6))) tptp.one_one_complex)))) (@ (@ tptp.divmod_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6791 (= tptp.semiri4939895301339042750nteger (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_Code_integer (= N tptp.zero_zero_nat)) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.produc1830744345554046123nteger (lambda ((M6 tptp.nat) (Q4 tptp.nat)) (@ (@ (@ tptp.if_Code_integer (= Q4 tptp.zero_zero_nat)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.semiri4939895301339042750nteger M6))) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.semiri4939895301339042750nteger M6))) tptp.one_one_Code_integer)))) (@ (@ tptp.divmod_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6792 (= tptp.semiri1316708129612266289at_nat (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_nat (= N tptp.zero_zero_nat)) tptp.zero_zero_nat) (@ (@ tptp.produc6842872674320459806at_nat (lambda ((M6 tptp.nat) (Q4 tptp.nat)) (@ (@ (@ tptp.if_nat (= Q4 tptp.zero_zero_nat)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.semiri1316708129612266289at_nat M6))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.semiri1316708129612266289at_nat M6))) tptp.one_one_nat)))) (@ (@ tptp.divmod_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a6793 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (@ tptp.topolo6980174941875973593q_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (@ (@ tptp.power_power_real X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat))))))))
% 13.98/14.28 (assume a6794 (forall ((H2 tptp.real) (Z tptp.real) (K5 tptp.real) (N2 tptp.nat)) (=> (not (= H2 tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real Z)) K5) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real Z) H2))) K5) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real Z) H2)) N2)) (@ (@ tptp.power_power_real Z) N2))) H2)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real Z) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))) (@ (@ tptp.power_power_real K5) (@ (@ tptp.minus_minus_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.real_V7735802525324610683m_real H2))))))))
% 13.98/14.28 (assume a6795 (forall ((H2 tptp.complex) (Z tptp.complex) (K5 tptp.real) (N2 tptp.nat)) (=> (not (= H2 tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex Z)) K5) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex Z) H2))) K5) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex Z) H2)) N2)) (@ (@ tptp.power_power_complex Z) N2))) H2)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) (@ (@ tptp.power_power_complex Z) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))) (@ (@ tptp.power_power_real K5) (@ (@ tptp.minus_minus_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.real_V1022390504157884413omplex H2))))))))
% 13.98/14.28 (assume a6796 (forall ((N2 tptp.nat)) (= (@ tptp.sin_real (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2))))
% 13.98/14.28 (assume a6797 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (= (@ tptp.ln_ln_real X) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat N) tptp.one_one_nat))))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real X) tptp.one_one_real)) (@ tptp.suc N))))))))))
% 13.98/14.28 (assume a6798 (forall ((M tptp.nat) (V tptp.num)) (= (= (@ tptp.semiri1314217659103216013at_int M) (@ tptp.numeral_numeral_int V)) (= M (@ tptp.numeral_numeral_nat V)))))
% 13.98/14.28 (assume a6799 (forall ((N2 tptp.nat) (M tptp.nat)) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N2)))) (@ tptp.semiri1314217659103216013at_int M))))
% 13.98/14.28 (assume a6800 (forall ((X tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.plus_plus_real X) tptp.pi)) (@ tptp.uminus_uminus_real (@ tptp.sin_real X)))))
% 13.98/14.28 (assume a6801 (forall ((X tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.plus_plus_real tptp.pi) X)) (@ tptp.uminus_uminus_real (@ tptp.sin_real X)))))
% 13.98/14.28 (assume a6802 (forall ((N2 tptp.nat)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real tptp.pi) (@ tptp.semiri5074537144036343181t_real N2))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6803 (forall ((N2 tptp.nat)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.pi)) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6804 (forall ((N2 tptp.int)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real tptp.pi) (@ tptp.ring_1_of_int_real N2))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6805 (forall ((F (-> tptp.nat tptp.complex))) (= (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N)))) (@ F tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6806 (forall ((F (-> tptp.nat tptp.real))) (= (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real tptp.zero_zero_real) N)))) (@ F tptp.zero_zero_nat))))
% 13.98/14.28 (assume a6807 (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) tptp.zero_zero_real))
% 13.98/14.28 (assume a6808 (= (@ tptp.sin_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.one_one_real))
% 13.98/14.28 (assume a6809 (forall ((X tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))) (@ tptp.sin_real X))))
% 13.98/14.28 (assume a6810 (forall ((N2 tptp.nat)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6811 (forall ((X tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) X)) (@ tptp.uminus_uminus_real (@ tptp.sin_real X)))))
% 13.98/14.28 (assume a6812 (forall ((N2 tptp.int)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (@ tptp.ring_1_of_int_real N2))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6813 (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.pi)) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.28 (assume a6814 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ tptp.sin_real X)) X))))
% 13.98/14.28 (assume a6815 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.sin_real X)) tptp.one_one_real)))
% 13.98/14.28 (assume a6816 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.sin_real X))) (@ tptp.abs_abs_real X))))
% 13.98/14.28 (assume a6817 (forall ((N2 tptp.num)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.numeral_numeral_nat N2)) (@ tptp.numeral_numeral_int N2))))
% 13.98/14.28 (assume a6818 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.real_V1022390504157884413omplex X))) (@ tptp.real_V1022390504157884413omplex X))))
% 13.98/14.28 (assume a6819 (forall ((Z tptp.int)) (=> (forall ((N4 tptp.nat)) (not (= Z (@ tptp.semiri1314217659103216013at_int N4)))) (not (forall ((N4 tptp.nat)) (not (= Z (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N4))))))))))
% 13.98/14.28 (assume a6820 (forall ((P (-> tptp.int Bool)) (Z tptp.int)) (=> (forall ((N4 tptp.nat)) (@ P (@ tptp.semiri1314217659103216013at_int N4))) (=> (forall ((N4 tptp.nat)) (@ P (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N4))))) (@ P Z)))))
% 13.98/14.28 (assume a6821 (= tptp.ord_less_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4)))))
% 13.98/14.28 (assume a6822 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int M)) (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 13.98/14.28 (assume a6823 (= tptp.ord_less_eq_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4)))))
% 13.98/14.28 (assume a6824 (forall ((B tptp.complex) (A tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex B) A))) (@ tptp.real_V1022390504157884413omplex B))) (@ tptp.real_V1022390504157884413omplex A))))
% 13.98/14.28 (assume a6825 (forall ((M tptp.nat) (N2 tptp.nat) (Z tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int M)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) Z)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat M) N2))) Z))))
% 13.98/14.28 (assume a6826 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat N2) M)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) (@ tptp.semiri1314217659103216013at_int M)))))
% 13.98/14.28 (assume a6827 (forall ((A tptp.nat) (B tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat A) B)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))))
% 13.98/14.28 (assume a6828 (forall ((A tptp.nat) (B tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.times_times_nat A) B)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))))
% 13.98/14.28 (assume a6829 (= (@ tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 13.98/14.28 (assume a6830 (forall ((A tptp.nat) (B tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat A) B)) (@ (@ tptp.divide_divide_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))))
% 13.98/14.28 (assume a6831 (= tptp.ord_less_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4)))))
% 13.98/14.28 (assume a6832 (= tptp.ord_less_eq_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4)))))
% 13.98/14.28 (assume a6833 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) tptp.pi) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sin_real X))))))
% 13.98/14.28 (assume a6834 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real X)) (@ tptp.sin_real X)))))
% 13.98/14.28 (assume a6835 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sin_real X))))))
% 13.98/14.28 (assume a6836 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.sin_real X))))
% 13.98/14.28 (assume a6837 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.sin_real X))) tptp.one_one_real)))
% 13.98/14.28 (assume a6838 (forall ((M tptp.int)) (=> (forall ((N4 tptp.nat)) (not (= M (@ tptp.semiri1314217659103216013at_int N4)))) (not (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (not (= M (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N4))))))))))
% 13.98/14.28 (assume a6839 (forall ((N2 tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N2)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int))))
% 13.98/14.28 (assume a6840 (forall ((A tptp.nat)) (= (@ tptp.semiri1314217659103216013at_int (@ tptp.suc A)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int A)) tptp.one_one_int))))
% 13.98/14.28 (assume a6841 (= tptp.ord_less_int (lambda ((W3 tptp.int) (Z5 tptp.int)) (exists ((N tptp.nat)) (= Z5 (@ (@ tptp.plus_plus_int W3) (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N))))))))
% 13.98/14.28 (assume a6842 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ tptp.exp_real X))) (@ tptp.exp_real (@ tptp.real_V7735802525324610683m_real X)))))
% 13.98/14.28 (assume a6843 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ tptp.exp_complex X))) (@ tptp.exp_real (@ tptp.real_V1022390504157884413omplex X)))))
% 13.98/14.28 (assume a6844 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.pi)) X) (=> (@ (@ tptp.ord_less_real X) tptp.pi) (=> (= (@ tptp.sin_real X) tptp.zero_zero_real) (= X tptp.zero_zero_real))))))
% 13.98/14.28 (assume a6845 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.pi) (= (= (@ tptp.sin_real X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 13.98/14.28 (assume a6846 (forall ((X tptp.real)) (= (= (@ tptp.sin_real X) tptp.zero_zero_real) (exists ((I5 tptp.int)) (= X (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real I5)) tptp.pi))))))
% 13.98/14.28 (assume a6847 (forall ((K tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) K) (exists ((N4 tptp.nat)) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (= K (@ tptp.semiri1314217659103216013at_int N4)))))))
% 13.98/14.28 (assume a6848 (forall ((K tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) K) (not (forall ((N4 tptp.nat)) (=> (= K (@ tptp.semiri1314217659103216013at_int N4)) (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4))))))))
% 13.98/14.28 (assume a6849 (forall ((K tptp.int)) (=> (not (= K tptp.zero_zero_int)) (=> (forall ((N4 tptp.nat)) (=> (= K (@ tptp.semiri1314217659103216013at_int N4)) (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4)))) (not (forall ((N4 tptp.nat)) (=> (= K (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N4))) (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4)))))))))
% 13.98/14.28 (assume a6850 (forall ((I2 tptp.int) (J tptp.int) (K tptp.nat)) (=> (@ (@ tptp.ord_less_int I2) J) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int K)) I2)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int K)) J))))))
% 13.98/14.28 (assume a6851 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N2)))))))
% 13.98/14.28 (assume a6852 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N2)))) tptp.zero_zero_int)))
% 13.98/14.28 (assume a6853 (forall ((X tptp.int)) (=> (@ (@ tptp.ord_less_int X) tptp.zero_zero_int) (exists ((N4 tptp.nat)) (= X (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N4))))))))
% 13.98/14.28 (assume a6854 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sin_real X))))))
% 13.98/14.28 (assume a6855 (forall ((K tptp.int)) (=> (@ (@ tptp.ord_less_int K) tptp.zero_zero_int) (not (forall ((N4 tptp.nat)) (=> (= K (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N4))) (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4))))))))
% 13.98/14.28 (assume a6856 (forall ((P (-> tptp.int Bool)) (X tptp.nat) (Y tptp.nat)) (= (@ P (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.minus_minus_nat X) Y))) (and (=> (@ (@ tptp.ord_less_eq_nat Y) X) (@ P (@ (@ tptp.minus_minus_int (@ tptp.semiri1314217659103216013at_int X)) (@ tptp.semiri1314217659103216013at_int Y)))) (=> (@ (@ tptp.ord_less_nat X) Y) (@ P tptp.zero_zero_int))))))
% 13.98/14.28 (assume a6857 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ tptp.topolo6980174941875973593q_real (@ tptp.power_power_real X))))))
% 13.98/14.28 (assume a6858 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.zero_zero_nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sin_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 13.98/14.28 (assume a6859 (= (@ tptp.sin_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))) (@ (@ tptp.divide_divide_real (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6860 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sin_real X))))))
% 13.98/14.28 (assume a6861 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.pi) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (@ (@ tptp.ord_less_real (@ tptp.sin_real X)) tptp.zero_zero_real)))))
% 13.98/14.28 (assume a6862 (= (@ tptp.sin_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 tptp.one))))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6863 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (= (@ tptp.sin_real X) (@ tptp.sin_real Y)) (= X Y))))))))
% 13.98/14.28 (assume a6864 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sin_real X)) (@ tptp.sin_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))))))
% 13.98/14.28 (assume a6865 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_eq_real Y) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.sin_real Y)) (@ tptp.sin_real X)))))))
% 13.98/14.28 (assume a6866 (= (@ tptp.sin_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))) (@ (@ tptp.divide_divide_real (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a6867 (forall ((Z tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real Z)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ tptp.exp_real Z))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6868 (forall ((Z tptp.complex)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex Z)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ tptp.exp_complex Z))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a6869 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.pi) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (@ (@ tptp.ord_less_eq_real (@ tptp.sin_real X)) tptp.zero_zero_real)))))
% 13.98/14.28 (assume a6870 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.sin_real X)) tptp.zero_zero_real)))))
% 13.98/14.28 (assume a6871 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_real (@ tptp.sin_real X)) (@ tptp.sin_real Y)) (@ (@ tptp.ord_less_real X) Y))))))))
% 13.98/14.28 (assume a6872 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_real Y) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real (@ tptp.sin_real Y)) (@ tptp.sin_real X)))))))
% 13.98/14.28 (assume a6873 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X5) (@ (@ tptp.ord_less_eq_real X5) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.sin_real X5) Y) (forall ((Y2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y2) (@ (@ tptp.ord_less_eq_real Y2) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.sin_real Y2) Y)) (= Y2 X5)))))))))
% 13.98/14.28 (assume a6874 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sin_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 13.98/14.28 (assume a6875 (forall ((X tptp.real)) (= (@ tptp.sin_real (@ tptp.arctan X)) (@ (@ tptp.divide_divide_real X) (@ tptp.sqrt (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a6876 (forall ((Z tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real Z)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ tptp.exp_real Z))) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.real_V7735802525324610683m_real Z)))))))
% 13.98/14.28 (assume a6877 (forall ((Z tptp.complex)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex Z)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ tptp.exp_complex Z))) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.real_V1022390504157884413omplex Z)))))))
% 13.98/14.28 (assume a6878 (forall ((X tptp.real)) (= (= (@ tptp.sin_real X) tptp.zero_zero_real) (exists ((I5 tptp.int)) (and (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) I5) (= X (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real I5)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a6879 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (= (@ tptp.sin_real X) tptp.zero_zero_real) (exists ((N4 tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N4) (= X (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N4)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))))
% 13.98/14.28 (assume a6880 (forall ((X tptp.real)) (= (= (@ tptp.sin_real X) tptp.zero_zero_real) (or (exists ((N tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) (= X (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))) (exists ((N tptp.nat)) (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) (= X (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a6881 (= (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ tptp.suminf_real (lambda ((K3 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) tptp.one_one_real)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))))))
% 13.98/14.28 (assume a6882 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (= (@ tptp.arctan X) (@ tptp.suminf_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (@ (@ tptp.power_power_real X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat))))))))))
% 13.98/14.28 (assume a6883 (forall ((A tptp.real) (W tptp.num)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.divide_divide_real A) (@ tptp.numeral_numeral_real W))) (@ (@ tptp.divide_divide_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.numeral_numeral_real W)))))
% 13.98/14.28 (assume a6884 (forall ((A tptp.complex) (W tptp.num)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.numera6690914467698888265omplex W))) (@ (@ tptp.divide_divide_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.numeral_numeral_real W)))))
% 13.98/14.28 (assume a6885 (forall ((A tptp.real) (W tptp.num)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.times_times_real A) (@ tptp.numeral_numeral_real W))) (@ (@ tptp.times_times_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.numeral_numeral_real W)))))
% 13.98/14.28 (assume a6886 (forall ((A tptp.complex) (W tptp.num)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex A) (@ tptp.numera6690914467698888265omplex W))) (@ (@ tptp.times_times_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.numeral_numeral_real W)))))
% 13.98/14.28 (assume a6887 (forall ((W tptp.num) (A tptp.real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) A)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) (@ tptp.real_V7735802525324610683m_real A)))))
% 13.98/14.28 (assume a6888 (forall ((W tptp.num) (A tptp.complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) A)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) (@ tptp.real_V1022390504157884413omplex A)))))
% 13.98/14.28 (assume a6889 (forall ((W tptp.num)) (= (@ tptp.real_V7735802525324610683m_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (@ tptp.numeral_numeral_real W))))
% 13.98/14.28 (assume a6890 (forall ((W tptp.num)) (= (@ tptp.real_V1022390504157884413omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) (@ tptp.numeral_numeral_real W))))
% 13.98/14.28 (assume a6891 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real X)) tptp.zero_zero_real) (= X tptp.zero_zero_real))))
% 13.98/14.28 (assume a6892 (forall ((X tptp.complex)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex X)) tptp.zero_zero_real) (= X tptp.zero_zero_complex))))
% 13.98/14.28 (assume a6893 (= (@ tptp.real_V7735802525324610683m_real tptp.one_one_real) tptp.one_one_real))
% 13.98/14.28 (assume a6894 (= (@ tptp.real_V1022390504157884413omplex tptp.one_one_complex) tptp.one_one_real))
% 13.98/14.28 (assume a6895 (forall ((W tptp.num)) (= (@ tptp.real_V7735802525324610683m_real (@ tptp.numeral_numeral_real W)) (@ tptp.numeral_numeral_real W))))
% 13.98/14.28 (assume a6896 (forall ((W tptp.num)) (= (@ tptp.real_V1022390504157884413omplex (@ tptp.numera6690914467698888265omplex W)) (@ tptp.numeral_numeral_real W))))
% 13.98/14.28 (assume a6897 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.real_V7735802525324610683m_real X)) (not (= X tptp.zero_zero_real)))))
% 13.98/14.28 (assume a6898 (forall ((X tptp.complex)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.real_V1022390504157884413omplex X)) (not (= X tptp.zero_zero_complex)))))
% 13.98/14.28 (assume a6899 (forall ((X tptp.complex)) (not (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6900 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.real_V1022390504157884413omplex X))))
% 13.98/14.28 (assume a6901 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.times_times_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real Y)))))
% 13.98/14.28 (assume a6902 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex X) Y)) (@ (@ tptp.times_times_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y)))))
% 13.98/14.28 (assume a6903 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.real_V7735802525324610683m_real B)))))
% 13.98/14.28 (assume a6904 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide_divide_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.real_V1022390504157884413omplex B)))))
% 13.98/14.28 (assume a6905 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real (@ tptp.real_V7735802525324610683m_real X)) N2))))
% 13.98/14.28 (assume a6906 (forall ((X tptp.complex) (N2 tptp.nat)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex X)) N2))))
% 13.98/14.28 (assume a6907 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real X)) Y)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real X) Y)))))
% 13.98/14.28 (assume a6908 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex X)) Y)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex X) Y)))))
% 13.98/14.28 (assume a6909 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.real_V7735802525324610683m_real B))))))
% 13.98/14.28 (assume a6910 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide_divide_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.real_V1022390504157884413omplex B))))))
% 13.98/14.28 (assume a6911 (forall ((W tptp.real) (N2 tptp.nat) (Z tptp.real)) (=> (= (@ (@ tptp.power_power_real W) N2) (@ (@ tptp.power_power_real Z) N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.real_V7735802525324610683m_real W) (@ tptp.real_V7735802525324610683m_real Z))))))
% 13.98/14.28 (assume a6912 (forall ((W tptp.complex) (N2 tptp.nat) (Z tptp.complex)) (=> (= (@ (@ tptp.power_power_complex W) N2) (@ (@ tptp.power_power_complex Z) N2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.real_V1022390504157884413omplex W) (@ tptp.real_V1022390504157884413omplex Z))))))
% 13.98/14.28 (assume a6913 (forall ((X tptp.real) (R tptp.real) (Y tptp.real) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real X)) R) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real Y)) S3) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.times_times_real X) Y))) (@ (@ tptp.times_times_real R) S3))))))
% 13.98/14.28 (assume a6914 (forall ((X tptp.complex) (R tptp.real) (Y tptp.complex) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X)) R) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex Y)) S3) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex X) Y))) (@ (@ tptp.times_times_real R) S3))))))
% 13.98/14.28 (assume a6915 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.times_times_real X) Y))) (@ (@ tptp.times_times_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real Y)))))
% 13.98/14.28 (assume a6916 (forall ((X tptp.complex) (Y tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex X) Y))) (@ (@ tptp.times_times_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y)))))
% 13.98/14.28 (assume a6917 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real Y))) E) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real X) Y))) E))))
% 13.98/14.28 (assume a6918 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y))) E) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex X) Y))) E))))
% 13.98/14.28 (assume a6919 (forall ((X tptp.real) (R tptp.real) (Y tptp.real) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real X)) R) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real Y)) S3) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real X) Y))) (@ (@ tptp.plus_plus_real R) S3))))))
% 13.98/14.28 (assume a6920 (forall ((X tptp.complex) (R tptp.real) (Y tptp.complex) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X)) R) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex Y)) S3) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex X) Y))) (@ (@ tptp.plus_plus_real R) S3))))))
% 13.98/14.28 (assume a6921 (forall ((X tptp.real) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.power_power_real X) N2))) (@ (@ tptp.power_power_real (@ tptp.real_V7735802525324610683m_real X)) N2))))
% 13.98/14.28 (assume a6922 (forall ((X tptp.complex) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.power_power_complex X) N2))) (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex X)) N2))))
% 13.98/14.28 (assume a6923 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real A) B))) C) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real B)) (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real A)) C)))))
% 13.98/14.28 (assume a6924 (forall ((A tptp.complex) (B tptp.complex) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex A) B))) C) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex B)) (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex A)) C)))))
% 13.98/14.28 (assume a6925 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real Y))) E) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real X) Y))) E))))
% 13.98/14.28 (assume a6926 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y))) E) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex X) Y))) E))))
% 13.98/14.28 (assume a6927 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real X) Y))) (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real Y)))))
% 13.98/14.28 (assume a6928 (forall ((X tptp.complex) (Y tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex X) Y))) (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y)))))
% 13.98/14.28 (assume a6929 (forall ((A tptp.real) (R tptp.real) (B tptp.real) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real A)) R) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real B)) S3) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real A) B))) (@ (@ tptp.plus_plus_real R) S3))))))
% 13.98/14.28 (assume a6930 (forall ((A tptp.complex) (R tptp.real) (B tptp.complex) (S3 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex A)) R) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex B)) S3) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex A) B))) (@ (@ tptp.plus_plus_real R) S3))))))
% 13.98/14.28 (assume a6931 (forall ((X tptp.real) (Y tptp.real) (E1 tptp.real) (Z tptp.real) (E22 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real X) Y))) E1) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real Y) Z))) E22) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real X) Z))) (@ (@ tptp.plus_plus_real E1) E22))))))
% 13.98/14.28 (assume a6932 (forall ((X tptp.complex) (Y tptp.complex) (E1 tptp.real) (Z tptp.complex) (E22 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex X) Y))) E1) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex Y) Z))) E22) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex X) Z))) (@ (@ tptp.plus_plus_real E1) E22))))))
% 13.98/14.28 (assume a6933 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real Y))) E) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real X) Y))) E))))
% 13.98/14.28 (assume a6934 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y))) E) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex X) Y))) E))))
% 13.98/14.28 (assume a6935 (forall ((X tptp.real) (Y tptp.real) (E1 tptp.real) (Z tptp.real) (E22 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real X) Y))) E1) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real Y) Z))) E22) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real X) Z))) (@ (@ tptp.plus_plus_real E1) E22))))))
% 13.98/14.28 (assume a6936 (forall ((X tptp.complex) (Y tptp.complex) (E1 tptp.real) (Z tptp.complex) (E22 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex X) Y))) E1) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex Y) Z))) E22) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex X) Z))) (@ (@ tptp.plus_plus_real E1) E22))))))
% 13.98/14.28 (assume a6937 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real A) B))) (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.real_V7735802525324610683m_real B)))))
% 13.98/14.28 (assume a6938 (forall ((A tptp.complex) (B tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex A) B))) (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.real_V1022390504157884413omplex B)))))
% 13.98/14.28 (assume a6939 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real X)) (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real Y)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real X) Y))))))
% 13.98/14.28 (assume a6940 (forall ((X tptp.complex) (Y tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex X)) (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex Y)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex X) Y))))))
% 13.98/14.28 (assume a6941 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.real_V7735802525324610683m_real B))) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real A) B)))))
% 13.98/14.28 (assume a6942 (forall ((A tptp.complex) (B tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.real_V1022390504157884413omplex B))) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex A) B)))))
% 13.98/14.28 (assume a6943 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.real_V7735802525324610683m_real B))) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real A) B)))))
% 13.98/14.28 (assume a6944 (forall ((A tptp.complex) (B tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.real_V1022390504157884413omplex B))) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex A) B)))))
% 13.98/14.28 (assume a6945 (forall ((W tptp.real) (N2 tptp.nat)) (=> (= (@ (@ tptp.power_power_real W) N2) tptp.one_one_real) (or (= (@ tptp.real_V7735802525324610683m_real W) tptp.one_one_real) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6946 (forall ((W tptp.complex) (N2 tptp.nat)) (=> (= (@ (@ tptp.power_power_complex W) N2) tptp.one_one_complex) (or (= (@ tptp.real_V1022390504157884413omplex W) tptp.one_one_real) (= N2 tptp.zero_zero_nat)))))
% 13.98/14.28 (assume a6947 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.plus_plus_real C) D)))) (@ (@ tptp.plus_plus_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real A) C))) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real B) D))))))
% 13.98/14.28 (assume a6948 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) B)) (@ (@ tptp.plus_plus_complex C) D)))) (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex A) C))) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex B) D))))))
% 13.98/14.28 (assume a6949 (forall ((A tptp.real) (B tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.real_V7735802525324610683m_real A)) (@ tptp.real_V7735802525324610683m_real B)))) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real A) B)))))
% 13.98/14.28 (assume a6950 (forall ((A tptp.complex) (B tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1022390504157884413omplex A)) (@ tptp.real_V1022390504157884413omplex B)))) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex A) B)))))
% 13.98/14.28 (assume a6951 (forall ((X tptp.real)) (=> (= (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_real) (= (@ tptp.real_V7735802525324610683m_real X) tptp.one_one_real))))
% 13.98/14.28 (assume a6952 (forall ((X tptp.complex)) (=> (= (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.one_one_complex) (= (@ tptp.real_V1022390504157884413omplex X) tptp.one_one_real))))
% 13.98/14.28 (assume a6953 (forall ((Z tptp.real) (W tptp.real) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real W)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real Z) M)) (@ (@ tptp.power_power_real W) M)))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real Z) W))))))))
% 13.98/14.28 (assume a6954 (forall ((Z tptp.complex) (W tptp.complex) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex W)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex Z) M)) (@ (@ tptp.power_power_complex W) M)))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex Z) W))))))))
% 13.98/14.28 (assume a6955 (forall ((C tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real C)) tptp.one_one_real) (= (@ tptp.suminf_real (@ tptp.power_power_real C)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.minus_minus_real tptp.one_one_real) C))))))
% 13.98/14.28 (assume a6956 (forall ((C tptp.complex)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex C)) tptp.one_one_real) (= (@ tptp.suminf_complex (@ tptp.power_power_complex C)) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) C))))))
% 13.98/14.28 (assume a6957 (forall ((B tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.log (@ tptp.semiri5074537144036343181t_real B)) (@ tptp.semiri5074537144036343181t_real K))) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int)) (and (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) N2)) K) (@ (@ tptp.ord_less_eq_nat K) (@ (@ tptp.power_power_nat B) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)))))))))
% 13.98/14.28 (assume a6958 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (@ (@ tptp.power_power_real X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))))))))
% 13.98/14.28 (assume a6959 (forall ((M tptp.nat)) (= (@ tptp.cos_real (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real tptp.pi) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M))))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a6960 (forall ((X tptp.real) (Y tptp.real)) (=> (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real) (not (forall ((T4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (=> (@ (@ tptp.ord_less_real T4) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (=> (= X (@ tptp.cos_real T4)) (not (= Y (@ tptp.sin_real T4)))))))))))
% 13.98/14.28 (assume a6961 (forall ((X tptp.real)) (= (= (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real X)) X) (exists ((N tptp.int)) (= X (@ tptp.ring_1_of_int_real N))))))
% 13.98/14.28 (assume a6962 (forall ((F (-> tptp.nat tptp.real)) (K tptp.nat)) (= (@ tptp.summable_real (lambda ((N tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat N) K)))) (@ tptp.summable_real F))))
% 13.98/14.28 (assume a6963 (= (@ tptp.cos_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 13.98/14.28 (assume a6964 (= (@ tptp.cos_real tptp.zero_zero_real) tptp.one_one_real))
% 13.98/14.28 (assume a6965 (forall ((V tptp.num)) (= (@ tptp.archim7802044766580827645g_real (@ tptp.numeral_numeral_real V)) (@ tptp.numeral_numeral_int V))))
% 13.98/14.28 (assume a6966 (= (@ tptp.archim7802044766580827645g_real tptp.one_one_real) tptp.one_one_int))
% 13.98/14.28 (assume a6967 (forall ((C tptp.complex) (F (-> tptp.nat tptp.complex))) (= (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))) (or (= C tptp.zero_zero_complex) (@ tptp.summable_complex F)))))
% 13.98/14.28 (assume a6968 (forall ((C tptp.real) (F (-> tptp.nat tptp.real))) (= (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))) (or (= C tptp.zero_zero_real) (@ tptp.summable_real F)))))
% 13.98/14.28 (assume a6969 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (= (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real (@ F N)) C))) (or (= C tptp.zero_zero_real) (@ tptp.summable_real F)))))
% 13.98/14.28 (assume a6970 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (= (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ F N)) C))) (or (= C tptp.zero_zero_complex) (@ tptp.summable_complex F)))))
% 13.98/14.28 (assume a6971 (forall ((X tptp.real) (Z tptp.int)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.plus_plus_real X) (@ tptp.ring_1_of_int_real Z))) (@ (@ tptp.plus_plus_int (@ tptp.archim7802044766580827645g_real X)) Z))))
% 13.98/14.28 (assume a6972 (= (@ tptp.cos_real tptp.pi) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.28 (assume a6973 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) tptp.pi)) (@ tptp.uminus_uminus_real (@ tptp.cos_real X)))))
% 13.98/14.28 (assume a6974 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.plus_plus_real tptp.pi) X)) (@ tptp.uminus_uminus_real (@ tptp.cos_real X)))))
% 13.98/14.28 (assume a6975 (forall ((X tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.cos_complex X))) (@ (@ tptp.times_times_complex (@ tptp.sin_complex X)) (@ tptp.sin_complex X))) tptp.one_one_complex)))
% 13.98/14.28 (assume a6976 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real X))) (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.sin_real X))) tptp.one_one_real)))
% 13.98/14.28 (assume a6977 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real X)) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6978 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a6979 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.numeral_numeral_int V)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.numeral_numeral_real V)))))
% 13.98/14.28 (assume a6980 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.archim7802044766580827645g_real X)) tptp.one_one_int) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a6981 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int V)) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ tptp.numeral_numeral_real V)) X))))
% 13.98/14.28 (assume a6982 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a6983 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real X)) tptp.one_one_int) (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real))))
% 13.98/14.28 (assume a6984 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int tptp.one_one_int) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real tptp.one_one_real) X))))
% 13.98/14.28 (assume a6985 (forall ((X tptp.real) (V tptp.num)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.plus_plus_real X) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.plus_plus_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.numeral_numeral_int V)))))
% 13.98/14.28 (assume a6986 (forall ((V tptp.num)) (= (@ tptp.archim7802044766580827645g_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V)))))
% 13.98/14.28 (assume a6987 (forall ((X tptp.real)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)) (@ (@ tptp.plus_plus_int (@ tptp.archim7802044766580827645g_real X)) tptp.one_one_int))))
% 13.98/14.28 (assume a6988 (forall ((X tptp.real) (V tptp.num)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.minus_minus_real X) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.minus_minus_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.numeral_numeral_int V)))))
% 13.98/14.28 (assume a6989 (forall ((X tptp.real)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.minus_minus_real X) tptp.one_one_real)) (@ (@ tptp.minus_minus_int (@ tptp.archim7802044766580827645g_real X)) tptp.one_one_int))))
% 13.98/14.28 (assume a6990 (forall ((X tptp.num) (N2 tptp.nat)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2))))
% 13.98/14.28 (assume a6991 (forall ((C tptp.real)) (= (@ tptp.summable_real (@ tptp.power_power_real C)) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real C)) tptp.one_one_real))))
% 13.98/14.28 (assume a6992 (forall ((C tptp.complex)) (= (@ tptp.summable_complex (@ tptp.power_power_complex C)) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex C)) tptp.one_one_real))))
% 13.98/14.28 (assume a6993 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.archim7802044766580827645g_real X)) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_real X) (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 13.98/14.28 (assume a6994 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X))))
% 13.98/14.28 (assume a6995 (forall ((A tptp.num) (B tptp.num)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real A)) (@ tptp.numeral_numeral_real B))) (@ tptp.uminus_uminus_int (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int A))) (@ tptp.numeral_numeral_int B))))))
% 13.98/14.28 (assume a6996 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.numeral_numeral_int V)) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.minus_minus_real (@ tptp.numeral_numeral_real V)) tptp.one_one_real)))))
% 13.98/14.28 (assume a6997 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int V)) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.numeral_numeral_real V)) tptp.one_one_real)) X))))
% 13.98/14.28 (assume a6998 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.ord_less_eq_real X) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))))))
% 13.98/14.28 (assume a6999 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) X))))
% 13.98/14.28 (assume a7000 (= (@ tptp.cos_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 13.98/14.28 (assume a7001 (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_real))
% 13.98/14.28 (assume a7002 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))) (@ tptp.cos_real X))))
% 13.98/14.28 (assume a7003 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) X)) (@ tptp.cos_real X))))
% 13.98/14.28 (assume a7004 (forall ((N2 tptp.nat)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.pi)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2))))
% 13.98/14.28 (assume a7005 (forall ((N2 tptp.nat)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real tptp.pi) (@ tptp.semiri5074537144036343181t_real N2))) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2))))
% 13.98/14.28 (assume a7006 (forall ((A tptp.num) (B tptp.num)) (= (@ tptp.archim7802044766580827645g_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real A)) (@ tptp.numeral_numeral_real B)))) (@ tptp.uminus_uminus_int (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int A)) (@ tptp.numeral_numeral_int B))))))
% 13.98/14.28 (assume a7007 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.sin_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 13.98/14.28 (assume a7008 (forall ((X tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.power_power_complex (@ tptp.cos_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.sin_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 13.98/14.28 (assume a7009 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.sin_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 13.98/14.28 (assume a7010 (forall ((X tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.power_power_complex (@ tptp.sin_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.cos_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 13.98/14.28 (assume a7011 (forall ((N2 tptp.nat)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)) tptp.one_one_real)))
% 13.98/14.28 (assume a7012 (forall ((N2 tptp.int)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (@ tptp.ring_1_of_int_real N2))) tptp.one_one_real)))
% 13.98/14.28 (assume a7013 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) tptp.one_one_real)))))
% 13.98/14.28 (assume a7014 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) tptp.one_one_real)) X))))
% 13.98/14.28 (assume a7015 (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.pi)) tptp.zero_zero_real))
% 13.98/14.28 (assume a7016 (forall ((N2 tptp.int)) (and (=> (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2) (= (@ tptp.cos_real (@ (@ tptp.times_times_real tptp.pi) (@ tptp.ring_1_of_int_real N2))) tptp.one_one_real)) (=> (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real tptp.pi) (@ tptp.ring_1_of_int_real N2))) (@ tptp.uminus_uminus_real tptp.one_one_real))))))
% 13.98/14.28 (assume a7017 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (exists ((N7 tptp.nat)) (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N7) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ F N4))) (@ G N4))))) (=> (@ tptp.summable_real G) (@ tptp.summable_real F)))))
% 13.98/14.28 (assume a7018 (forall ((F (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.real))) (=> (exists ((N7 tptp.nat)) (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N7) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F N4))) (@ G N4))))) (=> (@ tptp.summable_real G) (@ tptp.summable_complex F)))))
% 13.98/14.28 (assume a7019 (forall ((G (-> tptp.nat tptp.real)) (N3 tptp.nat) (F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real G) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N3) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ F N4))) (@ G N4)))) (@ tptp.summable_real F)))))
% 13.98/14.28 (assume a7020 (forall ((G (-> tptp.nat tptp.real)) (N3 tptp.nat) (F (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_real G) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N3) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F N4))) (@ G N4)))) (@ tptp.summable_complex F)))))
% 13.98/14.28 (assume a7021 (forall ((F (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_complex F) (=> (@ tptp.summable_complex G) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_complex (@ F N)) (@ G N))))))))
% 13.98/14.28 (assume a7022 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (=> (@ tptp.summable_real G) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_real (@ F N)) (@ G N))))))))
% 13.98/14.28 (assume a7023 (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_nat F) (=> (@ tptp.summable_nat G) (@ tptp.summable_nat (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ F N)) (@ G N))))))))
% 13.98/14.28 (assume a7024 (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ tptp.summable_int F) (=> (@ tptp.summable_int G) (@ tptp.summable_int (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_int (@ F N)) (@ G N))))))))
% 13.98/14.28 (assume a7025 (forall ((F (-> tptp.nat tptp.real)) (K tptp.nat)) (=> (@ tptp.summable_real F) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat N) K)))))))
% 13.98/14.28 (assume a7026 (forall ((F (-> tptp.nat tptp.real))) (= (@ tptp.summable_real (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) (@ tptp.summable_real F))))
% 13.98/14.28 (assume a7027 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ tptp.summable_real F) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real (@ F N)) C))))))
% 13.98/14.28 (assume a7028 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (=> (@ tptp.summable_complex F) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ F N)) C))))))
% 13.98/14.28 (assume a7029 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (=> (@ tptp.summable_complex F) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))))))
% 13.98/14.28 (assume a7030 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ tptp.summable_real F) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))))))
% 13.98/14.28 (assume a7031 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (=> (@ tptp.summable_complex F) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) C))))))
% 13.98/14.28 (assume a7032 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ tptp.summable_real F) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) C))))))
% 13.98/14.28 (assume a7033 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N4)) (@ G N4))) (=> (@ tptp.summable_real F) (=> (@ tptp.summable_real G) (@ (@ tptp.ord_less_eq_real (@ tptp.suminf_real F)) (@ tptp.suminf_real G)))))))
% 13.98/14.28 (assume a7034 (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ F N4)) (@ G N4))) (=> (@ tptp.summable_nat F) (=> (@ tptp.summable_nat G) (@ (@ tptp.ord_less_eq_nat (@ tptp.suminf_nat F)) (@ tptp.suminf_nat G)))))))
% 13.98/14.28 (assume a7035 (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ F N4)) (@ G N4))) (=> (@ tptp.summable_int F) (=> (@ tptp.summable_int G) (@ (@ tptp.ord_less_eq_int (@ tptp.suminf_int F)) (@ tptp.suminf_int G)))))))
% 13.98/14.28 (assume a7036 (forall ((C tptp.complex) (F (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))) (=> (not (= C tptp.zero_zero_complex)) (@ tptp.summable_complex F)))))
% 13.98/14.28 (assume a7037 (forall ((C tptp.real) (F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))) (=> (not (= C tptp.zero_zero_real)) (@ tptp.summable_real F)))))
% 13.98/14.28 (assume a7038 (@ tptp.summable_real (@ tptp.power_power_real tptp.zero_zero_real)))
% 13.98/14.28 (assume a7039 (@ tptp.summable_int (@ tptp.power_power_int tptp.zero_zero_int)))
% 13.98/14.28 (assume a7040 (@ tptp.summable_complex (@ tptp.power_power_complex tptp.zero_zero_complex)))
% 13.98/14.28 (assume a7041 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (=> (@ tptp.summable_complex F) (= (@ (@ tptp.times_times_complex (@ tptp.suminf_complex F)) C) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) C)))))))
% 13.98/14.28 (assume a7042 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ tptp.summable_real F) (= (@ (@ tptp.times_times_real (@ tptp.suminf_real F)) C) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) C)))))))
% 13.98/14.28 (assume a7043 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (=> (@ tptp.summable_complex F) (= (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))) (@ (@ tptp.times_times_complex C) (@ tptp.suminf_complex F))))))
% 13.98/14.28 (assume a7044 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ tptp.summable_real F) (= (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))) (@ (@ tptp.times_times_real C) (@ tptp.suminf_real F))))))
% 13.98/14.28 (assume a7045 (forall ((F (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_complex F) (=> (@ tptp.summable_complex G) (= (@ (@ tptp.plus_plus_complex (@ tptp.suminf_complex F)) (@ tptp.suminf_complex G)) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_complex (@ F N)) (@ G N)))))))))
% 13.98/14.28 (assume a7046 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (=> (@ tptp.summable_real G) (= (@ (@ tptp.plus_plus_real (@ tptp.suminf_real F)) (@ tptp.suminf_real G)) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_real (@ F N)) (@ G N)))))))))
% 13.98/14.28 (assume a7047 (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_nat F) (=> (@ tptp.summable_nat G) (= (@ (@ tptp.plus_plus_nat (@ tptp.suminf_nat F)) (@ tptp.suminf_nat G)) (@ tptp.suminf_nat (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ F N)) (@ G N)))))))))
% 13.98/14.28 (assume a7048 (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ tptp.summable_int F) (=> (@ tptp.summable_int G) (= (@ (@ tptp.plus_plus_int (@ tptp.suminf_int F)) (@ tptp.suminf_int G)) (@ tptp.suminf_int (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_int (@ F N)) (@ G N)))))))))
% 13.98/14.28 (assume a7049 (forall ((F (-> tptp.nat tptp.real)) (C tptp.real)) (=> (@ tptp.summable_real F) (= (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real (@ F N)) C))) (@ (@ tptp.divide_divide_real (@ tptp.suminf_real F)) C)))))
% 13.98/14.28 (assume a7050 (forall ((F (-> tptp.nat tptp.complex)) (C tptp.complex)) (=> (@ tptp.summable_complex F) (= (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ F N)) C))) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.suminf_complex F)) C)))))
% 13.98/14.28 (assume a7051 (forall ((F (-> tptp.nat tptp.real)) (X tptp.real) (Z tptp.real)) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real X) N)))) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real Z)) (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))))))))
% 13.98/14.28 (assume a7052 (forall ((F (-> tptp.nat tptp.complex)) (X tptp.complex) (Z tptp.complex)) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex X) N)))) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))))))))
% 13.98/14.28 (assume a7053 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F N4))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.suminf_real F))))))
% 13.98/14.28 (assume a7054 (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_nat F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F N4))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ tptp.suminf_nat F))))))
% 13.98/14.28 (assume a7055 (forall ((F (-> tptp.nat tptp.int))) (=> (@ tptp.summable_int F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F N4))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.suminf_int F))))))
% 13.98/14.28 (assume a7056 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F N4))) (= (= (@ tptp.suminf_real F) tptp.zero_zero_real) (forall ((N tptp.nat)) (= (@ F N) tptp.zero_zero_real)))))))
% 13.98/14.28 (assume a7057 (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_nat F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F N4))) (= (= (@ tptp.suminf_nat F) tptp.zero_zero_nat) (forall ((N tptp.nat)) (= (@ F N) tptp.zero_zero_nat)))))))
% 13.98/14.28 (assume a7058 (forall ((F (-> tptp.nat tptp.int))) (=> (@ tptp.summable_int F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F N4))) (= (= (@ tptp.suminf_int F) tptp.zero_zero_int) (forall ((N tptp.nat)) (= (@ F N) tptp.zero_zero_int)))))))
% 13.98/14.28 (assume a7059 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F N4))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.suminf_real F))))))
% 13.98/14.28 (assume a7060 (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_nat F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F N4))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.suminf_nat F))))))
% 13.98/14.28 (assume a7061 (forall ((F (-> tptp.nat tptp.int))) (=> (@ tptp.summable_int F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F N4))) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.suminf_int F))))))
% 13.98/14.28 (assume a7062 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real Y) X) (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real Y)) (@ tptp.archim7802044766580827645g_real X)))))
% 13.98/14.28 (assume a7063 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real X)))))
% 13.98/14.28 (assume a7064 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.archim7802044766580827645g_real Y)) (@ (@ tptp.ord_less_real X) Y))))
% 13.98/14.28 (assume a7065 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.cos_real X)) tptp.one_one_real)))
% 13.98/14.28 (assume a7066 (forall ((F (-> tptp.nat tptp.complex))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N))))))
% 13.98/14.28 (assume a7067 (forall ((F (-> tptp.nat tptp.real))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real tptp.zero_zero_real) N))))))
% 13.98/14.28 (assume a7068 (forall ((F (-> tptp.nat tptp.int))) (@ tptp.summable_int (lambda ((N tptp.nat)) (@ (@ tptp.times_times_int (@ F N)) (@ (@ tptp.power_power_int tptp.zero_zero_int) N))))))
% 13.98/14.28 (assume a7069 (forall ((F (-> tptp.nat tptp.complex))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N))))))
% 13.98/14.28 (assume a7070 (forall ((F (-> tptp.nat tptp.real))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real tptp.zero_zero_real) N))))))
% 13.98/14.28 (assume a7071 (forall ((F (-> tptp.nat tptp.complex)) (Z tptp.complex)) (= (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_complex Z) N)))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))))))
% 13.98/14.28 (assume a7072 (forall ((F (-> tptp.nat tptp.real)) (Z tptp.real)) (= (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_real Z) N)))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))))))
% 13.98/14.28 (assume a7073 (forall ((F (-> tptp.nat tptp.complex)) (Z tptp.complex)) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_complex Z) N)))))))
% 13.98/14.28 (assume a7074 (forall ((F (-> tptp.nat tptp.real)) (Z tptp.real)) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_real Z) N)))))))
% 13.98/14.28 (assume a7075 (forall ((F (-> tptp.nat tptp.complex)) (M tptp.nat) (Z tptp.complex)) (= (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F (@ (@ tptp.plus_plus_nat N) M))) (@ (@ tptp.power_power_complex Z) N)))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))))))
% 13.98/14.28 (assume a7076 (forall ((F (-> tptp.nat tptp.real)) (M tptp.nat) (Z tptp.real)) (= (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F (@ (@ tptp.plus_plus_nat N) M))) (@ (@ tptp.power_power_real Z) N)))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))))))
% 13.98/14.28 (assume a7077 (forall ((X tptp.real) (Y tptp.real)) (exists ((R3 tptp.real) (A3 tptp.real)) (and (= X (@ (@ tptp.times_times_real R3) (@ tptp.cos_real A3))) (= Y (@ (@ tptp.times_times_real R3) (@ tptp.sin_real A3)))))))
% 13.98/14.28 (assume a7078 (forall ((F (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.real))) (=> (exists ((N7 tptp.nat)) (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N7) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F N4))) (@ G N4))))) (=> (@ tptp.summable_real G) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ F N))))))))
% 13.98/14.28 (assume a7079 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (exists ((N7 tptp.nat)) (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N7) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ F N4))) (@ G N4))))) (=> (@ tptp.summable_real G) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.abs_abs_real (@ F N))))))))
% 13.98/14.28 (assume a7080 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.abs_abs_real (@ F N)))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.suminf_real F))) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ tptp.abs_abs_real (@ F N))))))))
% 13.98/14.28 (assume a7081 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F N4))) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.suminf_real F)) (exists ((I5 tptp.nat)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I5))))))))
% 13.98/14.28 (assume a7082 (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_nat F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F N4))) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.suminf_nat F)) (exists ((I5 tptp.nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I5))))))))
% 13.98/14.28 (assume a7083 (forall ((F (-> tptp.nat tptp.int))) (=> (@ tptp.summable_int F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F N4))) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.suminf_int F)) (exists ((I5 tptp.nat)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F I5))))))))
% 13.98/14.28 (assume a7084 (forall ((F (-> tptp.nat tptp.real)) (I2 tptp.nat)) (=> (@ tptp.summable_real F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F N4))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I2)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.suminf_real F)))))))
% 13.98/14.28 (assume a7085 (forall ((F (-> tptp.nat tptp.nat)) (I2 tptp.nat)) (=> (@ tptp.summable_nat F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F N4))) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I2)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.suminf_nat F)))))))
% 13.98/14.28 (assume a7086 (forall ((F (-> tptp.nat tptp.int)) (I2 tptp.nat)) (=> (@ tptp.summable_int F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F N4))) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F I2)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.suminf_int F)))))))
% 13.98/14.28 (assume a7087 (forall ((X tptp.complex)) (=> (= (@ tptp.cos_complex X) tptp.one_one_complex) (= (@ tptp.sin_complex X) tptp.zero_zero_complex))))
% 13.98/14.28 (assume a7088 (forall ((X tptp.real)) (=> (= (@ tptp.cos_real X) tptp.one_one_real) (= (@ tptp.sin_real X) tptp.zero_zero_real))))
% 13.98/14.28 (assume a7089 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.sin_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.sin_complex X)) (@ tptp.cos_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.sin_complex Y))))))
% 13.98/14.28 (assume a7090 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.cos_real Y))) (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.sin_real Y))))))
% 13.98/14.28 (assume a7091 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.sin_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.sin_complex X)) (@ tptp.cos_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.sin_complex Y))))))
% 13.98/14.28 (assume a7092 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.cos_real Y))) (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.sin_real Y))))))
% 13.98/14.28 (assume a7093 (forall ((C tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real C)) tptp.one_one_real) (@ tptp.summable_real (@ tptp.power_power_real C)))))
% 13.98/14.28 (assume a7094 (forall ((C tptp.complex)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex C)) tptp.one_one_real) (@ tptp.summable_complex (@ tptp.power_power_complex C)))))
% 13.98/14.28 (assume a7095 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real X)) tptp.one_one_real) (@ tptp.summable_real (@ tptp.power_power_real X)))))
% 13.98/14.28 (assume a7096 (forall ((X tptp.complex)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X)) tptp.one_one_real) (@ tptp.summable_complex (@ tptp.power_power_complex X)))))
% 13.98/14.28 (assume a7097 (forall ((F (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_complex F) (= (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) (@ (@ tptp.minus_minus_complex (@ tptp.suminf_complex F)) (@ F tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a7098 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real F) (= (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) (@ (@ tptp.minus_minus_real (@ tptp.suminf_real F)) (@ F tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a7099 (forall ((X tptp.real) (Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real X)) Z) (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real Z)))))
% 13.98/14.28 (assume a7100 (forall ((X tptp.real) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real A)) (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real X)) A))))
% 13.98/14.28 (assume a7101 (forall ((Z tptp.int) (X tptp.real)) (= (@ (@ tptp.ord_less_int Z) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real Z)) X))))
% 13.98/14.28 (assume a7102 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real (@ (@ tptp.plus_plus_real X) Y))) (@ (@ tptp.plus_plus_int (@ tptp.archim7802044766580827645g_real X)) (@ tptp.archim7802044766580827645g_real Y)))))
% 13.98/14.28 (assume a7103 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.pi) (=> (= (@ tptp.cos_real X) (@ tptp.cos_real Y)) (= X Y))))))))
% 13.98/14.28 (assume a7104 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.pi) (= (@ (@ tptp.ord_less_eq_real (@ tptp.cos_real X)) (@ tptp.cos_real Y)) (@ (@ tptp.ord_less_eq_real Y) X))))))))
% 13.98/14.28 (assume a7105 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (@ (@ tptp.ord_less_eq_real (@ tptp.cos_real X)) (@ tptp.cos_real Y)))))))
% 13.98/14.28 (assume a7106 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.cos_real X))))
% 13.98/14.28 (assume a7107 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.cos_real X))) tptp.one_one_real)))
% 13.98/14.28 (assume a7108 (forall ((F (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ F N)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ tptp.suminf_real F))) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ F N))))))))
% 13.98/14.28 (assume a7109 (forall ((F (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ F N)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ tptp.suminf_complex F))) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ F N))))))))
% 13.98/14.28 (assume a7110 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.cos_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.cos_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.sin_complex X)) (@ tptp.sin_complex Y))))))
% 13.98/14.28 (assume a7111 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real Y))) (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.sin_real Y))))))
% 13.98/14.28 (assume a7112 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.cos_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.sin_complex X)) (@ tptp.sin_complex Y))))))
% 13.98/14.28 (assume a7113 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real Y))) (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.sin_real Y))))))
% 13.98/14.28 (assume a7114 (forall ((X tptp.real)) (=> (= (@ tptp.sin_real X) tptp.zero_zero_real) (= (@ tptp.real_V7735802525324610683m_real (@ tptp.cos_real X)) tptp.one_one_real))))
% 13.98/14.28 (assume a7115 (forall ((X tptp.complex)) (=> (= (@ tptp.sin_complex X) tptp.zero_zero_complex) (= (@ tptp.real_V1022390504157884413omplex (@ tptp.cos_complex X)) tptp.one_one_real))))
% 13.98/14.28 (assume a7116 (forall ((R tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real R))) (@ (@ tptp.plus_plus_real R) tptp.one_one_real))))
% 13.98/14.28 (assume a7117 (forall ((R tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real R))) tptp.one_one_real)) R)))
% 13.98/14.28 (assume a7118 (not (= (@ tptp.cos_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 13.98/14.28 (assume a7119 (forall ((F (-> tptp.nat tptp.real)) (X tptp.real) (Z tptp.real)) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real X) N)))) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real Z)) (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N))))))))
% 13.98/14.28 (assume a7120 (forall ((F (-> tptp.nat tptp.complex)) (X tptp.complex) (Z tptp.complex)) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex X) N)))) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N))))))))
% 13.98/14.28 (assume a7121 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_real Y) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (@ (@ tptp.ord_less_real (@ tptp.cos_real X)) (@ tptp.cos_real Y)))))))
% 13.98/14.28 (assume a7122 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.pi) (= (@ (@ tptp.ord_less_real (@ tptp.cos_real X)) (@ tptp.cos_real Y)) (@ (@ tptp.ord_less_real Y) X))))))))
% 13.98/14.28 (assume a7123 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.pi)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ tptp.cos_real Y)) (@ tptp.cos_real X)))))))
% 13.98/14.28 (assume a7124 (forall ((A tptp.int) (B tptp.int)) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real A)) (@ tptp.ring_1_of_int_real B))) (@ tptp.uminus_uminus_int (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int A)) B)))))
% 13.98/14.28 (assume a7125 (forall ((X tptp.real)) (=> (= (@ tptp.sin_real X) tptp.zero_zero_real) (= (@ tptp.abs_abs_real (@ tptp.cos_real X)) tptp.one_one_real))))
% 13.98/14.28 (assume a7126 (forall ((F (-> tptp.nat tptp.complex)) (Z tptp.complex)) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))) (= (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))) (@ (@ tptp.plus_plus_complex (@ F tptp.zero_zero_nat)) (@ (@ tptp.times_times_complex (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_complex Z) N))))) Z))))))
% 13.98/14.28 (assume a7127 (forall ((F (-> tptp.nat tptp.real)) (Z tptp.real)) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))) (= (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))) (@ (@ tptp.plus_plus_real (@ F tptp.zero_zero_nat)) (@ (@ tptp.times_times_real (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_real Z) N))))) Z))))))
% 13.98/14.28 (assume a7128 (forall ((F (-> tptp.nat tptp.complex)) (Z tptp.complex)) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N)))) (= (@ (@ tptp.times_times_complex (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_complex Z) N))))) Z) (@ (@ tptp.minus_minus_complex (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) (@ (@ tptp.power_power_complex Z) N))))) (@ F tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a7129 (forall ((F (-> tptp.nat tptp.real)) (Z tptp.real)) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N)))) (= (@ (@ tptp.times_times_real (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F (@ tptp.suc N))) (@ (@ tptp.power_power_real Z) N))))) Z) (@ (@ tptp.minus_minus_real (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real Z) N))))) (@ F tptp.zero_zero_nat))))))
% 13.98/14.28 (assume a7130 (forall ((R tptp.real) (F (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) R) (=> (@ tptp.summable_real F) (exists ((N8 tptp.nat)) (forall ((N9 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N8) N9) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N9)))))) R))))))))
% 13.98/14.28 (assume a7131 (forall ((R tptp.real) (F (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) R) (=> (@ tptp.summable_complex F) (exists ((N8 tptp.nat)) (forall ((N9 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N8) N9) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ tptp.suminf_complex (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N9)))))) R))))))))
% 13.98/14.28 (assume a7132 (forall ((F (-> tptp.nat tptp.real)) (Z tptp.real)) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F I4)) tptp.one_one_real)) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Z) (=> (@ (@ tptp.ord_less_real Z) tptp.one_one_real) (@ tptp.summable_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ F I5)) (@ (@ tptp.power_power_real Z) I5))))))))))
% 13.98/14.28 (assume a7133 (forall ((R tptp.real) (R0 tptp.real) (A (-> tptp.nat tptp.complex)) (M7 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) R) (=> (@ (@ tptp.ord_less_real R) R0) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.real_V1022390504157884413omplex (@ A N4))) (@ (@ tptp.power_power_real R0) N4))) M7)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.real_V1022390504157884413omplex (@ A N))) (@ (@ tptp.power_power_real R) N)))))))))
% 13.98/14.28 (assume a7134 (forall ((X tptp.complex)) (= (@ tptp.sin_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.sin_complex X))) (@ tptp.cos_complex X)))))
% 13.98/14.28 (assume a7135 (forall ((X tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.sin_real X))) (@ tptp.cos_real X)))))
% 13.98/14.28 (assume a7136 (forall ((X tptp.real)) (and (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real X))) tptp.one_one_real)) X) (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real X))))))
% 13.98/14.28 (assume a7137 (forall ((Z tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real Z)) (= (@ tptp.archim7802044766580827645g_real X) Z)))))
% 13.98/14.28 (assume a7138 (forall ((X tptp.real) (A tptp.int)) (= (= (@ tptp.archim7802044766580827645g_real X) A) (and (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real A)) tptp.one_one_real)) X) (@ (@ tptp.ord_less_eq_real X) (@ tptp.ring_1_of_int_real A))))))
% 13.98/14.28 (assume a7139 (forall ((P (-> tptp.int Bool)) (T tptp.real)) (= (@ P (@ tptp.archim7802044766580827645g_real T)) (forall ((I5 tptp.int)) (=> (and (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real I5)) tptp.one_one_real)) T) (@ (@ tptp.ord_less_eq_real T) (@ tptp.ring_1_of_int_real I5))) (@ P I5))))))
% 13.98/14.28 (assume a7140 (forall ((C tptp.real) (N3 tptp.nat) (F (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_real C) tptp.one_one_real) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N3) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ F (@ tptp.suc N4)))) (@ (@ tptp.times_times_real C) (@ tptp.real_V7735802525324610683m_real (@ F N4)))))) (@ tptp.summable_real F)))))
% 13.98/14.28 (assume a7141 (forall ((C tptp.real) (N3 tptp.nat) (F (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_real C) tptp.one_one_real) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N3) N4) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F (@ tptp.suc N4)))) (@ (@ tptp.times_times_real C) (@ tptp.real_V1022390504157884413omplex (@ F N4)))))) (@ tptp.summable_complex F)))))
% 13.98/14.28 (assume a7142 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_int (@ tptp.archim7802044766580827645g_real (@ (@ tptp.times_times_real A) B))) (@ (@ tptp.times_times_int (@ tptp.archim7802044766580827645g_real A)) (@ tptp.archim7802044766580827645g_real B)))))))
% 13.98/14.28 (assume a7143 (forall ((X tptp.real) (Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.archim7802044766580827645g_real X)) Z) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real)))))
% 13.98/14.28 (assume a7144 (forall ((Z tptp.int) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_int Z) (@ tptp.archim7802044766580827645g_real X)) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X))))
% 13.98/14.28 (assume a7145 (@ (@ tptp.ord_less_real (@ tptp.cos_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 13.98/14.28 (assume a7146 (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X5) (@ (@ tptp.ord_less_eq_real X5) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (= (@ tptp.cos_real X5) tptp.zero_zero_real) (forall ((Y2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y2) (@ (@ tptp.ord_less_eq_real Y2) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (= (@ tptp.cos_real Y2) tptp.zero_zero_real)) (= Y2 X5))))))
% 13.98/14.28 (assume a7147 (@ (@ tptp.ord_less_eq_real (@ tptp.cos_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 13.98/14.28 (assume a7148 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.pi)) Y) (=> (@ (@ tptp.ord_less_real Y) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.cos_real Y)) (@ tptp.cos_real X)))))))
% 13.98/14.28 (assume a7149 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X5) (@ (@ tptp.ord_less_eq_real X5) tptp.pi) (= (@ tptp.cos_real X5) Y) (forall ((Y2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y2) (@ (@ tptp.ord_less_eq_real Y2) tptp.pi) (= (@ tptp.cos_real Y2) Y)) (= Y2 X5)))))))))
% 13.98/14.28 (assume a7150 (forall ((X tptp.real)) (exists ((Y5 tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.pi)) Y5) (@ (@ tptp.ord_less_eq_real Y5) tptp.pi) (= (@ tptp.sin_real Y5) (@ tptp.sin_real X)) (= (@ tptp.cos_real Y5) (@ tptp.cos_real X))))))
% 13.98/14.28 (assume a7151 (forall ((Q2 tptp.real) (P5 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Q2) (@ (@ tptp.ord_less_eq_real P5) (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real (@ (@ tptp.divide_divide_real P5) Q2)))) Q2)))))
% 13.98/14.28 (assume a7152 (= (@ tptp.cos_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))) (@ (@ tptp.divide_divide_real (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a7153 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.sin_real Y))) (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real Y))))) tptp.one_one_real)))
% 13.98/14.28 (assume a7154 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.cos_real W)) (@ tptp.cos_real Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.cos_real (@ (@ tptp.minus_minus_real W) Z))) (@ tptp.cos_real (@ (@ tptp.plus_plus_real W) Z)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7155 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.cos_complex W)) (@ tptp.cos_complex Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.cos_complex (@ (@ tptp.minus_minus_complex W) Z))) (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex W) Z)))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7156 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.cos_real W)) (@ tptp.cos_real Z)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.cos_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))) (@ tptp.cos_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7157 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.cos_complex W)) (@ tptp.cos_complex Z)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.cos_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))) (@ tptp.cos_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7158 (forall ((X tptp.complex)) (= (@ (@ tptp.power_power_complex (@ tptp.sin_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex (@ tptp.cos_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a7159 (forall ((X tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.sin_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a7160 (forall ((X tptp.complex)) (= (@ (@ tptp.power_power_complex (@ tptp.cos_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex (@ tptp.sin_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a7161 (forall ((X tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.sin_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a7162 (forall ((Q2 tptp.real) (P5 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Q2) (@ (@ tptp.ord_less_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real (@ tptp.ring_1_of_int_real (@ tptp.archim7802044766580827645g_real (@ (@ tptp.divide_divide_real P5) Q2)))) tptp.one_one_real)) Q2)) P5))))
% 13.98/14.28 (assume a7163 (forall ((N2 tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real N2)) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real N2)) tptp.one_one_real)) (= (@ tptp.archim7802044766580827645g_real X) (@ (@ tptp.plus_plus_int N2) tptp.one_one_int))))))
% 13.98/14.28 (assume a7164 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.ord_less_real (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X))) tptp.one_one_real)))))
% 13.98/14.28 (assume a7165 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.cos_real X))))))
% 13.98/14.28 (assume a7166 (= (@ tptp.cos_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a7167 (= (@ tptp.cos_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 tptp.one))))) (@ (@ tptp.divide_divide_real (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a7168 (forall ((X tptp.real)) (= (= (@ tptp.cos_real X) tptp.one_one_real) (exists ((X2 tptp.int)) (= X (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real X2)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.pi))))))
% 13.98/14.28 (assume a7169 (forall ((W tptp.complex)) (= (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) W)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_complex (@ tptp.cos_complex W)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.one_one_complex))))
% 13.98/14.28 (assume a7170 (forall ((W tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) W)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real (@ tptp.cos_real W)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) tptp.one_one_real))))
% 13.98/14.28 (assume a7171 (forall ((X tptp.complex)) (= (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 tptp.one))) X)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.cos_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))))) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit1 tptp.one))) (@ tptp.cos_complex X))))))
% 13.98/14.28 (assume a7172 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))) X)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 tptp.one))))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))) (@ tptp.cos_real X))))))
% 13.98/14.28 (assume a7173 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.sin_real W)) (@ tptp.sin_real Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.cos_real (@ (@ tptp.minus_minus_real W) Z))) (@ tptp.cos_real (@ (@ tptp.plus_plus_real W) Z)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7174 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.sin_complex W)) (@ tptp.sin_complex Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.cos_complex (@ (@ tptp.minus_minus_complex W) Z))) (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex W) Z)))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7175 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.sin_real W)) (@ tptp.cos_real Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real W) Z))) (@ tptp.sin_real (@ (@ tptp.minus_minus_real W) Z)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7176 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.sin_complex W)) (@ tptp.cos_complex Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.sin_complex (@ (@ tptp.plus_plus_complex W) Z))) (@ tptp.sin_complex (@ (@ tptp.minus_minus_complex W) Z)))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7177 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.cos_real W)) (@ tptp.sin_real Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real W) Z))) (@ tptp.sin_real (@ (@ tptp.minus_minus_real W) Z)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7178 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.cos_complex W)) (@ tptp.sin_complex Z)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.sin_complex (@ (@ tptp.plus_plus_complex W) Z))) (@ tptp.sin_complex (@ (@ tptp.minus_minus_complex W) Z)))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7179 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.sin_real W)) (@ tptp.sin_real Z)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.sin_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))) (@ tptp.cos_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7180 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.sin_complex W)) (@ tptp.sin_complex Z)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.sin_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))) (@ tptp.cos_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7181 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.minus_minus_real (@ tptp.sin_real W)) (@ tptp.sin_real Z)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.sin_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))) (@ tptp.cos_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7182 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.sin_complex W)) (@ tptp.sin_complex Z)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.sin_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))) (@ tptp.cos_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7183 (forall ((W tptp.real) (Z tptp.real)) (= (@ (@ tptp.minus_minus_real (@ tptp.cos_real W)) (@ tptp.cos_real Z)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.sin_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real W) Z)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))) (@ tptp.sin_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real Z) W)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7184 (forall ((W tptp.complex) (Z tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.cos_complex W)) (@ tptp.cos_complex Z)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.sin_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex W) Z)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))) (@ tptp.sin_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex Z) W)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7185 (forall ((X tptp.complex)) (= (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex (@ tptp.cos_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.sin_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a7186 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.sin_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 13.98/14.28 (assume a7187 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.cos_real X))))))
% 13.98/14.28 (assume a7188 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.cos_real X))))))
% 13.98/14.28 (assume a7189 (forall ((X tptp.real)) (= (= (@ tptp.cos_real X) tptp.one_one_real) (or (exists ((X2 tptp.nat)) (= X (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real X2)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.pi))) (exists ((X2 tptp.nat)) (= X (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real X2)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.pi))))))))
% 13.98/14.28 (assume a7190 (forall ((W tptp.complex)) (= (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) W)) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_complex (@ tptp.sin_complex W)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7191 (forall ((W tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) W)) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.power_power_real (@ tptp.sin_real W)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7192 (forall ((X tptp.real)) (= (@ tptp.cos_real (@ tptp.arctan X)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.sqrt (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a7193 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) tptp.pi) (= X (@ tptp.cos_real T4)) (= Y (@ tptp.sin_real T4))))))))
% 13.98/14.28 (assume a7194 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sin_real X)) (= (@ tptp.sin_real X) (@ tptp.sqrt (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.cos_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a7195 (forall ((X tptp.real) (M tptp.nat)) (= (@ tptp.sin_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc M))) tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M)) tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7196 (forall ((X tptp.real)) (= (= (@ tptp.cos_real X) tptp.zero_zero_real) (exists ((I5 tptp.int)) (and (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) I5)) (= X (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real I5)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7197 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (= (@ tptp.cos_real X) tptp.zero_zero_real) (exists ((N4 tptp.nat)) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N4)) (= X (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N4)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))))
% 13.98/14.28 (assume a7198 (forall ((X tptp.real)) (= (= (@ tptp.cos_real X) tptp.zero_zero_real) (or (exists ((N tptp.nat)) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (= X (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))) (exists ((N tptp.nat)) (and (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (= X (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))))))
% 13.98/14.28 (assume a7199 (forall ((X tptp.real) (M tptp.nat)) (= (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc M))) tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.uminus_uminus_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M)) tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a7200 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= X (@ tptp.cos_real T4)) (= Y (@ tptp.sin_real T4)))))))))
% 13.98/14.28 (assume a7201 (forall ((X tptp.real) (Y tptp.real)) (=> (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (= X (@ tptp.cos_real T4)) (= Y (@ tptp.sin_real T4)))))))
% 13.98/14.28 (assume a7202 (forall ((B tptp.nat) (N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat B) N2)) K) (=> (@ (@ tptp.ord_less_eq_nat K) (@ (@ tptp.power_power_nat B) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat))) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.log (@ tptp.semiri5074537144036343181t_real B)) (@ tptp.semiri5074537144036343181t_real K))) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int)))))))
% 13.98/14.28 (assume a7203 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real N2))) (@ (@ tptp.plus_plus_int (@ tptp.archim7802044766580827645g_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat))))) tptp.one_one_int)))))
% 13.98/14.28 (assume a7204 (forall ((X tptp.real)) (=> (not (= (@ tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) tptp.zero_zero_real)) (= (@ tptp.tan_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.tan_real X))) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.tan_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7205 (forall ((X tptp.complex)) (=> (not (= (@ tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) tptp.zero_zero_complex)) (= (@ tptp.tan_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.tan_complex X))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex (@ tptp.tan_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7206 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.sin_real X) (@ (@ tptp.divide_divide_real (@ tptp.tan_real X)) (@ tptp.sqrt (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.tan_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7207 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.cos_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.sqrt (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.tan_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7208 (forall ((Z tptp.complex)) (=> (= (@ tptp.real_V1022390504157884413omplex Z) tptp.one_one_real) (not (forall ((T4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (=> (@ (@ tptp.ord_less_real T4) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (not (= Z (@ (@ tptp.complex2 (@ tptp.cos_real T4)) (@ tptp.sin_real T4)))))))))))
% 13.98/14.28 (assume a7209 (forall ((X tptp.real) (B tptp.real) (K tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (= (= (@ tptp.archim7802044766580827645g_real (@ (@ tptp.log B) X)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int K)) tptp.one_one_int)) (and (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real B) (@ tptp.semiri5074537144036343181t_real K))) X) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.powr_real B) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat K) tptp.one_one_nat))))))))))
% 13.98/14.28 (assume a7210 (forall ((A tptp.real)) (= (@ (@ tptp.powr_real tptp.one_one_real) A) tptp.one_one_real)))
% 13.98/14.28 (assume a7211 (forall ((X tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (@ (@ tptp.powr_real X) tptp.zero_zero_real) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (= (@ (@ tptp.powr_real X) tptp.zero_zero_real) tptp.one_one_real)))))
% 13.98/14.28 (assume a7212 (forall ((X tptp.real) (A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.powr_real X) A)) (not (= X tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7213 (forall ((A tptp.real) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real A) X)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 13.98/14.28 (assume a7214 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (= (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real X) B)) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.28 (assume a7215 (forall ((X tptp.real)) (= (@ tptp.tan_real (@ (@ tptp.plus_plus_real X) tptp.pi)) (@ tptp.tan_real X))))
% 13.98/14.28 (assume a7216 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) A) (= (= (@ (@ tptp.powr_real A) X) tptp.one_one_real) (= X tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7217 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real X) tptp.one_one_real) X))))
% 13.98/14.28 (assume a7218 (forall ((X tptp.real)) (= (= (@ (@ tptp.powr_real X) tptp.one_one_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 13.98/14.28 (assume a7219 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real X) B)) (@ (@ tptp.ord_less_eq_real A) B)))))
% 13.98/14.28 (assume a7220 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.powr_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real M)) (@ tptp.numeral_numeral_nat N2)))))
% 13.98/14.28 (assume a7221 (forall ((A tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (= (@ (@ tptp.log A) (@ (@ tptp.powr_real A) Y)) Y)))))
% 13.98/14.28 (assume a7222 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real A) (@ (@ tptp.log A) X)) X))))))
% 13.98/14.28 (assume a7223 (forall ((N2 tptp.nat)) (= (@ tptp.tan_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.pi)) tptp.zero_zero_real)))
% 13.98/14.28 (assume a7224 (forall ((X tptp.real) (N2 tptp.num)) (= (@ tptp.tan_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real N2)) tptp.pi))) (@ tptp.tan_real X))))
% 13.98/14.28 (assume a7225 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ tptp.tan_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.pi))) (@ tptp.tan_real X))))
% 13.98/14.28 (assume a7226 (forall ((X tptp.real) (I2 tptp.int)) (= (@ tptp.tan_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real I2)) tptp.pi))) (@ tptp.tan_real X))))
% 13.98/14.28 (assume a7227 (forall ((T tptp.real)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.complex2 (@ tptp.cos_real T)) (@ tptp.sin_real T))) tptp.one_one_real)))
% 13.98/14.28 (assume a7228 (forall ((X tptp.real) (N2 tptp.num)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real X) (@ tptp.numeral_numeral_real N2)) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat N2))))))
% 13.98/14.28 (assume a7229 (forall ((X tptp.real)) (= (@ tptp.tan_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))) (@ tptp.tan_real X))))
% 13.98/14.28 (assume a7230 (forall ((X tptp.real)) (= (@ (@ tptp.powr_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.abs_abs_real X))))
% 13.98/14.28 (assume a7231 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.powr_real (@ (@ tptp.powr_real X) A)) B) (@ (@ tptp.powr_real X) (@ (@ tptp.times_times_real A) B)))))
% 13.98/14.28 (assume a7232 (forall ((A tptp.real) (X tptp.real)) (not (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real A) X)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a7233 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real Y) A)) (@ (@ tptp.powr_real X) A)))))))
% 13.98/14.28 (assume a7234 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.powr_real X) Y))))
% 13.98/14.28 (assume a7235 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real Y) A)))))))
% 13.98/14.28 (assume a7236 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real X) B))))))
% 13.98/14.28 (assume a7237 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real X) B)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ tptp.ord_less_real A) B)))))
% 13.98/14.28 (assume a7238 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real X) B))))))
% 13.98/14.28 (assume a7239 (= tptp.one_one_complex (@ (@ tptp.complex2 tptp.one_one_real) tptp.zero_zero_real)))
% 13.98/14.28 (assume a7240 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.complex2 A) B) tptp.one_one_complex) (and (= A tptp.one_one_real) (= B tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7241 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= (@ (@ tptp.complex2 A) B) (@ tptp.numera6690914467698888265omplex W)) (and (= A (@ tptp.numeral_numeral_real W)) (= B tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7242 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.complex2 A) B)) (@ (@ tptp.complex2 C) D)) (@ (@ tptp.complex2 (@ (@ tptp.plus_plus_real A) C)) (@ (@ tptp.plus_plus_real B) D)))))
% 13.98/14.28 (assume a7243 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real Y) A)) (@ (@ tptp.powr_real X) A)))))))
% 13.98/14.28 (assume a7244 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real Y) A)))))))
% 13.98/14.28 (assume a7245 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (= (= (@ (@ tptp.powr_real A) X) (@ (@ tptp.powr_real A) Y)) (= X Y))))))
% 13.98/14.28 (assume a7246 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.powr_real X) Y))))))
% 13.98/14.28 (assume a7247 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real X) A)) tptp.one_one_real))))))
% 13.98/14.28 (assume a7248 (forall ((A tptp.real) (B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real Y) B))))))))
% 13.98/14.28 (assume a7249 (forall ((X tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.powr_real X) A))))))
% 13.98/14.28 (assume a7250 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ (@ tptp.powr_real (@ (@ tptp.divide_divide_real X) Y)) A) (@ (@ tptp.divide_divide_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real Y) A)))))))
% 13.98/14.28 (assume a7251 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ (@ tptp.powr_real (@ (@ tptp.times_times_real X) Y)) A) (@ (@ tptp.times_times_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real Y) A)))))))
% 13.98/14.28 (assume a7252 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (@ (@ tptp.divide_divide_real A) (@ (@ tptp.powr_real B) C)) (@ (@ tptp.times_times_real A) (@ (@ tptp.powr_real B) (@ tptp.uminus_uminus_real C))))))
% 13.98/14.28 (assume a7253 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.log (@ (@ tptp.powr_real A) B)) X) (@ (@ tptp.divide_divide_real (@ (@ tptp.log A) X)) B)))))
% 13.98/14.28 (assume a7254 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (@ tptp.ln_ln_real (@ (@ tptp.powr_real X) Y)) (@ (@ tptp.times_times_real Y) (@ tptp.ln_ln_real X))))))
% 13.98/14.28 (assume a7255 (forall ((X tptp.real) (B tptp.real) (Y tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (@ (@ tptp.log B) (@ (@ tptp.powr_real X) Y)) (@ (@ tptp.times_times_real Y) (@ (@ tptp.log B) X))))))
% 13.98/14.28 (assume a7256 (forall ((A tptp.real) (B tptp.real)) (= (= (@ (@ tptp.complex2 A) B) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (and (= A (@ tptp.uminus_uminus_real tptp.one_one_real)) (= B tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7257 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= (@ (@ tptp.complex2 A) B) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) (and (= A (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (= B tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7258 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.powr_real X) (@ (@ tptp.plus_plus_real A) B)) (@ (@ tptp.times_times_real (@ (@ tptp.powr_real X) A)) (@ (@ tptp.powr_real X) B)))))
% 13.98/14.28 (assume a7259 (forall ((W tptp.real) (Z1 tptp.real) (Z22 tptp.real)) (= (@ (@ tptp.powr_real W) (@ (@ tptp.minus_minus_real Z1) Z22)) (@ (@ tptp.divide_divide_real (@ (@ tptp.powr_real W) Z1)) (@ (@ tptp.powr_real W) Z22)))))
% 13.98/14.28 (assume a7260 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.complex2 A) B)) (@ (@ tptp.complex2 C) D)) (@ (@ tptp.complex2 (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real A) C)) (@ (@ tptp.times_times_real B) D))) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real A) D)) (@ (@ tptp.times_times_real B) C))))))
% 13.98/14.28 (assume a7261 (= tptp.tan_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.sin_real X2)) (@ tptp.cos_real X2)))))
% 13.98/14.28 (assume a7262 (= tptp.tan_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.sin_complex X2)) (@ tptp.cos_complex X2)))))
% 13.98/14.28 (assume a7263 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real X) (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real X) N2)))))
% 13.98/14.28 (assume a7264 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real B) Y)) X) (@ (@ tptp.ord_less_real Y) (@ (@ tptp.log B) X)))))))
% 13.98/14.28 (assume a7265 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real X) (@ (@ tptp.powr_real B) Y)) (@ (@ tptp.ord_less_real (@ (@ tptp.log B) X)) Y))))))
% 13.98/14.28 (assume a7266 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real (@ (@ tptp.log B) X)) Y) (@ (@ tptp.ord_less_real X) (@ (@ tptp.powr_real B) Y)))))))
% 13.98/14.28 (assume a7267 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_real Y) (@ (@ tptp.log B) X)) (@ (@ tptp.ord_less_real (@ (@ tptp.powr_real B) Y)) X))))))
% 13.98/14.28 (assume a7268 (forall ((X tptp.real) (A tptp.real)) (= (@ (@ tptp.powr_real X) (@ tptp.uminus_uminus_real A)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.powr_real X) A)))))
% 13.98/14.28 (assume a7269 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real X) (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ (@ tptp.divide_divide_real tptp.one_one_real) X)))))
% 13.98/14.28 (assume a7270 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.times_times_real X) (@ (@ tptp.powr_real X) Y)) (@ (@ tptp.powr_real X) (@ (@ tptp.plus_plus_real tptp.one_one_real) Y))))))
% 13.98/14.28 (assume a7271 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.log B) X)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real B) Y)) X))))))
% 13.98/14.28 (assume a7272 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log B) X)) Y) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.powr_real B) Y)))))))
% 13.98/14.28 (assume a7273 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.powr_real B) Y)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.log B) X)) Y))))))
% 13.98/14.28 (assume a7274 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real B) Y)) X) (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.log B) X)))))))
% 13.98/14.28 (assume a7275 (forall ((X tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real (@ tptp.ln_ln_real X)) (@ (@ tptp.divide_divide_real (@ (@ tptp.powr_real X) A)) A))))))
% 13.98/14.28 (assume a7276 (forall ((X tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real (@ tptp.ln_ln_real X)) A)) (@ (@ tptp.times_times_real (@ (@ tptp.powr_real A) A)) X))))))
% 13.98/14.28 (assume a7277 (= (@ tptp.tan_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))) tptp.one_one_real))
% 13.98/14.28 (assume a7278 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (not (= B tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.log B) X)) Y) (@ (@ tptp.log B) (@ (@ tptp.times_times_real X) (@ (@ tptp.powr_real B) Y)))))))))
% 13.98/14.28 (assume a7279 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (not (= B tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.plus_plus_real Y) (@ (@ tptp.log B) X)) (@ (@ tptp.log B) (@ (@ tptp.times_times_real (@ (@ tptp.powr_real B) Y)) X))))))))
% 13.98/14.28 (assume a7280 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (not (= B tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.minus_minus_real Y) (@ (@ tptp.log B) X)) (@ (@ tptp.log B) (@ (@ tptp.divide_divide_real (@ (@ tptp.powr_real B) Y)) X))))))))
% 13.98/14.28 (assume a7281 (= (@ tptp.tan_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))) (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one)))))
% 13.98/14.28 (assume a7282 (= tptp.powr_real (lambda ((X2 tptp.real) (A4 tptp.real)) (@ (@ (@ tptp.if_real (= X2 tptp.zero_zero_real)) tptp.zero_zero_real) (@ tptp.exp_real (@ (@ tptp.times_times_real A4) (@ tptp.ln_ln_real X2)))))))
% 13.98/14.28 (assume a7283 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) X5) (@ (@ tptp.ord_less_real X5) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real Y) (@ tptp.tan_real X5)))))))
% 13.98/14.28 (assume a7284 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.tan_real X))))))
% 13.98/14.28 (assume a7285 (forall ((Y tptp.real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X5) (@ (@ tptp.ord_less_real X5) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.tan_real X5) Y) (forall ((Y2 tptp.real)) (=> (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y2) (@ (@ tptp.ord_less_real Y2) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.tan_real Y2) Y)) (= Y2 X5)))))))
% 13.98/14.28 (assume a7286 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_real Y) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real (@ tptp.tan_real Y)) (@ tptp.tan_real X)))))))
% 13.98/14.28 (assume a7287 (forall ((Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_real Y) X) (@ (@ tptp.ord_less_real (@ tptp.tan_real Y)) (@ tptp.tan_real X)))))))))
% 13.98/14.28 (assume a7288 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_real (@ tptp.tan_real X)) (@ tptp.tan_real Y)) (@ (@ tptp.ord_less_real X) Y))))))))
% 13.98/14.28 (assume a7289 (forall ((Y tptp.real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X5) (@ (@ tptp.ord_less_real X5) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.tan_real X5) Y)))))
% 13.98/14.28 (assume a7290 (= (@ tptp.tan_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.28 (assume a7291 (forall ((Y tptp.real)) (= (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.tan_real Y)) (@ tptp.tan_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) Y)))))
% 13.98/14.28 (assume a7292 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (=> (not (= B tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.log B) X)) Y) (@ (@ tptp.log B) (@ (@ tptp.times_times_real X) (@ (@ tptp.powr_real B) (@ tptp.uminus_uminus_real Y))))))))))
% 13.98/14.28 (assume a7293 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.complex2 X) Y)) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.28 (assume a7294 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (@ tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real Y) tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ tptp.tan_real X)) (@ tptp.tan_real Y)) (@ (@ tptp.divide_divide_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real X) Y))) (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real Y))))))))
% 13.98/14.28 (assume a7295 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (@ tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex Y) tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.tan_complex X)) (@ tptp.tan_complex Y)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.sin_complex (@ (@ tptp.plus_plus_complex X) Y))) (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.cos_complex Y))))))))
% 13.98/14.28 (assume a7296 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.sqrt X)))))
% 13.98/14.28 (assume a7297 (forall ((X tptp.real) (N2 tptp.num)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.powr_real X) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real N2))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat N2)))))))
% 13.98/14.28 (assume a7298 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X5) (@ (@ tptp.ord_less_real X5) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.tan_real X5) Y))))))
% 13.98/14.28 (assume a7299 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.tan_real X))))))
% 13.98/14.28 (assume a7300 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.tan_real X)) tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7301 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) Y) (=> (@ (@ tptp.ord_less_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_eq_real (@ tptp.tan_real X)) (@ tptp.tan_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))))))
% 13.98/14.28 (assume a7302 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_eq_real (@ tptp.tan_real X)) (@ tptp.tan_real Y)))))))
% 13.98/14.28 (assume a7303 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ tptp.tan_real X))) tptp.one_one_real))))
% 13.98/14.28 (assume a7304 (= (@ tptp.tan_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit1 tptp.one))))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit1 tptp.one))))))
% 13.98/14.28 (assume a7305 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (=> (= (@ tptp.tan_real X) Y) (= (@ tptp.arctan Y) X))))))
% 13.98/14.28 (assume a7306 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.arctan (@ tptp.tan_real X)) X)))))
% 13.98/14.28 (assume a7307 (forall ((Y tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arctan Y)) (@ (@ tptp.ord_less_real (@ tptp.arctan Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.tan_real (@ tptp.arctan Y)) Y))))
% 13.98/14.28 (assume a7308 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (@ tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (= (@ tptp.tan_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.tan_real X)) (@ tptp.tan_real Y))) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.tan_real X)) (@ tptp.tan_real Y))))))))))
% 13.98/14.28 (assume a7309 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (@ tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex X) Y)) tptp.zero_zero_complex)) (= (@ tptp.tan_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.tan_complex X)) (@ tptp.tan_complex Y))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ tptp.tan_complex X)) (@ tptp.tan_complex Y))))))))))
% 13.98/14.28 (assume a7310 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (@ tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real (@ (@ tptp.minus_minus_real X) Y)) tptp.zero_zero_real)) (= (@ tptp.tan_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.tan_real X)) (@ tptp.tan_real Y))) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.tan_real X)) (@ tptp.tan_real Y))))))))))
% 13.98/14.28 (assume a7311 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (@ tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex (@ (@ tptp.minus_minus_complex X) Y)) tptp.zero_zero_complex)) (= (@ tptp.tan_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.tan_complex X)) (@ tptp.tan_complex Y))) (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ tptp.tan_complex X)) (@ tptp.tan_complex Y))))))))))
% 13.98/14.28 (assume a7312 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (@ tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (@ tptp.cos_real Y) tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.tan_real X)) (@ tptp.tan_real Y))) (@ (@ tptp.divide_divide_real (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) Y))) (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real Y))))))))
% 13.98/14.28 (assume a7313 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (@ tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cos_complex Y) tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ tptp.tan_complex X)) (@ tptp.tan_complex Y))) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex X) Y))) (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.cos_complex Y))))))))
% 13.98/14.28 (assume a7314 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (exists ((Z4 tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))) Z4) (@ (@ tptp.ord_less_real Z4) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one))))) (= (@ tptp.tan_real Z4) X))))))
% 13.98/14.28 (assume a7315 (= tptp.tan_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X2))) (@ (@ tptp.plus_plus_real (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X2))) tptp.one_one_real)))))
% 13.98/14.28 (assume a7316 (= tptp.tan_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.sin_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X2))) (@ (@ tptp.plus_plus_complex (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X2))) tptp.one_one_complex)))))
% 13.98/14.28 (assume a7317 (= tptp.arcosh_real (lambda ((X2 tptp.real)) (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real X2) (@ (@ tptp.powr_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)) (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7318 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (= (@ tptp.cos_real (@ tptp.arcsin X)) (@ tptp.sqrt (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7319 (forall ((N2 tptp.nat) (M tptp.nat) (X tptp.complex)) (and (=> (@ (@ tptp.ord_less_nat N2) M) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) tptp.zero_zero_complex)) (=> (not (@ (@ tptp.ord_less_nat N2) M)) (and (=> (= X tptp.one_one_complex) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) M)))) (=> (not (= X tptp.one_one_complex)) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex X) M)) (@ (@ tptp.power_power_complex X) (@ tptp.suc N2)))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)))))))))
% 13.98/14.28 (assume a7320 (forall ((N2 tptp.nat) (M tptp.nat) (X tptp.real)) (and (=> (@ (@ tptp.ord_less_nat N2) M) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) tptp.zero_zero_real)) (=> (not (@ (@ tptp.ord_less_nat N2) M)) (and (=> (= X tptp.one_one_real) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) M)))) (=> (not (= X tptp.one_one_real)) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) M)) (@ (@ tptp.power_power_real X) (@ tptp.suc N2)))) (@ (@ tptp.minus_minus_real tptp.one_one_real) X)))))))))
% 13.98/14.28 (assume a7321 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ tptp.sin_real (@ tptp.arccos Y)) (@ tptp.sqrt (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real Y) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.28 (assume a7322 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (= (@ tptp.sin_real (@ tptp.arccos X)) (@ tptp.sqrt (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.28 (assume a7323 (= (@ tptp.real_V1803761363581548252l_real tptp.one_one_real) tptp.one_one_real))
% 13.98/14.28 (assume a7324 (= (@ tptp.real_V4546457046886955230omplex tptp.one_one_real) tptp.one_one_complex))
% 13.98/14.28 (assume a7325 (forall ((X tptp.real)) (= (= (@ tptp.real_V1803761363581548252l_real X) tptp.one_one_real) (= X tptp.one_one_real))))
% 13.98/14.28 (assume a7326 (forall ((X tptp.real)) (= (= (@ tptp.real_V4546457046886955230omplex X) tptp.one_one_complex) (= X tptp.one_one_real))))
% 13.98/14.28 (assume a7327 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.times_times_real (@ tptp.real_V1803761363581548252l_real X)) (@ tptp.real_V1803761363581548252l_real Y)))))
% 13.98/14.28 (assume a7328 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.times_times_complex (@ tptp.real_V4546457046886955230omplex X)) (@ tptp.real_V4546457046886955230omplex Y)))))
% 13.98/14.28 (assume a7329 (forall ((W tptp.num)) (= (@ tptp.real_V1803761363581548252l_real (@ tptp.numeral_numeral_real W)) (@ tptp.numeral_numeral_real W))))
% 13.98/14.28 (assume a7330 (forall ((W tptp.num)) (= (@ tptp.real_V4546457046886955230omplex (@ tptp.numeral_numeral_real W)) (@ tptp.numera6690914467698888265omplex W))))
% 13.98/14.28 (assume a7331 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real X)) (@ tptp.real_V1803761363581548252l_real Y)))))
% 13.98/14.28 (assume a7332 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex X)) (@ tptp.real_V4546457046886955230omplex Y)))))
% 13.98/14.28 (assume a7333 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real (@ tptp.real_V1803761363581548252l_real X)) N2))))
% 13.98/14.28 (assume a7334 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_complex (@ tptp.real_V4546457046886955230omplex X)) N2))))
% 13.98/14.28 (assume a7335 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real (@ tptp.real_V1803761363581548252l_real X)) (@ tptp.real_V1803761363581548252l_real Y)))))
% 13.98/14.28 (assume a7336 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_complex (@ tptp.real_V4546457046886955230omplex X)) (@ tptp.real_V4546457046886955230omplex Y)))))
% 13.98/14.28 (assume a7337 (= (@ tptp.arccos tptp.one_one_real) tptp.zero_zero_real))
% 13.98/14.28 (assume a7338 (forall ((F (-> tptp.nat tptp.real)) (A2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.groups6591440286371151544t_real F) A2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ tptp.abs_abs_real (@ F I5)))) A2))))
% 13.98/14.28 (assume a7339 (forall ((F (-> tptp.int tptp.int)) (A2 tptp.set_int)) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.groups4538972089207619220nt_int F) A2))) (@ (@ tptp.groups4538972089207619220nt_int (lambda ((I5 tptp.int)) (@ tptp.abs_abs_int (@ F I5)))) A2))))
% 13.98/14.28 (assume a7340 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups5754745047067104278omplex G) A2)))))))
% 13.98/14.28 (assume a7341 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int A2) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups3049146728041665814omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups3049146728041665814omplex G) A2)))))))
% 13.98/14.28 (assume a7342 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat A2) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups2073611262835488442omplex G) A2)))))))
% 13.98/14.28 (assume a7343 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8097168146408367636l_real G) A2)))))))
% 13.98/14.28 (assume a7344 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups8778361861064173332t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8778361861064173332t_real G) A2)))))))
% 13.98/14.28 (assume a7345 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups5808333547571424918x_real G) A2)))))))
% 13.98/14.28 (assume a7346 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups1935376822645274424al_nat G) A2)))))))
% 13.98/14.28 (assume a7347 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups4541462559716669496nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups4541462559716669496nt_nat G) A2)))))))
% 13.98/14.28 (assume a7348 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups5693394587270226106ex_nat G) A2)))))))
% 13.98/14.28 (assume a7349 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_int (@ G X)) (@ (@ tptp.groups1932886352136224148al_int G) A2)))))))
% 13.98/14.28 (assume a7350 (= (@ tptp.arccos (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.pi))
% 13.98/14.28 (assume a7351 (forall ((F (-> tptp.nat tptp.real)) (A2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ tptp.abs_abs_real (@ F I5)))) A2))))
% 13.98/14.28 (assume a7352 (forall ((F (-> tptp.int tptp.int)) (A2 tptp.set_int)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.groups4538972089207619220nt_int (lambda ((I5 tptp.int)) (@ tptp.abs_abs_int (@ F I5)))) A2))))
% 13.98/14.28 (assume a7353 (forall ((W tptp.num)) (= (@ tptp.real_V1803761363581548252l_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W)))))
% 13.98/14.28 (assume a7354 (forall ((W tptp.num)) (= (@ tptp.real_V4546457046886955230omplex (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W)))))
% 13.98/14.28 (assume a7355 (= (@ tptp.cos_real (@ tptp.real_V1803761363581548252l_real tptp.pi)) (@ tptp.uminus_uminus_real tptp.one_one_real)))
% 13.98/14.28 (assume a7356 (= (@ tptp.cos_complex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 13.98/14.28 (assume a7357 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (= (@ tptp.cos_real (@ tptp.arccos Y)) Y)))))
% 13.98/14.28 (assume a7358 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (= (@ tptp.sin_real (@ tptp.arcsin Y)) Y)))))
% 13.98/14.28 (assume a7359 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.extended_enat))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups7108830773950497114d_enat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.zero_z5237406670263579293d_enat)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups7108830773950497114d_enat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.groups7108830773950497114d_enat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 13.98/14.28 (assume a7360 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.complex))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.zero_zero_complex)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 13.98/14.28 (assume a7361 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.int))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.zero_zero_int)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 13.98/14.28 (assume a7362 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.nat))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.zero_zero_nat)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 13.98/14.28 (assume a7363 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.real))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.zero_zero_real)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 13.98/14.28 (assume a7364 (forall ((A2 tptp.set_nat) (C (-> tptp.nat tptp.complex))) (and (=> (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) I5)))) A2) (@ C tptp.zero_zero_nat))) (=> (not (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2))) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) I5)))) A2) tptp.zero_zero_complex)))))
% 13.98/14.28 (assume a7365 (forall ((A2 tptp.set_nat) (C (-> tptp.nat tptp.real))) (and (=> (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real tptp.zero_zero_real) I5)))) A2) (@ C tptp.zero_zero_nat))) (=> (not (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2))) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real tptp.zero_zero_real) I5)))) A2) tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7366 (forall ((X tptp.real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1803761363581548252l_real X)) tptp.one_one_real)) (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)))))
% 13.98/14.28 (assume a7367 (forall ((X tptp.real)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex (@ tptp.real_V4546457046886955230omplex X)) tptp.one_one_complex)) (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)))))
% 13.98/14.28 (assume a7368 (forall ((X tptp.real) (B tptp.num)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1803761363581548252l_real X)) (@ tptp.numeral_numeral_real B))) (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real X) (@ tptp.numeral_numeral_real B))))))
% 13.98/14.28 (assume a7369 (forall ((X tptp.real) (B tptp.num)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex (@ tptp.real_V4546457046886955230omplex X)) (@ tptp.numera6690914467698888265omplex B))) (@ tptp.abs_abs_real (@ (@ tptp.plus_plus_real X) (@ tptp.numeral_numeral_real B))))))
% 13.98/14.28 (assume a7370 (= (@ tptp.arccos tptp.zero_zero_real) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a7371 (= (@ tptp.arcsin tptp.one_one_real) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 13.98/14.28 (assume a7372 (forall ((A2 tptp.set_nat) (C (-> tptp.nat tptp.complex)) (D (-> tptp.nat tptp.complex))) (and (=> (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) I5))) (@ D I5)))) A2) (@ (@ tptp.divide1717551699836669952omplex (@ C tptp.zero_zero_nat)) (@ D tptp.zero_zero_nat)))) (=> (not (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2))) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) I5))) (@ D I5)))) A2) tptp.zero_zero_complex)))))
% 13.98/14.28 (assume a7373 (forall ((A2 tptp.set_nat) (C (-> tptp.nat tptp.real)) (D (-> tptp.nat tptp.real))) (and (=> (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real tptp.zero_zero_real) I5))) (@ D I5)))) A2) (@ (@ tptp.divide_divide_real (@ C tptp.zero_zero_nat)) (@ D tptp.zero_zero_nat)))) (=> (not (and (@ tptp.finite_finite_nat A2) (@ (@ tptp.member_nat tptp.zero_zero_nat) A2))) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real tptp.zero_zero_real) I5))) (@ D I5)))) A2) tptp.zero_zero_real)))))
% 13.98/14.28 (assume a7374 (= (@ tptp.cos_real (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 13.98/14.28 (assume a7375 (= (@ tptp.cos_complex (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) tptp.zero_zero_complex))
% 13.98/14.28 (assume a7376 (= (@ tptp.sin_real (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.one_one_real))
% 13.98/14.28 (assume a7377 (= (@ tptp.sin_complex (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) tptp.one_one_complex))
% 13.98/14.28 (assume a7378 (= (@ tptp.arcsin (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 13.98/14.28 (assume a7379 (forall ((F (-> tptp.nat tptp.complex)) (A2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups2073611262835488442omplex F) A2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ F I5)))) A2))))
% 13.98/14.28 (assume a7380 (forall ((F (-> tptp.complex tptp.complex)) (A2 tptp.set_complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups7754918857620584856omplex F) A2))) (@ (@ tptp.groups5808333547571424918x_real (lambda ((I5 tptp.complex)) (@ tptp.real_V1022390504157884413omplex (@ F I5)))) A2))))
% 13.98/14.28 (assume a7381 (forall ((F (-> tptp.nat tptp.real)) (A2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.groups6591440286371151544t_real F) A2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ F I5)))) A2))))
% 13.98/14.28 (assume a7382 (forall ((S tptp.set_real) (F (-> tptp.real tptp.complex)) (G (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F X5))) (@ G X5)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups5754745047067104278omplex F) S))) (@ (@ tptp.groups8097168146408367636l_real G) S)))))
% 13.98/14.28 (assume a7383 (forall ((S tptp.set_int) (F (-> tptp.int tptp.complex)) (G (-> tptp.int tptp.real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F X5))) (@ G X5)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups3049146728041665814omplex F) S))) (@ (@ tptp.groups8778361861064173332t_real G) S)))))
% 13.98/14.28 (assume a7384 (forall ((S tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.complex)) (G (-> tptp.product_prod_nat_nat tptp.real))) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X5) S) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F X5))) (@ G X5)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups6381953495645901045omplex F) S))) (@ (@ tptp.groups4567486121110086003t_real G) S)))))
% 13.98/14.28 (assume a7385 (forall ((S tptp.set_nat) (F (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.real))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F X5))) (@ G X5)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups2073611262835488442omplex F) S))) (@ (@ tptp.groups6591440286371151544t_real G) S)))))
% 13.98/14.28 (assume a7386 (forall ((S tptp.set_complex) (F (-> tptp.complex tptp.complex)) (G (-> tptp.complex tptp.real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ F X5))) (@ G X5)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups7754918857620584856omplex F) S))) (@ (@ tptp.groups5808333547571424918x_real G) S)))))
% 13.98/14.28 (assume a7387 (forall ((S tptp.set_nat) (F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ F X5))) (@ G X5)))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.groups6591440286371151544t_real F) S))) (@ (@ tptp.groups6591440286371151544t_real G) S)))))
% 13.98/14.28 (assume a7388 (forall ((K5 tptp.set_real) (F (-> tptp.real tptp.nat)) (G (-> tptp.real tptp.nat))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) K5) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups1935376822645274424al_nat F) K5)) (@ (@ tptp.groups1935376822645274424al_nat G) K5)))))
% 13.98/14.28 (assume a7389 (forall ((K5 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) K5) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups4541462559716669496nt_nat F) K5)) (@ (@ tptp.groups4541462559716669496nt_nat G) K5)))))
% 13.98/14.28 (assume a7390 (forall ((K5 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) K5) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups5693394587270226106ex_nat F) K5)) (@ (@ tptp.groups5693394587270226106ex_nat G) K5)))))
% 13.98/14.28 (assume a7391 (forall ((K5 tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) K5) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) K5)) (@ (@ tptp.groups3539618377306564664at_int G) K5)))))
% 13.98/14.28 (assume a7392 (forall ((K5 tptp.set_real) (F (-> tptp.real tptp.int)) (G (-> tptp.real tptp.int))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) K5) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups1932886352136224148al_int F) K5)) (@ (@ tptp.groups1932886352136224148al_int G) K5)))))
% 13.98/14.28 (assume a7393 (forall ((K5 tptp.set_complex) (F (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) K5) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups5690904116761175830ex_int F) K5)) (@ (@ tptp.groups5690904116761175830ex_int G) K5)))))
% 13.98/14.28 (assume a7394 (forall ((K5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) K5) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat F) K5)) (@ (@ tptp.groups3542108847815614940at_nat G) K5)))))
% 13.98/14.28 (assume a7395 (forall ((K5 tptp.set_nat) (F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) K5) (@ (@ tptp.ord_less_eq_real (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real F) K5)) (@ (@ tptp.groups6591440286371151544t_real G) K5)))))
% 13.98/14.28 (assume a7396 (forall ((K5 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) K5) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups4538972089207619220nt_int F) K5)) (@ (@ tptp.groups4538972089207619220nt_int G) K5)))))
% 13.98/14.28 (assume a7397 (forall ((K5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.product_prod_nat_nat tptp.nat))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) K5) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups977919841031483927at_nat F) K5)) (@ (@ tptp.groups977919841031483927at_nat G) K5)))))
% 13.98/14.28 (assume a7398 (forall ((F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B2 tptp.set_nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups3542108847815614940at_nat G) B2)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_nat (@ F I5)) (@ G J3)))) B2))) A2))))
% 13.98/14.28 (assume a7399 (forall ((F (-> tptp.complex tptp.complex)) (A2 tptp.set_complex) (G (-> tptp.complex tptp.complex)) (B2 tptp.set_complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.groups7754918857620584856omplex F) A2)) (@ (@ tptp.groups7754918857620584856omplex G) B2)) (@ (@ tptp.groups7754918857620584856omplex (lambda ((I5 tptp.complex)) (@ (@ tptp.groups7754918857620584856omplex (lambda ((J3 tptp.complex)) (@ (@ tptp.times_times_complex (@ F I5)) (@ G J3)))) B2))) A2))))
% 13.98/14.28 (assume a7400 (forall ((F (-> tptp.nat tptp.real)) (A2 tptp.set_nat) (G (-> tptp.nat tptp.real)) (B2 tptp.set_nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.groups6591440286371151544t_real F) A2)) (@ (@ tptp.groups6591440286371151544t_real G) B2)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_real (@ F I5)) (@ G J3)))) B2))) A2))))
% 13.98/14.28 (assume a7401 (forall ((F (-> tptp.int tptp.int)) (A2 tptp.set_int) (G (-> tptp.int tptp.int)) (B2 tptp.set_int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.groups4538972089207619220nt_int F) A2)) (@ (@ tptp.groups4538972089207619220nt_int G) B2)) (@ (@ tptp.groups4538972089207619220nt_int (lambda ((I5 tptp.int)) (@ (@ tptp.groups4538972089207619220nt_int (lambda ((J3 tptp.int)) (@ (@ tptp.times_times_int (@ F I5)) (@ G J3)))) B2))) A2))))
% 13.98/14.28 (assume a7402 (forall ((F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat) (R tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) R) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((N tptp.nat)) (@ (@ tptp.times_times_nat (@ F N)) R))) A2))))
% 13.98/14.28 (assume a7403 (forall ((F (-> tptp.complex tptp.complex)) (A2 tptp.set_complex) (R tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.groups7754918857620584856omplex F) A2)) R) (@ (@ tptp.groups7754918857620584856omplex (lambda ((N tptp.complex)) (@ (@ tptp.times_times_complex (@ F N)) R))) A2))))
% 13.98/14.28 (assume a7404 (forall ((F (-> tptp.nat tptp.real)) (A2 tptp.set_nat) (R tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.groups6591440286371151544t_real F) A2)) R) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) R))) A2))))
% 13.98/14.28 (assume a7405 (forall ((F (-> tptp.int tptp.int)) (A2 tptp.set_int) (R tptp.int)) (= (@ (@ tptp.times_times_int (@ (@ tptp.groups4538972089207619220nt_int F) A2)) R) (@ (@ tptp.groups4538972089207619220nt_int (lambda ((N tptp.int)) (@ (@ tptp.times_times_int (@ F N)) R))) A2))))
% 13.98/14.28 (assume a7406 (forall ((R tptp.nat) (F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.times_times_nat R) (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((N tptp.nat)) (@ (@ tptp.times_times_nat R) (@ F N)))) A2))))
% 13.98/14.28 (assume a7407 (forall ((R tptp.complex) (F (-> tptp.complex tptp.complex)) (A2 tptp.set_complex)) (= (@ (@ tptp.times_times_complex R) (@ (@ tptp.groups7754918857620584856omplex F) A2)) (@ (@ tptp.groups7754918857620584856omplex (lambda ((N tptp.complex)) (@ (@ tptp.times_times_complex R) (@ F N)))) A2))))
% 13.98/14.28 (assume a7408 (forall ((R tptp.real) (F (-> tptp.nat tptp.real)) (A2 tptp.set_nat)) (= (@ (@ tptp.times_times_real R) (@ (@ tptp.groups6591440286371151544t_real F) A2)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real R) (@ F N)))) A2))))
% 13.98/14.28 (assume a7409 (forall ((R tptp.int) (F (-> tptp.int tptp.int)) (A2 tptp.set_int)) (= (@ (@ tptp.times_times_int R) (@ (@ tptp.groups4538972089207619220nt_int F) A2)) (@ (@ tptp.groups4538972089207619220nt_int (lambda ((N tptp.int)) (@ (@ tptp.times_times_int R) (@ F N)))) A2))))
% 13.98/14.28 (assume a7410 (forall ((G (-> tptp.nat tptp.nat)) (H2 (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) A2)) (@ (@ tptp.groups3542108847815614940at_nat H2) A2)))))
% 13.98/14.28 (assume a7411 (forall ((G (-> tptp.complex tptp.complex)) (H2 (-> tptp.complex tptp.complex)) (A2 tptp.set_complex)) (= (@ (@ tptp.groups7754918857620584856omplex (lambda ((X2 tptp.complex)) (@ (@ tptp.plus_plus_complex (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups7754918857620584856omplex G) A2)) (@ (@ tptp.groups7754918857620584856omplex H2) A2)))))
% 13.98/14.28 (assume a7412 (forall ((G (-> tptp.nat tptp.real)) (H2 (-> tptp.nat tptp.real)) (A2 tptp.set_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((X2 tptp.nat)) (@ (@ tptp.plus_plus_real (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) A2)) (@ (@ tptp.groups6591440286371151544t_real H2) A2)))))
% 13.98/14.28 (assume a7413 (forall ((G (-> tptp.int tptp.int)) (H2 (-> tptp.int tptp.int)) (A2 tptp.set_int)) (= (@ (@ tptp.groups4538972089207619220nt_int (lambda ((X2 tptp.int)) (@ (@ tptp.plus_plus_int (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups4538972089207619220nt_int G) A2)) (@ (@ tptp.groups4538972089207619220nt_int H2) A2)))))
% 13.98/14.28 (assume a7414 (forall ((F (-> tptp.complex tptp.complex)) (A2 tptp.set_complex) (R tptp.complex)) (= (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.groups7754918857620584856omplex F) A2)) R) (@ (@ tptp.groups7754918857620584856omplex (lambda ((N tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ F N)) R))) A2))))
% 13.98/14.28 (assume a7415 (forall ((F (-> tptp.nat tptp.real)) (A2 tptp.set_nat) (R tptp.real)) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.groups6591440286371151544t_real F) A2)) R) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real (@ F N)) R))) A2))))
% 13.98/14.28 (assume a7416 (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (A2 tptp.set_nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.modulo_modulo_nat (@ F I5)) A))) A2)) A) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) A))))
% 13.98/14.28 (assume a7417 (forall ((F (-> tptp.int tptp.int)) (A tptp.int) (A2 tptp.set_int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.groups4538972089207619220nt_int (lambda ((I5 tptp.int)) (@ (@ tptp.modulo_modulo_int (@ F I5)) A))) A2)) A) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.groups4538972089207619220nt_int F) A2)) A))))
% 13.98/14.28 (assume a7418 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups7108830773950497114d_enat F) A2)))))
% 13.98/14.28 (assume a7419 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups2800946370649118462d_enat F) A2)))))
% 13.98/14.28 (assume a7420 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups4225252721152677374d_enat F) A2)))))
% 13.98/14.28 (assume a7421 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups1752964319039525884d_enat F) A2)))))
% 13.98/14.28 (assume a7422 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.groups8097168146408367636l_real F) A2)))))
% 13.98/14.28 (assume a7423 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.groups8778361861064173332t_real F) A2)))))
% 13.98/14.28 (assume a7424 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.groups5808333547571424918x_real F) A2)))))
% 13.98/14.28 (assume a7425 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.groups1935376822645274424al_nat F) A2)))))
% 13.98/14.28 (assume a7426 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.groups4541462559716669496nt_nat F) A2)))))
% 13.98/14.28 (assume a7427 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.groups5693394587270226106ex_nat F) A2)))))
% 13.98/14.28 (assume a7428 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.zero_z5237406670263579293d_enat))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups7108830773950497114d_enat F) A2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.28 (assume a7429 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.zero_z5237406670263579293d_enat))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups2800946370649118462d_enat F) A2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.28 (assume a7430 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.zero_z5237406670263579293d_enat))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups4225252721152677374d_enat F) A2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.28 (assume a7431 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.zero_z5237406670263579293d_enat))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups1752964319039525884d_enat F) A2)) tptp.zero_z5237406670263579293d_enat))))
% 13.98/14.28 (assume a7432 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.zero_zero_real))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups8097168146408367636l_real F) A2)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a7433 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.zero_zero_real))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups8778361861064173332t_real F) A2)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a7434 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.zero_zero_real))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups5808333547571424918x_real F) A2)) tptp.zero_zero_real))))
% 13.98/14.28 (assume a7435 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_nat (@ F X5)) tptp.zero_zero_nat))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups1935376822645274424al_nat F) A2)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a7436 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_nat (@ F X5)) tptp.zero_zero_nat))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups4541462559716669496nt_nat F) A2)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a7437 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_nat (@ F X5)) tptp.zero_zero_nat))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) tptp.zero_zero_nat))))
% 13.98/14.28 (assume a7438 (forall ((F (-> tptp.real tptp.nat)) (I6 tptp.set_real) (G (-> tptp.real tptp.nat)) (I2 tptp.real)) (=> (= (@ (@ tptp.groups1935376822645274424al_nat F) I6) (@ (@ tptp.groups1935376822645274424al_nat G) I6)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_real I2) I6) (=> (@ tptp.finite_finite_real I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7439 (forall ((F (-> tptp.int tptp.nat)) (I6 tptp.set_int) (G (-> tptp.int tptp.nat)) (I2 tptp.int)) (=> (= (@ (@ tptp.groups4541462559716669496nt_nat F) I6) (@ (@ tptp.groups4541462559716669496nt_nat G) I6)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_int I2) I6) (=> (@ tptp.finite_finite_int I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7440 (forall ((F (-> tptp.complex tptp.nat)) (I6 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (I2 tptp.complex)) (=> (= (@ (@ tptp.groups5693394587270226106ex_nat F) I6) (@ (@ tptp.groups5693394587270226106ex_nat G) I6)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ tptp.finite3207457112153483333omplex I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7441 (forall ((F (-> tptp.real tptp.int)) (I6 tptp.set_real) (G (-> tptp.real tptp.int)) (I2 tptp.real)) (=> (= (@ (@ tptp.groups1932886352136224148al_int F) I6) (@ (@ tptp.groups1932886352136224148al_int G) I6)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_real I2) I6) (=> (@ tptp.finite_finite_real I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7442 (forall ((F (-> tptp.nat tptp.int)) (I6 tptp.set_nat) (G (-> tptp.nat tptp.int)) (I2 tptp.nat)) (=> (= (@ (@ tptp.groups3539618377306564664at_int F) I6) (@ (@ tptp.groups3539618377306564664at_int G) I6)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_nat I2) I6) (=> (@ tptp.finite_finite_nat I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7443 (forall ((F (-> tptp.complex tptp.int)) (I6 tptp.set_complex) (G (-> tptp.complex tptp.int)) (I2 tptp.complex)) (=> (= (@ (@ tptp.groups5690904116761175830ex_int F) I6) (@ (@ tptp.groups5690904116761175830ex_int G) I6)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ tptp.finite3207457112153483333omplex I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7444 (forall ((F (-> tptp.nat tptp.nat)) (I6 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (I2 tptp.nat)) (=> (= (@ (@ tptp.groups3542108847815614940at_nat F) I6) (@ (@ tptp.groups3542108847815614940at_nat G) I6)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_nat I2) I6) (=> (@ tptp.finite_finite_nat I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7445 (forall ((F (-> tptp.nat tptp.real)) (I6 tptp.set_nat) (G (-> tptp.nat tptp.real)) (I2 tptp.nat)) (=> (= (@ (@ tptp.groups6591440286371151544t_real F) I6) (@ (@ tptp.groups6591440286371151544t_real G) I6)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_nat I2) I6) (=> (@ tptp.finite_finite_nat I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7446 (forall ((F (-> tptp.int tptp.int)) (I6 tptp.set_int) (G (-> tptp.int tptp.int)) (I2 tptp.int)) (=> (= (@ (@ tptp.groups4538972089207619220nt_int F) I6) (@ (@ tptp.groups4538972089207619220nt_int G) I6)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member_int I2) I6) (=> (@ tptp.finite_finite_int I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7447 (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (I6 tptp.set_Pr1261947904930325089at_nat) (G (-> tptp.product_prod_nat_nat tptp.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.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4)))) (=> (@ (@ tptp.member8440522571783428010at_nat I2) I6) (=> (@ tptp.finite6177210948735845034at_nat I6) (= (@ F I2) (@ G I2))))))))
% 13.98/14.28 (assume a7448 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (not (@ (@ tptp.member_nat tptp.zero_zero_nat) A2)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat (@ tptp.suc X5)) A2) (= (@ F (@ tptp.suc X5)) (@ G (@ tptp.suc X5))))) (= (@ (@ tptp.groups3542108847815614940at_nat F) A2) (@ (@ tptp.groups3542108847815614940at_nat G) A2))))))
% 13.98/14.28 (assume a7449 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (not (@ (@ tptp.member_nat tptp.zero_zero_nat) A2)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat (@ tptp.suc X5)) A2) (= (@ F (@ tptp.suc X5)) (@ G (@ tptp.suc X5))))) (= (@ (@ tptp.groups6591440286371151544t_real F) A2) (@ (@ tptp.groups6591440286371151544t_real G) A2))))))
% 13.98/14.28 (assume a7450 (forall ((R tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.times_times_complex (@ tptp.real_V4546457046886955230omplex R)) (@ (@ tptp.complex2 X) Y)) (@ (@ tptp.complex2 (@ (@ tptp.times_times_real R) X)) (@ (@ tptp.times_times_real R) Y)))))
% 13.98/14.28 (assume a7451 (forall ((X tptp.real) (Y tptp.real) (R tptp.real)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.complex2 X) Y)) (@ tptp.real_V4546457046886955230omplex R)) (@ (@ tptp.complex2 (@ (@ tptp.times_times_real X) R)) (@ (@ tptp.times_times_real Y) R)))))
% 13.98/14.28 (assume a7452 (forall ((G (-> tptp.nat tptp.nat)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ tptp.suc N2))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.28 (assume a7453 (forall ((G (-> tptp.nat tptp.real)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ tptp.suc N2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.28 (assume a7454 (forall ((G (-> tptp.nat tptp.nat)) (M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat M) K)) (@ (@ tptp.plus_plus_nat N2) K))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.plus_plus_nat I5) K)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.28 (assume a7455 (forall ((G (-> tptp.nat tptp.real)) (M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat M) K)) (@ (@ tptp.plus_plus_nat N2) K))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.plus_plus_nat I5) K)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.28 (assume a7456 (forall ((S3 tptp.set_nat) (T tptp.set_nat) (G (-> tptp.nat tptp.extended_enat)) (I2 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat S3) (=> (@ tptp.finite_finite_nat T) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) T) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ G X5)))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S3) (exists ((Xa tptp.nat)) (and (@ (@ tptp.member_nat Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups7108830773950497114d_enat F) S3)) (@ (@ tptp.groups7108830773950497114d_enat G) T))))))))
% 13.98/14.28 (assume a7457 (forall ((S3 tptp.set_nat) (T tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (I2 (-> tptp.complex tptp.nat)) (F (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat S3) (=> (@ tptp.finite3207457112153483333omplex T) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) T) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ G X5)))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S3) (exists ((Xa tptp.complex)) (and (@ (@ tptp.member_complex Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups7108830773950497114d_enat F) S3)) (@ (@ tptp.groups1752964319039525884d_enat G) T))))))))
% 13.98/14.28 (assume a7458 (forall ((S3 tptp.set_complex) (T tptp.set_nat) (G (-> tptp.nat tptp.extended_enat)) (I2 (-> tptp.nat tptp.complex)) (F (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (@ tptp.finite_finite_nat T) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) T) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ G X5)))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S3) (exists ((Xa tptp.nat)) (and (@ (@ tptp.member_nat Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups1752964319039525884d_enat F) S3)) (@ (@ tptp.groups7108830773950497114d_enat G) T))))))))
% 13.98/14.28 (assume a7459 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (I2 (-> tptp.complex tptp.complex)) (F (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (@ tptp.finite3207457112153483333omplex T) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) T) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ G X5)))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S3) (exists ((Xa tptp.complex)) (and (@ (@ tptp.member_complex Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups1752964319039525884d_enat F) S3)) (@ (@ tptp.groups1752964319039525884d_enat G) T))))))))
% 13.98/14.28 (assume a7460 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G (-> tptp.complex tptp.real)) (I2 (-> tptp.complex tptp.complex)) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (@ tptp.finite3207457112153483333omplex T) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) T) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ G X5)))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S3) (exists ((Xa tptp.complex)) (and (@ (@ tptp.member_complex Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups5808333547571424918x_real F) S3)) (@ (@ tptp.groups5808333547571424918x_real G) T))))))))
% 13.98/14.28 (assume a7461 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G (-> tptp.complex tptp.nat)) (I2 (-> tptp.complex tptp.complex)) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (@ tptp.finite3207457112153483333omplex T) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) T) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ G X5)))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S3) (exists ((Xa tptp.complex)) (and (@ (@ tptp.member_complex Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups5693394587270226106ex_nat F) S3)) (@ (@ tptp.groups5693394587270226106ex_nat G) T))))))))
% 13.98/14.28 (assume a7462 (forall ((S3 tptp.set_nat) (T tptp.set_nat) (G (-> tptp.nat tptp.int)) (I2 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat S3) (=> (@ tptp.finite_finite_nat T) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) T) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ G X5)))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S3) (exists ((Xa tptp.nat)) (and (@ (@ tptp.member_nat Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) S3)) (@ (@ tptp.groups3539618377306564664at_int G) T))))))))
% 13.98/14.28 (assume a7463 (forall ((S3 tptp.set_nat) (T tptp.set_complex) (G (-> tptp.complex tptp.int)) (I2 (-> tptp.complex tptp.nat)) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat S3) (=> (@ tptp.finite3207457112153483333omplex T) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) T) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ G X5)))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S3) (exists ((Xa tptp.complex)) (and (@ (@ tptp.member_complex Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) S3)) (@ (@ tptp.groups5690904116761175830ex_int G) T))))))))
% 13.98/14.28 (assume a7464 (forall ((S3 tptp.set_complex) (T tptp.set_nat) (G (-> tptp.nat tptp.int)) (I2 (-> tptp.nat tptp.complex)) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (@ tptp.finite_finite_nat T) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) T) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ G X5)))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S3) (exists ((Xa tptp.nat)) (and (@ (@ tptp.member_nat Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups5690904116761175830ex_int F) S3)) (@ (@ tptp.groups3539618377306564664at_int G) T))))))))
% 13.98/14.28 (assume a7465 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G (-> tptp.complex tptp.int)) (I2 (-> tptp.complex tptp.complex)) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (@ tptp.finite3207457112153483333omplex T) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) T) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ G X5)))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S3) (exists ((Xa tptp.complex)) (and (@ (@ tptp.member_complex Xa) T) (= (@ I2 Xa) X5) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G Xa)))))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups5690904116761175830ex_int F) S3)) (@ (@ tptp.groups5690904116761175830ex_int G) T))))))))
% 13.98/14.28 (assume a7466 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real A2) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (= (= (@ (@ tptp.groups2800946370649118462d_enat F) A2) tptp.zero_z5237406670263579293d_enat) (forall ((X2 tptp.real)) (=> (@ (@ tptp.member_real X2) A2) (= (@ F X2) tptp.zero_z5237406670263579293d_enat))))))))
% 13.98/14.28 (assume a7467 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (= (= (@ (@ tptp.groups4225252721152677374d_enat F) A2) tptp.zero_z5237406670263579293d_enat) (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) A2) (= (@ F X2) tptp.zero_z5237406670263579293d_enat))))))))
% 13.98/14.28 (assume a7468 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat A2) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (= (= (@ (@ tptp.groups7108830773950497114d_enat F) A2) tptp.zero_z5237406670263579293d_enat) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) A2) (= (@ F X2) tptp.zero_z5237406670263579293d_enat))))))))
% 13.98/14.28 (assume a7469 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (= (= (@ (@ tptp.groups1752964319039525884d_enat F) A2) tptp.zero_z5237406670263579293d_enat) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) A2) (= (@ F X2) tptp.zero_z5237406670263579293d_enat))))))))
% 13.98/14.28 (assume a7470 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (= (= (@ (@ tptp.groups8097168146408367636l_real F) A2) tptp.zero_zero_real) (forall ((X2 tptp.real)) (=> (@ (@ tptp.member_real X2) A2) (= (@ F X2) tptp.zero_zero_real))))))))
% 13.98/14.28 (assume a7471 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (= (= (@ (@ tptp.groups8778361861064173332t_real F) A2) tptp.zero_zero_real) (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) A2) (= (@ F X2) tptp.zero_zero_real))))))))
% 13.98/14.28 (assume a7472 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (= (= (@ (@ tptp.groups5808333547571424918x_real F) A2) tptp.zero_zero_real) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) A2) (= (@ F X2) tptp.zero_zero_real))))))))
% 13.98/14.28 (assume a7473 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (= (= (@ (@ tptp.groups1935376822645274424al_nat F) A2) tptp.zero_zero_nat) (forall ((X2 tptp.real)) (=> (@ (@ tptp.member_real X2) A2) (= (@ F X2) tptp.zero_zero_nat))))))))
% 13.98/14.28 (assume a7474 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (= (= (@ (@ tptp.groups4541462559716669496nt_nat F) A2) tptp.zero_zero_nat) (forall ((X2 tptp.int)) (=> (@ (@ tptp.member_int X2) A2) (= (@ F X2) tptp.zero_zero_nat))))))))
% 13.98/14.28 (assume a7475 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (= (= (@ (@ tptp.groups5693394587270226106ex_nat F) A2) tptp.zero_zero_nat) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) A2) (= (@ F X2) tptp.zero_zero_nat))))))))
% 13.98/14.28 (assume a7476 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.complex)) (and (@ (@ tptp.member_complex X3) A2) (@ (@ tptp.ord_less_real (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups5808333547571424918x_real F) A2)) (@ (@ tptp.groups5808333547571424918x_real G) A2)))))))
% 13.98/14.28 (assume a7477 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.complex)) (and (@ (@ tptp.member_complex X3) A2) (@ (@ tptp.ord_less_nat (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) (@ (@ tptp.groups5693394587270226106ex_nat G) A2)))))))
% 13.98/14.28 (assume a7478 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A2) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.nat)) (and (@ (@ tptp.member_nat X3) A2) (@ (@ tptp.ord_less_int (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups3539618377306564664at_int F) A2)) (@ (@ tptp.groups3539618377306564664at_int G) A2)))))))
% 13.98/14.28 (assume a7479 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.complex)) (and (@ (@ tptp.member_complex X3) A2) (@ (@ tptp.ord_less_int (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups5690904116761175830ex_int F) A2)) (@ (@ tptp.groups5690904116761175830ex_int G) A2)))))))
% 13.98/14.28 (assume a7480 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_nat (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.nat)) (and (@ (@ tptp.member_nat X3) A2) (@ (@ tptp.ord_less_nat (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups3542108847815614940at_nat G) A2)))))))
% 13.98/14.28 (assume a7481 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat A2) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_real (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.nat)) (and (@ (@ tptp.member_nat X3) A2) (@ (@ tptp.ord_less_real (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups6591440286371151544t_real F) A2)) (@ (@ tptp.groups6591440286371151544t_real G) A2)))))))
% 13.98/14.28 (assume a7482 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_int (@ F X5)) (@ G X5)))) (=> (exists ((X3 tptp.int)) (and (@ (@ tptp.member_int X3) A2) (@ (@ tptp.ord_less_int (@ F X3)) (@ G X3)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups4538972089207619220nt_int F) A2)) (@ (@ tptp.groups4538972089207619220nt_int G) A2)))))))
% 13.98/14.28 (assume a7483 (forall ((R2 (-> tptp.extended_enat tptp.extended_enat Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.extended_enat)) (G (-> tptp.nat tptp.extended_enat))) (=> (@ (@ 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 (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_p3455044024723400733d_enat X15) Y15)) (@ (@ tptp.plus_p3455044024723400733d_enat X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups7108830773950497114d_enat H2) S)) (@ (@ tptp.groups7108830773950497114d_enat G) S))))))))
% 13.98/14.28 (assume a7484 (forall ((R2 (-> tptp.extended_enat tptp.extended_enat Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.extended_enat)) (G (-> tptp.complex tptp.extended_enat))) (=> (@ (@ 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 (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_p3455044024723400733d_enat X15) Y15)) (@ (@ tptp.plus_p3455044024723400733d_enat X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups1752964319039525884d_enat H2) S)) (@ (@ tptp.groups1752964319039525884d_enat G) S))))))))
% 13.98/14.28 (assume a7485 (forall ((R2 (-> tptp.complex tptp.complex Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.complex))) (=> (@ (@ R2 tptp.zero_zero_complex) tptp.zero_zero_complex) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_complex X15) Y15)) (@ (@ tptp.plus_plus_complex X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups2073611262835488442omplex H2) S)) (@ (@ tptp.groups2073611262835488442omplex G) S))))))))
% 13.98/14.28 (assume a7486 (forall ((R2 (-> tptp.real tptp.real Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ (@ R2 tptp.zero_zero_real) tptp.zero_zero_real) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_real X15) Y15)) (@ (@ tptp.plus_plus_real X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups5808333547571424918x_real H2) S)) (@ (@ tptp.groups5808333547571424918x_real G) S))))))))
% 13.98/14.28 (assume a7487 (forall ((R2 (-> tptp.nat tptp.nat Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ (@ R2 tptp.zero_zero_nat) tptp.zero_zero_nat) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_nat X15) Y15)) (@ (@ tptp.plus_plus_nat X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups5693394587270226106ex_nat H2) S)) (@ (@ tptp.groups5693394587270226106ex_nat G) S))))))))
% 13.98/14.28 (assume a7488 (forall ((R2 (-> tptp.int tptp.int Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ (@ R2 tptp.zero_zero_int) tptp.zero_zero_int) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_int X15) Y15)) (@ (@ tptp.plus_plus_int X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups3539618377306564664at_int H2) S)) (@ (@ tptp.groups3539618377306564664at_int G) S))))))))
% 13.98/14.28 (assume a7489 (forall ((R2 (-> tptp.int tptp.int Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ (@ R2 tptp.zero_zero_int) tptp.zero_zero_int) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_int X15) Y15)) (@ (@ tptp.plus_plus_int X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups5690904116761175830ex_int H2) S)) (@ (@ tptp.groups5690904116761175830ex_int G) S))))))))
% 13.98/14.28 (assume a7490 (forall ((R2 (-> tptp.nat tptp.nat Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ R2 tptp.zero_zero_nat) tptp.zero_zero_nat) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_nat X15) Y15)) (@ (@ tptp.plus_plus_nat X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups3542108847815614940at_nat H2) S)) (@ (@ tptp.groups3542108847815614940at_nat G) S))))))))
% 13.98/14.28 (assume a7491 (forall ((R2 (-> tptp.complex tptp.complex Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.complex)) (G (-> tptp.complex tptp.complex))) (=> (@ (@ R2 tptp.zero_zero_complex) tptp.zero_zero_complex) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_complex X15) Y15)) (@ (@ tptp.plus_plus_complex X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups7754918857620584856omplex H2) S)) (@ (@ tptp.groups7754918857620584856omplex G) S))))))))
% 13.98/14.28 (assume a7492 (forall ((R2 (-> tptp.real tptp.real Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (@ (@ R2 tptp.zero_zero_real) tptp.zero_zero_real) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.plus_plus_real X15) Y15)) (@ (@ tptp.plus_plus_real X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups6591440286371151544t_real H2) S)) (@ (@ tptp.groups6591440286371151544t_real G) S))))))))
% 13.98/14.28 (assume a7493 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat)) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= A2 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.groups1752964319039525884d_enat F) A2)) (@ (@ tptp.groups1752964319039525884d_enat G) A2)))))))
% 13.98/14.28 (assume a7494 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat)) (G (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat A2) (=> (not (= A2 tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.groups7108830773950497114d_enat F) A2)) (@ (@ tptp.groups7108830773950497114d_enat G) A2)))))))
% 13.98/14.28 (assume a7495 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat)) (G (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int A2) (=> (not (= A2 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.groups4225252721152677374d_enat F) A2)) (@ (@ tptp.groups4225252721152677374d_enat G) A2)))))))
% 13.98/14.28 (assume a7496 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat)) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real A2) (=> (not (= A2 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_le72135733267957522d_enat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_le72135733267957522d_enat (@ (@ tptp.groups2800946370649118462d_enat F) A2)) (@ (@ tptp.groups2800946370649118462d_enat G) A2)))))))
% 13.98/14.28 (assume a7497 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= A2 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_real (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups5808333547571424918x_real F) A2)) (@ (@ tptp.groups5808333547571424918x_real G) A2)))))))
% 13.98/14.28 (assume a7498 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real)) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (not (= A2 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_real (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups8778361861064173332t_real F) A2)) (@ (@ tptp.groups8778361861064173332t_real G) A2)))))))
% 13.98/14.28 (assume a7499 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real)) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (not (= A2 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_real (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups8097168146408367636l_real F) A2)) (@ (@ tptp.groups8097168146408367636l_real G) A2)))))))
% 13.98/14.28 (assume a7500 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= A2 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_nat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) (@ (@ tptp.groups5693394587270226106ex_nat G) A2)))))))
% 13.98/14.28 (assume a7501 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (not (= A2 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_nat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups4541462559716669496nt_nat F) A2)) (@ (@ tptp.groups4541462559716669496nt_nat G) A2)))))))
% 13.98/14.28 (assume a7502 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat)) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (=> (not (= A2 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_nat (@ F X5)) (@ G X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups1935376822645274424al_nat F) A2)) (@ (@ tptp.groups1935376822645274424al_nat G) A2)))))))
% 13.98/14.28 (assume a7503 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups5754745047067104278omplex G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups5754745047067104278omplex G) A2))))))))
% 13.98/14.28 (assume a7504 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int A2) (and (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups3049146728041665814omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.groups3049146728041665814omplex G) A2))) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups3049146728041665814omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups3049146728041665814omplex G) A2))))))))
% 13.98/14.28 (assume a7505 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat A2) (and (=> (@ (@ tptp.member_nat X) A2) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.groups2073611262835488442omplex G) A2))) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups2073611262835488442omplex G) A2))))))))
% 13.98/14.28 (assume a7506 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups8097168146408367636l_real G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8097168146408367636l_real G) A2))))))))
% 13.98/14.28 (assume a7507 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (and (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups8778361861064173332t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.groups8778361861064173332t_real G) A2))) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups8778361861064173332t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8778361861064173332t_real G) A2))))))))
% 13.98/14.28 (assume a7508 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (and (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.groups5808333547571424918x_real G) A2))) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups5808333547571424918x_real G) A2))))))))
% 13.98/14.28 (assume a7509 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups1935376822645274424al_nat G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups1935376822645274424al_nat G) A2))))))))
% 13.98/14.28 (assume a7510 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (and (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups4541462559716669496nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.groups4541462559716669496nt_nat G) A2))) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups4541462559716669496nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups4541462559716669496nt_nat G) A2))))))))
% 13.98/14.28 (assume a7511 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (and (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.groups5693394587270226106ex_nat G) A2))) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups5693394587270226106ex_nat G) A2))))))))
% 13.98/14.28 (assume a7512 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups1932886352136224148al_int G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_int (@ G X)) (@ (@ tptp.groups1932886352136224148al_int G) A2))))))))
% 13.98/14.28 (assume a7513 (forall ((Y tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real X)) (@ tptp.real_V1803761363581548252l_real Y))))))
% 13.98/14.28 (assume a7514 (forall ((Y tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex X)) (@ tptp.real_V4546457046886955230omplex Y))))))
% 13.98/14.28 (assume a7515 (forall ((S3 tptp.set_real) (F (-> tptp.real tptp.extended_enat)) (B2 tptp.extended_enat) (I2 tptp.real)) (=> (@ tptp.finite_finite_real S3) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups2800946370649118462d_enat F) S3) B2) (=> (@ (@ tptp.member_real I2) S3) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7516 (forall ((S3 tptp.set_int) (F (-> tptp.int tptp.extended_enat)) (B2 tptp.extended_enat) (I2 tptp.int)) (=> (@ tptp.finite_finite_int S3) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups4225252721152677374d_enat F) S3) B2) (=> (@ (@ tptp.member_int I2) S3) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7517 (forall ((S3 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat)) (B2 tptp.extended_enat) (I2 tptp.nat)) (=> (@ tptp.finite_finite_nat S3) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups7108830773950497114d_enat F) S3) B2) (=> (@ (@ tptp.member_nat I2) S3) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7518 (forall ((S3 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat)) (B2 tptp.extended_enat) (I2 tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups1752964319039525884d_enat F) S3) B2) (=> (@ (@ tptp.member_complex I2) S3) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7519 (forall ((S3 tptp.set_real) (F (-> tptp.real tptp.real)) (B2 tptp.real) (I2 tptp.real)) (=> (@ tptp.finite_finite_real S3) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) S3) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (=> (= (@ (@ tptp.groups8097168146408367636l_real F) S3) B2) (=> (@ (@ tptp.member_real I2) S3) (@ (@ tptp.ord_less_eq_real (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7520 (forall ((S3 tptp.set_int) (F (-> tptp.int tptp.real)) (B2 tptp.real) (I2 tptp.int)) (=> (@ tptp.finite_finite_int S3) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) S3) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (=> (= (@ (@ tptp.groups8778361861064173332t_real F) S3) B2) (=> (@ (@ tptp.member_int I2) S3) (@ (@ tptp.ord_less_eq_real (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7521 (forall ((S3 tptp.set_complex) (F (-> tptp.complex tptp.real)) (B2 tptp.real) (I2 tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) S3) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (=> (= (@ (@ tptp.groups5808333547571424918x_real F) S3) B2) (=> (@ (@ tptp.member_complex I2) S3) (@ (@ tptp.ord_less_eq_real (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7522 (forall ((S3 tptp.set_real) (F (-> tptp.real tptp.nat)) (B2 tptp.nat) (I2 tptp.real)) (=> (@ tptp.finite_finite_real S3) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) S3) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (=> (= (@ (@ tptp.groups1935376822645274424al_nat F) S3) B2) (=> (@ (@ tptp.member_real I2) S3) (@ (@ tptp.ord_less_eq_nat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7523 (forall ((S3 tptp.set_int) (F (-> tptp.int tptp.nat)) (B2 tptp.nat) (I2 tptp.int)) (=> (@ tptp.finite_finite_int S3) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) S3) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (=> (= (@ (@ tptp.groups4541462559716669496nt_nat F) S3) B2) (=> (@ (@ tptp.member_int I2) S3) (@ (@ tptp.ord_less_eq_nat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7524 (forall ((S3 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (B2 tptp.nat) (I2 tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) S3) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (=> (= (@ (@ tptp.groups5693394587270226106ex_nat F) S3) B2) (=> (@ (@ tptp.member_complex I2) S3) (@ (@ tptp.ord_less_eq_nat (@ F I2)) B2)))))))
% 13.98/14.28 (assume a7525 (forall ((S3 tptp.set_real) (F (-> tptp.real tptp.extended_enat)) (I2 tptp.real)) (=> (@ tptp.finite_finite_real S3) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups2800946370649118462d_enat F) S3) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.member_real I2) S3) (= (@ F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.28 (assume a7526 (forall ((S3 tptp.set_int) (F (-> tptp.int tptp.extended_enat)) (I2 tptp.int)) (=> (@ tptp.finite_finite_int S3) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups4225252721152677374d_enat F) S3) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.member_int I2) S3) (= (@ F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.28 (assume a7527 (forall ((S3 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat)) (I2 tptp.nat)) (=> (@ tptp.finite_finite_nat S3) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups7108830773950497114d_enat F) S3) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.member_nat I2) S3) (= (@ F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.28 (assume a7528 (forall ((S3 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat)) (I2 tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) S3) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (=> (= (@ (@ tptp.groups1752964319039525884d_enat F) S3) tptp.zero_z5237406670263579293d_enat) (=> (@ (@ tptp.member_complex I2) S3) (= (@ F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 13.98/14.28 (assume a7529 (forall ((S3 tptp.set_real) (F (-> tptp.real tptp.real)) (I2 tptp.real)) (=> (@ tptp.finite_finite_real S3) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) S3) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (=> (= (@ (@ tptp.groups8097168146408367636l_real F) S3) tptp.zero_zero_real) (=> (@ (@ tptp.member_real I2) S3) (= (@ F I2) tptp.zero_zero_real)))))))
% 13.98/14.28 (assume a7530 (forall ((S3 tptp.set_int) (F (-> tptp.int tptp.real)) (I2 tptp.int)) (=> (@ tptp.finite_finite_int S3) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) S3) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (=> (= (@ (@ tptp.groups8778361861064173332t_real F) S3) tptp.zero_zero_real) (=> (@ (@ tptp.member_int I2) S3) (= (@ F I2) tptp.zero_zero_real)))))))
% 13.98/14.28 (assume a7531 (forall ((S3 tptp.set_complex) (F (-> tptp.complex tptp.real)) (I2 tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) S3) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (=> (= (@ (@ tptp.groups5808333547571424918x_real F) S3) tptp.zero_zero_real) (=> (@ (@ tptp.member_complex I2) S3) (= (@ F I2) tptp.zero_zero_real)))))))
% 13.98/14.28 (assume a7532 (forall ((S3 tptp.set_real) (F (-> tptp.real tptp.nat)) (I2 tptp.real)) (=> (@ tptp.finite_finite_real S3) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) S3) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (=> (= (@ (@ tptp.groups1935376822645274424al_nat F) S3) tptp.zero_zero_nat) (=> (@ (@ tptp.member_real I2) S3) (= (@ F I2) tptp.zero_zero_nat)))))))
% 13.98/14.28 (assume a7533 (forall ((S3 tptp.set_int) (F (-> tptp.int tptp.nat)) (I2 tptp.int)) (=> (@ tptp.finite_finite_int S3) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) S3) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (=> (= (@ (@ tptp.groups4541462559716669496nt_nat F) S3) tptp.zero_zero_nat) (=> (@ (@ tptp.member_int I2) S3) (= (@ F I2) tptp.zero_zero_nat)))))))
% 13.98/14.28 (assume a7534 (forall ((S3 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (I2 tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex S3) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) S3) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (=> (= (@ (@ tptp.groups5693394587270226106ex_nat F) S3) tptp.zero_zero_nat) (=> (@ (@ tptp.member_complex I2) S3) (= (@ F I2) tptp.zero_zero_nat)))))))
% 13.98/14.28 (assume a7535 (forall ((X tptp.complex) (M tptp.nat) (I6 tptp.set_nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.power_power_complex X) (@ (@ tptp.plus_plus_nat M) I5)))) I6) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) M)) (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) I6)))))
% 13.98/14.28 (assume a7536 (forall ((X tptp.int) (M tptp.nat) (I6 tptp.set_nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.power_power_int X) (@ (@ tptp.plus_plus_nat M) I5)))) I6) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int X) M)) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) I6)))))
% 13.98/14.28 (assume a7537 (forall ((X tptp.real) (M tptp.nat) (I6 tptp.set_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.power_power_real X) (@ (@ tptp.plus_plus_nat M) I5)))) I6) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) M)) (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) I6)))))
% 13.98/14.28 (assume a7538 (forall ((X tptp.real) (Y tptp.real) (R tptp.real)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.complex2 X) Y)) (@ tptp.real_V4546457046886955230omplex R)) (@ (@ tptp.complex2 (@ (@ tptp.plus_plus_real X) R)) Y))))
% 13.98/14.28 (assume a7539 (forall ((R tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.plus_plus_complex (@ tptp.real_V4546457046886955230omplex R)) (@ (@ tptp.complex2 X) Y)) (@ (@ tptp.complex2 (@ (@ tptp.plus_plus_real R) X)) Y))))
% 13.98/14.28 (assume a7540 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat M) N2)) I5)))) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)))))
% 13.98/14.28 (assume a7541 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat M) N2)) I5)))) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)))))
% 13.98/14.28 (assume a7542 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.arccos Y)) (@ tptp.arccos X)))))))
% 13.98/14.28 (assume a7543 (forall ((X tptp.real) (Y tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real)) (= (= (@ tptp.arccos X) (@ tptp.arccos Y)) (= X Y)))))
% 13.98/14.28 (assume a7544 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ (@ tptp.ord_less_eq_real (@ tptp.arccos X)) (@ tptp.arccos Y)) (@ (@ tptp.ord_less_eq_real Y) X))))))
% 13.98/14.28 (assume a7545 (forall ((I6 tptp.set_real) (I2 tptp.real) (F (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real I6) (=> (@ (@ tptp.member_real I2) I6) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I2)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups2800946370649118462d_enat F) I6))))))))
% 13.98/14.28 (assume a7546 (forall ((I6 tptp.set_int) (I2 tptp.int) (F (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int I6) (=> (@ (@ tptp.member_int I2) I6) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I2)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups4225252721152677374d_enat F) I6))))))))
% 13.98/14.28 (assume a7547 (forall ((I6 tptp.set_nat) (I2 tptp.nat) (F (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat I6) (=> (@ (@ tptp.member_nat I2) I6) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I2)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups7108830773950497114d_enat F) I6))))))))
% 13.98/14.28 (assume a7548 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I2)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups1752964319039525884d_enat F) I6))))))))
% 13.98/14.28 (assume a7549 (forall ((I6 tptp.set_real) (I2 tptp.real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real I6) (=> (@ (@ tptp.member_real I2) I6) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I2)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.groups8097168146408367636l_real F) I6))))))))
% 13.98/14.28 (assume a7550 (forall ((I6 tptp.set_int) (I2 tptp.int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int I6) (=> (@ (@ tptp.member_int I2) I6) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I2)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.groups8778361861064173332t_real F) I6))))))))
% 13.98/14.28 (assume a7551 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I2)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.groups5808333547571424918x_real F) I6))))))))
% 13.98/14.28 (assume a7552 (forall ((I6 tptp.set_real) (I2 tptp.real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real I6) (=> (@ (@ tptp.member_real I2) I6) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I2)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups1935376822645274424al_nat F) I6))))))))
% 13.98/14.28 (assume a7553 (forall ((I6 tptp.set_int) (I2 tptp.int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int I6) (=> (@ (@ tptp.member_int I2) I6) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I2)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups4541462559716669496nt_nat F) I6))))))))
% 13.98/14.28 (assume a7554 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I2)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups5693394587270226106ex_nat F) I6))))))))
% 13.98/14.28 (assume a7555 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin X)) (@ tptp.arcsin Y)))))))
% 13.98/14.28 (assume a7556 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (= (@ tptp.arcsin (@ tptp.uminus_uminus_real X)) (@ tptp.uminus_uminus_real (@ tptp.arcsin X)))))))
% 13.98/14.28 (assume a7557 (forall ((I6 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups1752964319039525884d_enat F) I6)))))))
% 13.98/14.28 (assume a7558 (forall ((I6 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat I6) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups7108830773950497114d_enat F) I6)))))))
% 13.98/14.28 (assume a7559 (forall ((I6 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int I6) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups4225252721152677374d_enat F) I6)))))))
% 13.98/14.28 (assume a7560 (forall ((I6 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real I6) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ F I4)))) (@ (@ tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (@ (@ tptp.groups2800946370649118462d_enat F) I6)))))))
% 13.98/14.28 (assume a7561 (forall ((I6 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.groups5808333547571424918x_real F) I6)))))))
% 13.98/14.28 (assume a7562 (forall ((I6 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int I6) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.groups8778361861064173332t_real F) I6)))))))
% 13.98/14.28 (assume a7563 (forall ((I6 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real I6) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.groups8097168146408367636l_real F) I6)))))))
% 13.98/14.28 (assume a7564 (forall ((I6 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I4)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups5693394587270226106ex_nat F) I6)))))))
% 13.98/14.28 (assume a7565 (forall ((I6 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int I6) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I4)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups4541462559716669496nt_nat F) I6)))))))
% 13.98/14.28 (assume a7566 (forall ((I6 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real I6) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I4)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups1935376822645274424al_nat F) I6)))))))
% 13.98/14.28 (assume a7567 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (= (@ tptp.arcsin X) (@ tptp.arcsin Y)) (= X Y))))))
% 13.98/14.28 (assume a7568 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin X)) (@ tptp.arcsin Y)) (@ (@ tptp.ord_less_eq_real X) Y))))))
% 13.98/14.28 (assume a7569 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real X)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1803761363581548252l_real (@ tptp.real_V7735802525324610683m_real X))) tptp.one_one_real)))))
% 13.98/14.28 (assume a7570 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex (@ tptp.real_V4546457046886955230omplex (@ tptp.real_V1022390504157884413omplex X))) tptp.one_one_complex)))))
% 13.98/14.28 (assume a7571 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups4225252721152677374d_enat G) T3) (@ (@ tptp.groups4225252721152677374d_enat H2) S))))))))
% 13.98/14.28 (assume a7572 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups1752964319039525884d_enat G) T3) (@ (@ tptp.groups1752964319039525884d_enat H2) S))))))))
% 13.98/14.28 (assume a7573 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.complex)) (H2 (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.zero_zero_complex))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups3049146728041665814omplex G) T3) (@ (@ tptp.groups3049146728041665814omplex H2) S))))))))
% 13.98/14.28 (assume a7574 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.real)) (H2 (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups8778361861064173332t_real G) T3) (@ (@ tptp.groups8778361861064173332t_real H2) S))))))))
% 13.98/14.28 (assume a7575 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.real)) (H2 (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5808333547571424918x_real G) T3) (@ (@ tptp.groups5808333547571424918x_real H2) S))))))))
% 13.98/14.28 (assume a7576 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.nat)) (H2 (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups4541462559716669496nt_nat G) T3) (@ (@ tptp.groups4541462559716669496nt_nat H2) S))))))))
% 13.98/14.28 (assume a7577 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.nat)) (H2 (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5693394587270226106ex_nat G) T3) (@ (@ tptp.groups5693394587270226106ex_nat H2) S))))))))
% 13.98/14.28 (assume a7578 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.int)) (H2 (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_int))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5690904116761175830ex_int G) T3) (@ (@ tptp.groups5690904116761175830ex_int H2) S))))))))
% 13.98/14.28 (assume a7579 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups2800946370649118462d_enat G) T3) (@ (@ tptp.groups2800946370649118462d_enat H2) S))))))))
% 13.98/14.28 (assume a7580 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.complex)) (H2 (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_complex))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5754745047067104278omplex G) T3) (@ (@ tptp.groups5754745047067104278omplex H2) S))))))))
% 13.98/14.28 (assume a7581 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.extended_enat)) (G (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups4225252721152677374d_enat G) S) (@ (@ tptp.groups4225252721152677374d_enat H2) T3))))))))
% 13.98/14.28 (assume a7582 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.extended_enat)) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups1752964319039525884d_enat G) S) (@ (@ tptp.groups1752964319039525884d_enat H2) T3))))))))
% 13.98/14.28 (assume a7583 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.complex)) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.zero_zero_complex))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups3049146728041665814omplex G) S) (@ (@ tptp.groups3049146728041665814omplex H2) T3))))))))
% 13.98/14.28 (assume a7584 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.real)) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups8778361861064173332t_real G) S) (@ (@ tptp.groups8778361861064173332t_real H2) T3))))))))
% 13.98/14.28 (assume a7585 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5808333547571424918x_real G) S) (@ (@ tptp.groups5808333547571424918x_real H2) T3))))))))
% 13.98/14.28 (assume a7586 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups4541462559716669496nt_nat G) S) (@ (@ tptp.groups4541462559716669496nt_nat H2) T3))))))))
% 13.98/14.28 (assume a7587 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5693394587270226106ex_nat G) S) (@ (@ tptp.groups5693394587270226106ex_nat H2) T3))))))))
% 13.98/14.28 (assume a7588 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.zero_zero_int))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5690904116761175830ex_int G) S) (@ (@ tptp.groups5690904116761175830ex_int H2) T3))))))))
% 13.98/14.28 (assume a7589 (forall ((T3 tptp.set_real) (S tptp.set_real) (H2 (-> tptp.real tptp.extended_enat)) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ H2 X5) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups2800946370649118462d_enat G) S) (@ (@ tptp.groups2800946370649118462d_enat H2) T3))))))))
% 13.98/14.28 (assume a7590 (forall ((T3 tptp.set_real) (S tptp.set_real) (H2 (-> tptp.real tptp.complex)) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ H2 X5) tptp.zero_zero_complex))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5754745047067104278omplex G) S) (@ (@ tptp.groups5754745047067104278omplex H2) T3))))))))
% 13.98/14.28 (assume a7591 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (= (@ (@ tptp.groups1752964319039525884d_enat G) T3) (@ (@ tptp.groups1752964319039525884d_enat G) S)))))))
% 13.98/14.28 (assume a7592 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_real))) (= (@ (@ tptp.groups5808333547571424918x_real G) T3) (@ (@ tptp.groups5808333547571424918x_real G) S)))))))
% 13.98/14.28 (assume a7593 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_nat))) (= (@ (@ tptp.groups5693394587270226106ex_nat G) T3) (@ (@ tptp.groups5693394587270226106ex_nat G) S)))))))
% 13.98/14.28 (assume a7594 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_int))) (= (@ (@ tptp.groups5690904116761175830ex_int G) T3) (@ (@ tptp.groups5690904116761175830ex_int G) S)))))))
% 13.98/14.28 (assume a7595 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (= (@ (@ tptp.groups2800946370649118462d_enat G) T3) (@ (@ tptp.groups2800946370649118462d_enat G) S)))))))
% 13.98/14.28 (assume a7596 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_complex))) (= (@ (@ tptp.groups5754745047067104278omplex G) T3) (@ (@ tptp.groups5754745047067104278omplex G) S)))))))
% 13.98/14.28 (assume a7597 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_real))) (= (@ (@ tptp.groups8097168146408367636l_real G) T3) (@ (@ tptp.groups8097168146408367636l_real G) S)))))))
% 13.98/14.28 (assume a7598 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_nat))) (= (@ (@ tptp.groups1935376822645274424al_nat G) T3) (@ (@ tptp.groups1935376822645274424al_nat G) S)))))))
% 13.98/14.28 (assume a7599 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_int))) (= (@ (@ tptp.groups1932886352136224148al_int G) T3) (@ (@ tptp.groups1932886352136224148al_int G) S)))))))
% 13.98/14.28 (assume a7600 (forall ((T3 tptp.set_nat) (S tptp.set_nat) (G (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat T3) (=> (@ (@ tptp.ord_less_eq_set_nat S) T3) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) (@ (@ tptp.minus_minus_set_nat T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (= (@ (@ tptp.groups7108830773950497114d_enat G) T3) (@ (@ tptp.groups7108830773950497114d_enat G) S)))))))
% 13.98/14.28 (assume a7601 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (= (@ (@ tptp.groups1752964319039525884d_enat G) S) (@ (@ tptp.groups1752964319039525884d_enat G) T3)))))))
% 13.98/14.28 (assume a7602 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_real))) (= (@ (@ tptp.groups5808333547571424918x_real G) S) (@ (@ tptp.groups5808333547571424918x_real G) T3)))))))
% 13.98/14.28 (assume a7603 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_nat))) (= (@ (@ tptp.groups5693394587270226106ex_nat G) S) (@ (@ tptp.groups5693394587270226106ex_nat G) T3)))))))
% 13.98/14.28 (assume a7604 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.zero_zero_int))) (= (@ (@ tptp.groups5690904116761175830ex_int G) S) (@ (@ tptp.groups5690904116761175830ex_int G) T3)))))))
% 13.98/14.28 (assume a7605 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (= (@ (@ tptp.groups2800946370649118462d_enat G) S) (@ (@ tptp.groups2800946370649118462d_enat G) T3)))))))
% 13.98/14.28 (assume a7606 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_complex))) (= (@ (@ tptp.groups5754745047067104278omplex G) S) (@ (@ tptp.groups5754745047067104278omplex G) T3)))))))
% 13.98/14.28 (assume a7607 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_real))) (= (@ (@ tptp.groups8097168146408367636l_real G) S) (@ (@ tptp.groups8097168146408367636l_real G) T3)))))))
% 13.98/14.28 (assume a7608 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_nat))) (= (@ (@ tptp.groups1935376822645274424al_nat G) S) (@ (@ tptp.groups1935376822645274424al_nat G) T3)))))))
% 13.98/14.28 (assume a7609 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.zero_zero_int))) (= (@ (@ tptp.groups1932886352136224148al_int G) S) (@ (@ tptp.groups1932886352136224148al_int G) T3)))))))
% 13.98/14.28 (assume a7610 (forall ((T3 tptp.set_nat) (S tptp.set_nat) (G (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat T3) (=> (@ (@ tptp.ord_less_eq_set_nat S) T3) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) (@ (@ tptp.minus_minus_set_nat T3) S)) (= (@ G X5) tptp.zero_z5237406670263579293d_enat))) (= (@ (@ tptp.groups7108830773950497114d_enat G) S) (@ (@ tptp.groups7108830773950497114d_enat G) T3)))))))
% 13.98/14.28 (assume a7611 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_z5237406670263579293d_enat))) (=> (= (@ (@ tptp.groups4225252721152677374d_enat G) C4) (@ (@ tptp.groups4225252721152677374d_enat H2) C4)) (= (@ (@ tptp.groups4225252721152677374d_enat G) A2) (@ (@ tptp.groups4225252721152677374d_enat H2) B2))))))))))
% 13.98/14.28 (assume a7612 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_z5237406670263579293d_enat))) (=> (= (@ (@ tptp.groups1752964319039525884d_enat G) C4) (@ (@ tptp.groups1752964319039525884d_enat H2) C4)) (= (@ (@ tptp.groups1752964319039525884d_enat G) A2) (@ (@ tptp.groups1752964319039525884d_enat H2) B2))))))))))
% 13.98/14.28 (assume a7613 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.complex)) (H2 (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_zero_complex))) (=> (= (@ (@ tptp.groups3049146728041665814omplex G) C4) (@ (@ tptp.groups3049146728041665814omplex H2) C4)) (= (@ (@ tptp.groups3049146728041665814omplex G) A2) (@ (@ tptp.groups3049146728041665814omplex H2) B2))))))))))
% 13.98/14.28 (assume a7614 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.real)) (H2 (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_zero_real))) (=> (= (@ (@ tptp.groups8778361861064173332t_real G) C4) (@ (@ tptp.groups8778361861064173332t_real H2) C4)) (= (@ (@ tptp.groups8778361861064173332t_real G) A2) (@ (@ tptp.groups8778361861064173332t_real H2) B2))))))))))
% 13.98/14.28 (assume a7615 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.real)) (H2 (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_zero_real))) (=> (= (@ (@ tptp.groups5808333547571424918x_real G) C4) (@ (@ tptp.groups5808333547571424918x_real H2) C4)) (= (@ (@ tptp.groups5808333547571424918x_real G) A2) (@ (@ tptp.groups5808333547571424918x_real H2) B2))))))))))
% 13.98/14.28 (assume a7616 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.nat)) (H2 (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_zero_nat))) (=> (= (@ (@ tptp.groups4541462559716669496nt_nat G) C4) (@ (@ tptp.groups4541462559716669496nt_nat H2) C4)) (= (@ (@ tptp.groups4541462559716669496nt_nat G) A2) (@ (@ tptp.groups4541462559716669496nt_nat H2) B2))))))))))
% 13.98/14.28 (assume a7617 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (H2 (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_zero_nat))) (=> (= (@ (@ tptp.groups5693394587270226106ex_nat G) C4) (@ (@ tptp.groups5693394587270226106ex_nat H2) C4)) (= (@ (@ tptp.groups5693394587270226106ex_nat G) A2) (@ (@ tptp.groups5693394587270226106ex_nat H2) B2))))))))))
% 13.98/14.28 (assume a7618 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.int)) (H2 (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_zero_int))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_zero_int))) (=> (= (@ (@ tptp.groups5690904116761175830ex_int G) C4) (@ (@ tptp.groups5690904116761175830ex_int H2) C4)) (= (@ (@ tptp.groups5690904116761175830ex_int G) A2) (@ (@ tptp.groups5690904116761175830ex_int H2) B2))))))))))
% 13.98/14.28 (assume a7619 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real C4) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real C4) A2)) (= (@ G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real C4) B2)) (= (@ H2 B3) tptp.zero_z5237406670263579293d_enat))) (=> (= (@ (@ tptp.groups2800946370649118462d_enat G) C4) (@ (@ tptp.groups2800946370649118462d_enat H2) C4)) (= (@ (@ tptp.groups2800946370649118462d_enat G) A2) (@ (@ tptp.groups2800946370649118462d_enat H2) B2))))))))))
% 13.98/14.28 (assume a7620 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G (-> tptp.real tptp.complex)) (H2 (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real C4) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real C4) A2)) (= (@ G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real C4) B2)) (= (@ H2 B3) tptp.zero_zero_complex))) (=> (= (@ (@ tptp.groups5754745047067104278omplex G) C4) (@ (@ tptp.groups5754745047067104278omplex H2) C4)) (= (@ (@ tptp.groups5754745047067104278omplex G) A2) (@ (@ tptp.groups5754745047067104278omplex H2) B2))))))))))
% 13.98/14.28 (assume a7621 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_z5237406670263579293d_enat))) (= (= (@ (@ tptp.groups4225252721152677374d_enat G) A2) (@ (@ tptp.groups4225252721152677374d_enat H2) B2)) (= (@ (@ tptp.groups4225252721152677374d_enat G) C4) (@ (@ tptp.groups4225252721152677374d_enat H2) C4))))))))))
% 13.98/14.28 (assume a7622 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_z5237406670263579293d_enat))) (= (= (@ (@ tptp.groups1752964319039525884d_enat G) A2) (@ (@ tptp.groups1752964319039525884d_enat H2) B2)) (= (@ (@ tptp.groups1752964319039525884d_enat G) C4) (@ (@ tptp.groups1752964319039525884d_enat H2) C4))))))))))
% 13.98/14.28 (assume a7623 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.complex)) (H2 (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_zero_complex))) (= (= (@ (@ tptp.groups3049146728041665814omplex G) A2) (@ (@ tptp.groups3049146728041665814omplex H2) B2)) (= (@ (@ tptp.groups3049146728041665814omplex G) C4) (@ (@ tptp.groups3049146728041665814omplex H2) C4))))))))))
% 13.98/14.28 (assume a7624 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.real)) (H2 (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_zero_real))) (= (= (@ (@ tptp.groups8778361861064173332t_real G) A2) (@ (@ tptp.groups8778361861064173332t_real H2) B2)) (= (@ (@ tptp.groups8778361861064173332t_real G) C4) (@ (@ tptp.groups8778361861064173332t_real H2) C4))))))))))
% 13.98/14.28 (assume a7625 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.real)) (H2 (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_zero_real))) (= (= (@ (@ tptp.groups5808333547571424918x_real G) A2) (@ (@ tptp.groups5808333547571424918x_real H2) B2)) (= (@ (@ tptp.groups5808333547571424918x_real G) C4) (@ (@ tptp.groups5808333547571424918x_real H2) C4))))))))))
% 13.98/14.28 (assume a7626 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.nat)) (H2 (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.zero_zero_nat))) (= (= (@ (@ tptp.groups4541462559716669496nt_nat G) A2) (@ (@ tptp.groups4541462559716669496nt_nat H2) B2)) (= (@ (@ tptp.groups4541462559716669496nt_nat G) C4) (@ (@ tptp.groups4541462559716669496nt_nat H2) C4))))))))))
% 13.98/14.28 (assume a7627 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (H2 (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_zero_nat))) (= (= (@ (@ tptp.groups5693394587270226106ex_nat G) A2) (@ (@ tptp.groups5693394587270226106ex_nat H2) B2)) (= (@ (@ tptp.groups5693394587270226106ex_nat G) C4) (@ (@ tptp.groups5693394587270226106ex_nat H2) C4))))))))))
% 13.98/14.29 (assume a7628 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.int)) (H2 (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.zero_zero_int))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.zero_zero_int))) (= (= (@ (@ tptp.groups5690904116761175830ex_int G) A2) (@ (@ tptp.groups5690904116761175830ex_int H2) B2)) (= (@ (@ tptp.groups5690904116761175830ex_int G) C4) (@ (@ tptp.groups5690904116761175830ex_int H2) C4))))))))))
% 13.98/14.29 (assume a7629 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real C4) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real C4) A2)) (= (@ G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real C4) B2)) (= (@ H2 B3) tptp.zero_z5237406670263579293d_enat))) (= (= (@ (@ tptp.groups2800946370649118462d_enat G) A2) (@ (@ tptp.groups2800946370649118462d_enat H2) B2)) (= (@ (@ tptp.groups2800946370649118462d_enat G) C4) (@ (@ tptp.groups2800946370649118462d_enat H2) C4))))))))))
% 13.98/14.29 (assume a7630 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G (-> tptp.real tptp.complex)) (H2 (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real C4) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real C4) A2)) (= (@ G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real C4) B2)) (= (@ H2 B3) tptp.zero_zero_complex))) (= (= (@ (@ tptp.groups5754745047067104278omplex G) A2) (@ (@ tptp.groups5754745047067104278omplex H2) B2)) (= (@ (@ tptp.groups5754745047067104278omplex G) C4) (@ (@ tptp.groups5754745047067104278omplex H2) C4))))))))))
% 13.98/14.29 (assume a7631 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups5808333547571424918x_real G) A2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups5808333547571424918x_real G) B2)))))))
% 13.98/14.29 (assume a7632 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups5693394587270226106ex_nat G) A2) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups5693394587270226106ex_nat G) B2)))))))
% 13.98/14.29 (assume a7633 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups5690904116761175830ex_int G) A2) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups5690904116761175830ex_int G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups5690904116761175830ex_int G) B2)))))))
% 13.98/14.29 (assume a7634 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups5754745047067104278omplex G) A2) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups5754745047067104278omplex G) B2)))))))
% 13.98/14.29 (assume a7635 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups8097168146408367636l_real G) A2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups8097168146408367636l_real G) B2)))))))
% 13.98/14.29 (assume a7636 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1935376822645274424al_nat G) A2) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups1935376822645274424al_nat G) B2)))))))
% 13.98/14.29 (assume a7637 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1932886352136224148al_int G) A2) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups1932886352136224148al_int G) B2)))))))
% 13.98/14.29 (assume a7638 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups2073611262835488442omplex G) A2) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.minus_minus_set_nat A2) B2))) (@ (@ tptp.groups2073611262835488442omplex G) B2)))))))
% 13.98/14.29 (assume a7639 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups3539618377306564664at_int G) A2) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.minus_minus_set_nat A2) B2))) (@ (@ tptp.groups3539618377306564664at_int G) B2)))))))
% 13.98/14.29 (assume a7640 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups3542108847815614940at_nat G) A2) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.minus_minus_set_nat A2) B2))) (@ (@ tptp.groups3542108847815614940at_nat G) B2)))))))
% 13.98/14.29 (assume a7641 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (= (@ (@ tptp.groups5808333547571424918x_real F) (@ (@ tptp.minus_811609699411566653omplex A2) B2)) (@ (@ tptp.minus_minus_real (@ (@ tptp.groups5808333547571424918x_real F) A2)) (@ (@ tptp.groups5808333547571424918x_real F) B2)))))))
% 13.98/14.29 (assume a7642 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (= (@ (@ tptp.groups5690904116761175830ex_int F) (@ (@ tptp.minus_811609699411566653omplex A2) B2)) (@ (@ tptp.minus_minus_int (@ (@ tptp.groups5690904116761175830ex_int F) A2)) (@ (@ tptp.groups5690904116761175830ex_int F) B2)))))))
% 13.98/14.29 (assume a7643 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (F (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (= (@ (@ tptp.groups5754745047067104278omplex F) (@ (@ tptp.minus_minus_set_real A2) B2)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups5754745047067104278omplex F) A2)) (@ (@ tptp.groups5754745047067104278omplex F) B2)))))))
% 13.98/14.29 (assume a7644 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (= (@ (@ tptp.groups8097168146408367636l_real F) (@ (@ tptp.minus_minus_set_real A2) B2)) (@ (@ tptp.minus_minus_real (@ (@ tptp.groups8097168146408367636l_real F) A2)) (@ (@ tptp.groups8097168146408367636l_real F) B2)))))))
% 13.98/14.29 (assume a7645 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (F (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (= (@ (@ tptp.groups1932886352136224148al_int F) (@ (@ tptp.minus_minus_set_real A2) B2)) (@ (@ tptp.minus_minus_int (@ (@ tptp.groups1932886352136224148al_int F) A2)) (@ (@ tptp.groups1932886352136224148al_int F) B2)))))))
% 13.98/14.29 (assume a7646 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (= (@ (@ tptp.groups2073611262835488442omplex F) (@ (@ tptp.minus_minus_set_nat A2) B2)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups2073611262835488442omplex F) A2)) (@ (@ tptp.groups2073611262835488442omplex F) B2)))))))
% 13.98/14.29 (assume a7647 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (= (@ (@ tptp.groups3539618377306564664at_int F) (@ (@ tptp.minus_minus_set_nat A2) B2)) (@ (@ tptp.minus_minus_int (@ (@ tptp.groups3539618377306564664at_int F) A2)) (@ (@ tptp.groups3539618377306564664at_int F) B2)))))))
% 13.98/14.29 (assume a7648 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (= (@ (@ tptp.groups7754918857620584856omplex F) (@ (@ tptp.minus_811609699411566653omplex A2) B2)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups7754918857620584856omplex F) A2)) (@ (@ tptp.groups7754918857620584856omplex F) B2)))))))
% 13.98/14.29 (assume a7649 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (= (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.minus_minus_set_nat A2) B2)) (@ (@ tptp.minus_minus_real (@ (@ tptp.groups6591440286371151544t_real F) A2)) (@ (@ tptp.groups6591440286371151544t_real F) B2)))))))
% 13.98/14.29 (assume a7650 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.ord_less_eq_set_int B2) A2) (= (@ (@ tptp.groups4538972089207619220nt_int F) (@ (@ tptp.minus_minus_set_int A2) B2)) (@ (@ tptp.minus_minus_int (@ (@ tptp.groups4538972089207619220nt_int F) A2)) (@ (@ tptp.groups4538972089207619220nt_int F) B2)))))))
% 13.98/14.29 (assume a7651 (forall ((F (-> tptp.nat tptp.extended_enat)) (K tptp.nat)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat) (= (@ (@ tptp.groups7108830773950497114d_enat F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) K)) (@ (@ tptp.groups7108830773950497114d_enat F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 13.98/14.29 (assume a7652 (forall ((F (-> tptp.nat tptp.complex)) (K tptp.nat)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_zero_complex) (= (@ (@ tptp.groups2073611262835488442omplex F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) K)) (@ (@ tptp.groups2073611262835488442omplex F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 13.98/14.29 (assume a7653 (forall ((F (-> tptp.nat tptp.int)) (K tptp.nat)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_zero_int) (= (@ (@ tptp.groups3539618377306564664at_int F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) K)) (@ (@ tptp.groups3539618377306564664at_int F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 13.98/14.29 (assume a7654 (forall ((F (-> tptp.nat tptp.nat)) (K tptp.nat)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_zero_nat) (= (@ (@ tptp.groups3542108847815614940at_nat F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) K)) (@ (@ tptp.groups3542108847815614940at_nat F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 13.98/14.29 (assume a7655 (forall ((F (-> tptp.nat tptp.real)) (K tptp.nat)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_zero_real) (= (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) K)) (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 13.98/14.29 (assume a7656 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 13.98/14.29 (assume a7657 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 13.98/14.29 (assume a7658 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 13.98/14.29 (assume a7659 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 13.98/14.29 (assume a7660 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ G (@ tptp.suc N2))) (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7661 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ G (@ tptp.suc N2))) (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7662 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ G (@ tptp.suc N2))) (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7663 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ G (@ tptp.suc N2))) (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7664 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.plus_plus_complex (@ G M)) (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 13.98/14.29 (assume a7665 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.plus_plus_int (@ G M)) (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 13.98/14.29 (assume a7666 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.plus_plus_nat (@ G M)) (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 13.98/14.29 (assume a7667 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.plus_plus_real (@ G M)) (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 13.98/14.29 (assume a7668 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ G M)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7669 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ G M)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7670 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ G M)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7671 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ G M)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 13.98/14.29 (assume a7672 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F (@ tptp.suc I5))) (@ F I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.minus_minus_complex (@ F (@ tptp.suc N2))) (@ F M))))))
% 13.98/14.29 (assume a7673 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_int (@ F (@ tptp.suc I5))) (@ F I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.minus_minus_int (@ F (@ tptp.suc N2))) (@ F M))))))
% 13.98/14.29 (assume a7674 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_real (@ F (@ tptp.suc I5))) (@ F I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.minus_minus_real (@ F (@ tptp.suc N2))) (@ F M))))))
% 13.98/14.29 (assume a7675 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int B2) A2)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F B3)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups4225252721152677374d_enat F) A2)) (@ (@ tptp.groups4225252721152677374d_enat F) B2)))))))
% 13.98/14.29 (assume a7676 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F B3)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups1752964319039525884d_enat F) A2)) (@ (@ tptp.groups1752964319039525884d_enat F) B2)))))))
% 13.98/14.29 (assume a7677 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F B3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups8778361861064173332t_real F) A2)) (@ (@ tptp.groups8778361861064173332t_real F) B2)))))))
% 13.98/14.29 (assume a7678 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F B3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups5808333547571424918x_real F) A2)) (@ (@ tptp.groups5808333547571424918x_real F) B2)))))))
% 13.98/14.29 (assume a7679 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int B2) A2)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F B3)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups4541462559716669496nt_nat F) A2)) (@ (@ tptp.groups4541462559716669496nt_nat F) B2)))))))
% 13.98/14.29 (assume a7680 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F B3)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) (@ (@ tptp.groups5693394587270226106ex_nat F) B2)))))))
% 13.98/14.29 (assume a7681 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F B3)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups5690904116761175830ex_int F) A2)) (@ (@ tptp.groups5690904116761175830ex_int F) B2)))))))
% 13.98/14.29 (assume a7682 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real B2) A2)) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F B3)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups2800946370649118462d_enat F) A2)) (@ (@ tptp.groups2800946370649118462d_enat F) B2)))))))
% 13.98/14.29 (assume a7683 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F B3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups8097168146408367636l_real F) A2)) (@ (@ tptp.groups8097168146408367636l_real F) B2)))))))
% 13.98/14.29 (assume a7684 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real B2) A2)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F B3)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups1935376822645274424al_nat F) A2)) (@ (@ tptp.groups1935376822645274424al_nat F) B2)))))))
% 13.98/14.29 (assume a7685 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.arccos Y))))))
% 13.98/14.29 (assume a7686 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ tptp.arccos Y)) (@ tptp.arccos X)))))))
% 13.98/14.29 (assume a7687 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups5808333547571424918x_real G) A2) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex)))))))))
% 13.98/14.29 (assume a7688 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups5693394587270226106ex_nat G) A2) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex)))))))))
% 13.98/14.29 (assume a7689 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups5690904116761175830ex_int G) A2) (@ (@ tptp.plus_plus_int (@ G X)) (@ (@ tptp.groups5690904116761175830ex_int G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex)))))))))
% 13.98/14.29 (assume a7690 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups3049146728041665814omplex G) A2) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups3049146728041665814omplex G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))))))
% 13.98/14.29 (assume a7691 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups8778361861064173332t_real G) A2) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8778361861064173332t_real G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))))))
% 13.98/14.29 (assume a7692 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups4541462559716669496nt_nat G) A2) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups4541462559716669496nt_nat G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))))))
% 13.98/14.29 (assume a7693 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups5754745047067104278omplex G) A2) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7694 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups8097168146408367636l_real G) A2) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7695 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups1935376822645274424al_nat G) A2) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7696 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups1932886352136224148al_int G) A2) (@ (@ tptp.plus_plus_int (@ G X)) (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7697 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.real)) (X tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups5808333547571424918x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))))))))
% 13.98/14.29 (assume a7698 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (X tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups5693394587270226106ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))))))))
% 13.98/14.29 (assume a7699 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.int)) (X tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups5690904116761175830ex_int G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.plus_plus_int (@ G X)) (@ (@ tptp.groups5690904116761175830ex_int G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))))))))
% 13.98/14.29 (assume a7700 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.complex)) (X tptp.int)) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups3049146728041665814omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups3049146728041665814omplex G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))))
% 13.98/14.29 (assume a7701 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.real)) (X tptp.int)) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups8778361861064173332t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8778361861064173332t_real G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))))
% 13.98/14.29 (assume a7702 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.nat)) (X tptp.int)) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups4541462559716669496nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups4541462559716669496nt_nat G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))))
% 13.98/14.29 (assume a7703 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.complex)) (X tptp.real)) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_complex (@ G X)) (@ (@ tptp.groups5754745047067104278omplex G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))))
% 13.98/14.29 (assume a7704 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.real)) (X tptp.real)) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_real (@ G X)) (@ (@ tptp.groups8097168146408367636l_real G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))))
% 13.98/14.29 (assume a7705 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.nat)) (X tptp.real)) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_nat (@ G X)) (@ (@ tptp.groups1935376822645274424al_nat G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))))
% 13.98/14.29 (assume a7706 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.int)) (X tptp.real)) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.plus_plus_int (@ G X)) (@ (@ tptp.groups1932886352136224148al_int G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))))
% 13.98/14.29 (assume a7707 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ (@ tptp.ord_less_real (@ tptp.arccos X)) (@ tptp.arccos Y)) (@ (@ tptp.ord_less_real Y) X))))))
% 13.98/14.29 (assume a7708 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.arccos Y)) tptp.pi)))))
% 13.98/14.29 (assume a7709 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (= (@ tptp.arccos (@ tptp.cos_real X)) X)))))
% 13.98/14.29 (assume a7710 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ tptp.arcsin X)) (@ tptp.arcsin Y)))))))
% 13.98/14.29 (assume a7711 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ (@ tptp.ord_less_real (@ tptp.arcsin X)) (@ tptp.arcsin Y)) (@ (@ tptp.ord_less_real X) Y))))))
% 13.98/14.29 (assume a7712 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Y)) tptp.one_one_real) (= (@ tptp.cos_real (@ tptp.arccos Y)) Y))))
% 13.98/14.29 (assume a7713 (forall ((B tptp.real) (A tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1803761363581548252l_real B)) (@ tptp.real_V1803761363581548252l_real A)))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real B) A)))))
% 13.98/14.29 (assume a7714 (forall ((B tptp.real) (A tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ tptp.real_V4546457046886955230omplex B)) (@ tptp.real_V4546457046886955230omplex A)))) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real B) A)))))
% 13.98/14.29 (assume a7715 (forall ((Theta tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real Theta)) tptp.pi) (= (@ tptp.arccos (@ tptp.cos_real Theta)) (@ tptp.abs_abs_real Theta)))))
% 13.98/14.29 (assume a7716 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 13.98/14.29 (assume a7717 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 13.98/14.29 (assume a7718 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 13.98/14.29 (assume a7719 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 13.98/14.29 (assume a7720 (forall ((F (-> tptp.nat tptp.int)) (I6 tptp.set_nat)) (=> (@ tptp.summable_int F) (=> (@ tptp.finite_finite_nat I6) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.member_nat N4) (@ tptp.uminus5710092332889474511et_nat I6)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F N4)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) I6)) (@ tptp.suminf_int F)))))))
% 13.98/14.29 (assume a7721 (forall ((F (-> tptp.nat tptp.nat)) (I6 tptp.set_nat)) (=> (@ tptp.summable_nat F) (=> (@ tptp.finite_finite_nat I6) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.member_nat N4) (@ tptp.uminus5710092332889474511et_nat I6)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F N4)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat F) I6)) (@ tptp.suminf_nat F)))))))
% 13.98/14.29 (assume a7722 (forall ((F (-> tptp.nat tptp.real)) (I6 tptp.set_nat)) (=> (@ tptp.summable_real F) (=> (@ tptp.finite_finite_nat I6) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.member_nat N4) (@ tptp.uminus5710092332889474511et_nat I6)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F N4)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real F) I6)) (@ tptp.suminf_real F)))))))
% 13.98/14.29 (assume a7723 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.real)) (C (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups5808333547571424918x_real (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_real (@ B A)) (@ (@ tptp.groups5808333547571424918x_real C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups5808333547571424918x_real (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups5808333547571424918x_real C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))))))
% 13.98/14.29 (assume a7724 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.nat)) (C (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups5693394587270226106ex_nat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_nat (@ B A)) (@ (@ tptp.groups5693394587270226106ex_nat C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups5693394587270226106ex_nat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups5693394587270226106ex_nat C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))))))
% 13.98/14.29 (assume a7725 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.int)) (C (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups5690904116761175830ex_int (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_int (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_int (@ B A)) (@ (@ tptp.groups5690904116761175830ex_int C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups5690904116761175830ex_int (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_int (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups5690904116761175830ex_int C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))))))
% 13.98/14.29 (assume a7726 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.complex)) (C (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups3049146728041665814omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_complex (@ B A)) (@ (@ tptp.groups3049146728041665814omplex C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups3049146728041665814omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups3049146728041665814omplex C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))))))
% 13.98/14.29 (assume a7727 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.real)) (C (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups8778361861064173332t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_real (@ B A)) (@ (@ tptp.groups8778361861064173332t_real C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups8778361861064173332t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups8778361861064173332t_real C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))))))
% 13.98/14.29 (assume a7728 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.nat)) (C (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups4541462559716669496nt_nat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_nat (@ B A)) (@ (@ tptp.groups4541462559716669496nt_nat C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups4541462559716669496nt_nat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups4541462559716669496nt_nat C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))))))
% 13.98/14.29 (assume a7729 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.complex)) (C (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups5754745047067104278omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_complex (@ B A)) (@ (@ tptp.groups5754745047067104278omplex C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups5754745047067104278omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups5754745047067104278omplex C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7730 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.real)) (C (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups8097168146408367636l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_real (@ B A)) (@ (@ tptp.groups8097168146408367636l_real C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups8097168146408367636l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups8097168146408367636l_real C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7731 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.nat)) (C (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups1935376822645274424al_nat (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_nat (@ B A)) (@ (@ tptp.groups1935376822645274424al_nat C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups1935376822645274424al_nat (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups1935376822645274424al_nat C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7732 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.int)) (C (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups1932886352136224148al_int (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_int (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.plus_plus_int (@ B A)) (@ (@ tptp.groups1932886352136224148al_int C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups1932886352136224148al_int (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_int (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups1932886352136224148al_int C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))))))
% 13.98/14.29 (assume a7733 (= tptp.nat_set_encode (@ tptp.groups3542108847815614940at_nat (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7734 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (B tptp.int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (@ (@ tptp.member_int B) (@ (@ tptp.minus_minus_set_int B2) A2)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F B)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) B2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups8778361861064173332t_real F) A2)) (@ (@ tptp.groups8778361861064173332t_real F) B2)))))))))
% 13.98/14.29 (assume a7735 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (@ (@ tptp.member_complex B) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F B)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) B2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups5808333547571424918x_real F) A2)) (@ (@ tptp.groups5808333547571424918x_real F) B2)))))))))
% 13.98/14.29 (assume a7736 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (B tptp.int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (@ (@ tptp.member_int B) (@ (@ tptp.minus_minus_set_int B2) A2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F B)) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) B2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups4541462559716669496nt_nat F) A2)) (@ (@ tptp.groups4541462559716669496nt_nat F) B2)))))))))
% 13.98/14.29 (assume a7737 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (@ (@ tptp.member_complex B) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F B)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) B2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) (@ (@ tptp.groups5693394587270226106ex_nat F) B2)))))))))
% 13.98/14.29 (assume a7738 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (@ (@ tptp.member_complex B) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F B)) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) B2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups5690904116761175830ex_int F) A2)) (@ (@ tptp.groups5690904116761175830ex_int F) B2)))))))))
% 13.98/14.29 (assume a7739 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.member_real B) (@ (@ tptp.minus_minus_set_real B2) A2)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F B)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) B2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups8097168146408367636l_real F) A2)) (@ (@ tptp.groups8097168146408367636l_real F) B2)))))))))
% 13.98/14.29 (assume a7740 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.member_real B) (@ (@ tptp.minus_minus_set_real B2) A2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F B)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) B2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups1935376822645274424al_nat F) A2)) (@ (@ tptp.groups1935376822645274424al_nat F) B2)))))))))
% 13.98/14.29 (assume a7741 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.real) (F (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (@ (@ tptp.member_real B) (@ (@ tptp.minus_minus_set_real B2) A2)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F B)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) B2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups1932886352136224148al_int F) A2)) (@ (@ tptp.groups1932886352136224148al_int F) B2)))))))))
% 13.98/14.29 (assume a7742 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (B tptp.nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.minus_minus_set_nat B2) A2)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F B)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) B2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups3539618377306564664at_int F) A2)) (@ (@ tptp.groups3539618377306564664at_int F) B2)))))))))
% 13.98/14.29 (assume a7743 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (B tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.minus_minus_set_nat B2) A2)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F B)) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) B2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups3542108847815614940at_nat F) B2)))))))))
% 13.98/14.29 (assume a7744 (forall ((I2 tptp.complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (@ (@ tptp.member_complex I2) A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex I2) tptp.bot_bot_set_complex))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (=> (@ tptp.finite3207457112153483333omplex A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) (@ (@ tptp.groups1752964319039525884d_enat F) A2)))))))
% 13.98/14.29 (assume a7745 (forall ((I2 tptp.complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ (@ tptp.member_complex I2) A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex I2) tptp.bot_bot_set_complex))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (=> (@ tptp.finite3207457112153483333omplex A2) (@ (@ tptp.ord_less_eq_real (@ F I2)) (@ (@ tptp.groups5808333547571424918x_real F) A2)))))))
% 13.98/14.29 (assume a7746 (forall ((I2 tptp.int) (A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (@ (@ tptp.member_int I2) A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int I2) tptp.bot_bot_set_int))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (=> (@ tptp.finite_finite_int A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) (@ (@ tptp.groups4225252721152677374d_enat F) A2)))))))
% 13.98/14.29 (assume a7747 (forall ((I2 tptp.int) (A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ (@ tptp.member_int I2) A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int I2) tptp.bot_bot_set_int))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (=> (@ tptp.finite_finite_int A2) (@ (@ tptp.ord_less_eq_real (@ F I2)) (@ (@ tptp.groups8778361861064173332t_real F) A2)))))))
% 13.98/14.29 (assume a7748 (forall ((I2 tptp.real) (A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (@ (@ tptp.member_real I2) A2) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real I2) tptp.bot_bot_set_real))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (=> (@ tptp.finite_finite_real A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) (@ (@ tptp.groups2800946370649118462d_enat F) A2)))))))
% 13.98/14.29 (assume a7749 (forall ((I2 tptp.real) (A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.member_real I2) A2) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real I2) tptp.bot_bot_set_real))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (=> (@ tptp.finite_finite_real A2) (@ (@ tptp.ord_less_eq_real (@ F I2)) (@ (@ tptp.groups8097168146408367636l_real F) A2)))))))
% 13.98/14.29 (assume a7750 (forall ((I2 tptp.nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (@ (@ tptp.member_nat I2) A2) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat I2) tptp.bot_bot_set_nat))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)))) (=> (@ tptp.finite_finite_nat A2) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F I2)) (@ (@ tptp.groups7108830773950497114d_enat F) A2)))))))
% 13.98/14.29 (assume a7751 (forall ((I2 tptp.complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ (@ tptp.member_complex I2) A2) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex I2) tptp.bot_bot_set_complex))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (=> (@ tptp.finite3207457112153483333omplex A2) (@ (@ tptp.ord_less_eq_nat (@ F I2)) (@ (@ tptp.groups5693394587270226106ex_nat F) A2)))))))
% 13.98/14.29 (assume a7752 (forall ((I2 tptp.int) (A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member_int I2) A2) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int I2) tptp.bot_bot_set_int))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (=> (@ tptp.finite_finite_int A2) (@ (@ tptp.ord_less_eq_nat (@ F I2)) (@ (@ tptp.groups4541462559716669496nt_nat F) A2)))))))
% 13.98/14.29 (assume a7753 (forall ((I2 tptp.real) (A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (@ (@ tptp.member_real I2) A2) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real I2) tptp.bot_bot_set_real))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (=> (@ tptp.finite_finite_real A2) (@ (@ tptp.ord_less_eq_nat (@ F I2)) (@ (@ tptp.groups1935376822645274424al_nat F) A2)))))))
% 13.98/14.29 (assume a7754 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.real)) (A (-> tptp.real tptp.real)) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ X I4)))) (=> (= (@ (@ tptp.groups8097168146408367636l_real X) I6) tptp.one_one_real) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups8097168146408367636l_real (lambda ((I5 tptp.real)) (@ (@ tptp.times_times_real (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7755 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.real)) (A (-> tptp.int tptp.real)) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ X I4)))) (=> (= (@ (@ tptp.groups8778361861064173332t_real X) I6) tptp.one_one_real) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups8778361861064173332t_real (lambda ((I5 tptp.int)) (@ (@ tptp.times_times_real (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7756 (forall ((I6 tptp.set_complex) (X (-> tptp.complex tptp.real)) (A (-> tptp.complex tptp.real)) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ X I4)))) (=> (= (@ (@ tptp.groups5808333547571424918x_real X) I6) tptp.one_one_real) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups5808333547571424918x_real (lambda ((I5 tptp.complex)) (@ (@ tptp.times_times_real (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7757 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (X (-> tptp.product_prod_nat_nat tptp.real)) (A (-> tptp.product_prod_nat_nat tptp.real)) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ X I4)))) (=> (= (@ (@ tptp.groups4567486121110086003t_real X) I6) tptp.one_one_real) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups4567486121110086003t_real (lambda ((I5 tptp.product_prod_nat_nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7758 (forall ((I6 tptp.set_nat) (X (-> tptp.nat tptp.int)) (A (-> tptp.nat tptp.int)) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ X I4)))) (=> (= (@ (@ tptp.groups3539618377306564664at_int X) I6) tptp.one_one_int) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7759 (forall ((I6 tptp.set_real) (X (-> tptp.real tptp.int)) (A (-> tptp.real tptp.int)) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ X I4)))) (=> (= (@ (@ tptp.groups1932886352136224148al_int X) I6) tptp.one_one_int) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.groups1932886352136224148al_int (lambda ((I5 tptp.real)) (@ (@ tptp.times_times_int (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7760 (forall ((I6 tptp.set_complex) (X (-> tptp.complex tptp.int)) (A (-> tptp.complex tptp.int)) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ X I4)))) (=> (= (@ (@ tptp.groups5690904116761175830ex_int X) I6) tptp.one_one_int) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.groups5690904116761175830ex_int (lambda ((I5 tptp.complex)) (@ (@ tptp.times_times_int (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7761 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (X (-> tptp.product_prod_nat_nat tptp.int)) (A (-> tptp.product_prod_nat_nat tptp.int)) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ X I4)))) (=> (= (@ (@ tptp.groups975429370522433651at_int X) I6) tptp.one_one_int) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.groups975429370522433651at_int (lambda ((I5 tptp.product_prod_nat_nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7762 (forall ((I6 tptp.set_nat) (X (-> tptp.nat tptp.real)) (A (-> tptp.nat tptp.real)) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ X I4)))) (=> (= (@ (@ tptp.groups6591440286371151544t_real X) I6) tptp.one_one_real) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7763 (forall ((I6 tptp.set_int) (X (-> tptp.int tptp.int)) (A (-> tptp.int tptp.int)) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ X I4)))) (=> (= (@ (@ tptp.groups4538972089207619220nt_int X) I6) tptp.one_one_int) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ A I4)) B))) Delta))) (@ (@ tptp.ord_less_eq_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.groups4538972089207619220nt_int (lambda ((I5 tptp.int)) (@ (@ tptp.times_times_int (@ A I5)) (@ X I5)))) I6)) B))) Delta))))))
% 13.98/14.29 (assume a7764 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.arccos Y)) (@ (@ tptp.ord_less_real (@ tptp.arccos Y)) tptp.pi))))))
% 13.98/14.29 (assume a7765 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.arccos Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.arccos Y)) tptp.pi))))))
% 13.98/14.29 (assume a7766 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (not (= (@ tptp.sin_real (@ tptp.arccos X)) tptp.zero_zero_real))))))
% 13.98/14.29 (assume a7767 (forall ((M tptp.int) (X tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real M)) (@ tptp.real_V1803761363581548252l_real X))) (@ tptp.real_V1803761363581548252l_real (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real M)) X))))))
% 13.98/14.29 (assume a7768 (forall ((M tptp.int) (X tptp.real)) (= (@ tptp.cos_complex (@ (@ tptp.times_times_complex (@ tptp.ring_17405671764205052669omplex M)) (@ tptp.real_V4546457046886955230omplex X))) (@ tptp.real_V4546457046886955230omplex (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real M)) X))))))
% 13.98/14.29 (assume a7769 (forall ((M tptp.int) (X tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real M)) (@ tptp.real_V1803761363581548252l_real X))) (@ tptp.real_V1803761363581548252l_real (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real M)) X))))))
% 13.98/14.29 (assume a7770 (forall ((M tptp.int) (X tptp.real)) (= (@ tptp.sin_complex (@ (@ tptp.times_times_complex (@ tptp.ring_17405671764205052669omplex M)) (@ tptp.real_V4546457046886955230omplex X))) (@ tptp.real_V4546457046886955230omplex (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real M)) X))))))
% 13.98/14.29 (assume a7771 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.pi)) X) (= (@ tptp.arccos (@ tptp.cos_real X)) (@ tptp.uminus_uminus_real X))))))
% 13.98/14.29 (assume a7772 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (= (@ tptp.arccos (@ tptp.uminus_uminus_real X)) (@ (@ tptp.minus_minus_real tptp.pi) (@ tptp.arccos X)))))))
% 13.98/14.29 (assume a7773 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (not (= (@ tptp.cos_real (@ tptp.arcsin X)) tptp.zero_zero_real))))))
% 13.98/14.29 (assume a7774 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.complex))) (and (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F K3)) (@ F (@ (@ tptp.plus_plus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.minus_minus_complex (@ F M)) (@ F (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat))))) (=> (not (@ (@ tptp.ord_less_eq_nat M) N2)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F K3)) (@ F (@ (@ tptp.plus_plus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) tptp.zero_zero_complex)))))
% 13.98/14.29 (assume a7775 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.int))) (and (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_int (@ F K3)) (@ F (@ (@ tptp.plus_plus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.minus_minus_int (@ F M)) (@ F (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat))))) (=> (not (@ (@ tptp.ord_less_eq_nat M) N2)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_int (@ F K3)) (@ F (@ (@ tptp.plus_plus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) tptp.zero_zero_int)))))
% 13.98/14.29 (assume a7776 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.real))) (and (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_real (@ F K3)) (@ F (@ (@ tptp.plus_plus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.minus_minus_real (@ F M)) (@ F (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat))))) (=> (not (@ (@ tptp.ord_less_eq_nat M) N2)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_real (@ F K3)) (@ F (@ (@ tptp.plus_plus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) tptp.zero_zero_real)))))
% 13.98/14.29 (assume a7777 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F K3)) (@ F (@ (@ tptp.minus_minus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)) (@ (@ tptp.minus_minus_complex (@ F N2)) (@ F M))))))
% 13.98/14.29 (assume a7778 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_int (@ F K3)) (@ F (@ (@ tptp.minus_minus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)) (@ (@ tptp.minus_minus_int (@ F N2)) (@ F M))))))
% 13.98/14.29 (assume a7779 (forall ((M tptp.nat) (N2 tptp.nat) (F (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.minus_minus_real (@ F K3)) (@ F (@ (@ tptp.minus_minus_nat K3) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)) (@ (@ tptp.minus_minus_real (@ F N2)) (@ F M))))))
% 13.98/14.29 (assume a7780 (forall ((F (-> tptp.nat tptp.complex)) (E tptp.real)) (=> (@ tptp.summable_complex F) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (not (forall ((N8 tptp.nat)) (not (forall ((M2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N8) M2) (forall ((N9 tptp.nat)) (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups2073611262835488442omplex F) (@ (@ tptp.set_or1269000886237332187st_nat M2) N9)))) E)))))))))))
% 13.98/14.29 (assume a7781 (forall ((F (-> tptp.nat tptp.real)) (E tptp.real)) (=> (@ tptp.summable_real F) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (not (forall ((N8 tptp.nat)) (not (forall ((M2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N8) M2) (forall ((N9 tptp.nat)) (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.set_or1269000886237332187st_nat M2) N9)))) E)))))))))))
% 13.98/14.29 (assume a7782 (forall ((N2 tptp.nat)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_int) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ tptp.collect_nat (lambda ((Q4 tptp.nat)) (@ (@ tptp.ord_less_nat Q4) N2)))))))
% 13.98/14.29 (assume a7783 (forall ((N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat) (@ (@ tptp.groups3542108847815614940at_nat (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ tptp.collect_nat (lambda ((Q4 tptp.nat)) (@ (@ tptp.ord_less_nat Q4) N2)))))))
% 13.98/14.29 (assume a7784 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)) (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex X) M)) (@ (@ tptp.power_power_complex X) (@ tptp.suc N2)))))))
% 13.98/14.29 (assume a7785 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int tptp.one_one_int) X)) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int X) M)) (@ (@ tptp.power_power_int X) (@ tptp.suc N2)))))))
% 13.98/14.29 (assume a7786 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real tptp.one_one_real) X)) (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) M)) (@ (@ tptp.power_power_real X) (@ tptp.suc N2)))))))
% 13.98/14.29 (assume a7787 (forall ((G (-> tptp.nat tptp.complex)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_complex (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.29 (assume a7788 (forall ((G (-> tptp.nat tptp.int)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.29 (assume a7789 (forall ((G (-> tptp.nat tptp.nat)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.29 (assume a7790 (forall ((G (-> tptp.nat tptp.real)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_real (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 13.98/14.29 (assume a7791 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.arccos Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.arccos Y)) tptp.pi) (= (@ tptp.cos_real (@ tptp.arccos Y)) Y))))))
% 13.98/14.29 (assume a7792 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (= (@ tptp.arccos (@ tptp.uminus_uminus_real X)) (@ (@ tptp.minus_minus_real tptp.pi) (@ tptp.arccos X))))))
% 13.98/14.29 (assume a7793 (= tptp.cos_real (lambda ((X2 tptp.real)) (@ tptp.sin_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X2)))))
% 13.98/14.29 (assume a7794 (= tptp.cos_complex (lambda ((X2 tptp.complex)) (@ tptp.sin_complex (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) X2)))))
% 13.98/14.29 (assume a7795 (= tptp.sin_real (lambda ((X2 tptp.real)) (@ tptp.cos_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X2)))))
% 13.98/14.29 (assume a7796 (= tptp.sin_complex (lambda ((X2 tptp.complex)) (@ tptp.cos_complex (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) X2)))))
% 13.98/14.29 (assume a7797 (forall ((N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.groups3542108847815614940at_nat (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ tptp.collect_nat (lambda ((Q4 tptp.nat)) (@ (@ tptp.ord_less_nat Q4) N2)))))))
% 13.98/14.29 (assume a7798 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat N2) (@ tptp.suc N2))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7799 (forall ((X tptp.real)) (= (@ tptp.uminus_uminus_real (@ tptp.sin_real X)) (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.divide_divide_real (@ tptp.real_V1803761363581548252l_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.29 (assume a7800 (forall ((X tptp.complex)) (= (@ tptp.uminus1482373934393186551omplex (@ tptp.sin_complex X)) (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex X) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))))
% 13.98/14.29 (assume a7801 (forall ((A tptp.extended_enat) (D tptp.extended_enat) (N2 tptp.nat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7108830773950497114d_enat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_p3455044024723400733d_enat A) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.semiri4216267220026989637d_enat I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_7803423173614009249d_enat (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.semiri4216267220026989637d_enat N2)) tptp.one_on7984719198319812577d_enat)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.semiri4216267220026989637d_enat N2)) D))))))
% 13.98/14.29 (assume a7802 (forall ((A tptp.int) (D tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) D))))))
% 13.98/14.29 (assume a7803 (forall ((A tptp.complex) (D tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex N2)) tptp.one_one_complex)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) D))))))
% 13.98/14.29 (assume a7804 (forall ((A tptp.code_integer) (D tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger N2)) tptp.one_one_Code_integer)) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) D))))))
% 13.98/14.29 (assume a7805 (forall ((A tptp.nat) (D tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat N2)) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) D))))))
% 13.98/14.29 (assume a7806 (forall ((A tptp.real) (D tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_real A) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.one_one_real)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) D))))))
% 13.98/14.29 (assume a7807 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7108830773950497114d_enat tptp.semiri4216267220026989637d_enat) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.semiri4216267220026989637d_enat N2)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.semiri4216267220026989637d_enat N2)) tptp.one_on7984719198319812577d_enat)))))
% 13.98/14.29 (assume a7808 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int)))))
% 13.98/14.29 (assume a7809 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups2073611262835488442omplex tptp.semiri8010041392384452111omplex) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex N2)) tptp.one_one_complex)))))
% 13.98/14.29 (assume a7810 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger N2)) tptp.one_one_Code_integer)))))
% 13.98/14.29 (assume a7811 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat N2)) tptp.one_one_nat)))))
% 13.98/14.29 (assume a7812 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.one_one_real)))))
% 13.98/14.29 (assume a7813 (forall ((A tptp.nat) (D tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat I5) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat (@ tptp.suc N2)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_nat N2) D)))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7814 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat N2) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat))) (@ (@ tptp.times_times_nat M) (@ (@ tptp.minus_minus_nat M) tptp.one_one_nat)))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7815 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.arccos Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.29 (assume a7816 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arcsin Y)) (@ (@ tptp.ord_less_real (@ tptp.arcsin Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.29 (assume a7817 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arcsin Y))))))
% 13.98/14.29 (assume a7818 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 13.98/14.29 (assume a7819 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arcsin Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))
% 13.98/14.29 (assume a7820 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X) (=> (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.arcsin (@ tptp.sin_real X)) X)))))
% 13.98/14.29 (assume a7821 (forall ((A tptp.int) (D tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int A) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) D)))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7822 (forall ((A tptp.code_integer) (D tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger N2)) tptp.one_one_Code_integer)) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) D)))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7823 (forall ((A tptp.nat) (D tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat A) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat I5)) D)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat N2)) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) A)) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) D)))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7824 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7825 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger N2)) tptp.one_one_Code_integer))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7826 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat N2)) tptp.one_one_nat))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7827 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7108830773950497114d_enat tptp.semiri4216267220026989637d_enat) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2))) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.semiri4216267220026989637d_enat N2)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ tptp.semiri4216267220026989637d_enat N2)) tptp.one_on7984719198319812577d_enat)))))
% 13.98/14.29 (assume a7828 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2))) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int)))))
% 13.98/14.29 (assume a7829 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups2073611262835488442omplex tptp.semiri8010041392384452111omplex) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2))) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex N2)) tptp.one_one_complex)))))
% 13.98/14.29 (assume a7830 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger N2)) tptp.one_one_Code_integer)))))
% 13.98/14.29 (assume a7831 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2))) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat N2)) tptp.one_one_nat)))))
% 13.98/14.29 (assume a7832 (forall ((N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.one_one_real)))))
% 13.98/14.29 (assume a7833 (forall ((X tptp.complex) (M tptp.nat) (N2 tptp.nat)) (and (=> (= X tptp.one_one_complex) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex N2)) tptp.one_one_complex))) (=> (not (= X tptp.one_one_complex)) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) M)) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex X) (@ tptp.suc N2))))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)))))))
% 13.98/14.29 (assume a7834 (forall ((X tptp.real) (M tptp.nat) (N2 tptp.nat)) (and (=> (= X tptp.one_one_real) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.one_one_real))) (=> (not (= X tptp.one_one_real)) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) M)) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.suc N2))))) (@ (@ tptp.minus_minus_real tptp.one_one_real) X)))))))
% 13.98/14.29 (assume a7835 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arcsin Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin Y)) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.sin_real (@ tptp.arcsin Y)) Y))))))
% 13.98/14.29 (assume a7836 (forall ((Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) Y) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.one_one_real) (and (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.arcsin Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin Y)) tptp.pi) (= (@ tptp.sin_real (@ tptp.arcsin Y)) Y))))))
% 13.98/14.29 (assume a7837 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) Y) (=> (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_eq_real (@ tptp.arcsin X)) Y) (@ (@ tptp.ord_less_eq_real X) (@ tptp.sin_real Y)))))))))
% 13.98/14.29 (assume a7838 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) Y) (=> (@ (@ tptp.ord_less_eq_real Y) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ (@ tptp.ord_less_eq_real Y) (@ tptp.arcsin X)) (@ (@ tptp.ord_less_eq_real (@ tptp.sin_real Y)) X))))))))
% 13.98/14.29 (assume a7839 (forall ((Theta tptp.real)) (not (forall ((K2 tptp.int)) (not (= (@ tptp.arccos (@ tptp.cos_real Theta)) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real Theta) (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real K2)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))))))))))
% 13.98/14.29 (assume a7840 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int N2)) tptp.one_one_int))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7841 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.semiri4939895301339042750nteger N2)) tptp.one_one_Code_integer))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7842 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) (@ (@ tptp.plus_plus_nat (@ tptp.semiri1316708129612266289at_nat N2)) tptp.one_one_nat))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 13.98/14.29 (assume a7843 (= tptp.arsinh_real (lambda ((X2 tptp.real)) (@ tptp.ln_ln_real (@ (@ tptp.plus_plus_real X2) (@ (@ tptp.powr_real (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)) (@ tptp.real_V1803761363581548252l_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))))
% 13.98/14.29 (assume a7844 (forall ((H2 tptp.complex) (Z tptp.complex) (N2 tptp.nat)) (=> (not (= H2 tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex Z) H2)) N2)) (@ (@ tptp.power_power_complex Z) N2))) H2)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) (@ (@ tptp.power_power_complex Z) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))) (@ (@ tptp.times_times_complex H2) (@ (@ tptp.groups2073611262835488442omplex (lambda ((P4 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((Q4 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex Z) H2)) Q4)) (@ (@ tptp.power_power_complex Z) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) Q4))))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))) P4))))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 13.98/14.29 (assume a7845 (forall ((H2 tptp.real) (Z tptp.real) (N2 tptp.nat)) (=> (not (= H2 tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real Z) H2)) N2)) (@ (@ tptp.power_power_real Z) N2))) H2)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real Z) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))) (@ (@ tptp.times_times_real H2) (@ (@ tptp.groups6591440286371151544t_real (lambda ((P4 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((Q4 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real Z) H2)) Q4)) (@ (@ tptp.power_power_real Z) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) Q4))))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))) P4))))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 13.98/14.29 (assume a7846 (forall ((Z tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N))) (@ (@ tptp.power_power_real Z) N)))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real tptp.one_one_real) Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.29 (assume a7847 (forall ((Z tptp.complex)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc N))) (@ (@ tptp.power_power_complex Z) N)))) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ (@ tptp.power_power_complex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 13.98/14.29 (assume a7848 (forall ((X8 (-> tptp.nat tptp.real))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_real (@ X8 M5)) (@ X8 N4)))) (@ tptp.topolo6980174941875973593q_real X8))))
% 13.98/14.29 (assume a7849 (forall ((X8 (-> tptp.nat tptp.set_real))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_set_real (@ X8 M5)) (@ X8 N4)))) (@ tptp.topolo2489691266198938127t_real X8))))
% 13.98/14.29 (assume a7850 (forall ((X8 (-> tptp.nat tptp.set_nat))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_set_nat (@ X8 M5)) (@ X8 N4)))) (@ tptp.topolo7278393974255667507et_nat X8))))
% 13.98/14.29 (assume a7851 (forall ((X8 (-> tptp.nat tptp.num))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_num (@ X8 M5)) (@ X8 N4)))) (@ tptp.topolo1459490580787246023eq_num X8))))
% 13.98/14.29 (assume a7852 (forall ((X8 (-> tptp.nat tptp.nat))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_nat (@ X8 M5)) (@ X8 N4)))) (@ tptp.topolo4902158794631467389eq_nat X8))))
% 13.98/14.29 (assume a7853 (forall ((X8 (-> tptp.nat tptp.int))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_int (@ X8 M5)) (@ X8 N4)))) (@ tptp.topolo4899668324122417113eq_int X8))))
% 13.98/14.29 (assume a7854 (forall ((X8 (-> tptp.nat tptp.real))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_real (@ X8 N4)) (@ X8 M5)))) (@ tptp.topolo6980174941875973593q_real X8))))
% 13.98/14.29 (assume a7855 (forall ((X8 (-> tptp.nat tptp.set_real))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_set_real (@ X8 N4)) (@ X8 M5)))) (@ tptp.topolo2489691266198938127t_real X8))))
% 13.98/14.29 (assume a7856 (forall ((X8 (-> tptp.nat tptp.set_nat))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_set_nat (@ X8 N4)) (@ X8 M5)))) (@ tptp.topolo7278393974255667507et_nat X8))))
% 13.98/14.29 (assume a7857 (forall ((X8 (-> tptp.nat tptp.num))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_num (@ X8 N4)) (@ X8 M5)))) (@ tptp.topolo1459490580787246023eq_num X8))))
% 13.98/14.29 (assume a7858 (forall ((X8 (-> tptp.nat tptp.nat))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_nat (@ X8 N4)) (@ X8 M5)))) (@ tptp.topolo4902158794631467389eq_nat X8))))
% 13.98/14.29 (assume a7859 (forall ((X8 (-> tptp.nat tptp.int))) (=> (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M5) N4) (@ (@ tptp.ord_less_eq_int (@ X8 N4)) (@ X8 M5)))) (@ tptp.topolo4899668324122417113eq_int X8))))
% 13.98/14.29 (assume a7860 (= tptp.topolo6980174941875973593q_real (lambda ((X4 (-> tptp.nat tptp.real))) (or (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_real (@ X4 M6)) (@ X4 N)))) (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_real (@ X4 N)) (@ X4 M6))))))))
% 13.98/14.29 (assume a7861 (= tptp.topolo2489691266198938127t_real (lambda ((X4 (-> tptp.nat tptp.set_real))) (or (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_set_real (@ X4 M6)) (@ X4 N)))) (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_set_real (@ X4 N)) (@ X4 M6))))))))
% 13.98/14.29 (assume a7862 (= tptp.topolo7278393974255667507et_nat (lambda ((X4 (-> tptp.nat tptp.set_nat))) (or (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_set_nat (@ X4 M6)) (@ X4 N)))) (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_set_nat (@ X4 N)) (@ X4 M6))))))))
% 13.98/14.29 (assume a7863 (= tptp.topolo1459490580787246023eq_num (lambda ((X4 (-> tptp.nat tptp.num))) (or (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_num (@ X4 M6)) (@ X4 N)))) (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_num (@ X4 N)) (@ X4 M6))))))))
% 13.98/14.29 (assume a7864 (= tptp.topolo4902158794631467389eq_nat (lambda ((X4 (-> tptp.nat tptp.nat))) (or (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_nat (@ X4 M6)) (@ X4 N)))) (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_nat (@ X4 N)) (@ X4 M6))))))))
% 13.98/14.29 (assume a7865 (= tptp.topolo4899668324122417113eq_int (lambda ((X4 (-> tptp.nat tptp.int))) (or (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_int (@ X4 M6)) (@ X4 N)))) (forall ((M6 tptp.nat) (N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.ord_less_eq_int (@ X4 N)) (@ X4 M6))))))))
% 13.98/14.29 (assume a7866 (forall ((I2 tptp.extended_enat) (K tptp.extended_enat)) (= (@ (@ tptp.member_Extended_enat I2) (@ tptp.set_or8419480210114673929d_enat K)) (@ (@ tptp.ord_le72135733267957522d_enat I2) K))))
% 13.98/14.29 (assume a7867 (forall ((I2 tptp.num) (K tptp.num)) (= (@ (@ tptp.member_num I2) (@ tptp.set_ord_lessThan_num K)) (@ (@ tptp.ord_less_num I2) K))))
% 13.98/14.29 (assume a7868 (forall ((I2 tptp.int) (K tptp.int)) (= (@ (@ tptp.member_int I2) (@ tptp.set_ord_lessThan_int K)) (@ (@ tptp.ord_less_int I2) K))))
% 13.98/14.29 (assume a7869 (forall ((I2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.member_nat I2) (@ tptp.set_ord_lessThan_nat K)) (@ (@ tptp.ord_less_nat I2) K))))
% 13.98/14.29 (assume a7870 (forall ((I2 tptp.real) (K tptp.real)) (= (@ (@ tptp.member_real I2) (@ tptp.set_or5984915006950818249n_real K)) (@ (@ tptp.ord_less_real I2) K))))
% 13.98/14.29 (assume a7871 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.ord_less_eq_set_num (@ tptp.set_ord_lessThan_num X)) (@ tptp.set_ord_lessThan_num Y)) (@ (@ tptp.ord_less_eq_num X) Y))))
% 13.98/14.29 (assume a7872 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_ord_lessThan_int X)) (@ tptp.set_ord_lessThan_int Y)) (@ (@ tptp.ord_less_eq_int X) Y))))
% 13.98/14.29 (assume a7873 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_ord_lessThan_nat X)) (@ tptp.set_ord_lessThan_nat Y)) (@ (@ tptp.ord_less_eq_nat X) Y))))
% 13.98/14.29 (assume a7874 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_or5984915006950818249n_real X)) (@ tptp.set_or5984915006950818249n_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 13.98/14.29 (assume a7875 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 13.98/14.29 (assume a7876 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 13.98/14.29 (assume a7877 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 13.98/14.29 (assume a7878 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 13.98/14.29 (assume a7879 (forall ((A (-> tptp.nat tptp.complex)) (X tptp.complex)) (= (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ A N)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N)))) X) (= (@ A tptp.zero_zero_nat) X))))
% 13.98/14.29 (assume a7880 (forall ((A (-> tptp.nat tptp.real)) (X tptp.real)) (= (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ A N)) (@ (@ tptp.power_power_real tptp.zero_zero_real) N)))) X) (= (@ A tptp.zero_zero_nat) X))))
% 13.98/14.29 (assume a7881 (forall ((Q (-> tptp.real tptp.nat)) (P (-> tptp.real tptp.nat)) (N2 tptp.real)) (=> (forall ((X5 tptp.real)) (@ (@ tptp.ord_less_eq_nat (@ Q X5)) (@ P X5))) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups1935376822645274424al_nat P) (@ tptp.set_or5984915006950818249n_real N2))) (@ (@ tptp.groups1935376822645274424al_nat Q) (@ tptp.set_or5984915006950818249n_real N2))) (@ (@ tptp.groups1935376822645274424al_nat (lambda ((X2 tptp.real)) (@ (@ tptp.minus_minus_nat (@ P X2)) (@ Q X2)))) (@ tptp.set_or5984915006950818249n_real N2))))))
% 13.98/14.29 (assume a7882 (forall ((Q (-> tptp.nat tptp.nat)) (P (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (=> (forall ((X5 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ Q X5)) (@ P X5))) (= (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups3542108847815614940at_nat P) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.groups3542108847815614940at_nat Q) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.minus_minus_nat (@ P X2)) (@ Q X2)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7883 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real)) (S3 tptp.real) (T tptp.real)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N4)) (@ G N4))) (=> (@ (@ tptp.sums_real F) S3) (=> (@ (@ tptp.sums_real G) T) (@ (@ tptp.ord_less_eq_real S3) T))))))
% 13.98/14.29 (assume a7884 (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (S3 tptp.nat) (T tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ F N4)) (@ G N4))) (=> (@ (@ tptp.sums_nat F) S3) (=> (@ (@ tptp.sums_nat G) T) (@ (@ tptp.ord_less_eq_nat S3) T))))))
% 13.98/14.29 (assume a7885 (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (S3 tptp.int) (T tptp.int)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ F N4)) (@ G N4))) (=> (@ (@ tptp.sums_int F) S3) (=> (@ (@ tptp.sums_int G) T) (@ (@ tptp.ord_less_eq_int S3) T))))))
% 13.98/14.29 (assume a7886 (forall ((F (-> tptp.nat tptp.complex)) (A tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.sums_complex F) A) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) C))) (@ (@ tptp.times_times_complex A) C)))))
% 13.98/14.29 (assume a7887 (forall ((F (-> tptp.nat tptp.real)) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.sums_real F) A) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) C))) (@ (@ tptp.times_times_real A) C)))))
% 13.98/14.29 (assume a7888 (forall ((F (-> tptp.nat tptp.complex)) (A tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.sums_complex F) A) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))) (@ (@ tptp.times_times_complex C) A)))))
% 13.98/14.29 (assume a7889 (forall ((F (-> tptp.nat tptp.real)) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.sums_real F) A) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))) (@ (@ tptp.times_times_real C) A)))))
% 13.98/14.29 (assume a7890 (forall ((F (-> tptp.nat tptp.complex)) (A tptp.complex) (G (-> tptp.nat tptp.complex)) (B tptp.complex)) (=> (@ (@ tptp.sums_complex F) A) (=> (@ (@ tptp.sums_complex G) B) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_complex (@ F N)) (@ G N)))) (@ (@ tptp.plus_plus_complex A) B))))))
% 13.98/14.29 (assume a7891 (forall ((F (-> tptp.nat tptp.real)) (A tptp.real) (G (-> tptp.nat tptp.real)) (B tptp.real)) (=> (@ (@ tptp.sums_real F) A) (=> (@ (@ tptp.sums_real G) B) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_real (@ F N)) (@ G N)))) (@ (@ tptp.plus_plus_real A) B))))))
% 13.98/14.29 (assume a7892 (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (G (-> tptp.nat tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.sums_nat F) A) (=> (@ (@ tptp.sums_nat G) B) (@ (@ tptp.sums_nat (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ F N)) (@ G N)))) (@ (@ tptp.plus_plus_nat A) B))))))
% 13.98/14.29 (assume a7893 (forall ((F (-> tptp.nat tptp.int)) (A tptp.int) (G (-> tptp.nat tptp.int)) (B tptp.int)) (=> (@ (@ tptp.sums_int F) A) (=> (@ (@ tptp.sums_int G) B) (@ (@ tptp.sums_int (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_int (@ F N)) (@ G N)))) (@ (@ tptp.plus_plus_int A) B))))))
% 13.98/14.29 (assume a7894 (forall ((F (-> tptp.nat tptp.real)) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.sums_real F) A) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real (@ F N)) C))) (@ (@ tptp.divide_divide_real A) C)))))
% 13.98/14.29 (assume a7895 (forall ((F (-> tptp.nat tptp.complex)) (A tptp.complex) (C tptp.complex)) (=> (@ (@ tptp.sums_complex F) A) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ F N)) C))) (@ (@ tptp.divide1717551699836669952omplex A) C)))))
% 13.98/14.29 (assume a7896 (= tptp.set_or8419480210114673929d_enat (lambda ((U2 tptp.extended_enat)) (@ tptp.collec4429806609662206161d_enat (lambda ((X2 tptp.extended_enat)) (@ (@ tptp.ord_le72135733267957522d_enat X2) U2))))))
% 13.98/14.29 (assume a7897 (= tptp.set_ord_lessThan_num (lambda ((U2 tptp.num)) (@ tptp.collect_num (lambda ((X2 tptp.num)) (@ (@ tptp.ord_less_num X2) U2))))))
% 13.98/14.29 (assume a7898 (= tptp.set_ord_lessThan_int (lambda ((U2 tptp.int)) (@ tptp.collect_int (lambda ((X2 tptp.int)) (@ (@ tptp.ord_less_int X2) U2))))))
% 13.98/14.29 (assume a7899 (= tptp.set_ord_lessThan_nat (lambda ((U2 tptp.nat)) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.ord_less_nat X2) U2))))))
% 13.98/14.29 (assume a7900 (= tptp.set_or5984915006950818249n_real (lambda ((U2 tptp.real)) (@ tptp.collect_real (lambda ((X2 tptp.real)) (@ (@ tptp.ord_less_real X2) U2))))))
% 13.98/14.29 (assume a7901 (forall ((F (-> tptp.nat tptp.complex)) (N2 tptp.nat) (S3 tptp.complex)) (= (@ (@ tptp.sums_complex (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) S3) (@ (@ tptp.sums_complex F) (@ (@ tptp.plus_plus_complex S3) (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_lessThan_nat N2)))))))
% 13.98/14.29 (assume a7902 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat) (S3 tptp.real)) (= (@ (@ tptp.sums_real (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) S3) (@ (@ tptp.sums_real F) (@ (@ tptp.plus_plus_real S3) (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N2)))))))
% 13.98/14.29 (assume a7903 (forall ((F (-> tptp.nat tptp.complex)) (S3 tptp.complex) (N2 tptp.nat)) (=> (@ (@ tptp.sums_complex F) S3) (@ (@ tptp.sums_complex (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) (@ (@ tptp.minus_minus_complex S3) (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_lessThan_nat N2)))))))
% 13.98/14.29 (assume a7904 (forall ((F (-> tptp.nat tptp.real)) (S3 tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.sums_real F) S3) (@ (@ tptp.sums_real (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) (@ (@ tptp.minus_minus_real S3) (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N2)))))))
% 13.98/14.29 (assume a7905 (forall ((F (-> tptp.nat tptp.complex)) (N2 tptp.nat) (S3 tptp.complex)) (= (@ (@ tptp.sums_complex (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) (@ (@ tptp.minus_minus_complex S3) (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_lessThan_nat N2)))) (@ (@ tptp.sums_complex F) S3))))
% 13.98/14.29 (assume a7906 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat) (S3 tptp.real)) (= (@ (@ tptp.sums_real (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) (@ (@ tptp.minus_minus_real S3) (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N2)))) (@ (@ tptp.sums_real F) S3))))
% 13.98/14.29 (assume a7907 (forall ((M tptp.extended_enat) (N2 tptp.extended_enat)) (= (@ (@ tptp.ord_le2529575680413868914d_enat (@ tptp.set_or8419480210114673929d_enat M)) (@ tptp.set_or8419480210114673929d_enat N2)) (@ (@ tptp.ord_le72135733267957522d_enat M) N2))))
% 13.98/14.29 (assume a7908 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.ord_less_set_num (@ tptp.set_ord_lessThan_num M)) (@ tptp.set_ord_lessThan_num N2)) (@ (@ tptp.ord_less_num M) N2))))
% 13.98/14.29 (assume a7909 (forall ((M tptp.int) (N2 tptp.int)) (= (@ (@ tptp.ord_less_set_int (@ tptp.set_ord_lessThan_int M)) (@ tptp.set_ord_lessThan_int N2)) (@ (@ tptp.ord_less_int M) N2))))
% 13.98/14.29 (assume a7910 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_set_nat (@ tptp.set_ord_lessThan_nat M)) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.ord_less_nat M) N2))))
% 13.98/14.29 (assume a7911 (forall ((M tptp.real) (N2 tptp.real)) (= (@ (@ tptp.ord_less_set_real (@ tptp.set_or5984915006950818249n_real M)) (@ tptp.set_or5984915006950818249n_real N2)) (@ (@ tptp.ord_less_real M) N2))))
% 13.98/14.29 (assume a7912 (forall ((C tptp.complex) (F (-> tptp.nat tptp.complex)) (D tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ F N)) C))) (@ (@ tptp.times_times_complex D) C)) (@ (@ tptp.sums_complex F) D)))))
% 13.98/14.29 (assume a7913 (forall ((C tptp.real) (F (-> tptp.nat tptp.real)) (D tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) C))) (@ (@ tptp.times_times_real D) C)) (@ (@ tptp.sums_real F) D)))))
% 13.98/14.29 (assume a7914 (forall ((C tptp.complex) (F (-> tptp.nat tptp.complex)) (D tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))) (@ (@ tptp.times_times_complex C) D)) (@ (@ tptp.sums_complex F) D)))))
% 13.98/14.29 (assume a7915 (forall ((C tptp.real) (F (-> tptp.nat tptp.real)) (D tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))) (@ (@ tptp.times_times_real C) D)) (@ (@ tptp.sums_real F) D)))))
% 13.98/14.29 (assume a7916 (forall ((K tptp.nat)) (= (@ tptp.set_ord_lessThan_nat (@ tptp.suc K)) (@ (@ tptp.insert_nat K) (@ tptp.set_ord_lessThan_nat K)))))
% 13.98/14.29 (assume a7917 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.nat)) (F (-> tptp.real tptp.nat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_nat (@ G X5)) (@ F X5)))) (= (@ (@ tptp.groups1935376822645274424al_nat (lambda ((X2 tptp.real)) (@ (@ tptp.minus_minus_nat (@ F X2)) (@ G X2)))) A2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups1935376822645274424al_nat F) A2)) (@ (@ tptp.groups1935376822645274424al_nat G) A2))))))
% 13.98/14.29 (assume a7918 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_nat (@ G X5)) (@ F X5)))) (= (@ (@ tptp.groups4541462559716669496nt_nat (lambda ((X2 tptp.int)) (@ (@ tptp.minus_minus_nat (@ F X2)) (@ G X2)))) A2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups4541462559716669496nt_nat F) A2)) (@ (@ tptp.groups4541462559716669496nt_nat G) A2))))))
% 13.98/14.29 (assume a7919 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (F (-> tptp.complex tptp.nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_nat (@ G X5)) (@ F X5)))) (= (@ (@ tptp.groups5693394587270226106ex_nat (lambda ((X2 tptp.complex)) (@ (@ tptp.minus_minus_nat (@ F X2)) (@ G X2)))) A2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) (@ (@ tptp.groups5693394587270226106ex_nat G) A2))))))
% 13.98/14.29 (assume a7920 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (G (-> tptp.product_prod_nat_nat tptp.nat)) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X5) A2) (@ (@ tptp.ord_less_eq_nat (@ G X5)) (@ F X5)))) (= (@ (@ tptp.groups977919841031483927at_nat (lambda ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.minus_minus_nat (@ F X2)) (@ G X2)))) A2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups977919841031483927at_nat F) A2)) (@ (@ tptp.groups977919841031483927at_nat G) A2))))))
% 13.98/14.29 (assume a7921 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_nat (@ G X5)) (@ F X5)))) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.minus_minus_nat (@ F X2)) (@ G X2)))) A2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups3542108847815614940at_nat G) A2))))))
% 13.98/14.29 (assume a7922 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (= (@ (@ tptp.groups5693394587270226106ex_nat F) A2) (@ tptp.suc tptp.zero_zero_nat)) (exists ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (= (@ F X2) (@ tptp.suc tptp.zero_zero_nat)) (forall ((Y3 tptp.complex)) (=> (@ (@ tptp.member_complex Y3) A2) (=> (not (= X2 Y3)) (= (@ F Y3) tptp.zero_zero_nat))))))))))
% 13.98/14.29 (assume a7923 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (= (= (@ (@ tptp.groups3542108847815614940at_nat F) A2) (@ tptp.suc tptp.zero_zero_nat)) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (= (@ F X2) (@ tptp.suc tptp.zero_zero_nat)) (forall ((Y3 tptp.nat)) (=> (@ (@ tptp.member_nat Y3) A2) (=> (not (= X2 Y3)) (= (@ F Y3) tptp.zero_zero_nat))))))))))
% 13.98/14.29 (assume a7924 (forall ((F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat) (N2 tptp.nat)) (=> (= (@ (@ tptp.groups3542108847815614940at_nat F) A2) (@ tptp.suc N2)) (exists ((X5 tptp.nat)) (and (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F X5)))))))
% 13.98/14.29 (assume a7925 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (= (@ (@ tptp.groups5693394587270226106ex_nat F) A2) tptp.one_one_nat) (exists ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (= (@ F X2) tptp.one_one_nat) (forall ((Y3 tptp.complex)) (=> (@ (@ tptp.member_complex Y3) A2) (=> (not (= X2 Y3)) (= (@ F Y3) tptp.zero_zero_nat))))))))))
% 13.98/14.29 (assume a7926 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (= (= (@ (@ tptp.groups3542108847815614940at_nat F) A2) tptp.one_one_nat) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (= (@ F X2) tptp.one_one_nat) (forall ((Y3 tptp.nat)) (=> (@ (@ tptp.member_nat Y3) A2) (=> (not (= X2 Y3)) (= (@ F Y3) tptp.zero_zero_nat))))))))))
% 13.98/14.29 (assume a7927 (forall ((C tptp.real) (F (-> tptp.nat tptp.real)) (A tptp.real)) (=> (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real C) (@ F N)))) A) (=> (not (= C tptp.zero_zero_real)) (@ (@ tptp.sums_real F) (@ (@ tptp.divide_divide_real A) C))))))
% 13.98/14.29 (assume a7928 (forall ((C tptp.complex) (F (-> tptp.nat tptp.complex)) (A tptp.complex)) (=> (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex C) (@ F N)))) A) (=> (not (= C tptp.zero_zero_complex)) (@ (@ tptp.sums_complex F) (@ (@ tptp.divide1717551699836669952omplex A) C))))))
% 13.98/14.29 (assume a7929 (forall ((F (-> tptp.nat tptp.complex)) (S3 tptp.complex)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_zero_complex) (=> (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) S3) (@ (@ tptp.sums_complex F) S3)))))
% 13.98/14.29 (assume a7930 (forall ((F (-> tptp.nat tptp.real)) (S3 tptp.real)) (=> (= (@ F tptp.zero_zero_nat) tptp.zero_zero_real) (=> (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) S3) (@ (@ tptp.sums_real F) S3)))))
% 13.98/14.29 (assume a7931 (forall ((F (-> tptp.nat tptp.complex)) (L2 tptp.complex)) (=> (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) L2) (@ (@ tptp.sums_complex F) (@ (@ tptp.plus_plus_complex L2) (@ F tptp.zero_zero_nat))))))
% 13.98/14.29 (assume a7932 (forall ((F (-> tptp.nat tptp.real)) (L2 tptp.real)) (=> (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) L2) (@ (@ tptp.sums_real F) (@ (@ tptp.plus_plus_real L2) (@ F tptp.zero_zero_nat))))))
% 13.98/14.29 (assume a7933 (forall ((F (-> tptp.nat tptp.nat)) (L2 tptp.nat)) (=> (@ (@ tptp.sums_nat (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) L2) (@ (@ tptp.sums_nat F) (@ (@ tptp.plus_plus_nat L2) (@ F tptp.zero_zero_nat))))))
% 13.98/14.29 (assume a7934 (forall ((F (-> tptp.nat tptp.int)) (L2 tptp.int)) (=> (@ (@ tptp.sums_int (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) L2) (@ (@ tptp.sums_int F) (@ (@ tptp.plus_plus_int L2) (@ F tptp.zero_zero_nat))))))
% 13.98/14.29 (assume a7935 (forall ((F (-> tptp.nat tptp.complex)) (S3 tptp.complex)) (= (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) S3) (@ (@ tptp.sums_complex F) (@ (@ tptp.plus_plus_complex S3) (@ F tptp.zero_zero_nat))))))
% 13.98/14.29 (assume a7936 (forall ((F (-> tptp.nat tptp.real)) (S3 tptp.real)) (= (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ F (@ tptp.suc N)))) S3) (@ (@ tptp.sums_real F) (@ (@ tptp.plus_plus_real S3) (@ F tptp.zero_zero_nat))))))
% 13.98/14.29 (assume a7937 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.complex)) (S3 tptp.complex)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) N2) (= (@ F I4) tptp.zero_zero_complex))) (= (@ (@ tptp.sums_complex (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) S3) (@ (@ tptp.sums_complex F) S3)))))
% 13.98/14.29 (assume a7938 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.real)) (S3 tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I4) N2) (= (@ F I4) tptp.zero_zero_real))) (= (@ (@ tptp.sums_real (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat I5) N2)))) S3) (@ (@ tptp.sums_real F) S3)))))
% 13.98/14.29 (assume a7939 (forall ((K tptp.num)) (= (@ tptp.set_ord_lessThan_nat (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.insert_nat (@ tptp.pred_numeral K)) (@ tptp.set_ord_lessThan_nat (@ tptp.pred_numeral K))))))
% 13.98/14.29 (assume a7940 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7941 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7942 (forall ((N2 tptp.nat) (C tptp.complex)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) N2) (= (@ (@ tptp.groups7754918857620584856omplex (lambda ((X2 tptp.complex)) X2)) (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) C)))) tptp.zero_zero_complex))))
% 13.98/14.29 (assume a7943 (forall ((M tptp.nat) (Z tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ (@ tptp.if_complex (= N M)) tptp.one_one_complex) tptp.zero_zero_complex)) (@ (@ tptp.power_power_complex Z) N)))) (@ (@ tptp.power_power_complex Z) M))))
% 13.98/14.29 (assume a7944 (forall ((M tptp.nat) (Z tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ (@ tptp.if_real (= N M)) tptp.one_one_real) tptp.zero_zero_real)) (@ (@ tptp.power_power_real Z) N)))) (@ (@ tptp.power_power_real Z) M))))
% 13.98/14.29 (assume a7945 (forall ((M tptp.nat) (Z tptp.int)) (@ (@ tptp.sums_int (lambda ((N tptp.nat)) (@ (@ tptp.times_times_int (@ (@ (@ tptp.if_int (= N M)) tptp.one_one_int) tptp.zero_zero_int)) (@ (@ tptp.power_power_int Z) N)))) (@ (@ tptp.power_power_int Z) M))))
% 13.98/14.29 (assume a7946 (forall ((A (-> tptp.nat tptp.complex))) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ A N)) (@ (@ tptp.power_power_complex tptp.zero_zero_complex) N)))) (@ A tptp.zero_zero_nat))))
% 13.98/14.29 (assume a7947 (forall ((A (-> tptp.nat tptp.real))) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ A N)) (@ (@ tptp.power_power_real tptp.zero_zero_real) N)))) (@ A tptp.zero_zero_nat))))
% 13.98/14.29 (assume a7948 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (= (@ (@ tptp.groups5693394587270226106ex_nat F) (@ (@ tptp.minus_811609699411566653omplex A2) B2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups5693394587270226106ex_nat F) A2)) (@ (@ tptp.groups5693394587270226106ex_nat F) B2)))))))
% 13.98/14.29 (assume a7949 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (= (@ (@ tptp.groups1935376822645274424al_nat F) (@ (@ tptp.minus_minus_set_real A2) B2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups1935376822645274424al_nat F) A2)) (@ (@ tptp.groups1935376822645274424al_nat F) B2)))))))
% 13.98/14.29 (assume a7950 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (= (@ (@ tptp.groups3542108847815614940at_nat F) (@ (@ tptp.minus_minus_set_nat A2) B2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups3542108847815614940at_nat F) B2)))))))
% 13.98/14.29 (assume a7951 (forall ((G (-> tptp.nat tptp.complex)) (S tptp.complex) (A2 tptp.set_nat) (S5 tptp.complex) (F (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.sums_complex G) S) (=> (@ tptp.finite_finite_nat A2) (=> (= S5 (@ (@ tptp.plus_plus_complex S) (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F N)) (@ G N)))) A2))) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.member_nat N) A2)) (@ F N)) (@ G N)))) S5))))))
% 13.98/14.29 (assume a7952 (forall ((G (-> tptp.nat tptp.real)) (S tptp.real) (A2 tptp.set_nat) (S5 tptp.real) (F (-> tptp.nat tptp.real))) (=> (@ (@ tptp.sums_real G) S) (=> (@ tptp.finite_finite_nat A2) (=> (= S5 (@ (@ tptp.plus_plus_real S) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_real (@ F N)) (@ G N)))) A2))) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.member_nat N) A2)) (@ F N)) (@ G N)))) S5))))))
% 13.98/14.29 (assume a7953 (forall ((F (-> tptp.nat tptp.int)) (X tptp.int)) (=> (@ tptp.summable_int F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_lessThan_nat N4))) X)) (@ (@ tptp.ord_less_eq_int (@ tptp.suminf_int F)) X)))))
% 13.98/14.29 (assume a7954 (forall ((F (-> tptp.nat tptp.nat)) (X tptp.nat)) (=> (@ tptp.summable_nat F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_lessThan_nat N4))) X)) (@ (@ tptp.ord_less_eq_nat (@ tptp.suminf_nat F)) X)))))
% 13.98/14.29 (assume a7955 (forall ((F (-> tptp.nat tptp.real)) (X tptp.real)) (=> (@ tptp.summable_real F) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N4))) X)) (@ (@ tptp.ord_less_eq_real (@ tptp.suminf_real F)) X)))))
% 13.98/14.29 (assume a7956 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7957 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7958 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7959 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7960 (forall ((F (-> tptp.nat tptp.complex)) (M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F N)) (@ F (@ tptp.suc N))))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.minus_minus_complex (@ F tptp.zero_zero_nat)) (@ F M)))))
% 13.98/14.29 (assume a7961 (forall ((F (-> tptp.nat tptp.int)) (M tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_int (@ F N)) (@ F (@ tptp.suc N))))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.minus_minus_int (@ F tptp.zero_zero_nat)) (@ F M)))))
% 13.98/14.29 (assume a7962 (forall ((F (-> tptp.nat tptp.real)) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_real (@ F N)) (@ F (@ tptp.suc N))))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.minus_minus_real (@ F tptp.zero_zero_nat)) (@ F M)))))
% 13.98/14.29 (assume a7963 (forall ((F (-> tptp.nat tptp.complex)) (M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F (@ tptp.suc N))) (@ F N)))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.minus_minus_complex (@ F M)) (@ F tptp.zero_zero_nat)))))
% 13.98/14.29 (assume a7964 (forall ((F (-> tptp.nat tptp.int)) (M tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_int (@ F (@ tptp.suc N))) (@ F N)))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.minus_minus_int (@ F M)) (@ F tptp.zero_zero_nat)))))
% 13.98/14.29 (assume a7965 (forall ((F (-> tptp.nat tptp.real)) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_real (@ F (@ tptp.suc N))) (@ F N)))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.minus_minus_real (@ F M)) (@ F tptp.zero_zero_nat)))))
% 13.98/14.29 (assume a7966 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat) (R tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) R)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_int (@ F I5)) R))) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7967 (forall ((F (-> tptp.nat tptp.complex)) (N2 tptp.nat) (R tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) R)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F I5)) R))) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7968 (forall ((F (-> tptp.nat tptp.code_integer)) (N2 tptp.nat) (R tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger (@ (@ tptp.groups7501900531339628137nteger F) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) R)) (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_8373710615458151222nteger (@ F I5)) R))) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7969 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat) (R tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) R)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_real (@ F I5)) R))) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7970 (forall ((F (-> tptp.nat tptp.int)) (X tptp.int)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_lessThan_nat N4))) X)) (@ tptp.summable_int F)))))
% 13.98/14.29 (assume a7971 (forall ((F (-> tptp.nat tptp.nat)) (X tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_lessThan_nat N4))) X)) (@ tptp.summable_nat F)))))
% 13.98/14.29 (assume a7972 (forall ((F (-> tptp.nat tptp.real)) (X tptp.real)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N4))) X)) (@ tptp.summable_real F)))))
% 13.98/14.29 (assume a7973 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ G (@ tptp.suc K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7974 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ G (@ tptp.suc K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 13.98/14.29 (assume a7975 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.one_one_nat) N2) (= (@ (@ tptp.groups7754918857620584856omplex (lambda ((X2 tptp.complex)) X2)) (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) tptp.one_one_complex)))) tptp.zero_zero_complex))))
% 13.98/14.29 (assume a7976 (forall ((X tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)) (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7977 (forall ((X tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_int tptp.one_one_int) (@ (@ tptp.power_power_int X) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int tptp.one_one_int) X)) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7978 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real tptp.one_one_real) X)) (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7979 (forall ((X tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex X) N2)) tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex X) tptp.one_one_complex)) (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7980 (forall ((X tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int X) N2)) tptp.one_one_int) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int X) tptp.one_one_int)) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7981 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) N2)) tptp.one_one_real) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real X) tptp.one_one_real)) (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a7982 (forall ((X tptp.complex) (N2 tptp.nat)) (=> (not (= X tptp.one_one_complex)) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex X) N2)) tptp.one_one_complex)) (@ (@ tptp.minus_minus_complex X) tptp.one_one_complex))))))
% 13.98/14.29 (assume a7983 (forall ((X tptp.real) (N2 tptp.nat)) (=> (not (= X tptp.one_one_real)) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) N2)) tptp.one_one_real)) (@ (@ tptp.minus_minus_real X) tptp.one_one_real))))))
% 13.98/14.29 (assume a7984 (forall ((F (-> tptp.nat tptp.complex)) (K tptp.nat)) (=> (@ tptp.summable_complex F) (= (@ tptp.suminf_complex F) (@ (@ tptp.plus_plus_complex (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat N) K))))) (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_lessThan_nat K)))))))
% 13.98/14.29 (assume a7985 (forall ((F (-> tptp.nat tptp.real)) (K tptp.nat)) (=> (@ tptp.summable_real F) (= (@ tptp.suminf_real F) (@ (@ tptp.plus_plus_real (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat N) K))))) (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat K)))))))
% 13.98/14.29 (assume a7986 (forall ((F (-> tptp.nat tptp.complex)) (K tptp.nat)) (=> (@ tptp.summable_complex F) (= (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat N) K)))) (@ (@ tptp.minus_minus_complex (@ tptp.suminf_complex F)) (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_lessThan_nat K)))))))
% 13.98/14.29 (assume a7987 (forall ((F (-> tptp.nat tptp.real)) (K tptp.nat)) (=> (@ tptp.summable_real F) (= (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ F (@ (@ tptp.plus_plus_nat N) K)))) (@ (@ tptp.minus_minus_real (@ tptp.suminf_real F)) (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat K)))))))
% 13.98/14.29 (assume a7988 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat)) (=> (@ tptp.summable_int F) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M5) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F M5)))) (@ (@ tptp.ord_less_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_lessThan_nat N2))) (@ tptp.suminf_int F))))))
% 13.98/14.29 (assume a7989 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (=> (@ tptp.summable_nat F) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M5) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F M5)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_lessThan_nat N2))) (@ tptp.suminf_nat F))))))
% 13.98/14.29 (assume a7990 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat)) (=> (@ tptp.summable_real F) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M5) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F M5)))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N2))) (@ tptp.suminf_real F))))))
% 13.98/14.29 (assume a7991 (forall ((X tptp.complex) (N2 tptp.nat)) (and (=> (= X tptp.one_one_complex) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_lessThan_nat N2)) (@ tptp.semiri8010041392384452111omplex N2))) (=> (not (= X tptp.one_one_complex)) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex X) N2))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)))))))
% 13.98/14.29 (assume a7992 (forall ((X tptp.real) (N2 tptp.nat)) (and (=> (= X tptp.one_one_real) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_lessThan_nat N2)) (@ tptp.semiri5074537144036343181t_real N2))) (=> (not (= X tptp.one_one_real)) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) N2))) (@ (@ tptp.minus_minus_real tptp.one_one_real) X)))))))
% 13.98/14.29 (assume a7993 (forall ((Z tptp.complex) (H2 tptp.complex) (M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((P4 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex Z) H2)) (@ (@ tptp.minus_minus_nat M) P4))) (@ (@ tptp.power_power_complex Z) P4))) (@ (@ tptp.power_power_complex Z) M)))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex Z) P4)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex Z) H2)) (@ (@ tptp.minus_minus_nat M) P4))) (@ (@ tptp.power_power_complex Z) (@ (@ tptp.minus_minus_nat M) P4)))))) (@ tptp.set_ord_lessThan_nat M)))))
% 13.98/14.29 (assume a7994 (forall ((Z tptp.int) (H2 tptp.int) (M tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((P4 tptp.nat)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ (@ tptp.plus_plus_int Z) H2)) (@ (@ tptp.minus_minus_nat M) P4))) (@ (@ tptp.power_power_int Z) P4))) (@ (@ tptp.power_power_int Z) M)))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int Z) P4)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ (@ tptp.plus_plus_int Z) H2)) (@ (@ tptp.minus_minus_nat M) P4))) (@ (@ tptp.power_power_int Z) (@ (@ tptp.minus_minus_nat M) P4)))))) (@ tptp.set_ord_lessThan_nat M)))))
% 13.98/14.29 (assume a7995 (forall ((Z tptp.real) (H2 tptp.real) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((P4 tptp.nat)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real Z) H2)) (@ (@ tptp.minus_minus_nat M) P4))) (@ (@ tptp.power_power_real Z) P4))) (@ (@ tptp.power_power_real Z) M)))) (@ tptp.set_ord_lessThan_nat M)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real Z) P4)) (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real Z) H2)) (@ (@ tptp.minus_minus_nat M) P4))) (@ (@ tptp.power_power_real Z) (@ (@ tptp.minus_minus_nat M) P4)))))) (@ tptp.set_ord_lessThan_nat M)))))
% 13.98/14.29 (assume a7996 (forall ((X tptp.complex) (N2 tptp.nat) (Y tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex X) (@ tptp.suc N2))) (@ (@ tptp.power_power_complex Y) (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) P4)) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat N2) P4))))) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2)))))))
% 13.98/14.29 (assume a7997 (forall ((X tptp.int) (N2 tptp.nat) (Y tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int X) (@ tptp.suc N2))) (@ (@ tptp.power_power_int Y) (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int X) Y)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int X) P4)) (@ (@ tptp.power_power_int Y) (@ (@ tptp.minus_minus_nat N2) P4))))) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2)))))))
% 13.98/14.29 (assume a7998 (forall ((X tptp.real) (N2 tptp.nat) (Y tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) (@ tptp.suc N2))) (@ (@ tptp.power_power_real Y) (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) P4)) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat N2) P4))))) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2)))))))
% 13.98/14.29 (assume a7999 (forall ((X tptp.complex) (N2 tptp.nat) (Y tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_complex Y) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5)))) (@ (@ tptp.power_power_complex X) I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8000 (forall ((X tptp.int) (N2 tptp.nat) (Y tptp.int)) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int X) N2)) (@ (@ tptp.power_power_int Y) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int X) Y)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int Y) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5)))) (@ (@ tptp.power_power_int X) I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8001 (forall ((X tptp.real) (N2 tptp.nat) (Y tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real Y) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5)))) (@ (@ tptp.power_power_real X) I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8002 (forall ((C tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real C)) tptp.one_one_real) (@ (@ tptp.sums_real (@ tptp.power_power_real C)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.minus_minus_real tptp.one_one_real) C))))))
% 13.98/14.29 (assume a8003 (forall ((C tptp.complex)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex C)) tptp.one_one_real) (@ (@ tptp.sums_complex (@ tptp.power_power_complex C)) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) C))))))
% 13.98/14.29 (assume a8004 (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.suc N)))) tptp.one_one_real))
% 13.98/14.29 (assume a8005 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.code_integer)) (K5 tptp.code_integer) (K tptp.nat)) (=> (forall ((P7 tptp.nat)) (=> (@ (@ tptp.ord_less_nat P7) N2) (@ (@ tptp.ord_le3102999989581377725nteger (@ F P7)) K5))) (=> (@ (@ tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) K5) (@ (@ tptp.ord_le3102999989581377725nteger (@ (@ tptp.groups7501900531339628137nteger F) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) K)))) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) K5))))))
% 13.98/14.29 (assume a8006 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.int)) (K5 tptp.int) (K tptp.nat)) (=> (forall ((P7 tptp.nat)) (=> (@ (@ tptp.ord_less_nat P7) N2) (@ (@ tptp.ord_less_eq_int (@ F P7)) K5))) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K5) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) K)))) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) K5))))))
% 13.98/14.29 (assume a8007 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.nat)) (K5 tptp.nat) (K tptp.nat)) (=> (forall ((P7 tptp.nat)) (=> (@ (@ tptp.ord_less_nat P7) N2) (@ (@ tptp.ord_less_eq_nat (@ F P7)) K5))) (=> (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) K5) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) K)))) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) K5))))))
% 13.98/14.29 (assume a8008 (forall ((N2 tptp.nat) (F (-> tptp.nat tptp.real)) (K5 tptp.real) (K tptp.nat)) (=> (forall ((P7 tptp.nat)) (=> (@ (@ tptp.ord_less_nat P7) N2) (@ (@ tptp.ord_less_eq_real (@ F P7)) K5))) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) K5) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) K)))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) K5))))))
% 13.98/14.29 (assume a8009 (forall ((F (-> tptp.nat tptp.int)) (N2 tptp.nat) (I2 tptp.nat)) (=> (@ tptp.summable_int F) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M5) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F M5)))) (=> (@ (@ tptp.ord_less_eq_nat N2) I2) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F I2)) (@ (@ tptp.ord_less_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_lessThan_nat N2))) (@ tptp.suminf_int F))))))))
% 13.98/14.29 (assume a8010 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat) (I2 tptp.nat)) (=> (@ tptp.summable_nat F) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M5) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F M5)))) (=> (@ (@ tptp.ord_less_eq_nat N2) I2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F I2)) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_lessThan_nat N2))) (@ tptp.suminf_nat F))))))))
% 13.98/14.29 (assume a8011 (forall ((F (-> tptp.nat tptp.real)) (N2 tptp.nat) (I2 tptp.nat)) (=> (@ tptp.summable_real F) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M5) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F M5)))) (=> (@ (@ tptp.ord_less_eq_nat N2) I2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I2)) (@ (@ tptp.ord_less_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat N2))) (@ tptp.suminf_real F))))))))
% 13.98/14.29 (assume a8012 (forall ((X tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.power_power_complex X) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8013 (forall ((X tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_int tptp.one_one_int) (@ (@ tptp.power_power_int X) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int tptp.one_one_int) X)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.power_power_int X) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8014 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real tptp.one_one_real) X)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.power_power_real X) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8015 (forall ((G (-> tptp.nat tptp.real)) (X tptp.real)) (=> (@ (@ tptp.sums_real G) X) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.zero_zero_real) (@ G (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) X))))
% 13.98/14.29 (assume a8016 (forall ((G (-> tptp.nat tptp.real)) (X tptp.real) (F (-> tptp.nat tptp.real)) (Y tptp.real)) (=> (@ (@ tptp.sums_real G) X) (=> (@ (@ tptp.sums_real F) Y) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (@ F (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ G (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.plus_plus_real X) Y))))))
% 13.98/14.29 (assume a8017 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)) (@ F I5)) (@ G I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ F (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)) tptp.one_one_nat)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 13.98/14.29 (assume a8018 (forall ((M tptp.int) (N2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int M) N2) (= (@ (@ tptp.groups4538972089207619220nt_int (lambda ((X2 tptp.int)) X2)) (@ (@ tptp.set_or1266510415728281911st_int M) N2)) (@ (@ tptp.divide_divide_int (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int N2) (@ (@ tptp.plus_plus_int N2) tptp.one_one_int))) (@ (@ tptp.times_times_int M) (@ (@ tptp.minus_minus_int M) tptp.one_one_int)))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 13.98/14.29 (assume a8019 (forall ((F (-> tptp.nat tptp.real)) (K tptp.nat)) (=> (@ tptp.summable_real F) (=> (forall ((D3 tptp.nat)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real (@ F (@ (@ tptp.plus_plus_nat K) (@ (@ tptp.times_times_nat (@ tptp.suc (@ tptp.suc tptp.zero_zero_nat))) D3)))) (@ F (@ (@ tptp.plus_plus_nat K) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.suc (@ tptp.suc tptp.zero_zero_nat))) D3)) tptp.one_one_nat)))))) (@ (@ tptp.ord_less_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_lessThan_nat K))) (@ tptp.suminf_real F))))))
% 13.98/14.29 (assume a8020 (forall ((X8 (-> tptp.nat tptp.real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X8 N4)) (@ X8 (@ tptp.suc N4)))) (@ tptp.topolo6980174941875973593q_real X8))))
% 13.98/14.29 (assume a8021 (forall ((X8 (-> tptp.nat tptp.set_real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_real (@ X8 N4)) (@ X8 (@ tptp.suc N4)))) (@ tptp.topolo2489691266198938127t_real X8))))
% 13.98/14.29 (assume a8022 (forall ((X8 (-> tptp.nat tptp.set_nat))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ X8 N4)) (@ X8 (@ tptp.suc N4)))) (@ tptp.topolo7278393974255667507et_nat X8))))
% 13.98/14.29 (assume a8023 (forall ((X8 (-> tptp.nat tptp.num))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_num (@ X8 N4)) (@ X8 (@ tptp.suc N4)))) (@ tptp.topolo1459490580787246023eq_num X8))))
% 13.98/14.29 (assume a8024 (forall ((X8 (-> tptp.nat tptp.nat))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ X8 N4)) (@ X8 (@ tptp.suc N4)))) (@ tptp.topolo4902158794631467389eq_nat X8))))
% 13.98/14.29 (assume a8025 (forall ((X8 (-> tptp.nat tptp.int))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ X8 N4)) (@ X8 (@ tptp.suc N4)))) (@ tptp.topolo4899668324122417113eq_int X8))))
% 13.98/14.29 (assume a8026 (forall ((X8 (-> tptp.nat tptp.real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X8 (@ tptp.suc N4))) (@ X8 N4))) (@ tptp.topolo6980174941875973593q_real X8))))
% 13.98/14.29 (assume a8027 (forall ((X8 (-> tptp.nat tptp.set_real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_real (@ X8 (@ tptp.suc N4))) (@ X8 N4))) (@ tptp.topolo2489691266198938127t_real X8))))
% 13.98/14.29 (assume a8028 (forall ((X8 (-> tptp.nat tptp.set_nat))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ X8 (@ tptp.suc N4))) (@ X8 N4))) (@ tptp.topolo7278393974255667507et_nat X8))))
% 13.98/14.29 (assume a8029 (forall ((X8 (-> tptp.nat tptp.num))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_num (@ X8 (@ tptp.suc N4))) (@ X8 N4))) (@ tptp.topolo1459490580787246023eq_num X8))))
% 13.98/14.29 (assume a8030 (forall ((X8 (-> tptp.nat tptp.nat))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ X8 (@ tptp.suc N4))) (@ X8 N4))) (@ tptp.topolo4902158794631467389eq_nat X8))))
% 13.98/14.29 (assume a8031 (forall ((X8 (-> tptp.nat tptp.int))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ X8 (@ tptp.suc N4))) (@ X8 N4))) (@ tptp.topolo4899668324122417113eq_int X8))))
% 13.98/14.29 (assume a8032 (= tptp.topolo6980174941875973593q_real (lambda ((X4 (-> tptp.nat tptp.real))) (or (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X4 N)) (@ X4 (@ tptp.suc N)))) (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X4 (@ tptp.suc N))) (@ X4 N)))))))
% 13.98/14.29 (assume a8033 (= tptp.topolo2489691266198938127t_real (lambda ((X4 (-> tptp.nat tptp.set_real))) (or (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_set_real (@ X4 N)) (@ X4 (@ tptp.suc N)))) (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_set_real (@ X4 (@ tptp.suc N))) (@ X4 N)))))))
% 13.98/14.29 (assume a8034 (= tptp.topolo7278393974255667507et_nat (lambda ((X4 (-> tptp.nat tptp.set_nat))) (or (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ X4 N)) (@ X4 (@ tptp.suc N)))) (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_set_nat (@ X4 (@ tptp.suc N))) (@ X4 N)))))))
% 13.98/14.29 (assume a8035 (= tptp.topolo1459490580787246023eq_num (lambda ((X4 (-> tptp.nat tptp.num))) (or (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_num (@ X4 N)) (@ X4 (@ tptp.suc N)))) (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_num (@ X4 (@ tptp.suc N))) (@ X4 N)))))))
% 13.98/14.29 (assume a8036 (= tptp.topolo4902158794631467389eq_nat (lambda ((X4 (-> tptp.nat tptp.nat))) (or (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ X4 N)) (@ X4 (@ tptp.suc N)))) (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ X4 (@ tptp.suc N))) (@ X4 N)))))))
% 13.98/14.29 (assume a8037 (= tptp.topolo4899668324122417113eq_int (lambda ((X4 (-> tptp.nat tptp.int))) (or (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ X4 N)) (@ X4 (@ tptp.suc N)))) (forall ((N tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ X4 (@ tptp.suc N))) (@ X4 N)))))))
% 13.98/14.29 (assume a8038 (forall ((F (-> tptp.nat tptp.nat)) (Mm tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ F (@ tptp.suc K3)))) (@ tptp.set_ord_lessThan_nat Mm)) (@ (@ tptp.groups3542108847815614940at_nat F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) Mm)))))
% 13.98/14.29 (assume a8039 (forall ((F (-> tptp.nat tptp.real)) (Mm tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ F (@ tptp.suc K3)))) (@ tptp.set_ord_lessThan_nat Mm)) (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) Mm)))))
% 13.98/14.29 (assume a8040 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.cos_coeff M6)) (@ (@ tptp.power_power_real tptp.zero_zero_real) M6)))) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) tptp.one_one_real)))
% 13.98/14.29 (assume a8041 (forall ((C (-> tptp.nat tptp.real)) (X tptp.real)) (=> (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.diffs_real C) N)) (@ (@ tptp.power_power_real X) N)))) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N)) (@ C N))) (@ (@ tptp.power_power_real X) (@ (@ tptp.minus_minus_nat N) (@ tptp.suc tptp.zero_zero_nat)))))) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.diffs_real C) N)) (@ (@ tptp.power_power_real X) N))))))))
% 13.98/14.29 (assume a8042 (forall ((C (-> tptp.nat tptp.complex)) (X tptp.complex)) (=> (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.diffs_complex C) N)) (@ (@ tptp.power_power_complex X) N)))) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N)) (@ C N))) (@ (@ tptp.power_power_complex X) (@ (@ tptp.minus_minus_nat N) (@ tptp.suc tptp.zero_zero_nat)))))) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.diffs_complex C) N)) (@ (@ tptp.power_power_complex X) N))))))))
% 13.98/14.29 (assume a8043 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat)))) (@ (@ tptp.power_power_real X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))) (@ tptp.sin_real X))))
% 13.98/14.29 (assume a8044 (= (@ tptp.semiri4449623510593786356d_enat tptp.zero_zero_nat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.29 (assume a8045 (= (@ tptp.semiri5044797733671781792omplex tptp.zero_zero_nat) tptp.one_one_complex))
% 13.98/14.29 (assume a8046 (= (@ tptp.semiri1406184849735516958ct_int tptp.zero_zero_nat) tptp.one_one_int))
% 13.98/14.29 (assume a8047 (= (@ tptp.semiri2265585572941072030t_real tptp.zero_zero_nat) tptp.one_one_real))
% 13.98/14.29 (assume a8048 (= (@ tptp.semiri1408675320244567234ct_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 13.98/14.29 (assume a8049 (= (@ tptp.semiri4449623510593786356d_enat tptp.one_one_nat) tptp.one_on7984719198319812577d_enat))
% 13.98/14.29 (assume a8050 (= (@ tptp.semiri5044797733671781792omplex tptp.one_one_nat) tptp.one_one_complex))
% 13.98/14.29 (assume a8051 (= (@ tptp.semiri1406184849735516958ct_int tptp.one_one_nat) tptp.one_one_int))
% 14.05/14.29 (assume a8052 (= (@ tptp.semiri2265585572941072030t_real tptp.one_one_nat) tptp.one_one_real))
% 14.05/14.29 (assume a8053 (= (@ tptp.semiri1408675320244567234ct_nat tptp.one_one_nat) tptp.one_one_nat))
% 14.05/14.29 (assume a8054 (= (@ tptp.cos_coeff tptp.zero_zero_nat) tptp.one_one_real))
% 14.05/14.29 (assume a8055 (= (@ tptp.semiri4449623510593786356d_enat (@ tptp.suc tptp.zero_zero_nat)) tptp.one_on7984719198319812577d_enat))
% 14.05/14.29 (assume a8056 (= (@ tptp.semiri5044797733671781792omplex (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_complex))
% 14.05/14.29 (assume a8057 (= (@ tptp.semiri1406184849735516958ct_int (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 14.05/14.29 (assume a8058 (= (@ tptp.semiri2265585572941072030t_real (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_real))
% 14.05/14.29 (assume a8059 (= (@ tptp.semiri1408675320244567234ct_nat (@ tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 14.05/14.29 (assume a8060 (forall ((N2 tptp.nat)) (= (@ tptp.semiri1406184849735516958ct_int (@ tptp.suc N2)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N2))) (@ tptp.semiri1406184849735516958ct_int N2)))))
% 14.05/14.29 (assume a8061 (forall ((N2 tptp.nat)) (= (@ tptp.semiri5044797733671781792omplex (@ tptp.suc N2)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc N2))) (@ tptp.semiri5044797733671781792omplex N2)))))
% 14.05/14.29 (assume a8062 (forall ((N2 tptp.nat)) (= (@ tptp.semiri3624122377584611663nteger (@ tptp.suc N2)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger (@ tptp.suc N2))) (@ tptp.semiri3624122377584611663nteger N2)))))
% 14.05/14.29 (assume a8063 (forall ((N2 tptp.nat)) (= (@ tptp.semiri2265585572941072030t_real (@ tptp.suc N2)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N2))) (@ tptp.semiri2265585572941072030t_real N2)))))
% 14.05/14.29 (assume a8064 (forall ((N2 tptp.nat)) (= (@ tptp.semiri1408675320244567234ct_nat (@ tptp.suc N2)) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat (@ tptp.suc N2))) (@ tptp.semiri1408675320244567234ct_nat N2)))))
% 14.05/14.29 (assume a8065 (= (@ tptp.semiri4449623510593786356d_enat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numera1916890842035813515d_enat (@ tptp.bit0 tptp.one))))
% 14.05/14.29 (assume a8066 (= (@ tptp.semiri5044797733671781792omplex (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))
% 14.05/14.29 (assume a8067 (= (@ tptp.semiri1406184849735516958ct_int (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))))
% 14.05/14.29 (assume a8068 (= (@ tptp.semiri2265585572941072030t_real (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))
% 14.05/14.29 (assume a8069 (= (@ tptp.semiri1408675320244567234ct_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))
% 14.05/14.29 (assume a8070 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.semiri1406184849735516958ct_int N2))))
% 14.05/14.29 (assume a8071 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.semiri2265585572941072030t_real N2))))
% 14.05/14.29 (assume a8072 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a8073 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_int (@ tptp.semiri1406184849735516958ct_int N2)) tptp.zero_zero_int))))
% 14.05/14.29 (assume a8074 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_real (@ tptp.semiri2265585572941072030t_real N2)) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8075 (forall ((N2 tptp.nat)) (not (@ (@ tptp.ord_less_nat (@ tptp.semiri1408675320244567234ct_nat N2)) tptp.zero_zero_nat))))
% 14.05/14.29 (assume a8076 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.semiri1406184849735516958ct_int N2))))
% 14.05/14.29 (assume a8077 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.semiri2265585572941072030t_real N2))))
% 14.05/14.29 (assume a8078 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a8079 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.semiri1406184849735516958ct_int N2))))
% 14.05/14.29 (assume a8080 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.semiri2265585572941072030t_real N2))))
% 14.05/14.29 (assume a8081 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a8082 (forall ((K tptp.nat) (N2 tptp.nat)) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri3624122377584611663nteger K)) (@ tptp.semiri3624122377584611663nteger N2))) (@ tptp.semiri3624122377584611663nteger (@ (@ tptp.plus_plus_nat K) N2)))))
% 14.05/14.29 (assume a8083 (forall ((K tptp.nat) (N2 tptp.nat)) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int (@ tptp.semiri1406184849735516958ct_int K)) (@ tptp.semiri1406184849735516958ct_int N2))) (@ tptp.semiri1406184849735516958ct_int (@ (@ tptp.plus_plus_nat K) N2)))))
% 14.05/14.29 (assume a8084 (forall ((K tptp.nat) (N2 tptp.nat)) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real (@ tptp.semiri2265585572941072030t_real K)) (@ tptp.semiri2265585572941072030t_real N2))) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.plus_plus_nat K) N2)))))
% 14.05/14.29 (assume a8085 (forall ((K tptp.nat) (N2 tptp.nat)) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1408675320244567234ct_nat K)) (@ tptp.semiri1408675320244567234ct_nat N2))) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.plus_plus_nat K) N2)))))
% 14.05/14.29 (assume a8086 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1406184849735516958ct_int M)) (@ tptp.semiri1406184849735516958ct_int N2)))))
% 14.05/14.29 (assume a8087 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_real (@ tptp.semiri2265585572941072030t_real M)) (@ tptp.semiri2265585572941072030t_real N2)))))
% 14.05/14.29 (assume a8088 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1408675320244567234ct_nat M)) (@ tptp.semiri1408675320244567234ct_nat N2)))))
% 14.05/14.29 (assume a8089 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_int (@ tptp.semiri1406184849735516958ct_int N2)) (@ tptp.semiri1406184849735516958ct_int M)))))
% 14.05/14.29 (assume a8090 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.semiri3624122377584611663nteger N2)) (@ tptp.semiri3624122377584611663nteger M)))))
% 14.05/14.29 (assume a8091 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_real (@ tptp.semiri2265585572941072030t_real N2)) (@ tptp.semiri2265585572941072030t_real M)))))
% 14.05/14.29 (assume a8092 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (@ (@ tptp.dvd_dvd_nat (@ tptp.semiri1408675320244567234ct_nat N2)) (@ tptp.semiri1408675320244567234ct_nat M)))))
% 14.05/14.29 (assume a8093 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri3624122377584611663nteger K)) (@ tptp.semiri3624122377584611663nteger (@ (@ tptp.minus_minus_nat N2) K)))) (@ tptp.semiri3624122377584611663nteger N2)))))
% 14.05/14.29 (assume a8094 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.times_times_int (@ tptp.semiri1406184849735516958ct_int K)) (@ tptp.semiri1406184849735516958ct_int (@ (@ tptp.minus_minus_nat N2) K)))) (@ tptp.semiri1406184849735516958ct_int N2)))))
% 14.05/14.29 (assume a8095 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ (@ tptp.dvd_dvd_real (@ (@ tptp.times_times_real (@ tptp.semiri2265585572941072030t_real K)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) K)))) (@ tptp.semiri2265585572941072030t_real N2)))))
% 14.05/14.29 (assume a8096 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1408675320244567234ct_nat K)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat N2) K)))) (@ tptp.semiri1408675320244567234ct_nat N2)))))
% 14.05/14.29 (assume a8097 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_int (@ tptp.semiri1406184849735516958ct_int M)) (@ tptp.semiri1406184849735516958ct_int N2))))))
% 14.05/14.29 (assume a8098 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_real (@ tptp.semiri2265585572941072030t_real M)) (@ tptp.semiri2265585572941072030t_real N2))))))
% 14.05/14.29 (assume a8099 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_nat (@ tptp.semiri1408675320244567234ct_nat M)) (@ tptp.semiri1408675320244567234ct_nat N2))))))
% 14.05/14.29 (assume a8100 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.modulo_modulo_int (@ tptp.semiri1406184849735516958ct_int N2)) (@ tptp.semiri1406184849735516958ct_int M)) tptp.zero_zero_int))))
% 14.05/14.29 (assume a8101 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.semiri1408675320244567234ct_nat N2)) (@ tptp.semiri1408675320244567234ct_nat M)) tptp.zero_zero_nat))))
% 14.05/14.29 (assume a8102 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.semiri3624122377584611663nteger N2)) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.power_power_nat N2) N2)))))
% 14.05/14.29 (assume a8103 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1406184849735516958ct_int N2)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.power_power_nat N2) N2)))))
% 14.05/14.29 (assume a8104 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.semiri2265585572941072030t_real N2)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.power_power_nat N2) N2)))))
% 14.05/14.29 (assume a8105 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1408675320244567234ct_nat N2)) (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.power_power_nat N2) N2)))))
% 14.05/14.29 (assume a8106 (= tptp.diffs_real (lambda ((C2 (-> tptp.nat tptp.real)) (N tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N))) (@ C2 (@ tptp.suc N))))))
% 14.05/14.29 (assume a8107 (= tptp.diffs_int (lambda ((C2 (-> tptp.nat tptp.int)) (N tptp.nat)) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int (@ tptp.suc N))) (@ C2 (@ tptp.suc N))))))
% 14.05/14.29 (assume a8108 (= tptp.diffs_complex (lambda ((C2 (-> tptp.nat tptp.complex)) (N tptp.nat)) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc N))) (@ C2 (@ tptp.suc N))))))
% 14.05/14.29 (assume a8109 (= tptp.diffs_Code_integer (lambda ((C2 (-> tptp.nat tptp.code_integer)) (N tptp.nat)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger (@ tptp.suc N))) (@ C2 (@ tptp.suc N))))))
% 14.05/14.29 (assume a8110 (forall ((K tptp.num)) (= (@ tptp.semiri4449623510593786356d_enat (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.numera1916890842035813515d_enat K)) (@ tptp.semiri4449623510593786356d_enat (@ tptp.pred_numeral K))))))
% 14.05/14.29 (assume a8111 (forall ((K tptp.num)) (= (@ tptp.semiri5044797733671781792omplex (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex K)) (@ tptp.semiri5044797733671781792omplex (@ tptp.pred_numeral K))))))
% 14.05/14.29 (assume a8112 (forall ((K tptp.num)) (= (@ tptp.semiri1406184849735516958ct_int (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int K)) (@ tptp.semiri1406184849735516958ct_int (@ tptp.pred_numeral K))))))
% 14.05/14.29 (assume a8113 (forall ((K tptp.num)) (= (@ tptp.semiri2265585572941072030t_real (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real K)) (@ tptp.semiri2265585572941072030t_real (@ tptp.pred_numeral K))))))
% 14.05/14.29 (assume a8114 (forall ((K tptp.num)) (= (@ tptp.semiri1408675320244567234ct_nat (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.semiri1408675320244567234ct_nat (@ tptp.pred_numeral K))))))
% 14.05/14.29 (assume a8115 (forall ((C (-> tptp.nat tptp.complex)) (X tptp.complex)) (=> (forall ((X5 tptp.complex)) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ C N)) (@ (@ tptp.power_power_complex X5) N))))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.diffs_complex C) N)) (@ (@ tptp.power_power_complex X) N)))))))
% 14.05/14.29 (assume a8116 (forall ((C (-> tptp.nat tptp.real)) (X tptp.real)) (=> (forall ((X5 tptp.real)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ C N)) (@ (@ tptp.power_power_real X5) N))))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.diffs_real C) N)) (@ (@ tptp.power_power_real X) N)))))))
% 14.05/14.29 (assume a8117 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.semiri2265585572941072030t_real N2)) (@ tptp.semiri2265585572941072030t_real N2))) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8118 (= tptp.cos_coeff (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri2265585572941072030t_real N))) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8119 (= tptp.semiri4449623510593786356d_enat (lambda ((M6 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= M6 tptp.zero_zero_nat)) tptp.one_on7984719198319812577d_enat) (@ (@ tptp.times_7803423173614009249d_enat (@ tptp.semiri4216267220026989637d_enat M6)) (@ tptp.semiri4449623510593786356d_enat (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8120 (= tptp.semiri1406184849735516958ct_int (lambda ((M6 tptp.nat)) (@ (@ (@ tptp.if_int (= M6 tptp.zero_zero_nat)) tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int M6)) (@ tptp.semiri1406184849735516958ct_int (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8121 (= tptp.semiri5044797733671781792omplex (lambda ((M6 tptp.nat)) (@ (@ (@ tptp.if_complex (= M6 tptp.zero_zero_nat)) tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex M6)) (@ tptp.semiri5044797733671781792omplex (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8122 (= tptp.semiri3624122377584611663nteger (lambda ((M6 tptp.nat)) (@ (@ (@ tptp.if_Code_integer (= M6 tptp.zero_zero_nat)) tptp.one_one_Code_integer) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger M6)) (@ tptp.semiri3624122377584611663nteger (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8123 (= tptp.semiri2265585572941072030t_real (lambda ((M6 tptp.nat)) (@ (@ (@ tptp.if_real (= M6 tptp.zero_zero_nat)) tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real M6)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8124 (= tptp.semiri1408675320244567234ct_nat (lambda ((M6 tptp.nat)) (@ (@ (@ tptp.if_nat (= M6 tptp.zero_zero_nat)) tptp.one_one_nat) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat M6)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat M6) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8125 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.semiri1406184849735516958ct_int N2) (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int N2)) (@ tptp.semiri1406184849735516958ct_int (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8126 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.semiri5044797733671781792omplex N2) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex N2)) (@ tptp.semiri5044797733671781792omplex (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8127 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.semiri3624122377584611663nteger N2) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger N2)) (@ tptp.semiri3624122377584611663nteger (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8128 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.semiri2265585572941072030t_real N2) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8129 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.semiri1408675320244567234ct_nat N2) (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat N2)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8130 (forall ((X tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.extended_enat tptp.real))) (=> (= X tptp.zero_zero_real) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_z5237406670263579293d_enat)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ Diff tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat))))))
% 14.05/14.29 (assume a8131 (forall ((X tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.complex tptp.real))) (=> (= X tptp.zero_zero_real) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_complex)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ Diff tptp.zero_zero_nat) tptp.zero_zero_complex))))))
% 14.05/14.29 (assume a8132 (forall ((X tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.real tptp.real))) (=> (= X tptp.zero_zero_real) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ Diff tptp.zero_zero_nat) tptp.zero_zero_real))))))
% 14.05/14.29 (assume a8133 (forall ((X tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.nat tptp.real))) (=> (= X tptp.zero_zero_real) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_nat)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ Diff tptp.zero_zero_nat) tptp.zero_zero_nat))))))
% 14.05/14.29 (assume a8134 (forall ((X tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.int tptp.real))) (=> (= X tptp.zero_zero_real) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_int)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ Diff tptp.zero_zero_nat) tptp.zero_zero_int))))))
% 14.05/14.29 (assume a8135 (forall ((H2 tptp.real) (F (-> tptp.real tptp.real)) (J (-> tptp.nat tptp.real)) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H2) (exists ((B8 tptp.real)) (= (@ F H2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ J M6)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real H2) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real B8) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real H2) N2)) (@ tptp.semiri2265585572941072030t_real N2)))))))))
% 14.05/14.29 (assume a8136 (forall ((X tptp.real) (K5 tptp.real) (C (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real X)) K5) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V7735802525324610683m_real X5)) K5) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ C N)) (@ (@ tptp.power_power_real X5) N)))))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.diffs_real C) N)) (@ (@ tptp.power_power_real X) N))))))))
% 14.05/14.29 (assume a8137 (forall ((X tptp.complex) (K5 tptp.real) (C (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X)) K5) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.ord_less_real (@ tptp.real_V1022390504157884413omplex X5)) K5) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ C N)) (@ (@ tptp.power_power_complex X5) N)))))) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.diffs_complex C) N)) (@ (@ tptp.power_power_complex X) N))))))))
% 14.05/14.29 (assume a8138 (forall ((X tptp.real) (N2 tptp.nat)) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ tptp.exp_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real X) M6)) (@ tptp.semiri2265585572941072030t_real M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.exp_real T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))
% 14.05/14.29 (assume a8139 (forall ((X tptp.real) (N2 tptp.nat)) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ tptp.cos_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.cos_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.cos_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))
% 14.05/14.29 (assume a8140 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_real T4) X) (= (@ tptp.cos_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.cos_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.cos_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))
% 14.05/14.29 (assume a8141 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real X) T4) (@ (@ tptp.ord_less_real T4) tptp.zero_zero_real) (= (@ tptp.cos_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.cos_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.cos_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))
% 14.05/14.29 (assume a8142 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))) (@ (@ tptp.power_power_real X) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))))) (@ tptp.cos_real X))))
% 14.05/14.29 (assume a8143 (forall ((X tptp.real) (N2 tptp.nat)) (=> (not (= X tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.abs_abs_real T4)) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ tptp.exp_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real X) M6)) (@ tptp.semiri2265585572941072030t_real M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.exp_real T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))
% 14.05/14.29 (assume a8144 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_real T4) X) (= (@ tptp.sin_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.sin_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))
% 14.05/14.29 (assume a8145 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) X) (= (@ tptp.sin_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.sin_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2)))))))))
% 14.05/14.29 (assume a8146 (forall ((X tptp.real) (N2 tptp.nat)) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ tptp.sin_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.sin_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))
% 14.05/14.29 (assume a8147 (forall ((X tptp.real) (N2 tptp.nat)) (exists ((T4 tptp.real)) (= (@ tptp.sin_real X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.sin_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.sin_real (@ (@ tptp.plus_plus_real T4) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real N2))) tptp.pi)))) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2)))))))
% 14.05/14.29 (assume a8148 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.ord_less_eq_nat (@ tptp.semiri1408675320244567234ct_nat M)) (@ tptp.semiri1408675320244567234ct_nat N2)))))
% 14.05/14.29 (assume a8149 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat N2) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a8150 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_nat M) N2) (@ (@ tptp.ord_less_nat (@ tptp.semiri1408675320244567234ct_nat M)) (@ tptp.semiri1408675320244567234ct_nat N2))))))
% 14.05/14.29 (assume a8151 (forall ((N2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a8152 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) M) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.dvd_dvd_nat M) (@ tptp.semiri1408675320244567234ct_nat N2))))))
% 14.05/14.29 (assume a8153 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ tptp.suc M)) (= (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat (@ tptp.suc M)) N2)) (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat (@ tptp.suc M)) N2)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat M) N2)))))))
% 14.05/14.29 (assume a8154 (forall ((R tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat R) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.divide_divide_nat (@ tptp.semiri1408675320244567234ct_nat N2)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat N2) R)))) (@ (@ tptp.power_power_nat N2) R)))))
% 14.05/14.29 (assume a8155 (forall ((N2 tptp.nat)) (= (@ tptp.sin_coeff (@ tptp.suc N2)) (@ (@ tptp.divide_divide_real (@ tptp.cos_coeff N2)) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8156 (forall ((N2 tptp.nat)) (= (@ tptp.cos_coeff (@ tptp.suc N2)) (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real (@ tptp.sin_coeff N2))) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8157 (= tptp.sin_coeff (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.zero_zero_real) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat N) (@ tptp.suc tptp.zero_zero_nat))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri2265585572941072030t_real N))))))
% 14.05/14.29 (assume a8158 (forall ((B tptp.nat) (K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.log (@ tptp.semiri5074537144036343181t_real B)) (@ tptp.semiri5074537144036343181t_real K))) (@ tptp.semiri1314217659103216013at_int N2)) (and (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) N2)) K) (@ (@ tptp.ord_less_nat K) (@ (@ tptp.power_power_nat B) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)))))))))
% 14.05/14.29 (assume a8159 (forall ((Z tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) Z)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.comm_s7457072308508201937r_real Z) N2))) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real Z) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) N2)))))
% 14.05/14.29 (assume a8160 (forall ((Z tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) Z)) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.comm_s2602460028002588243omplex Z) N2))) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex Z) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))) N2)))))
% 14.05/14.29 (assume a8161 (= tptp.semiri4216267220026989637d_enat (lambda ((N tptp.nat)) (@ (@ (@ tptp.semiri8563196900006977889d_enat (lambda ((I5 tptp.extended_enat)) (@ (@ tptp.plus_p3455044024723400733d_enat I5) tptp.one_on7984719198319812577d_enat))) N) tptp.zero_z5237406670263579293d_enat))))
% 14.05/14.29 (assume a8162 (= tptp.semiri5074537144036343181t_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.semiri7260567687927622513x_real (lambda ((I5 tptp.real)) (@ (@ tptp.plus_plus_real I5) tptp.one_one_real))) N) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8163 (= tptp.semiri1314217659103216013at_int (lambda ((N tptp.nat)) (@ (@ (@ tptp.semiri8420488043553186161ux_int (lambda ((I5 tptp.int)) (@ (@ tptp.plus_plus_int I5) tptp.one_one_int))) N) tptp.zero_zero_int))))
% 14.05/14.29 (assume a8164 (= tptp.semiri1316708129612266289at_nat (lambda ((N tptp.nat)) (@ (@ (@ tptp.semiri8422978514062236437ux_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat I5) tptp.one_one_nat))) N) tptp.zero_zero_nat))))
% 14.05/14.29 (assume a8165 (= tptp.semiri8010041392384452111omplex (lambda ((N tptp.nat)) (@ (@ (@ tptp.semiri2816024913162550771omplex (lambda ((I5 tptp.complex)) (@ (@ tptp.plus_plus_complex I5) tptp.one_one_complex))) N) tptp.zero_zero_complex))))
% 14.05/14.29 (assume a8166 (= tptp.semiri4939895301339042750nteger (lambda ((N tptp.nat)) (@ (@ (@ tptp.semiri4055485073559036834nteger (lambda ((I5 tptp.code_integer)) (@ (@ tptp.plus_p5714425477246183910nteger I5) tptp.one_one_Code_integer))) N) tptp.zero_z3403309356797280102nteger))))
% 14.05/14.29 (assume a8167 (forall ((R tptp.complex) (M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex R) K3)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex R) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) (@ tptp.semiri8010041392384452111omplex K3))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) M)) (@ (@ tptp.times_times_complex (@ (@ tptp.divide1717551699836669952omplex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc M))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) (@ (@ tptp.gbinomial_complex R) (@ tptp.suc M))))))
% 14.05/14.29 (assume a8168 (forall ((R tptp.real) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real R) K3)) (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real R) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real K3))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) M)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc M))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.gbinomial_real R) (@ tptp.suc M))))))
% 14.05/14.29 (assume a8169 (forall ((X tptp.real)) (= (= (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real X)) X) (exists ((N tptp.int)) (= X (@ tptp.ring_1_of_int_real N))))))
% 14.05/14.29 (assume a8170 (forall ((K tptp.nat)) (= (@ (@ tptp.gbinomial_complex tptp.zero_zero_complex) (@ tptp.suc K)) tptp.zero_zero_complex)))
% 14.05/14.29 (assume a8171 (forall ((K tptp.nat)) (= (@ (@ tptp.gbinomial_real tptp.zero_zero_real) (@ tptp.suc K)) tptp.zero_zero_real)))
% 14.05/14.29 (assume a8172 (forall ((K tptp.nat)) (= (@ (@ tptp.gbinomial_nat tptp.zero_zero_nat) (@ tptp.suc K)) tptp.zero_zero_nat)))
% 14.05/14.29 (assume a8173 (forall ((K tptp.nat)) (= (@ (@ tptp.gbinomial_int tptp.zero_zero_int) (@ tptp.suc K)) tptp.zero_zero_int)))
% 14.05/14.29 (assume a8174 (forall ((V tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ tptp.numeral_numeral_real V)) (@ tptp.numeral_numeral_int V))))
% 14.05/14.29 (assume a8175 (forall ((A tptp.complex)) (= (@ (@ tptp.gbinomial_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 14.05/14.29 (assume a8176 (forall ((A tptp.real)) (= (@ (@ tptp.gbinomial_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 14.05/14.29 (assume a8177 (forall ((A tptp.nat)) (= (@ (@ tptp.gbinomial_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 14.05/14.29 (assume a8178 (forall ((A tptp.int)) (= (@ (@ tptp.gbinomial_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 14.05/14.29 (assume a8179 (= (@ tptp.archim6058952711729229775r_real tptp.one_one_real) tptp.one_one_int))
% 14.05/14.29 (assume a8180 (forall ((A tptp.extended_enat)) (= (@ (@ tptp.comm_s3181272606743183617d_enat A) tptp.zero_zero_nat) tptp.one_on7984719198319812577d_enat)))
% 14.05/14.29 (assume a8181 (forall ((A tptp.complex)) (= (@ (@ tptp.comm_s2602460028002588243omplex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 14.05/14.29 (assume a8182 (forall ((A tptp.real)) (= (@ (@ tptp.comm_s7457072308508201937r_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 14.05/14.29 (assume a8183 (forall ((A tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 14.05/14.29 (assume a8184 (forall ((A tptp.int)) (= (@ (@ tptp.comm_s4660882817536571857er_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 14.05/14.29 (assume a8185 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 14.05/14.29 (assume a8186 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.archim6058952711729229775r_real X)) tptp.zero_zero_int) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8187 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int V)) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real V)) X))))
% 14.05/14.29 (assume a8188 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X))))
% 14.05/14.29 (assume a8189 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim6058952711729229775r_real X)) tptp.zero_zero_int) (@ (@ tptp.ord_less_real X) tptp.one_one_real))))
% 14.05/14.29 (assume a8190 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.numeral_numeral_int V)) (@ (@ tptp.ord_less_real X) (@ tptp.numeral_numeral_real V)))))
% 14.05/14.29 (assume a8191 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X))))
% 14.05/14.29 (assume a8192 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.archim6058952711729229775r_real X)) tptp.one_one_int) (@ (@ tptp.ord_less_real X) tptp.one_one_real))))
% 14.05/14.29 (assume a8193 (forall ((V tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V)))))
% 14.05/14.29 (assume a8194 (forall ((X tptp.real) (V tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.minus_minus_real X) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.minus_minus_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.numeral_numeral_int V)))))
% 14.05/14.29 (assume a8195 (forall ((X tptp.real)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.minus_minus_real X) tptp.one_one_real)) (@ (@ tptp.minus_minus_int (@ tptp.archim6058952711729229775r_real X)) tptp.one_one_int))))
% 14.05/14.29 (assume a8196 (forall ((X tptp.num) (N2 tptp.nat)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real X)) N2)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2))))
% 14.05/14.29 (assume a8197 (forall ((A tptp.num) (B tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real A)) (@ tptp.numeral_numeral_real B))) (@ (@ tptp.divide_divide_int (@ tptp.numeral_numeral_int A)) (@ tptp.numeral_numeral_int B)))))
% 14.05/14.29 (assume a8198 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.numeral_numeral_int V)) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real V)) tptp.one_one_real)) X))))
% 14.05/14.29 (assume a8199 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.numeral_numeral_int V)) (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.numeral_numeral_real V)) tptp.one_one_real)))))
% 14.05/14.29 (assume a8200 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_int tptp.one_one_int) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X))))
% 14.05/14.29 (assume a8201 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim6058952711729229775r_real X)) tptp.one_one_int) (@ (@ tptp.ord_less_real X) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a8202 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) X))))
% 14.05/14.29 (assume a8203 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.ord_less_real X) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))))))
% 14.05/14.29 (assume a8204 (forall ((B tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real B))) (@ (@ tptp.divide_divide_int tptp.one_one_int) (@ tptp.numeral_numeral_int B)))))
% 14.05/14.29 (assume a8205 (forall ((A tptp.num) (B tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real A)) (@ tptp.numeral_numeral_real B)))) (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int A))) (@ tptp.numeral_numeral_int B)))))
% 14.05/14.29 (assume a8206 (forall ((V tptp.num) (X tptp.real)) (= (@ (@ tptp.ord_less_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) tptp.one_one_real)) X))))
% 14.05/14.29 (assume a8207 (forall ((X tptp.real) (V tptp.num)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int V))) (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real V))) tptp.one_one_real)))))
% 14.05/14.29 (assume a8208 (forall ((B tptp.num)) (= (@ tptp.archim6058952711729229775r_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real B)))) (@ (@ tptp.divide_divide_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int B)))))
% 14.05/14.29 (assume a8209 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.archim6058952711729229775r_real Y)))))
% 14.05/14.29 (assume a8210 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real X))) X)))
% 14.05/14.29 (assume a8211 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.archim6058952711729229775r_real Y)) (@ (@ tptp.ord_less_real X) Y))))
% 14.05/14.29 (assume a8212 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.comm_s7457072308508201937r_real X) N2)))))
% 14.05/14.29 (assume a8213 (forall ((X tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.comm_s4663373288045622133er_nat X) N2)))))
% 14.05/14.29 (assume a8214 (forall ((X tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) X) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.comm_s4660882817536571857er_int X) N2)))))
% 14.05/14.29 (assume a8215 (forall ((A tptp.complex) (N2 tptp.nat) (M tptp.nat)) (=> (= (@ (@ tptp.comm_s2602460028002588243omplex A) N2) tptp.zero_zero_complex) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.comm_s2602460028002588243omplex A) M) tptp.zero_zero_complex)))))
% 14.05/14.29 (assume a8216 (forall ((A tptp.real) (N2 tptp.nat) (M tptp.nat)) (=> (= (@ (@ tptp.comm_s7457072308508201937r_real A) N2) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a8217 (forall ((A tptp.complex) (M tptp.nat) (N2 tptp.nat)) (=> (not (= (@ (@ tptp.comm_s2602460028002588243omplex A) M) tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (not (= (@ (@ tptp.comm_s2602460028002588243omplex A) N2) tptp.zero_zero_complex))))))
% 14.05/14.29 (assume a8218 (forall ((A tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (not (= (@ (@ tptp.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (not (= (@ (@ tptp.comm_s7457072308508201937r_real A) N2) tptp.zero_zero_real))))))
% 14.05/14.29 (assume a8219 (= tptp.semiri4449623510593786356d_enat (@ tptp.comm_s3181272606743183617d_enat tptp.one_on7984719198319812577d_enat)))
% 14.05/14.29 (assume a8220 (= tptp.semiri5044797733671781792omplex (@ tptp.comm_s2602460028002588243omplex tptp.one_one_complex)))
% 14.05/14.29 (assume a8221 (= tptp.semiri1406184849735516958ct_int (@ tptp.comm_s4660882817536571857er_int tptp.one_one_int)))
% 14.05/14.29 (assume a8222 (= tptp.semiri2265585572941072030t_real (@ tptp.comm_s7457072308508201937r_real tptp.one_one_real)))
% 14.05/14.29 (assume a8223 (= tptp.semiri1408675320244567234ct_nat (@ tptp.comm_s4663373288045622133er_nat tptp.one_one_nat)))
% 14.05/14.29 (assume a8224 (forall ((Z tptp.int) (X tptp.real)) (= (@ (@ tptp.ord_less_eq_int Z) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z)) X))))
% 14.05/14.29 (assume a8225 (forall ((X tptp.real) (Z tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.archim6058952711729229775r_real X)) Z) (@ (@ tptp.ord_less_real X) (@ tptp.ring_1_of_int_real Z)))))
% 14.05/14.29 (assume a8226 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.archim6058952711729229775r_real Y))) (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real X) Y)))))
% 14.05/14.29 (assume a8227 (forall ((X tptp.real) (Z tptp.int)) (= (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real X)) Z) (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real X) (@ tptp.ring_1_of_int_real Z))))))
% 14.05/14.29 (assume a8228 (forall ((Z tptp.int) (X tptp.real)) (= (@ (@ tptp.plus_plus_int Z) (@ tptp.archim6058952711729229775r_real X)) (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real Z)) X)))))
% 14.05/14.29 (assume a8229 (forall ((K tptp.int) (L2 tptp.int)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real K)) (@ tptp.ring_1_of_int_real L2))) (@ (@ tptp.divide_divide_int K) L2))))
% 14.05/14.29 (assume a8230 (= tptp.gbinomial_complex (lambda ((A4 tptp.complex) (K3 tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K3)) (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex A4)) K3))) (@ tptp.semiri5044797733671781792omplex K3)))))
% 14.05/14.29 (assume a8231 (= tptp.gbinomial_real (lambda ((A4 tptp.real) (K3 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real A4)) K3))) (@ tptp.semiri2265585572941072030t_real K3)))))
% 14.05/14.29 (assume a8232 (= tptp.gbinomial_complex (lambda ((A4 tptp.complex) (K3 tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex A4) (@ tptp.semiri8010041392384452111omplex K3))) tptp.one_one_complex)) K3)) (@ tptp.semiri5044797733671781792omplex K3)))))
% 14.05/14.29 (assume a8233 (= tptp.gbinomial_real (lambda ((A4 tptp.real) (K3 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real A4) (@ tptp.semiri5074537144036343181t_real K3))) tptp.one_one_real)) K3)) (@ tptp.semiri2265585572941072030t_real K3)))))
% 14.05/14.29 (assume a8234 (forall ((X tptp.real) (N2 tptp.nat)) (=> (= X (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real X))) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_int (@ tptp.archim6058952711729229775r_real X)) N2)))))
% 14.05/14.29 (assume a8235 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ tptp.suc K)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.gbinomial_complex A) K)) (@ (@ tptp.gbinomial_complex A) (@ tptp.suc K))))))
% 14.05/14.29 (assume a8236 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ tptp.suc K)) (@ (@ tptp.plus_plus_real (@ (@ tptp.gbinomial_real A) K)) (@ (@ tptp.gbinomial_real A) (@ tptp.suc K))))))
% 14.05/14.29 (assume a8237 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.gbinomial_real (@ tptp.semiri5074537144036343181t_real N2)) K) (@ (@ tptp.gbinomial_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.minus_minus_nat N2) K))))))
% 14.05/14.29 (assume a8238 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.gbinomial_complex (@ tptp.semiri8010041392384452111omplex N2)) K) (@ (@ tptp.gbinomial_complex (@ tptp.semiri8010041392384452111omplex N2)) (@ (@ tptp.minus_minus_nat N2) K))))))
% 14.05/14.29 (assume a8239 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.comm_s7457072308508201937r_real X) N2)))))
% 14.05/14.29 (assume a8240 (forall ((X tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) X) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.comm_s4663373288045622133er_nat X) N2)))))
% 14.05/14.29 (assume a8241 (forall ((X tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) X) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.comm_s4660882817536571857er_int X) N2)))))
% 14.05/14.29 (assume a8242 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.comm_s3181272606743183617d_enat tptp.zero_z5237406670263579293d_enat) N2) tptp.one_on7984719198319812577d_enat)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.comm_s3181272606743183617d_enat tptp.zero_z5237406670263579293d_enat) N2) tptp.zero_z5237406670263579293d_enat)))))
% 14.05/14.29 (assume a8243 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.comm_s2602460028002588243omplex tptp.zero_zero_complex) N2) tptp.one_one_complex)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex tptp.zero_zero_complex) N2) tptp.zero_zero_complex)))))
% 14.05/14.29 (assume a8244 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.comm_s7457072308508201937r_real tptp.zero_zero_real) N2) tptp.one_one_real)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real tptp.zero_zero_real) N2) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a8245 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.comm_s4663373288045622133er_nat tptp.zero_zero_nat) N2) tptp.one_one_nat)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat tptp.zero_zero_nat) N2) tptp.zero_zero_nat)))))
% 14.05/14.29 (assume a8246 (forall ((N2 tptp.nat)) (and (=> (= N2 tptp.zero_zero_nat) (= (@ (@ tptp.comm_s4660882817536571857er_int tptp.zero_zero_int) N2) tptp.one_one_int)) (=> (not (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int tptp.zero_zero_int) N2) tptp.zero_zero_int)))))
% 14.05/14.29 (assume a8247 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real X)) tptp.one_one_int) (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)))))
% 14.05/14.29 (assume a8248 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real M)) (@ tptp.semiri5074537144036343181t_real N2))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat M) N2)))))
% 14.05/14.29 (assume a8249 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.gbinomial_complex A) (@ tptp.suc K)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) (@ tptp.suc K))) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 14.05/14.29 (assume a8250 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.gbinomial_real A) (@ tptp.suc K)) (@ (@ tptp.plus_plus_real (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) (@ tptp.suc K))) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 14.05/14.29 (assume a8251 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A) (@ tptp.semiri5074537144036343181t_real K))) (@ (@ tptp.gbinomial_real A) K)) (@ (@ tptp.times_times_real A) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 14.05/14.29 (assume a8252 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex A) (@ tptp.semiri8010041392384452111omplex K))) (@ (@ tptp.gbinomial_complex A) K)) (@ (@ tptp.times_times_complex A) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 14.05/14.29 (assume a8253 (forall ((K tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real K)) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real A) (@ tptp.semiri5074537144036343181t_real K))) K)) (@ (@ tptp.gbinomial_real A) K)))))
% 14.05/14.29 (assume a8254 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.times_times_real A) (@ (@ tptp.gbinomial_real A) K)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real K)) (@ (@ tptp.gbinomial_real A) K))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc K))) (@ (@ tptp.gbinomial_real A) (@ tptp.suc K)))))))
% 14.05/14.29 (assume a8255 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.times_times_complex A) (@ (@ tptp.gbinomial_complex A) K)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex K)) (@ (@ tptp.gbinomial_complex A) K))) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc K))) (@ (@ tptp.gbinomial_complex A) (@ tptp.suc K)))))))
% 14.05/14.29 (assume a8256 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real A) K)) A) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real K)) (@ (@ tptp.gbinomial_real A) K))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc K))) (@ (@ tptp.gbinomial_real A) (@ tptp.suc K)))))))
% 14.05/14.29 (assume a8257 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex A) K)) A) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex K)) (@ (@ tptp.gbinomial_complex A) K))) (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc K))) (@ (@ tptp.gbinomial_complex A) (@ tptp.suc K)))))))
% 14.05/14.29 (assume a8258 (forall ((N2 tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.ring_1_of_int_real N2)) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real N2)) tptp.one_one_real)) (= (@ tptp.archim6058952711729229775r_real X) N2)))))
% 14.05/14.29 (assume a8259 (forall ((R tptp.real)) (@ (@ tptp.ord_less_real R) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real R))) tptp.one_one_real))))
% 14.05/14.29 (assume a8260 (forall ((R tptp.real)) (@ (@ tptp.ord_less_eq_real R) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real R))) tptp.one_one_real))))
% 14.05/14.29 (assume a8261 (forall ((R tptp.real)) (@ (@ tptp.ord_less_real (@ (@ tptp.minus_minus_real R) tptp.one_one_real)) (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real R)))))
% 14.05/14.29 (assume a8262 (forall ((R tptp.real)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.minus_minus_real R) tptp.one_one_real)) (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real R)))))
% 14.05/14.29 (assume a8263 (forall ((A tptp.extended_enat) (N2 tptp.nat)) (= (@ (@ tptp.comm_s3181272606743183617d_enat A) (@ tptp.suc N2)) (@ (@ tptp.times_7803423173614009249d_enat A) (@ (@ tptp.comm_s3181272606743183617d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A) tptp.one_on7984719198319812577d_enat)) N2)))))
% 14.05/14.29 (assume a8264 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex A) (@ tptp.suc N2)) (@ (@ tptp.times_times_complex A) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) N2)))))
% 14.05/14.29 (assume a8265 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real A) (@ tptp.suc N2)) (@ (@ tptp.times_times_real A) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) N2)))))
% 14.05/14.29 (assume a8266 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat A) (@ tptp.suc N2)) (@ (@ tptp.times_times_nat A) (@ (@ tptp.comm_s4663373288045622133er_nat (@ (@ tptp.plus_plus_nat A) tptp.one_one_nat)) N2)))))
% 14.05/14.29 (assume a8267 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int A) (@ tptp.suc N2)) (@ (@ tptp.times_times_int A) (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int A) tptp.one_one_int)) N2)))))
% 14.05/14.29 (assume a8268 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real A) (@ tptp.suc N2)) (@ (@ tptp.times_times_real (@ (@ tptp.comm_s7457072308508201937r_real A) N2)) (@ (@ tptp.plus_plus_real A) (@ tptp.semiri5074537144036343181t_real N2))))))
% 14.05/14.29 (assume a8269 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int A) (@ tptp.suc N2)) (@ (@ tptp.times_times_int (@ (@ tptp.comm_s4660882817536571857er_int A) N2)) (@ (@ tptp.plus_plus_int A) (@ tptp.semiri1314217659103216013at_int N2))))))
% 14.05/14.29 (assume a8270 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat A) (@ tptp.suc N2)) (@ (@ tptp.times_times_nat (@ (@ tptp.comm_s4663373288045622133er_nat A) N2)) (@ (@ tptp.plus_plus_nat A) (@ tptp.semiri1316708129612266289at_nat N2))))))
% 14.05/14.29 (assume a8271 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex A) (@ tptp.suc N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.comm_s2602460028002588243omplex A) N2)) (@ (@ tptp.plus_plus_complex A) (@ tptp.semiri8010041392384452111omplex N2))))))
% 14.05/14.29 (assume a8272 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger A) (@ tptp.suc N2)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.comm_s8582702949713902594nteger A) N2)) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ tptp.semiri4939895301339042750nteger N2))))))
% 14.05/14.29 (assume a8273 (forall ((Z tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real Z) (@ tptp.suc N2)) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real Z) (@ tptp.semiri5074537144036343181t_real N2))) (@ (@ tptp.comm_s7457072308508201937r_real Z) N2)))))
% 14.05/14.29 (assume a8274 (forall ((Z tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int Z) (@ tptp.suc N2)) (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int Z) (@ tptp.semiri1314217659103216013at_int N2))) (@ (@ tptp.comm_s4660882817536571857er_int Z) N2)))))
% 14.05/14.29 (assume a8275 (forall ((Z tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat Z) (@ tptp.suc N2)) (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat Z) (@ tptp.semiri1316708129612266289at_nat N2))) (@ (@ tptp.comm_s4663373288045622133er_nat Z) N2)))))
% 14.05/14.29 (assume a8276 (forall ((Z tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex Z) (@ tptp.suc N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex Z) (@ tptp.semiri8010041392384452111omplex N2))) (@ (@ tptp.comm_s2602460028002588243omplex Z) N2)))))
% 14.05/14.29 (assume a8277 (forall ((Z tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger Z) (@ tptp.suc N2)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger Z) (@ tptp.semiri4939895301339042750nteger N2))) (@ (@ tptp.comm_s8582702949713902594nteger Z) N2)))))
% 14.05/14.29 (assume a8278 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) K) (= (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) K) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8279 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) K) (= (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N2))) K) tptp.zero_zero_int))))
% 14.05/14.29 (assume a8280 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) K) (= (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex N2))) K) tptp.zero_zero_complex))))
% 14.05/14.29 (assume a8281 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) K) (= (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.semiri4939895301339042750nteger N2))) K) tptp.zero_z3403309356797280102nteger))))
% 14.05/14.29 (assume a8282 (forall ((N2 tptp.nat) (K tptp.nat)) (= (= (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) K) tptp.zero_zero_real) (@ (@ tptp.ord_less_nat N2) K))))
% 14.05/14.29 (assume a8283 (forall ((N2 tptp.nat) (K tptp.nat)) (= (= (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N2))) K) tptp.zero_zero_int) (@ (@ tptp.ord_less_nat N2) K))))
% 14.05/14.29 (assume a8284 (forall ((N2 tptp.nat) (K tptp.nat)) (= (= (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex N2))) K) tptp.zero_zero_complex) (@ (@ tptp.ord_less_nat N2) K))))
% 14.05/14.29 (assume a8285 (forall ((N2 tptp.nat) (K tptp.nat)) (= (= (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.semiri4939895301339042750nteger N2))) K) tptp.zero_z3403309356797280102nteger) (@ (@ tptp.ord_less_nat N2) K))))
% 14.05/14.29 (assume a8286 (forall ((A tptp.real) (N2 tptp.nat)) (= (= (@ (@ tptp.comm_s7457072308508201937r_real A) N2) tptp.zero_zero_real) (exists ((K3 tptp.nat)) (and (@ (@ tptp.ord_less_nat K3) N2) (= A (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real K3))))))))
% 14.05/14.29 (assume a8287 (forall ((A tptp.complex) (N2 tptp.nat)) (= (= (@ (@ tptp.comm_s2602460028002588243omplex A) N2) tptp.zero_zero_complex) (exists ((K3 tptp.nat)) (and (@ (@ tptp.ord_less_nat K3) N2) (= A (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex K3))))))))
% 14.05/14.29 (assume a8288 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (not (= (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) K) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a8289 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (not (= (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N2))) K) tptp.zero_zero_int)))))
% 14.05/14.29 (assume a8290 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (not (= (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex N2))) K) tptp.zero_zero_complex)))))
% 14.05/14.29 (assume a8291 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (not (= (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.semiri4939895301339042750nteger N2))) K) tptp.zero_z3403309356797280102nteger)))))
% 14.05/14.29 (assume a8292 (forall ((Z tptp.real) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real Z) (@ (@ tptp.plus_plus_nat N2) M)) (@ (@ tptp.times_times_real (@ (@ tptp.comm_s7457072308508201937r_real Z) N2)) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real Z) (@ tptp.semiri5074537144036343181t_real N2))) M)))))
% 14.05/14.29 (assume a8293 (forall ((Z tptp.int) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int Z) (@ (@ tptp.plus_plus_nat N2) M)) (@ (@ tptp.times_times_int (@ (@ tptp.comm_s4660882817536571857er_int Z) N2)) (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int Z) (@ tptp.semiri1314217659103216013at_int N2))) M)))))
% 14.05/14.29 (assume a8294 (forall ((Z tptp.nat) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat Z) (@ (@ tptp.plus_plus_nat N2) M)) (@ (@ tptp.times_times_nat (@ (@ tptp.comm_s4663373288045622133er_nat Z) N2)) (@ (@ tptp.comm_s4663373288045622133er_nat (@ (@ tptp.plus_plus_nat Z) (@ tptp.semiri1316708129612266289at_nat N2))) M)))))
% 14.05/14.29 (assume a8295 (forall ((Z tptp.complex) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex Z) (@ (@ tptp.plus_plus_nat N2) M)) (@ (@ tptp.times_times_complex (@ (@ tptp.comm_s2602460028002588243omplex Z) N2)) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex Z) (@ tptp.semiri8010041392384452111omplex N2))) M)))))
% 14.05/14.29 (assume a8296 (forall ((Z tptp.code_integer) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger Z) (@ (@ tptp.plus_plus_nat N2) M)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.comm_s8582702949713902594nteger Z) N2)) (@ (@ tptp.comm_s8582702949713902594nteger (@ (@ tptp.plus_p5714425477246183910nteger Z) (@ tptp.semiri4939895301339042750nteger N2))) M)))))
% 14.05/14.29 (assume a8297 (forall ((P (-> tptp.int Bool)) (T tptp.real)) (= (@ P (@ tptp.archim6058952711729229775r_real T)) (forall ((I5 tptp.int)) (=> (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real I5)) T) (@ (@ tptp.ord_less_real T) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real I5)) tptp.one_one_real))) (@ P I5))))))
% 14.05/14.29 (assume a8298 (forall ((X tptp.real) (A tptp.int)) (= (= (@ tptp.archim6058952711729229775r_real X) A) (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real A)) X) (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real A)) tptp.one_one_real))))))
% 14.05/14.29 (assume a8299 (forall ((Z tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z)) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real)) (= (@ tptp.archim6058952711729229775r_real X) Z)))))
% 14.05/14.29 (assume a8300 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int (@ tptp.archim6058952711729229775r_real A)) (@ tptp.archim6058952711729229775r_real B))) (@ tptp.archim6058952711729229775r_real (@ (@ tptp.times_times_real A) B)))))))
% 14.05/14.29 (assume a8301 (forall ((Z tptp.int) (X tptp.real)) (= (@ (@ tptp.ord_less_int Z) (@ tptp.archim6058952711729229775r_real X)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X))))
% 14.05/14.29 (assume a8302 (forall ((X tptp.real) (Z tptp.int)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.archim6058952711729229775r_real X)) Z) (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real Z)) tptp.one_one_real)))))
% 14.05/14.29 (assume a8303 (forall ((X tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real X))) X) (@ (@ tptp.ord_less_real X) (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real X)) tptp.one_one_int))))))
% 14.05/14.29 (assume a8304 (forall ((N2 tptp.int) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real N2)) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real N2)) tptp.one_one_real)) (= (@ tptp.archim6058952711729229775r_real X) N2)))))
% 14.05/14.29 (assume a8305 (forall ((K tptp.nat) (A tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc K))) (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ tptp.suc K))) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ (@ tptp.gbinomial_real A) K)))))
% 14.05/14.29 (assume a8306 (forall ((K tptp.nat) (A tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc K))) (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ tptp.suc K))) (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ (@ tptp.gbinomial_complex A) K)))))
% 14.05/14.29 (assume a8307 (forall ((K tptp.nat) (A tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc K))) (@ (@ tptp.gbinomial_real A) (@ tptp.suc K))) (@ (@ tptp.times_times_real A) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 14.05/14.29 (assume a8308 (forall ((K tptp.nat) (A tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ tptp.suc K))) (@ (@ tptp.gbinomial_complex A) (@ tptp.suc K))) (@ (@ tptp.times_times_complex A) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 14.05/14.29 (assume a8309 (forall ((B tptp.int) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) B) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real A) (@ tptp.ring_1_of_int_real B))) (@ (@ tptp.divide_divide_int (@ tptp.archim6058952711729229775r_real A)) B)))))
% 14.05/14.29 (assume a8310 (forall ((K tptp.nat) (M tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (= (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real A) M)) (@ (@ tptp.gbinomial_real (@ tptp.semiri5074537144036343181t_real M)) K)) (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real A) K)) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) (@ tptp.semiri5074537144036343181t_real K))) (@ (@ tptp.minus_minus_nat M) K)))))))
% 14.05/14.29 (assume a8311 (forall ((K tptp.nat) (M tptp.nat) (A tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (= (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex A) M)) (@ (@ tptp.gbinomial_complex (@ tptp.semiri8010041392384452111omplex M)) K)) (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex A) K)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) (@ tptp.semiri8010041392384452111omplex K))) (@ (@ tptp.minus_minus_nat M) K)))))))
% 14.05/14.29 (assume a8312 (forall ((M tptp.nat) (N2 tptp.nat) (Z tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.comm_s7457072308508201937r_real Z) N2) (@ (@ tptp.times_times_real (@ (@ tptp.comm_s7457072308508201937r_real Z) M)) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real Z) (@ tptp.semiri5074537144036343181t_real M))) (@ (@ tptp.minus_minus_nat N2) M)))))))
% 14.05/14.29 (assume a8313 (forall ((M tptp.nat) (N2 tptp.nat) (Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.comm_s4660882817536571857er_int Z) N2) (@ (@ tptp.times_times_int (@ (@ tptp.comm_s4660882817536571857er_int Z) M)) (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int Z) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.minus_minus_nat N2) M)))))))
% 14.05/14.29 (assume a8314 (forall ((M tptp.nat) (N2 tptp.nat) (Z tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.comm_s4663373288045622133er_nat Z) N2) (@ (@ tptp.times_times_nat (@ (@ tptp.comm_s4663373288045622133er_nat Z) M)) (@ (@ tptp.comm_s4663373288045622133er_nat (@ (@ tptp.plus_plus_nat Z) (@ tptp.semiri1316708129612266289at_nat M))) (@ (@ tptp.minus_minus_nat N2) M)))))))
% 14.05/14.29 (assume a8315 (forall ((M tptp.nat) (N2 tptp.nat) (Z tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.comm_s2602460028002588243omplex Z) N2) (@ (@ tptp.times_times_complex (@ (@ tptp.comm_s2602460028002588243omplex Z) M)) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex Z) (@ tptp.semiri8010041392384452111omplex M))) (@ (@ tptp.minus_minus_nat N2) M)))))))
% 14.05/14.29 (assume a8316 (forall ((M tptp.nat) (N2 tptp.nat) (Z tptp.code_integer)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.comm_s8582702949713902594nteger Z) N2) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.comm_s8582702949713902594nteger Z) M)) (@ (@ tptp.comm_s8582702949713902594nteger (@ (@ tptp.plus_p5714425477246183910nteger Z) (@ tptp.semiri4939895301339042750nteger M))) (@ (@ tptp.minus_minus_nat N2) M)))))))
% 14.05/14.29 (assume a8317 (forall ((Q2 tptp.real) (P5 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Q2) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real P5) Q2)))) Q2)) P5))))
% 14.05/14.29 (assume a8318 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ tptp.suc K)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc K)))) (@ (@ tptp.gbinomial_real A) K)))))
% 14.05/14.29 (assume a8319 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ tptp.suc K)) (@ (@ tptp.times_times_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ tptp.semiri8010041392384452111omplex (@ tptp.suc K)))) (@ (@ tptp.gbinomial_complex A) K)))))
% 14.05/14.29 (assume a8320 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ tptp.suc K)) (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real A) K)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) tptp.one_one_real)) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc K)))))))
% 14.05/14.29 (assume a8321 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ tptp.suc K)) (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex A) K)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex A) tptp.one_one_complex)) (@ tptp.semiri8010041392384452111omplex (@ tptp.suc K)))))))
% 14.05/14.29 (assume a8322 (= tptp.gbinomial_real (lambda ((A4 tptp.real) (K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real (@ (@ tptp.minus_minus_real (@ tptp.semiri5074537144036343181t_real K3)) A4)) tptp.one_one_real)) K3)))))
% 14.05/14.29 (assume a8323 (= tptp.gbinomial_complex (lambda ((A4 tptp.complex) (K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K3)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex (@ (@ tptp.minus_minus_complex (@ tptp.semiri8010041392384452111omplex K3)) A4)) tptp.one_one_complex)) K3)))))
% 14.05/14.29 (assume a8324 (forall ((K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K)) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) tptp.one_one_real)) K)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) N2)))))
% 14.05/14.29 (assume a8325 (forall ((K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex N2))) tptp.one_one_complex)) K)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) N2)))))
% 14.05/14.29 (assume a8326 (forall ((R tptp.real) (K tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real R) (@ tptp.semiri5074537144036343181t_real K))) (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real R)) K)) (@ (@ tptp.times_times_real R) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real (@ tptp.uminus_uminus_real R)) tptp.one_one_real)) K)))))
% 14.05/14.29 (assume a8327 (forall ((R tptp.int) (K tptp.nat)) (= (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int R) (@ tptp.semiri1314217659103216013at_int K))) (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int R)) K)) (@ (@ tptp.times_times_int R) (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int R)) tptp.one_one_int)) K)))))
% 14.05/14.29 (assume a8328 (forall ((R tptp.complex) (K tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex R) (@ tptp.semiri8010041392384452111omplex K))) (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex R)) K)) (@ (@ tptp.times_times_complex R) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex (@ tptp.uminus1482373934393186551omplex R)) tptp.one_one_complex)) K)))))
% 14.05/14.29 (assume a8329 (forall ((R tptp.code_integer) (K tptp.nat)) (= (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.minus_8373710615458151222nteger R) (@ tptp.semiri4939895301339042750nteger K))) (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger R)) K)) (@ (@ tptp.times_3573771949741848930nteger R) (@ (@ tptp.comm_s8582702949713902594nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.uminus1351360451143612070nteger R)) tptp.one_one_Code_integer)) K)))))
% 14.05/14.29 (assume a8330 (forall ((Q2 tptp.real) (P5 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Q2) (@ (@ tptp.ord_less_real P5) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real (@ tptp.ring_1_of_int_real (@ tptp.archim6058952711729229775r_real (@ (@ tptp.divide_divide_real P5) Q2)))) tptp.one_one_real)) Q2)))))
% 14.05/14.29 (assume a8331 (forall ((N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int N2))) N2) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) N2)) (@ tptp.semiri1406184849735516958ct_int N2)))))
% 14.05/14.29 (assume a8332 (forall ((N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.semiri8010041392384452111omplex N2))) N2) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2)) (@ tptp.semiri5044797733671781792omplex N2)))))
% 14.05/14.29 (assume a8333 (forall ((N2 tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.semiri4939895301339042750nteger N2))) N2) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N2)) (@ tptp.semiri3624122377584611663nteger N2)))))
% 14.05/14.29 (assume a8334 (forall ((N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) N2) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N2)) (@ tptp.semiri2265585572941072030t_real N2)))))
% 14.05/14.29 (assume a8335 (= tptp.archim8280529875227126926d_real (lambda ((X2 tptp.real)) (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real X2) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a8336 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.gbinomial_real (@ tptp.uminus_uminus_real A)) K) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K)) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real A) (@ tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 14.05/14.29 (assume a8337 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.gbinomial_complex (@ tptp.uminus1482373934393186551omplex A)) K) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex A) (@ tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)))))
% 14.05/14.29 (assume a8338 (forall ((K tptp.nat) (A tptp.complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.gbinomial_complex A) K) (@ (@ tptp.plus_plus_complex (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) (@ (@ tptp.minus_minus_nat K) tptp.one_one_nat))) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) K))))))
% 14.05/14.29 (assume a8339 (forall ((K tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.gbinomial_real A) K) (@ (@ tptp.plus_plus_real (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) (@ (@ tptp.minus_minus_nat K) tptp.one_one_nat))) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) K))))))
% 14.05/14.29 (assume a8340 (forall ((B tptp.real) (K tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real B) (@ tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K)) (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real B)) K)))))
% 14.05/14.29 (assume a8341 (forall ((B tptp.int) (K tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int B) (@ tptp.semiri1314217659103216013at_int K))) tptp.one_one_int)) K) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) K)) (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int B)) K)))))
% 14.05/14.29 (assume a8342 (forall ((B tptp.complex) (K tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex B) (@ tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex B)) K)))))
% 14.05/14.29 (assume a8343 (forall ((B tptp.code_integer) (K tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.minus_8373710615458151222nteger B) (@ tptp.semiri4939895301339042750nteger K))) tptp.one_one_Code_integer)) K) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K)) (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger B)) K)))))
% 14.05/14.29 (assume a8344 (forall ((B tptp.real) (K tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real (@ tptp.uminus_uminus_real B)) K) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K)) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real (@ (@ tptp.minus_minus_real B) (@ tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 14.05/14.29 (assume a8345 (forall ((B tptp.int) (K tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int (@ tptp.uminus_uminus_int B)) K) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) K)) (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int B) (@ tptp.semiri1314217659103216013at_int K))) tptp.one_one_int)) K)))))
% 14.05/14.29 (assume a8346 (forall ((B tptp.complex) (K tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex (@ tptp.uminus1482373934393186551omplex B)) K) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex (@ (@ tptp.minus_minus_complex B) (@ tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)))))
% 14.05/14.29 (assume a8347 (forall ((B tptp.code_integer) (K tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger (@ tptp.uminus1351360451143612070nteger B)) K) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K)) (@ (@ tptp.comm_s8582702949713902594nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.minus_8373710615458151222nteger B) (@ tptp.semiri4939895301339042750nteger K))) tptp.one_one_Code_integer)) K)))))
% 14.05/14.29 (assume a8348 (forall ((K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((J3 tptp.nat)) (@ (@ tptp.gbinomial_complex (@ tptp.semiri8010041392384452111omplex J3)) K))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex N2)) tptp.one_one_complex)) (@ (@ tptp.plus_plus_nat K) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8349 (forall ((K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ tptp.gbinomial_real (@ tptp.semiri5074537144036343181t_real J3)) K))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.one_one_real)) (@ (@ tptp.plus_plus_nat K) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8350 (forall ((X tptp.real) (B tptp.real) (K tptp.int)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (= (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.log B) X)) K) (and (@ (@ tptp.ord_less_eq_real (@ (@ tptp.powr_real B) (@ tptp.ring_1_of_int_real K))) X) (@ (@ tptp.ord_less_real X) (@ (@ tptp.powr_real B) (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int K) tptp.one_one_int))))))))))
% 14.05/14.29 (assume a8351 (forall ((K tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.gbinomial_real A) K) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real A) (@ tptp.semiri5074537144036343181t_real K))) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) (@ (@ tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8352 (forall ((K tptp.nat) (A tptp.complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.gbinomial_complex A) K) (@ (@ tptp.times_times_complex (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.semiri8010041392384452111omplex K))) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) (@ (@ tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a8353 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real N2))) (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real (@ (@ tptp.log (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) tptp.one_one_int)))))
% 14.05/14.29 (assume a8354 (forall ((N2 tptp.nat)) (= (@ tptp.semiri5044797733671781792omplex (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) N2))) (@ tptp.semiri5044797733671781792omplex N2)))))
% 14.05/14.29 (assume a8355 (forall ((N2 tptp.nat)) (= (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) N2))) (@ tptp.semiri2265585572941072030t_real N2)))))
% 14.05/14.29 (assume a8356 (forall ((B tptp.nat) (N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat B) N2)) K) (=> (@ (@ tptp.ord_less_nat K) (@ (@ tptp.power_power_nat B) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat))) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) B) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.log (@ tptp.semiri5074537144036343181t_real B)) (@ tptp.semiri5074537144036343181t_real K))) (@ tptp.semiri1314217659103216013at_int N2)))))))
% 14.05/14.29 (assume a8357 (= tptp.gbinomial_complex (lambda ((A4 tptp.complex) (K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= K3 tptp.zero_zero_nat)) tptp.one_one_complex) (@ (@ tptp.divide1717551699836669952omplex (@ (@ (@ (@ tptp.set_fo1517530859248394432omplex (lambda ((L tptp.nat) (__flatten_var_0 tptp.complex)) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex A4) (@ tptp.semiri8010041392384452111omplex L))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat K3) tptp.one_one_nat)) tptp.one_one_complex)) (@ tptp.semiri5044797733671781792omplex K3))))))
% 14.05/14.29 (assume a8358 (= tptp.gbinomial_real (lambda ((A4 tptp.real) (K3 tptp.nat)) (@ (@ (@ tptp.if_real (= K3 tptp.zero_zero_nat)) tptp.one_one_real) (@ (@ tptp.divide_divide_real (@ (@ (@ (@ tptp.set_fo3111899725591712190t_real (lambda ((L tptp.nat) (__flatten_var_0 tptp.real)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real A4) (@ tptp.semiri5074537144036343181t_real L))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat K3) tptp.one_one_nat)) tptp.one_one_real)) (@ tptp.semiri2265585572941072030t_real K3))))))
% 14.05/14.29 (assume a8359 (forall ((Z tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.comm_s7457072308508201937r_real Z) (@ tptp.suc N2))) (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real Z) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.suc N2))) (@ (@ tptp.groups129246275422532515t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.plus_plus_real Z) (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real K3)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat))))))
% 14.05/14.29 (assume a8360 (forall ((Z tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.comm_s2602460028002588243omplex Z) (@ tptp.suc N2))) (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex Z) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))) (@ tptp.suc N2))) (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.plus_plus_complex Z) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.semiri8010041392384452111omplex K3)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat))))))
% 14.05/14.29 (assume a8361 (= tptp.comm_s3181272606743183617d_enat (lambda ((A4 tptp.extended_enat) (N tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= N tptp.zero_zero_nat)) tptp.one_on7984719198319812577d_enat) (@ (@ (@ (@ tptp.set_fo2538466533108834004d_enat (lambda ((O tptp.nat) (__flatten_var_0 tptp.extended_enat)) (@ (@ tptp.times_7803423173614009249d_enat (@ (@ tptp.plus_p3455044024723400733d_enat A4) (@ tptp.semiri4216267220026989637d_enat O))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_on7984719198319812577d_enat)))))
% 14.05/14.29 (assume a8362 (= tptp.comm_s7457072308508201937r_real (lambda ((A4 tptp.real) (N tptp.nat)) (@ (@ (@ tptp.if_real (= N tptp.zero_zero_nat)) tptp.one_one_real) (@ (@ (@ (@ tptp.set_fo3111899725591712190t_real (lambda ((O tptp.nat) (__flatten_var_0 tptp.real)) (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A4) (@ tptp.semiri5074537144036343181t_real O))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_real)))))
% 14.05/14.29 (assume a8363 (= tptp.comm_s4660882817536571857er_int (lambda ((A4 tptp.int) (N tptp.nat)) (@ (@ (@ tptp.if_int (= N tptp.zero_zero_nat)) tptp.one_one_int) (@ (@ (@ (@ tptp.set_fo2581907887559384638at_int (lambda ((O tptp.nat) (__flatten_var_0 tptp.int)) (@ (@ tptp.times_times_int (@ (@ tptp.plus_plus_int A4) (@ tptp.semiri1314217659103216013at_int O))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_int)))))
% 14.05/14.29 (assume a8364 (= tptp.comm_s2602460028002588243omplex (lambda ((A4 tptp.complex) (N tptp.nat)) (@ (@ (@ tptp.if_complex (= N tptp.zero_zero_nat)) tptp.one_one_complex) (@ (@ (@ (@ tptp.set_fo1517530859248394432omplex (lambda ((O tptp.nat) (__flatten_var_0 tptp.complex)) (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A4) (@ tptp.semiri8010041392384452111omplex O))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_complex)))))
% 14.05/14.29 (assume a8365 (= tptp.comm_s8582702949713902594nteger (lambda ((A4 tptp.code_integer) (N tptp.nat)) (@ (@ (@ tptp.if_Code_integer (= N tptp.zero_zero_nat)) tptp.one_one_Code_integer) (@ (@ (@ (@ tptp.set_fo1084959871951514735nteger (lambda ((O tptp.nat) (__flatten_var_0 tptp.code_integer)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger A4) (@ tptp.semiri4939895301339042750nteger O))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_Code_integer)))))
% 14.05/14.29 (assume a8366 (= tptp.comm_s4663373288045622133er_nat (lambda ((A4 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (= N tptp.zero_zero_nat)) tptp.one_one_nat) (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat (lambda ((O tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.times_times_nat (@ (@ tptp.plus_plus_nat A4) (@ tptp.semiri1316708129612266289at_nat O))) __flatten_var_0))) tptp.zero_zero_nat) (@ (@ tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8367 (forall ((A tptp.complex) (M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex A) K3)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.divide1717551699836669952omplex A) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) (@ tptp.semiri8010041392384452111omplex K3))))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.times_times_complex (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex M)) tptp.one_one_complex)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one)))) (@ (@ tptp.gbinomial_complex A) (@ (@ tptp.plus_plus_nat M) tptp.one_one_nat))))))
% 14.05/14.29 (assume a8368 (forall ((A tptp.real) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real A) K3)) (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real A) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.semiri5074537144036343181t_real K3))))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real M)) tptp.one_one_real)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.gbinomial_real A) (@ (@ tptp.plus_plus_nat M) tptp.one_one_nat))))))
% 14.05/14.29 (assume a8369 (forall ((I2 tptp.real) (K tptp.real)) (= (@ (@ tptp.member_real I2) (@ tptp.set_ord_atMost_real K)) (@ (@ tptp.ord_less_eq_real I2) K))))
% 14.05/14.29 (assume a8370 (forall ((I2 tptp.set_real) (K tptp.set_real)) (= (@ (@ tptp.member_set_real I2) (@ tptp.set_or5092868708245317595t_real K)) (@ (@ tptp.ord_less_eq_set_real I2) K))))
% 14.05/14.29 (assume a8371 (forall ((I2 tptp.set_nat) (K tptp.set_nat)) (= (@ (@ tptp.member_set_nat I2) (@ tptp.set_or4236626031148496127et_nat K)) (@ (@ tptp.ord_less_eq_set_nat I2) K))))
% 14.05/14.29 (assume a8372 (forall ((I2 tptp.num) (K tptp.num)) (= (@ (@ tptp.member_num I2) (@ tptp.set_ord_atMost_num K)) (@ (@ tptp.ord_less_eq_num I2) K))))
% 14.05/14.29 (assume a8373 (forall ((I2 tptp.int) (K tptp.int)) (= (@ (@ tptp.member_int I2) (@ tptp.set_ord_atMost_int K)) (@ (@ tptp.ord_less_eq_int I2) K))))
% 14.05/14.29 (assume a8374 (forall ((I2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.member_nat I2) (@ tptp.set_ord_atMost_nat K)) (@ (@ tptp.ord_less_eq_nat I2) K))))
% 14.05/14.29 (assume a8375 (forall ((A2 tptp.set_nat)) (= (@ (@ tptp.groups708209901874060359at_nat (lambda ((Uu3 tptp.nat)) tptp.one_one_nat)) A2) tptp.one_one_nat)))
% 14.05/14.29 (assume a8376 (forall ((A2 tptp.set_nat)) (= (@ (@ tptp.groups705719431365010083at_int (lambda ((Uu3 tptp.nat)) tptp.one_one_int)) A2) tptp.one_one_int)))
% 14.05/14.29 (assume a8377 (forall ((A2 tptp.set_int)) (= (@ (@ tptp.groups1705073143266064639nt_int (lambda ((Uu3 tptp.int)) tptp.one_one_int)) A2) tptp.one_one_int)))
% 14.05/14.29 (assume a8378 (forall ((G (-> tptp.nat tptp.extended_enat))) (= (@ (@ tptp.groups7961826882256487087d_enat G) tptp.bot_bot_set_nat) tptp.one_on7984719198319812577d_enat)))
% 14.05/14.29 (assume a8379 (forall ((G (-> tptp.nat tptp.complex))) (= (@ (@ tptp.groups6464643781859351333omplex G) tptp.bot_bot_set_nat) tptp.one_one_complex)))
% 14.05/14.29 (assume a8380 (forall ((G (-> tptp.nat tptp.real))) (= (@ (@ tptp.groups129246275422532515t_real G) tptp.bot_bot_set_nat) tptp.one_one_real)))
% 14.05/14.29 (assume a8381 (forall ((G (-> tptp.int tptp.extended_enat))) (= (@ (@ tptp.groups5078248829458667347d_enat G) tptp.bot_bot_set_int) tptp.one_on7984719198319812577d_enat)))
% 14.05/14.29 (assume a8382 (forall ((G (-> tptp.int tptp.complex))) (= (@ (@ tptp.groups7440179247065528705omplex G) tptp.bot_bot_set_int) tptp.one_one_complex)))
% 14.05/14.29 (assume a8383 (forall ((G (-> tptp.int tptp.real))) (= (@ (@ tptp.groups2316167850115554303t_real G) tptp.bot_bot_set_int) tptp.one_one_real)))
% 14.05/14.29 (assume a8384 (forall ((G (-> tptp.int tptp.nat))) (= (@ (@ tptp.groups1707563613775114915nt_nat G) tptp.bot_bot_set_int) tptp.one_one_nat)))
% 14.05/14.29 (assume a8385 (forall ((G (-> tptp.real tptp.extended_enat))) (= (@ (@ tptp.groups7973222482632965587d_enat G) tptp.bot_bot_set_real) tptp.one_on7984719198319812577d_enat)))
% 14.05/14.29 (assume a8386 (forall ((G (-> tptp.real tptp.complex))) (= (@ (@ tptp.groups713298508707869441omplex G) tptp.bot_bot_set_real) tptp.one_one_complex)))
% 14.05/14.29 (assume a8387 (forall ((G (-> tptp.real tptp.real))) (= (@ (@ tptp.groups1681761925125756287l_real G) tptp.bot_bot_set_real) tptp.one_one_real)))
% 14.05/14.29 (assume a8388 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.extended_enat))) (=> (not (@ tptp.finite_finite_nat A2)) (= (@ (@ tptp.groups7961826882256487087d_enat G) A2) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8389 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (not (@ tptp.finite3207457112153483333omplex A2)) (= (@ (@ tptp.groups8780218893797010257d_enat G) A2) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8390 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.complex))) (=> (not (@ tptp.finite_finite_nat A2)) (= (@ (@ tptp.groups6464643781859351333omplex G) A2) tptp.one_one_complex))))
% 14.05/14.29 (assume a8391 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.complex))) (=> (not (@ tptp.finite3207457112153483333omplex A2)) (= (@ (@ tptp.groups3708469109370488835omplex G) A2) tptp.one_one_complex))))
% 14.05/14.29 (assume a8392 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.real))) (=> (not (@ tptp.finite_finite_nat A2)) (= (@ (@ tptp.groups129246275422532515t_real G) A2) tptp.one_one_real))))
% 14.05/14.29 (assume a8393 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (not (@ tptp.finite3207457112153483333omplex A2)) (= (@ (@ tptp.groups766887009212190081x_real G) A2) tptp.one_one_real))))
% 14.05/14.29 (assume a8394 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (not (@ tptp.finite3207457112153483333omplex A2)) (= (@ (@ tptp.groups861055069439313189ex_nat G) A2) tptp.one_one_nat))))
% 14.05/14.29 (assume a8395 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (not (@ tptp.finite3207457112153483333omplex A2)) (= (@ (@ tptp.groups858564598930262913ex_int G) A2) tptp.one_one_int))))
% 14.05/14.29 (assume a8396 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (not (@ tptp.finite_finite_nat A2)) (= (@ (@ tptp.groups708209901874060359at_nat G) A2) tptp.one_one_nat))))
% 14.05/14.29 (assume a8397 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.int))) (=> (not (@ tptp.finite_finite_nat A2)) (= (@ (@ tptp.groups705719431365010083at_int G) A2) tptp.one_one_int))))
% 14.05/14.29 (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.ord_less_eq_set_real X) Y))))
% 14.05/14.29 (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.ord_less_eq_set_nat X) Y))))
% 14.05/14.29 (assume a8400 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.ord_less_eq_set_num (@ tptp.set_ord_atMost_num X)) (@ tptp.set_ord_atMost_num Y)) (@ (@ tptp.ord_less_eq_num X) Y))))
% 14.05/14.29 (assume a8401 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_ord_atMost_int X)) (@ tptp.set_ord_atMost_int Y)) (@ (@ tptp.ord_less_eq_int X) Y))))
% 14.05/14.29 (assume a8402 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_ord_atMost_real X)) (@ tptp.set_ord_atMost_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 14.05/14.29 (assume a8403 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_ord_atMost_nat X)) (@ tptp.set_ord_atMost_nat Y)) (@ (@ tptp.ord_less_eq_nat X) Y))))
% 14.05/14.29 (assume a8404 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8405 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8406 (forall ((S tptp.set_nat) (A tptp.nat) (B (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat S) (and (=> (@ (@ tptp.member_nat A) S) (= (@ (@ tptp.groups7961826882256487087d_enat (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_nat A) S)) (= (@ (@ tptp.groups7961826882256487087d_enat (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8407 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_Extended_enat (= A K3)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8408 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8409 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups7440179247065528705omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups7440179247065528705omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8410 (forall ((S tptp.set_nat) (A tptp.nat) (B (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat S) (and (=> (@ (@ tptp.member_nat A) S) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_nat A) S)) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8411 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups3708469109370488835omplex (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups3708469109370488835omplex (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_complex (= A K3)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8412 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups1681761925125756287l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= A K3)) (@ B K3)) tptp.one_one_real))) S) (@ B A))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups1681761925125756287l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= A K3)) (@ B K3)) tptp.one_one_real))) S) tptp.one_one_real))))))
% 14.05/14.29 (assume a8413 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups2316167850115554303t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= A K3)) (@ B K3)) tptp.one_one_real))) S) (@ B A))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups2316167850115554303t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= A K3)) (@ B K3)) tptp.one_one_real))) S) tptp.one_one_real))))))
% 14.05/14.29 (assume a8414 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8415 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8416 (forall ((S tptp.set_nat) (A tptp.nat) (B (-> tptp.nat tptp.extended_enat))) (=> (@ tptp.finite_finite_nat S) (and (=> (@ (@ tptp.member_nat A) S) (= (@ (@ tptp.groups7961826882256487087d_enat (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_nat A) S)) (= (@ (@ tptp.groups7961826882256487087d_enat (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8417 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) (@ B A))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_Extended_enat (= K3 A)) (@ B K3)) tptp.one_on7984719198319812577d_enat))) S) tptp.one_on7984719198319812577d_enat))))))
% 14.05/14.29 (assume a8418 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8419 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups7440179247065528705omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups7440179247065528705omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8420 (forall ((S tptp.set_nat) (A tptp.nat) (B (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat S) (and (=> (@ (@ tptp.member_nat A) S) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_nat A) S)) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8421 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups3708469109370488835omplex (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) (@ B A))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups3708469109370488835omplex (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) tptp.one_one_complex))) S) tptp.one_one_complex))))))
% 14.05/14.29 (assume a8422 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups1681761925125756287l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) tptp.one_one_real))) S) (@ B A))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups1681761925125756287l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) tptp.one_one_real))) S) tptp.one_one_real))))))
% 14.05/14.29 (assume a8423 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups2316167850115554303t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) tptp.one_one_real))) S) (@ B A))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups2316167850115554303t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) tptp.one_one_real))) S) tptp.one_one_real))))))
% 14.05/14.29 (assume a8424 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups713298508707869441omplex G) A2)))))))
% 14.05/14.29 (assume a8425 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int A2) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups7440179247065528705omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups7440179247065528705omplex G) A2)))))))
% 14.05/14.29 (assume a8426 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat A2) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups6464643781859351333omplex G) A2)))))))
% 14.05/14.29 (assume a8427 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups3708469109370488835omplex G) A2)))))))
% 14.05/14.29 (assume a8428 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups1681761925125756287l_real G) A2)))))))
% 14.05/14.29 (assume a8429 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups2316167850115554303t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups2316167850115554303t_real G) A2)))))))
% 14.05/14.29 (assume a8430 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat A2) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups129246275422532515t_real G) A2)))))))
% 14.05/14.29 (assume a8431 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups766887009212190081x_real G) A2)))))))
% 14.05/14.29 (assume a8432 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups4696554848551431203al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups4696554848551431203al_nat G) A2)))))))
% 14.05/14.29 (assume a8433 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups1707563613775114915nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups1707563613775114915nt_nat G) A2)))))))
% 14.05/14.29 (assume a8434 (forall ((L2 tptp.set_real) (H2 tptp.set_real) (H3 tptp.set_real)) (= (@ (@ tptp.ord_le3558479182127378552t_real (@ (@ tptp.set_or7743017856606604397t_real L2) H2)) (@ tptp.set_or5092868708245317595t_real H3)) (or (not (@ (@ tptp.ord_less_eq_set_real L2) H2)) (@ (@ tptp.ord_less_eq_set_real H2) H3)))))
% 14.05/14.29 (assume a8435 (forall ((L2 tptp.set_nat) (H2 tptp.set_nat) (H3 tptp.set_nat)) (= (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.set_or4548717258645045905et_nat L2) H2)) (@ tptp.set_or4236626031148496127et_nat H3)) (or (not (@ (@ tptp.ord_less_eq_set_nat L2) H2)) (@ (@ tptp.ord_less_eq_set_nat H2) H3)))))
% 14.05/14.29 (assume a8436 (forall ((L2 tptp.num) (H2 tptp.num) (H3 tptp.num)) (= (@ (@ tptp.ord_less_eq_set_num (@ (@ tptp.set_or7049704709247886629st_num L2) H2)) (@ tptp.set_ord_atMost_num H3)) (or (not (@ (@ tptp.ord_less_eq_num L2) H2)) (@ (@ tptp.ord_less_eq_num H2) H3)))))
% 14.05/14.29 (assume a8437 (forall ((L2 tptp.nat) (H2 tptp.nat) (H3 tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.set_or1269000886237332187st_nat L2) H2)) (@ tptp.set_ord_atMost_nat H3)) (or (not (@ (@ tptp.ord_less_eq_nat L2) H2)) (@ (@ tptp.ord_less_eq_nat H2) H3)))))
% 14.05/14.29 (assume a8438 (forall ((L2 tptp.int) (H2 tptp.int) (H3 tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.set_or1266510415728281911st_int L2) H2)) (@ tptp.set_ord_atMost_int H3)) (or (not (@ (@ tptp.ord_less_eq_int L2) H2)) (@ (@ tptp.ord_less_eq_int H2) H3)))))
% 14.05/14.29 (assume a8439 (forall ((L2 tptp.real) (H2 tptp.real) (H3 tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real (@ (@ tptp.set_or1222579329274155063t_real L2) H2)) (@ tptp.set_ord_atMost_real H3)) (or (not (@ (@ tptp.ord_less_eq_real L2) H2)) (@ (@ tptp.ord_less_eq_real H2) H3)))))
% 14.05/14.29 (assume a8440 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8441 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8442 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8443 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8444 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 14.05/14.29 (assume a8445 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 14.05/14.29 (assume a8446 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 14.05/14.29 (assume a8447 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_lessThan_nat N2))) (@ G N2)))))
% 14.05/14.29 (assume a8448 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8449 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8450 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8451 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_atMost_nat N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8452 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.extended_enat))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups7961826882256487087d_enat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.one_on7984719198319812577d_enat)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups7961826882256487087d_enat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_7803423173614009249d_enat (@ (@ tptp.groups7961826882256487087d_enat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 14.05/14.29 (assume a8453 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.complex))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.one_one_complex)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 14.05/14.29 (assume a8454 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.real))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.one_one_real)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 14.05/14.29 (assume a8455 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.nat))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.one_one_nat)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 14.05/14.29 (assume a8456 (forall ((N2 tptp.nat) (M tptp.nat) (G (-> tptp.nat tptp.int))) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) tptp.one_one_int)) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.suc N2)) M)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))))))))
% 14.05/14.29 (assume a8457 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (= (@ G X5) tptp.one_one_nat))) (= (@ (@ tptp.groups708209901874060359at_nat G) A2) tptp.one_one_nat))))
% 14.05/14.29 (assume a8458 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.int))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (= (@ G X5) tptp.one_one_int))) (= (@ (@ tptp.groups705719431365010083at_int G) A2) tptp.one_one_int))))
% 14.05/14.29 (assume a8459 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.int))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (= (@ G X5) tptp.one_one_int))) (= (@ (@ tptp.groups1705073143266064639nt_int G) A2) tptp.one_one_int))))
% 14.05/14.29 (assume a8460 (forall ((G (-> tptp.nat tptp.extended_enat)) (A2 tptp.set_nat)) (=> (not (= (@ (@ tptp.groups7961826882256487087d_enat G) A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (= (@ G A3) tptp.one_on7984719198319812577d_enat)))))))
% 14.05/14.29 (assume a8461 (forall ((G (-> tptp.real tptp.extended_enat)) (A2 tptp.set_real)) (=> (not (= (@ (@ tptp.groups7973222482632965587d_enat G) A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (= (@ G A3) tptp.one_on7984719198319812577d_enat)))))))
% 14.05/14.29 (assume a8462 (forall ((G (-> tptp.int tptp.extended_enat)) (A2 tptp.set_int)) (=> (not (= (@ (@ tptp.groups5078248829458667347d_enat G) A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A2) (= (@ G A3) tptp.one_on7984719198319812577d_enat)))))))
% 14.05/14.29 (assume a8463 (forall ((G (-> tptp.complex tptp.extended_enat)) (A2 tptp.set_complex)) (=> (not (= (@ (@ tptp.groups8780218893797010257d_enat G) A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (= (@ G A3) tptp.one_on7984719198319812577d_enat)))))))
% 14.05/14.29 (assume a8464 (forall ((G (-> tptp.nat tptp.complex)) (A2 tptp.set_nat)) (=> (not (= (@ (@ tptp.groups6464643781859351333omplex G) A2) tptp.one_one_complex)) (not (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (= (@ G A3) tptp.one_one_complex)))))))
% 14.05/14.29 (assume a8465 (forall ((G (-> tptp.real tptp.complex)) (A2 tptp.set_real)) (=> (not (= (@ (@ tptp.groups713298508707869441omplex G) A2) tptp.one_one_complex)) (not (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (= (@ G A3) tptp.one_one_complex)))))))
% 14.05/14.29 (assume a8466 (forall ((G (-> tptp.int tptp.complex)) (A2 tptp.set_int)) (=> (not (= (@ (@ tptp.groups7440179247065528705omplex G) A2) tptp.one_one_complex)) (not (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A2) (= (@ G A3) tptp.one_one_complex)))))))
% 14.05/14.29 (assume a8467 (forall ((G (-> tptp.complex tptp.complex)) (A2 tptp.set_complex)) (=> (not (= (@ (@ tptp.groups3708469109370488835omplex G) A2) tptp.one_one_complex)) (not (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (= (@ G A3) tptp.one_one_complex)))))))
% 14.05/14.29 (assume a8468 (forall ((G (-> tptp.nat tptp.real)) (A2 tptp.set_nat)) (=> (not (= (@ (@ tptp.groups129246275422532515t_real G) A2) tptp.one_one_real)) (not (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (= (@ G A3) tptp.one_one_real)))))))
% 14.05/14.29 (assume a8469 (forall ((G (-> tptp.real tptp.real)) (A2 tptp.set_real)) (=> (not (= (@ (@ tptp.groups1681761925125756287l_real G) A2) tptp.one_one_real)) (not (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (= (@ G A3) tptp.one_one_real)))))))
% 14.05/14.29 (assume a8470 (forall ((G (-> tptp.nat tptp.nat)) (H2 (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.times_times_nat (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) A2)) (@ (@ tptp.groups708209901874060359at_nat H2) A2)))))
% 14.05/14.29 (assume a8471 (forall ((G (-> tptp.nat tptp.int)) (H2 (-> tptp.nat tptp.int)) (A2 tptp.set_nat)) (= (@ (@ tptp.groups705719431365010083at_int (lambda ((X2 tptp.nat)) (@ (@ tptp.times_times_int (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) A2)) (@ (@ tptp.groups705719431365010083at_int H2) A2)))))
% 14.05/14.29 (assume a8472 (forall ((G (-> tptp.int tptp.int)) (H2 (-> tptp.int tptp.int)) (A2 tptp.set_int)) (= (@ (@ tptp.groups1705073143266064639nt_int (lambda ((X2 tptp.int)) (@ (@ tptp.times_times_int (@ G X2)) (@ H2 X2)))) A2) (@ (@ tptp.times_times_int (@ (@ tptp.groups1705073143266064639nt_int G) A2)) (@ (@ tptp.groups1705073143266064639nt_int H2) A2)))))
% 14.05/14.29 (assume a8473 (forall ((F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat (@ (@ tptp.groups708209901874060359at_nat F) A2)) N2) (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.power_power_nat (@ F X2)) N2))) A2))))
% 14.05/14.29 (assume a8474 (forall ((F (-> tptp.nat tptp.int)) (A2 tptp.set_nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ (@ tptp.groups705719431365010083at_int F) A2)) N2) (@ (@ tptp.groups705719431365010083at_int (lambda ((X2 tptp.nat)) (@ (@ tptp.power_power_int (@ F X2)) N2))) A2))))
% 14.05/14.29 (assume a8475 (forall ((F (-> tptp.int tptp.int)) (A2 tptp.set_int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ (@ tptp.groups1705073143266064639nt_int F) A2)) N2) (@ (@ tptp.groups1705073143266064639nt_int (lambda ((X2 tptp.int)) (@ (@ tptp.power_power_int (@ F X2)) N2))) A2))))
% 14.05/14.29 (assume a8476 (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (A2 tptp.set_nat)) (= (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.modulo_modulo_nat (@ F I5)) A))) A2)) A) (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.groups708209901874060359at_nat F) A2)) A))))
% 14.05/14.29 (assume a8477 (forall ((F (-> tptp.nat tptp.int)) (A tptp.int) (A2 tptp.set_nat)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.modulo_modulo_int (@ F I5)) A))) A2)) A) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.groups705719431365010083at_int F) A2)) A))))
% 14.05/14.29 (assume a8478 (forall ((F (-> tptp.int tptp.int)) (A tptp.int) (A2 tptp.set_int)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.groups1705073143266064639nt_int (lambda ((I5 tptp.int)) (@ (@ tptp.modulo_modulo_int (@ F I5)) A))) A2)) A) (@ (@ tptp.modulo_modulo_int (@ (@ tptp.groups1705073143266064639nt_int F) A2)) A))))
% 14.05/14.29 (assume a8479 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8480 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8481 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8482 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8483 (forall ((A (-> tptp.nat tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.groups708209901874060359at_nat (@ A I5)) (@ tptp.set_ord_lessThan_nat I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((J3 tptp.nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ A I5) J3))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8484 (forall ((A (-> tptp.nat tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.groups705719431365010083at_int (@ A I5)) (@ tptp.set_ord_lessThan_nat I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.groups705719431365010083at_int (lambda ((J3 tptp.nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ A I5) J3))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8485 (= tptp.set_ord_atMost_real (lambda ((U2 tptp.real)) (@ tptp.collect_real (lambda ((X2 tptp.real)) (@ (@ tptp.ord_less_eq_real X2) U2))))))
% 14.05/14.29 (assume a8486 (= tptp.set_or5092868708245317595t_real (lambda ((U2 tptp.set_real)) (@ tptp.collect_set_real (lambda ((X2 tptp.set_real)) (@ (@ tptp.ord_less_eq_set_real X2) U2))))))
% 14.05/14.29 (assume a8487 (= tptp.set_or4236626031148496127et_nat (lambda ((U2 tptp.set_nat)) (@ tptp.collect_set_nat (lambda ((X2 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat X2) U2))))))
% 14.05/14.29 (assume a8488 (= tptp.set_ord_atMost_num (lambda ((U2 tptp.num)) (@ tptp.collect_num (lambda ((X2 tptp.num)) (@ (@ tptp.ord_less_eq_num X2) U2))))))
% 14.05/14.29 (assume a8489 (= tptp.set_ord_atMost_int (lambda ((U2 tptp.int)) (@ tptp.collect_int (lambda ((X2 tptp.int)) (@ (@ tptp.ord_less_eq_int X2) U2))))))
% 14.05/14.29 (assume a8490 (= tptp.set_ord_atMost_nat (lambda ((U2 tptp.nat)) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.ord_less_eq_nat X2) U2))))))
% 14.05/14.29 (assume a8491 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ (@ tptp.groups708209901874060359at_nat F) A2)))))
% 14.05/14.29 (assume a8492 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.groups705719431365010083at_int F) A2)))))
% 14.05/14.29 (assume a8493 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.groups1705073143266064639nt_int F) A2)))))
% 14.05/14.29 (assume a8494 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_eq_real (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups129246275422532515t_real F) A2)) (@ (@ tptp.groups129246275422532515t_real G) A2)))))
% 14.05/14.29 (assume a8495 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real)) (G (-> tptp.real tptp.real))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_eq_real (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups1681761925125756287l_real F) A2)) (@ (@ tptp.groups1681761925125756287l_real G) A2)))))
% 14.05/14.29 (assume a8496 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real)) (G (-> tptp.int tptp.real))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_eq_real (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups2316167850115554303t_real F) A2)) (@ (@ tptp.groups2316167850115554303t_real G) A2)))))
% 14.05/14.29 (assume a8497 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_eq_real (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups766887009212190081x_real F) A2)) (@ (@ tptp.groups766887009212190081x_real G) A2)))))
% 14.05/14.29 (assume a8498 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat)) (G (-> tptp.real tptp.nat))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups4696554848551431203al_nat F) A2)) (@ (@ tptp.groups4696554848551431203al_nat G) A2)))))
% 14.05/14.29 (assume a8499 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups1707563613775114915nt_nat F) A2)) (@ (@ tptp.groups1707563613775114915nt_nat G) A2)))))
% 14.05/14.29 (assume a8500 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (@ (@ tptp.groups861055069439313189ex_nat G) A2)))))
% 14.05/14.29 (assume a8501 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.int)) (G (-> tptp.real tptp.int))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) A2) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F I4)) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups4694064378042380927al_int F) A2)) (@ (@ tptp.groups4694064378042380927al_int G) A2)))))
% 14.05/14.29 (assume a8502 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) A2) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F I4)) (@ (@ tptp.ord_less_eq_int (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups858564598930262913ex_int F) A2)) (@ (@ tptp.groups858564598930262913ex_int G) A2)))))
% 14.05/14.29 (assume a8503 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_eq_nat (@ F I4)) (@ G I4))))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups708209901874060359at_nat F) A2)) (@ (@ tptp.groups708209901874060359at_nat G) A2)))))
% 14.05/14.29 (assume a8504 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F X5)))) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups708209901874060359at_nat F) A2)))))
% 14.05/14.29 (assume a8505 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.groups705719431365010083at_int F) A2)))))
% 14.05/14.29 (assume a8506 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ F X5)))) (@ (@ tptp.ord_less_int tptp.zero_zero_int) (@ (@ tptp.groups1705073143266064639nt_int F) A2)))))
% 14.05/14.29 (assume a8507 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ (@ tptp.groups7961826882256487087d_enat F) A2)))))
% 14.05/14.29 (assume a8508 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ (@ tptp.groups7973222482632965587d_enat F) A2)))))
% 14.05/14.29 (assume a8509 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ (@ tptp.groups5078248829458667347d_enat F) A2)))))
% 14.05/14.29 (assume a8510 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ F X5)))) (@ (@ tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (@ (@ tptp.groups8780218893797010257d_enat F) A2)))))
% 14.05/14.29 (assume a8511 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.groups129246275422532515t_real F) A2)))))
% 14.05/14.29 (assume a8512 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.groups1681761925125756287l_real F) A2)))))
% 14.05/14.29 (assume a8513 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.groups2316167850115554303t_real F) A2)))))
% 14.05/14.29 (assume a8514 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F X5)))) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.groups766887009212190081x_real F) A2)))))
% 14.05/14.29 (assume a8515 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ F X5)))) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ (@ tptp.groups4696554848551431203al_nat F) A2)))))
% 14.05/14.29 (assume a8516 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ F X5)))) (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) (@ (@ tptp.groups1707563613775114915nt_nat F) A2)))))
% 14.05/14.29 (assume a8517 (forall ((F (-> tptp.nat tptp.extended_enat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups7961826882256487087d_enat F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo2538466533108834004d_enat (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.extended_enat)) (@ (@ tptp.times_7803423173614009249d_enat (@ F A4)) __flatten_var_0))) A) B) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8518 (forall ((F (-> tptp.nat tptp.complex)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo1517530859248394432omplex (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.complex)) (@ (@ tptp.times_times_complex (@ F A4)) __flatten_var_0))) A) B) tptp.one_one_complex))))
% 14.05/14.29 (assume a8519 (forall ((F (-> tptp.nat tptp.real)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo3111899725591712190t_real (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.real)) (@ (@ tptp.times_times_real (@ F A4)) __flatten_var_0))) A) B) tptp.one_one_real))))
% 14.05/14.29 (assume a8520 (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.times_times_nat (@ F A4)) __flatten_var_0))) A) B) tptp.one_one_nat))))
% 14.05/14.29 (assume a8521 (forall ((F (-> tptp.nat tptp.int)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo2581907887559384638at_int (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.int)) (@ (@ tptp.times_times_int (@ F A4)) __flatten_var_0))) A) B) tptp.one_one_int))))
% 14.05/14.29 (assume a8522 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_complex (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8523 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_real (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8524 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_nat (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8525 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_int (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8526 (forall ((K tptp.nat)) (= (@ tptp.set_ord_lessThan_nat (@ tptp.suc K)) (@ tptp.set_ord_atMost_nat K))))
% 14.05/14.29 (assume a8527 (forall ((K tptp.nat)) (= (@ tptp.set_ord_atMost_nat (@ tptp.suc K)) (@ (@ tptp.insert_nat (@ tptp.suc K)) (@ tptp.set_ord_atMost_nat K)))))
% 14.05/14.29 (assume a8528 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (P (-> tptp.int Bool))) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups5078248829458667347d_enat G) (@ tptp.collect_int (lambda ((X2 tptp.int)) (and (@ (@ tptp.member_int X2) A2) (@ P X2))))) (@ (@ tptp.groups5078248829458667347d_enat (lambda ((X2 tptp.int)) (@ (@ (@ tptp.if_Extended_enat (@ P X2)) (@ G X2)) tptp.one_on7984719198319812577d_enat))) A2)))))
% 14.05/14.29 (assume a8529 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (P (-> tptp.real Bool))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups7973222482632965587d_enat G) (@ tptp.collect_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.member_real X2) A2) (@ P X2))))) (@ (@ tptp.groups7973222482632965587d_enat (lambda ((X2 tptp.real)) (@ (@ (@ tptp.if_Extended_enat (@ P X2)) (@ G X2)) tptp.one_on7984719198319812577d_enat))) A2)))))
% 14.05/14.29 (assume a8530 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.extended_enat)) (P (-> tptp.nat Bool))) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups7961826882256487087d_enat G) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (@ P X2))))) (@ (@ tptp.groups7961826882256487087d_enat (lambda ((X2 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (@ P X2)) (@ G X2)) tptp.one_on7984719198319812577d_enat))) A2)))))
% 14.05/14.29 (assume a8531 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (P (-> tptp.complex Bool))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups8780218893797010257d_enat G) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (@ P X2))))) (@ (@ tptp.groups8780218893797010257d_enat (lambda ((X2 tptp.complex)) (@ (@ (@ tptp.if_Extended_enat (@ P X2)) (@ G X2)) tptp.one_on7984719198319812577d_enat))) A2)))))
% 14.05/14.29 (assume a8532 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.complex)) (P (-> tptp.int Bool))) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups7440179247065528705omplex G) (@ tptp.collect_int (lambda ((X2 tptp.int)) (and (@ (@ tptp.member_int X2) A2) (@ P X2))))) (@ (@ tptp.groups7440179247065528705omplex (lambda ((X2 tptp.int)) (@ (@ (@ tptp.if_complex (@ P X2)) (@ G X2)) tptp.one_one_complex))) A2)))))
% 14.05/14.29 (assume a8533 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.complex)) (P (-> tptp.real Bool))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups713298508707869441omplex G) (@ tptp.collect_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.member_real X2) A2) (@ P X2))))) (@ (@ tptp.groups713298508707869441omplex (lambda ((X2 tptp.real)) (@ (@ (@ tptp.if_complex (@ P X2)) (@ G X2)) tptp.one_one_complex))) A2)))))
% 14.05/14.29 (assume a8534 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.complex)) (P (-> tptp.nat Bool))) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (@ P X2))))) (@ (@ tptp.groups6464643781859351333omplex (lambda ((X2 tptp.nat)) (@ (@ (@ tptp.if_complex (@ P X2)) (@ G X2)) tptp.one_one_complex))) A2)))))
% 14.05/14.29 (assume a8535 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.complex)) (P (-> tptp.complex Bool))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups3708469109370488835omplex G) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (@ P X2))))) (@ (@ tptp.groups3708469109370488835omplex (lambda ((X2 tptp.complex)) (@ (@ (@ tptp.if_complex (@ P X2)) (@ G X2)) tptp.one_one_complex))) A2)))))
% 14.05/14.29 (assume a8536 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.real)) (P (-> tptp.int Bool))) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups2316167850115554303t_real G) (@ tptp.collect_int (lambda ((X2 tptp.int)) (and (@ (@ tptp.member_int X2) A2) (@ P X2))))) (@ (@ tptp.groups2316167850115554303t_real (lambda ((X2 tptp.int)) (@ (@ (@ tptp.if_real (@ P X2)) (@ G X2)) tptp.one_one_real))) A2)))))
% 14.05/14.29 (assume a8537 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.real)) (P (-> tptp.real Bool))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1681761925125756287l_real G) (@ tptp.collect_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.member_real X2) A2) (@ P X2))))) (@ (@ tptp.groups1681761925125756287l_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.if_real (@ P X2)) (@ G X2)) tptp.one_one_real))) A2)))))
% 14.05/14.29 (assume a8538 (forall ((H2 tptp.int) (L3 tptp.int) (H3 tptp.int)) (not (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_ord_atMost_int H2)) (@ (@ tptp.set_or1266510415728281911st_int L3) H3)))))
% 14.05/14.29 (assume a8539 (forall ((H2 tptp.real) (L3 tptp.real) (H3 tptp.real)) (not (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_ord_atMost_real H2)) (@ (@ tptp.set_or1222579329274155063t_real L3) H3)))))
% 14.05/14.29 (assume a8540 (forall ((G (-> tptp.nat tptp.nat)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ tptp.suc N2))) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8541 (forall ((G (-> tptp.nat tptp.int)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ tptp.suc N2))) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8542 (forall ((C tptp.real) (F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.power_power_real C) (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups129246275422532515t_real (lambda ((A4 tptp.nat)) (@ (@ tptp.power_power_real C) (@ F A4)))) A2))))
% 14.05/14.29 (assume a8543 (forall ((C tptp.complex) (F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.power_power_complex C) (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((A4 tptp.nat)) (@ (@ tptp.power_power_complex C) (@ F A4)))) A2))))
% 14.05/14.29 (assume a8544 (forall ((C tptp.nat) (F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.power_power_nat C) (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((A4 tptp.nat)) (@ (@ tptp.power_power_nat C) (@ F A4)))) A2))))
% 14.05/14.29 (assume a8545 (forall ((C tptp.int) (F (-> tptp.nat tptp.nat)) (A2 tptp.set_nat)) (= (@ (@ tptp.power_power_int C) (@ (@ tptp.groups3542108847815614940at_nat F) A2)) (@ (@ tptp.groups705719431365010083at_int (lambda ((A4 tptp.nat)) (@ (@ tptp.power_power_int C) (@ F A4)))) A2))))
% 14.05/14.29 (assume a8546 (forall ((C tptp.int) (F (-> tptp.int tptp.nat)) (A2 tptp.set_int)) (= (@ (@ tptp.power_power_int C) (@ (@ tptp.groups4541462559716669496nt_nat F) A2)) (@ (@ tptp.groups1705073143266064639nt_int (lambda ((A4 tptp.int)) (@ (@ tptp.power_power_int C) (@ F A4)))) A2))))
% 14.05/14.29 (assume a8547 (forall ((G (-> tptp.nat tptp.nat)) (M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat M) K)) (@ (@ tptp.plus_plus_nat N2) K))) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.plus_plus_nat I5) K)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8548 (forall ((G (-> tptp.nat tptp.int)) (M tptp.nat) (K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat M) K)) (@ (@ tptp.plus_plus_nat N2) K))) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.plus_plus_nat I5) K)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8549 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.extended_enat))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (and (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.one_on7984719198319812577d_enat)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups7961826882256487087d_enat F) A2)) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8550 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.extended_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (and (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.one_on7984719198319812577d_enat)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups7973222482632965587d_enat F) A2)) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8551 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.extended_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (and (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.one_on7984719198319812577d_enat)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups5078248829458667347d_enat F) A2)) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8552 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.extended_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (and (@ (@ tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (@ F X5)) (@ (@ tptp.ord_le2932123472753598470d_enat (@ F X5)) tptp.one_on7984719198319812577d_enat)))) (@ (@ tptp.ord_le2932123472753598470d_enat (@ (@ tptp.groups8780218893797010257d_enat F) A2)) tptp.one_on7984719198319812577d_enat))))
% 14.05/14.29 (assume a8553 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.one_one_real)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups129246275422532515t_real F) A2)) tptp.one_one_real))))
% 14.05/14.29 (assume a8554 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.one_one_real)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups1681761925125756287l_real F) A2)) tptp.one_one_real))))
% 14.05/14.29 (assume a8555 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.one_one_real)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups2316167850115554303t_real F) A2)) tptp.one_one_real))))
% 14.05/14.29 (assume a8556 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)) (@ (@ tptp.ord_less_eq_real (@ F X5)) tptp.one_one_real)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups766887009212190081x_real F) A2)) tptp.one_one_real))))
% 14.05/14.29 (assume a8557 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)) (@ (@ tptp.ord_less_eq_nat (@ F X5)) tptp.one_one_nat)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups4696554848551431203al_nat F) A2)) tptp.one_one_nat))))
% 14.05/14.29 (assume a8558 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F X5)) (@ (@ tptp.ord_less_eq_nat (@ F X5)) tptp.one_one_nat)))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups1707563613775114915nt_nat F) A2)) tptp.one_one_nat))))
% 14.05/14.29 (assume a8559 (forall ((R2 (-> tptp.extended_enat tptp.extended_enat Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.extended_enat)) (G (-> tptp.nat tptp.extended_enat))) (=> (@ (@ 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 (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_7803423173614009249d_enat X15) Y15)) (@ (@ tptp.times_7803423173614009249d_enat X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups7961826882256487087d_enat H2) S)) (@ (@ tptp.groups7961826882256487087d_enat G) S))))))))
% 14.05/14.29 (assume a8560 (forall ((R2 (-> tptp.extended_enat tptp.extended_enat Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.extended_enat)) (G (-> tptp.complex tptp.extended_enat))) (=> (@ (@ 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 (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_7803423173614009249d_enat X15) Y15)) (@ (@ tptp.times_7803423173614009249d_enat X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups8780218893797010257d_enat H2) S)) (@ (@ tptp.groups8780218893797010257d_enat G) S))))))))
% 14.05/14.29 (assume a8561 (forall ((R2 (-> tptp.complex tptp.complex Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.complex)) (G (-> tptp.nat tptp.complex))) (=> (@ (@ R2 tptp.one_one_complex) tptp.one_one_complex) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_complex X15) Y15)) (@ (@ tptp.times_times_complex X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups6464643781859351333omplex H2) S)) (@ (@ tptp.groups6464643781859351333omplex G) S))))))))
% 14.05/14.29 (assume a8562 (forall ((R2 (-> tptp.complex tptp.complex Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.complex)) (G (-> tptp.complex tptp.complex))) (=> (@ (@ R2 tptp.one_one_complex) tptp.one_one_complex) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_complex X15) Y15)) (@ (@ tptp.times_times_complex X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups3708469109370488835omplex H2) S)) (@ (@ tptp.groups3708469109370488835omplex G) S))))))))
% 14.05/14.29 (assume a8563 (forall ((R2 (-> tptp.real tptp.real Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (@ (@ R2 tptp.one_one_real) tptp.one_one_real) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_real X15) Y15)) (@ (@ tptp.times_times_real X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups129246275422532515t_real H2) S)) (@ (@ tptp.groups129246275422532515t_real G) S))))))))
% 14.05/14.29 (assume a8564 (forall ((R2 (-> tptp.real tptp.real Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ (@ R2 tptp.one_one_real) tptp.one_one_real) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_real X15) Y15)) (@ (@ tptp.times_times_real X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups766887009212190081x_real H2) S)) (@ (@ tptp.groups766887009212190081x_real G) S))))))))
% 14.05/14.29 (assume a8565 (forall ((R2 (-> tptp.nat tptp.nat Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ (@ R2 tptp.one_one_nat) tptp.one_one_nat) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_nat X15) Y15)) (@ (@ tptp.times_times_nat X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups861055069439313189ex_nat H2) S)) (@ (@ tptp.groups861055069439313189ex_nat G) S))))))))
% 14.05/14.29 (assume a8566 (forall ((R2 (-> tptp.int tptp.int Bool)) (S tptp.set_complex) (H2 (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ (@ R2 tptp.one_one_int) tptp.one_one_int) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_int X15) Y15)) (@ (@ tptp.times_times_int X23) Y23)))) (=> (@ tptp.finite3207457112153483333omplex S) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups858564598930262913ex_int H2) S)) (@ (@ tptp.groups858564598930262913ex_int G) S))))))))
% 14.05/14.29 (assume a8567 (forall ((R2 (-> tptp.nat tptp.nat Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ R2 tptp.one_one_nat) tptp.one_one_nat) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_nat X15) Y15)) (@ (@ tptp.times_times_nat X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups708209901874060359at_nat H2) S)) (@ (@ tptp.groups708209901874060359at_nat G) S))))))))
% 14.05/14.29 (assume a8568 (forall ((R2 (-> tptp.int tptp.int Bool)) (S tptp.set_nat) (H2 (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ (@ R2 tptp.one_one_int) tptp.one_one_int) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (@ (@ R2 X15) X23) (@ (@ R2 Y15) Y23)) (@ (@ R2 (@ (@ tptp.times_times_int X15) Y15)) (@ (@ tptp.times_times_int X23) Y23)))) (=> (@ tptp.finite_finite_nat S) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.member_nat X5) S) (@ (@ R2 (@ H2 X5)) (@ G X5)))) (@ (@ R2 (@ (@ tptp.groups705719431365010083at_int H2) S)) (@ (@ tptp.groups705719431365010083at_int G) S))))))))
% 14.05/14.29 (assume a8569 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups713298508707869441omplex G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups713298508707869441omplex G) A2))))))))
% 14.05/14.29 (assume a8570 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int A2) (and (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups7440179247065528705omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.groups7440179247065528705omplex G) A2))) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups7440179247065528705omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups7440179247065528705omplex G) A2))))))))
% 14.05/14.29 (assume a8571 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat A2) (and (=> (@ (@ tptp.member_nat X) A2) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.groups6464643781859351333omplex G) A2))) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups6464643781859351333omplex G) A2))))))))
% 14.05/14.29 (assume a8572 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex A2) (and (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.groups3708469109370488835omplex G) A2))) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups3708469109370488835omplex G) A2))))))))
% 14.05/14.29 (assume a8573 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups1681761925125756287l_real G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups1681761925125756287l_real G) A2))))))))
% 14.05/14.29 (assume a8574 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (and (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups2316167850115554303t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.groups2316167850115554303t_real G) A2))) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups2316167850115554303t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups2316167850115554303t_real G) A2))))))))
% 14.05/14.29 (assume a8575 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat A2) (and (=> (@ (@ tptp.member_nat X) A2) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.groups129246275422532515t_real G) A2))) (=> (not (@ (@ tptp.member_nat X) A2)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups129246275422532515t_real G) A2))))))))
% 14.05/14.29 (assume a8576 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (and (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.groups766887009212190081x_real G) A2))) (=> (not (@ (@ tptp.member_complex X) A2)) (= (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups766887009212190081x_real G) A2))))))))
% 14.05/14.29 (assume a8577 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (and (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups4696554848551431203al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.groups4696554848551431203al_nat G) A2))) (=> (not (@ (@ tptp.member_real X) A2)) (= (@ (@ tptp.groups4696554848551431203al_nat G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups4696554848551431203al_nat G) A2))))))))
% 14.05/14.29 (assume a8578 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (and (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups1707563613775114915nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.groups1707563613775114915nt_nat G) A2))) (=> (not (@ (@ tptp.member_int X) A2)) (= (@ (@ tptp.groups1707563613775114915nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups1707563613775114915nt_nat G) A2))))))))
% 14.05/14.29 (assume a8579 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (@ (@ tptp.groups861055069439313189ex_nat F) B2))))))
% 14.05/14.29 (assume a8580 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.groups858564598930262913ex_int F) A2)) (@ (@ tptp.groups858564598930262913ex_int F) B2))))))
% 14.05/14.29 (assume a8581 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.code_integer))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups8682486955453173170nteger F) A2)) (@ (@ tptp.groups8682486955453173170nteger F) B2))))))
% 14.05/14.29 (assume a8582 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups4696554848551431203al_nat F) A2)) (@ (@ tptp.groups4696554848551431203al_nat F) B2))))))
% 14.05/14.29 (assume a8583 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.groups4694064378042380927al_int F) A2)) (@ (@ tptp.groups4694064378042380927al_int F) B2))))))
% 14.05/14.29 (assume a8584 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.code_integer))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups6225526099057966256nteger F) A2)) (@ (@ tptp.groups6225526099057966256nteger F) B2))))))
% 14.05/14.29 (assume a8585 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.code_integer))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups3455450783089532116nteger F) A2)) (@ (@ tptp.groups3455450783089532116nteger F) B2))))))
% 14.05/14.29 (assume a8586 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups708209901874060359at_nat F) A2)) (@ (@ tptp.groups708209901874060359at_nat F) B2))))))
% 14.05/14.29 (assume a8587 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.groups705719431365010083at_int F) A2)) (@ (@ tptp.groups705719431365010083at_int F) B2))))))
% 14.05/14.29 (assume a8588 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.groups1705073143266064639nt_int F) A2)) (@ (@ tptp.groups1705073143266064639nt_int F) B2))))))
% 14.05/14.29 (assume a8589 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A2) (@ (@ tptp.dvd_dvd_nat (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups1707563613775114915nt_nat F) A2)) (@ (@ tptp.groups1707563613775114915nt_nat G) B2)))))))
% 14.05/14.29 (assume a8590 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (@ (@ tptp.dvd_dvd_nat (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (@ (@ tptp.groups861055069439313189ex_nat G) B2)))))))
% 14.05/14.29 (assume a8591 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (@ (@ tptp.dvd_dvd_int (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.groups858564598930262913ex_int F) A2)) (@ (@ tptp.groups858564598930262913ex_int G) B2)))))))
% 14.05/14.29 (assume a8592 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.code_integer)) (G (-> tptp.int tptp.code_integer))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A2) (@ (@ tptp.dvd_dvd_Code_integer (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups3827104343326376752nteger F) A2)) (@ (@ tptp.groups3827104343326376752nteger G) B2)))))))
% 14.05/14.29 (assume a8593 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.code_integer)) (G (-> tptp.complex tptp.code_integer))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (@ (@ tptp.dvd_dvd_Code_integer (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups8682486955453173170nteger F) A2)) (@ (@ tptp.groups8682486955453173170nteger G) B2)))))))
% 14.05/14.29 (assume a8594 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.nat)) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (@ (@ tptp.dvd_dvd_nat (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups4696554848551431203al_nat F) A2)) (@ (@ tptp.groups4696554848551431203al_nat G) B2)))))))
% 14.05/14.29 (assume a8595 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.int)) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (@ (@ tptp.dvd_dvd_int (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_int (@ (@ tptp.groups4694064378042380927al_int F) A2)) (@ (@ tptp.groups4694064378042380927al_int G) B2)))))))
% 14.05/14.29 (assume a8596 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.code_integer)) (G (-> tptp.real tptp.code_integer))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (@ (@ tptp.dvd_dvd_Code_integer (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups6225526099057966256nteger F) A2)) (@ (@ tptp.groups6225526099057966256nteger G) B2)))))))
% 14.05/14.29 (assume a8597 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.code_integer)) (G (-> tptp.nat tptp.code_integer))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (@ (@ tptp.dvd_dvd_Code_integer (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_Code_integer (@ (@ tptp.groups3455450783089532116nteger F) A2)) (@ (@ tptp.groups3455450783089532116nteger G) B2)))))))
% 14.05/14.29 (assume a8598 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (@ (@ tptp.dvd_dvd_nat (@ F A3)) (@ G A3)))) (@ (@ tptp.dvd_dvd_nat (@ (@ tptp.groups708209901874060359at_nat F) A2)) (@ (@ tptp.groups708209901874060359at_nat G) B2)))))))
% 14.05/14.29 (assume a8599 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (S tptp.set_real) (I2 (-> tptp.real tptp.real)) (J (-> tptp.real tptp.real)) (T3 tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite_finite_real T5) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.member_real (@ J A3)) (@ (@ tptp.minus_minus_set_real T3) T5)))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (@ (@ tptp.member_real (@ I2 B3)) (@ (@ tptp.minus_minus_set_real S) S5)))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups7973222482632965587d_enat G) S) (@ (@ tptp.groups7973222482632965587d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8600 (forall ((S5 tptp.set_real) (T5 tptp.set_int) (S tptp.set_real) (I2 (-> tptp.int tptp.real)) (J (-> tptp.real tptp.int)) (T3 tptp.set_int) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite_finite_int T5) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.member_int (@ J A3)) (@ (@ tptp.minus_minus_set_int T3) T5)))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int T3) T5)) (@ (@ tptp.member_real (@ I2 B3)) (@ (@ tptp.minus_minus_set_real S) S5)))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups7973222482632965587d_enat G) S) (@ (@ tptp.groups5078248829458667347d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8601 (forall ((S5 tptp.set_int) (T5 tptp.set_real) (S tptp.set_int) (I2 (-> tptp.real tptp.int)) (J (-> tptp.int tptp.real)) (T3 tptp.set_real) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_real T5) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int S) S5)) (@ (@ tptp.member_real (@ J A3)) (@ (@ tptp.minus_minus_set_real T3) T5)))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (@ (@ tptp.member_int (@ I2 B3)) (@ (@ tptp.minus_minus_set_int S) S5)))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups5078248829458667347d_enat G) S) (@ (@ tptp.groups7973222482632965587d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8602 (forall ((S5 tptp.set_int) (T5 tptp.set_int) (S tptp.set_int) (I2 (-> tptp.int tptp.int)) (J (-> tptp.int tptp.int)) (T3 tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_int T5) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int S) S5)) (@ (@ tptp.member_int (@ J A3)) (@ (@ tptp.minus_minus_set_int T3) T5)))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int T3) T5)) (@ (@ tptp.member_int (@ I2 B3)) (@ (@ tptp.minus_minus_set_int S) S5)))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups5078248829458667347d_enat G) S) (@ (@ tptp.groups5078248829458667347d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8603 (forall ((S5 tptp.set_real) (T5 tptp.set_complex) (S tptp.set_real) (I2 (-> tptp.complex tptp.real)) (J (-> tptp.real tptp.complex)) (T3 tptp.set_complex) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite3207457112153483333omplex T5) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.member_complex (@ J A3)) (@ (@ tptp.minus_811609699411566653omplex T3) T5)))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (@ (@ tptp.member_real (@ I2 B3)) (@ (@ tptp.minus_minus_set_real S) S5)))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups7973222482632965587d_enat G) S) (@ (@ tptp.groups8780218893797010257d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8604 (forall ((S5 tptp.set_int) (T5 tptp.set_complex) (S tptp.set_int) (I2 (-> tptp.complex tptp.int)) (J (-> tptp.int tptp.complex)) (T3 tptp.set_complex) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite3207457112153483333omplex T5) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int S) S5)) (@ (@ tptp.member_complex (@ J A3)) (@ (@ tptp.minus_811609699411566653omplex T3) T5)))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (@ (@ tptp.member_int (@ I2 B3)) (@ (@ tptp.minus_minus_set_int S) S5)))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups5078248829458667347d_enat G) S) (@ (@ tptp.groups8780218893797010257d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8605 (forall ((S5 tptp.set_complex) (T5 tptp.set_real) (S tptp.set_complex) (I2 (-> tptp.real tptp.complex)) (J (-> tptp.complex tptp.real)) (T3 tptp.set_real) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S5) (=> (@ tptp.finite_finite_real T5) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (@ (@ tptp.member_real (@ J A3)) (@ (@ tptp.minus_minus_set_real T3) T5)))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (@ (@ tptp.member_complex (@ I2 B3)) (@ (@ tptp.minus_811609699411566653omplex S) S5)))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups8780218893797010257d_enat G) S) (@ (@ tptp.groups7973222482632965587d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8606 (forall ((S5 tptp.set_complex) (T5 tptp.set_int) (S tptp.set_complex) (I2 (-> tptp.int tptp.complex)) (J (-> tptp.complex tptp.int)) (T3 tptp.set_int) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S5) (=> (@ tptp.finite_finite_int T5) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (@ (@ tptp.member_int (@ J A3)) (@ (@ tptp.minus_minus_set_int T3) T5)))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int T3) T5)) (@ (@ tptp.member_complex (@ I2 B3)) (@ (@ tptp.minus_811609699411566653omplex S) S5)))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups8780218893797010257d_enat G) S) (@ (@ tptp.groups5078248829458667347d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8607 (forall ((S5 tptp.set_complex) (T5 tptp.set_complex) (S tptp.set_complex) (I2 (-> tptp.complex tptp.complex)) (J (-> tptp.complex tptp.complex)) (T3 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S5) (=> (@ tptp.finite3207457112153483333omplex T5) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (@ (@ tptp.member_complex (@ J A3)) (@ (@ tptp.minus_811609699411566653omplex T3) T5)))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (@ (@ tptp.member_complex (@ I2 B3)) (@ (@ tptp.minus_811609699411566653omplex S) S5)))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S5) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) T5) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups8780218893797010257d_enat G) S) (@ (@ tptp.groups8780218893797010257d_enat H2) T3)))))))))))))
% 14.05/14.29 (assume a8608 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (S tptp.set_real) (I2 (-> tptp.real tptp.real)) (J (-> tptp.real tptp.real)) (T3 tptp.set_real) (G (-> tptp.real tptp.complex)) (H2 (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite_finite_real T5) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (= (@ I2 (@ J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.member_real (@ J A3)) (@ (@ tptp.minus_minus_set_real T3) T5)))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (= (@ J (@ I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real T3) T5)) (@ (@ tptp.member_real (@ I2 B3)) (@ (@ tptp.minus_minus_set_real S) S5)))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ H2 B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S) (= (@ H2 (@ J A3)) (@ G A3)))) (= (@ (@ tptp.groups713298508707869441omplex G) S) (@ (@ tptp.groups713298508707869441omplex H2) T3)))))))))))))
% 14.05/14.29 (assume a8609 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8610 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8611 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_nat (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8612 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8613 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups7973222482632965587d_enat G) (@ (@ tptp.minus_minus_set_real A2) (@ tptp.collect_real (lambda ((X2 tptp.real)) (= (@ G X2) tptp.one_on7984719198319812577d_enat))))) (@ (@ tptp.groups7973222482632965587d_enat G) A2)))))
% 14.05/14.29 (assume a8614 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups8780218893797010257d_enat G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (= (@ G X2) tptp.one_on7984719198319812577d_enat))))) (@ (@ tptp.groups8780218893797010257d_enat G) A2)))))
% 14.05/14.29 (assume a8615 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.minus_minus_set_real A2) (@ tptp.collect_real (lambda ((X2 tptp.real)) (= (@ G X2) tptp.one_one_complex))))) (@ (@ tptp.groups713298508707869441omplex G) A2)))))
% 14.05/14.29 (assume a8616 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (= (@ G X2) tptp.one_one_complex))))) (@ (@ tptp.groups3708469109370488835omplex G) A2)))))
% 14.05/14.29 (assume a8617 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.minus_minus_set_real A2) (@ tptp.collect_real (lambda ((X2 tptp.real)) (= (@ G X2) tptp.one_one_real))))) (@ (@ tptp.groups1681761925125756287l_real G) A2)))))
% 14.05/14.29 (assume a8618 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (= (@ G X2) tptp.one_one_real))))) (@ (@ tptp.groups766887009212190081x_real G) A2)))))
% 14.05/14.29 (assume a8619 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups4696554848551431203al_nat G) (@ (@ tptp.minus_minus_set_real A2) (@ tptp.collect_real (lambda ((X2 tptp.real)) (= (@ G X2) tptp.one_one_nat))))) (@ (@ tptp.groups4696554848551431203al_nat G) A2)))))
% 14.05/14.29 (assume a8620 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups861055069439313189ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (= (@ G X2) tptp.one_one_nat))))) (@ (@ tptp.groups861055069439313189ex_nat G) A2)))))
% 14.05/14.29 (assume a8621 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups4694064378042380927al_int G) (@ (@ tptp.minus_minus_set_real A2) (@ tptp.collect_real (lambda ((X2 tptp.real)) (= (@ G X2) tptp.one_one_int))))) (@ (@ tptp.groups4694064378042380927al_int G) A2)))))
% 14.05/14.29 (assume a8622 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups858564598930262913ex_int G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (= (@ G X2) tptp.one_one_int))))) (@ (@ tptp.groups858564598930262913ex_int G) A2)))))
% 14.05/14.29 (assume a8623 (forall ((K tptp.num)) (= (@ tptp.set_ord_atMost_nat (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.insert_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.set_ord_atMost_nat (@ tptp.pred_numeral K))))))
% 14.05/14.29 (assume a8624 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8625 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc I5))))) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8626 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat M) N2)) I5)))) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)))))
% 14.05/14.29 (assume a8627 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat M) N2)) I5)))) (@ (@ tptp.set_or1269000886237332187st_nat N2) M)))))
% 14.05/14.29 (assume a8628 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (@ (@ tptp.ord_le7203529160286727270d_enat (@ tptp.set_or8332593352340944941d_enat A)) (@ tptp.set_or8419480210114673929d_enat B)) (@ (@ tptp.ord_le72135733267957522d_enat A) B))))
% 14.05/14.29 (assume a8629 (forall ((A tptp.num) (B tptp.num)) (= (@ (@ tptp.ord_less_eq_set_num (@ tptp.set_ord_atMost_num A)) (@ tptp.set_ord_lessThan_num B)) (@ (@ tptp.ord_less_num A) B))))
% 14.05/14.29 (assume a8630 (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_ord_atMost_int A)) (@ tptp.set_ord_lessThan_int B)) (@ (@ tptp.ord_less_int A) B))))
% 14.05/14.29 (assume a8631 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_ord_atMost_nat A)) (@ tptp.set_ord_lessThan_nat B)) (@ (@ tptp.ord_less_nat A) B))))
% 14.05/14.29 (assume a8632 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_ord_atMost_real A)) (@ tptp.set_or5984915006950818249n_real B)) (@ (@ tptp.ord_less_real A) B))))
% 14.05/14.29 (assume a8633 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.extended_enat)) (H2 (-> tptp.nat tptp.extended_enat))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups7961826882256487087d_enat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_Extended_enat (= J3 K)) tptp.one_on7984719198319812577d_enat) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups7961826882256487087d_enat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8634 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.complex)) (H2 (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_complex (= J3 K)) tptp.one_one_complex) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8635 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.real)) (H2 (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups129246275422532515t_real (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_real (= J3 K)) tptp.one_one_real) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups129246275422532515t_real (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8636 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.nat)) (H2 (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups708209901874060359at_nat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_nat (= J3 K)) tptp.one_one_nat) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8637 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.int)) (H2 (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups705719431365010083at_int (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_int (= J3 K)) tptp.one_one_int) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups705719431365010083at_int (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8638 (forall ((I6 tptp.set_real) (I2 tptp.real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real I6) (=> (@ (@ tptp.member_real I2) I6) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I2)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups1681761925125756287l_real F) I6))))))))
% 14.05/14.29 (assume a8639 (forall ((I6 tptp.set_int) (I2 tptp.int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int I6) (=> (@ (@ tptp.member_int I2) I6) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I2)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups2316167850115554303t_real F) I6))))))))
% 14.05/14.29 (assume a8640 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (I2 tptp.product_prod_nat_nat) (F (-> tptp.product_prod_nat_nat tptp.real))) (=> (@ tptp.finite6177210948735845034at_nat I6) (=> (@ (@ tptp.member8440522571783428010at_nat I2) I6) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I2)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups6036352826371341000t_real F) I6))))))))
% 14.05/14.29 (assume a8641 (forall ((I6 tptp.set_nat) (I2 tptp.nat) (F (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat I6) (=> (@ (@ tptp.member_nat I2) I6) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I2)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups129246275422532515t_real F) I6))))))))
% 14.05/14.29 (assume a8642 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I2)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups766887009212190081x_real F) I6))))))))
% 14.05/14.29 (assume a8643 (forall ((I6 tptp.set_real) (I2 tptp.real) (F (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real I6) (=> (@ (@ tptp.member_real I2) I6) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I2)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups4694064378042380927al_int F) I6))))))))
% 14.05/14.29 (assume a8644 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (I2 tptp.product_prod_nat_nat) (F (-> tptp.product_prod_nat_nat tptp.int))) (=> (@ tptp.finite6177210948735845034at_nat I6) (=> (@ (@ tptp.member8440522571783428010at_nat I2) I6) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I2)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups4075276357253098568at_int F) I6))))))))
% 14.05/14.29 (assume a8645 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (@ (@ tptp.member_complex I2) I6) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I2)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups858564598930262913ex_int F) I6))))))))
% 14.05/14.29 (assume a8646 (forall ((I6 tptp.set_nat) (I2 tptp.nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat I6) (=> (@ (@ tptp.member_nat I2) I6) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I2)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups705719431365010083at_int F) I6))))))))
% 14.05/14.29 (assume a8647 (forall ((I6 tptp.set_int) (I2 tptp.int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int I6) (=> (@ (@ tptp.member_int I2) I6) (=> (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I2)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups1705073143266064639nt_int F) I6))))))))
% 14.05/14.29 (assume a8648 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.real))) (=> (@ tptp.finite6177210948735845034at_nat I6) (=> (not (= I6 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups6036352826371341000t_real F) I6)))))))
% 14.05/14.29 (assume a8649 (forall ((I6 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups766887009212190081x_real F) I6)))))))
% 14.05/14.29 (assume a8650 (forall ((I6 tptp.set_nat) (F (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat I6) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups129246275422532515t_real F) I6)))))))
% 14.05/14.29 (assume a8651 (forall ((I6 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int I6) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups2316167850115554303t_real F) I6)))))))
% 14.05/14.29 (assume a8652 (forall ((I6 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real I6) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ F I4)))) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.groups1681761925125756287l_real F) I6)))))))
% 14.05/14.29 (assume a8653 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.int))) (=> (@ tptp.finite6177210948735845034at_nat I6) (=> (not (= I6 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups4075276357253098568at_int F) I6)))))))
% 14.05/14.29 (assume a8654 (forall ((I6 tptp.set_complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups858564598930262913ex_int F) I6)))))))
% 14.05/14.29 (assume a8655 (forall ((I6 tptp.set_real) (F (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real I6) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups4694064378042380927al_int F) I6)))))))
% 14.05/14.29 (assume a8656 (forall ((I6 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat I6) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups705719431365010083at_int F) I6)))))))
% 14.05/14.29 (assume a8657 (forall ((I6 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int I6) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ F I4)))) (@ (@ tptp.ord_less_int tptp.one_one_int) (@ (@ tptp.groups1705073143266064639nt_int F) I6)))))))
% 14.05/14.29 (assume a8658 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.complex))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups3708469109370488835omplex G) A2) (@ (@ tptp.times_times_complex (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups3708469109370488835omplex G) B2)))))))
% 14.05/14.29 (assume a8659 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups766887009212190081x_real G) A2) (@ (@ tptp.times_times_real (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups766887009212190081x_real G) B2)))))))
% 14.05/14.29 (assume a8660 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups861055069439313189ex_nat G) A2) (@ (@ tptp.times_times_nat (@ (@ tptp.groups861055069439313189ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups861055069439313189ex_nat G) B2)))))))
% 14.05/14.29 (assume a8661 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) A2) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups858564598930262913ex_int G) A2) (@ (@ tptp.times_times_int (@ (@ tptp.groups858564598930262913ex_int G) (@ (@ tptp.minus_811609699411566653omplex A2) B2))) (@ (@ tptp.groups858564598930262913ex_int G) B2)))))))
% 14.05/14.29 (assume a8662 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups713298508707869441omplex G) A2) (@ (@ tptp.times_times_complex (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups713298508707869441omplex G) B2)))))))
% 14.05/14.29 (assume a8663 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1681761925125756287l_real G) A2) (@ (@ tptp.times_times_real (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups1681761925125756287l_real G) B2)))))))
% 14.05/14.29 (assume a8664 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups4696554848551431203al_nat G) A2) (@ (@ tptp.times_times_nat (@ (@ tptp.groups4696554848551431203al_nat G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups4696554848551431203al_nat G) B2)))))))
% 14.05/14.29 (assume a8665 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ (@ tptp.ord_less_eq_set_real B2) A2) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups4694064378042380927al_int G) A2) (@ (@ tptp.times_times_int (@ (@ tptp.groups4694064378042380927al_int G) (@ (@ tptp.minus_minus_set_real A2) B2))) (@ (@ tptp.groups4694064378042380927al_int G) B2)))))))
% 14.05/14.29 (assume a8666 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups6464643781859351333omplex G) A2) (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.minus_minus_set_nat A2) B2))) (@ (@ tptp.groups6464643781859351333omplex G) B2)))))))
% 14.05/14.29 (assume a8667 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_set_nat B2) A2) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups129246275422532515t_real G) A2) (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.minus_minus_set_nat A2) B2))) (@ (@ tptp.groups129246275422532515t_real G) B2)))))))
% 14.05/14.29 (assume a8668 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (= (= (@ (@ tptp.groups5078248829458667347d_enat G) A2) (@ (@ tptp.groups5078248829458667347d_enat H2) B2)) (= (@ (@ tptp.groups5078248829458667347d_enat G) C4) (@ (@ tptp.groups5078248829458667347d_enat H2) C4))))))))))
% 14.05/14.29 (assume a8669 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (= (= (@ (@ tptp.groups8780218893797010257d_enat G) A2) (@ (@ tptp.groups8780218893797010257d_enat H2) B2)) (= (@ (@ tptp.groups8780218893797010257d_enat G) C4) (@ (@ tptp.groups8780218893797010257d_enat H2) C4))))))))))
% 14.05/14.29 (assume a8670 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.complex)) (H2 (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_one_complex))) (= (= (@ (@ tptp.groups7440179247065528705omplex G) A2) (@ (@ tptp.groups7440179247065528705omplex H2) B2)) (= (@ (@ tptp.groups7440179247065528705omplex G) C4) (@ (@ tptp.groups7440179247065528705omplex H2) C4))))))))))
% 14.05/14.29 (assume a8671 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.complex)) (H2 (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_complex))) (= (= (@ (@ tptp.groups3708469109370488835omplex G) A2) (@ (@ tptp.groups3708469109370488835omplex H2) B2)) (= (@ (@ tptp.groups3708469109370488835omplex G) C4) (@ (@ tptp.groups3708469109370488835omplex H2) C4))))))))))
% 14.05/14.29 (assume a8672 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.real)) (H2 (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_one_real))) (= (= (@ (@ tptp.groups2316167850115554303t_real G) A2) (@ (@ tptp.groups2316167850115554303t_real H2) B2)) (= (@ (@ tptp.groups2316167850115554303t_real G) C4) (@ (@ tptp.groups2316167850115554303t_real H2) C4))))))))))
% 14.05/14.29 (assume a8673 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.real)) (H2 (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_real))) (= (= (@ (@ tptp.groups766887009212190081x_real G) A2) (@ (@ tptp.groups766887009212190081x_real H2) B2)) (= (@ (@ tptp.groups766887009212190081x_real G) C4) (@ (@ tptp.groups766887009212190081x_real H2) C4))))))))))
% 14.05/14.29 (assume a8674 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.nat)) (H2 (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_one_nat))) (= (= (@ (@ tptp.groups1707563613775114915nt_nat G) A2) (@ (@ tptp.groups1707563613775114915nt_nat H2) B2)) (= (@ (@ tptp.groups1707563613775114915nt_nat G) C4) (@ (@ tptp.groups1707563613775114915nt_nat H2) C4))))))))))
% 14.05/14.29 (assume a8675 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (H2 (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_nat))) (= (= (@ (@ tptp.groups861055069439313189ex_nat G) A2) (@ (@ tptp.groups861055069439313189ex_nat H2) B2)) (= (@ (@ tptp.groups861055069439313189ex_nat G) C4) (@ (@ tptp.groups861055069439313189ex_nat H2) C4))))))))))
% 14.05/14.29 (assume a8676 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.int)) (H2 (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_int))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_int))) (= (= (@ (@ tptp.groups858564598930262913ex_int G) A2) (@ (@ tptp.groups858564598930262913ex_int H2) B2)) (= (@ (@ tptp.groups858564598930262913ex_int G) C4) (@ (@ tptp.groups858564598930262913ex_int H2) C4))))))))))
% 14.05/14.29 (assume a8677 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real C4) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real C4) A2)) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real C4) B2)) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (= (= (@ (@ tptp.groups7973222482632965587d_enat G) A2) (@ (@ tptp.groups7973222482632965587d_enat H2) B2)) (= (@ (@ tptp.groups7973222482632965587d_enat G) C4) (@ (@ tptp.groups7973222482632965587d_enat H2) C4))))))))))
% 14.05/14.29 (assume a8678 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (= (@ (@ tptp.groups5078248829458667347d_enat G) C4) (@ (@ tptp.groups5078248829458667347d_enat H2) C4)) (= (@ (@ tptp.groups5078248829458667347d_enat G) A2) (@ (@ tptp.groups5078248829458667347d_enat H2) B2))))))))))
% 14.05/14.29 (assume a8679 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (= (@ (@ tptp.groups8780218893797010257d_enat G) C4) (@ (@ tptp.groups8780218893797010257d_enat H2) C4)) (= (@ (@ tptp.groups8780218893797010257d_enat G) A2) (@ (@ tptp.groups8780218893797010257d_enat H2) B2))))))))))
% 14.05/14.29 (assume a8680 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.complex)) (H2 (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_one_complex))) (=> (= (@ (@ tptp.groups7440179247065528705omplex G) C4) (@ (@ tptp.groups7440179247065528705omplex H2) C4)) (= (@ (@ tptp.groups7440179247065528705omplex G) A2) (@ (@ tptp.groups7440179247065528705omplex H2) B2))))))))))
% 14.05/14.29 (assume a8681 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.complex)) (H2 (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_complex))) (=> (= (@ (@ tptp.groups3708469109370488835omplex G) C4) (@ (@ tptp.groups3708469109370488835omplex H2) C4)) (= (@ (@ tptp.groups3708469109370488835omplex G) A2) (@ (@ tptp.groups3708469109370488835omplex H2) B2))))))))))
% 14.05/14.29 (assume a8682 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.real)) (H2 (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_one_real))) (=> (= (@ (@ tptp.groups2316167850115554303t_real G) C4) (@ (@ tptp.groups2316167850115554303t_real H2) C4)) (= (@ (@ tptp.groups2316167850115554303t_real G) A2) (@ (@ tptp.groups2316167850115554303t_real H2) B2))))))))))
% 14.05/14.29 (assume a8683 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.real)) (H2 (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_real))) (=> (= (@ (@ tptp.groups766887009212190081x_real G) C4) (@ (@ tptp.groups766887009212190081x_real H2) C4)) (= (@ (@ tptp.groups766887009212190081x_real G) A2) (@ (@ tptp.groups766887009212190081x_real H2) B2))))))))))
% 14.05/14.29 (assume a8684 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G (-> tptp.int tptp.nat)) (H2 (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int C4) (=> (@ (@ tptp.ord_less_eq_set_int A2) C4) (=> (@ (@ tptp.ord_less_eq_set_int B2) C4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) (@ (@ tptp.minus_minus_set_int C4) A2)) (= (@ G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int C4) B2)) (= (@ H2 B3) tptp.one_one_nat))) (=> (= (@ (@ tptp.groups1707563613775114915nt_nat G) C4) (@ (@ tptp.groups1707563613775114915nt_nat H2) C4)) (= (@ (@ tptp.groups1707563613775114915nt_nat G) A2) (@ (@ tptp.groups1707563613775114915nt_nat H2) B2))))))))))
% 14.05/14.29 (assume a8685 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (H2 (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_nat))) (=> (= (@ (@ tptp.groups861055069439313189ex_nat G) C4) (@ (@ tptp.groups861055069439313189ex_nat H2) C4)) (= (@ (@ tptp.groups861055069439313189ex_nat G) A2) (@ (@ tptp.groups861055069439313189ex_nat H2) B2))))))))))
% 14.05/14.29 (assume a8686 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G (-> tptp.complex tptp.int)) (H2 (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex C4) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) C4) (=> (@ (@ tptp.ord_le211207098394363844omplex B2) C4) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) (@ (@ tptp.minus_811609699411566653omplex C4) A2)) (= (@ G A3) tptp.one_one_int))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex C4) B2)) (= (@ H2 B3) tptp.one_one_int))) (=> (= (@ (@ tptp.groups858564598930262913ex_int G) C4) (@ (@ tptp.groups858564598930262913ex_int H2) C4)) (= (@ (@ tptp.groups858564598930262913ex_int G) A2) (@ (@ tptp.groups858564598930262913ex_int H2) B2))))))))))
% 14.05/14.29 (assume a8687 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real C4) (=> (@ (@ tptp.ord_less_eq_set_real A2) C4) (=> (@ (@ tptp.ord_less_eq_set_real B2) C4) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) (@ (@ tptp.minus_minus_set_real C4) A2)) (= (@ G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real C4) B2)) (= (@ H2 B3) tptp.one_on7984719198319812577d_enat))) (=> (= (@ (@ tptp.groups7973222482632965587d_enat G) C4) (@ (@ tptp.groups7973222482632965587d_enat H2) C4)) (= (@ (@ tptp.groups7973222482632965587d_enat G) A2) (@ (@ tptp.groups7973222482632965587d_enat H2) B2))))))))))
% 14.05/14.29 (assume a8688 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups8780218893797010257d_enat G) S) (@ (@ tptp.groups8780218893797010257d_enat G) T3)))))))
% 14.05/14.29 (assume a8689 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_complex))) (= (@ (@ tptp.groups3708469109370488835omplex G) S) (@ (@ tptp.groups3708469109370488835omplex G) T3)))))))
% 14.05/14.29 (assume a8690 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_real))) (= (@ (@ tptp.groups766887009212190081x_real G) S) (@ (@ tptp.groups766887009212190081x_real G) T3)))))))
% 14.05/14.29 (assume a8691 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_nat))) (= (@ (@ tptp.groups861055069439313189ex_nat G) S) (@ (@ tptp.groups861055069439313189ex_nat G) T3)))))))
% 14.05/14.29 (assume a8692 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_int))) (= (@ (@ tptp.groups858564598930262913ex_int G) S) (@ (@ tptp.groups858564598930262913ex_int G) T3)))))))
% 14.05/14.29 (assume a8693 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups7973222482632965587d_enat G) S) (@ (@ tptp.groups7973222482632965587d_enat G) T3)))))))
% 14.05/14.29 (assume a8694 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_complex))) (= (@ (@ tptp.groups713298508707869441omplex G) S) (@ (@ tptp.groups713298508707869441omplex G) T3)))))))
% 14.05/14.29 (assume a8695 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_real))) (= (@ (@ tptp.groups1681761925125756287l_real G) S) (@ (@ tptp.groups1681761925125756287l_real G) T3)))))))
% 14.05/14.29 (assume a8696 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_nat))) (= (@ (@ tptp.groups4696554848551431203al_nat G) S) (@ (@ tptp.groups4696554848551431203al_nat G) T3)))))))
% 14.05/14.29 (assume a8697 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_int))) (= (@ (@ tptp.groups4694064378042380927al_int G) S) (@ (@ tptp.groups4694064378042380927al_int G) T3)))))))
% 14.05/14.29 (assume a8698 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups8780218893797010257d_enat G) T3) (@ (@ tptp.groups8780218893797010257d_enat G) S)))))))
% 14.05/14.29 (assume a8699 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_complex))) (= (@ (@ tptp.groups3708469109370488835omplex G) T3) (@ (@ tptp.groups3708469109370488835omplex G) S)))))))
% 14.05/14.29 (assume a8700 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_real))) (= (@ (@ tptp.groups766887009212190081x_real G) T3) (@ (@ tptp.groups766887009212190081x_real G) S)))))))
% 14.05/14.29 (assume a8701 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_nat))) (= (@ (@ tptp.groups861055069439313189ex_nat G) T3) (@ (@ tptp.groups861055069439313189ex_nat G) S)))))))
% 14.05/14.29 (assume a8702 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_int))) (= (@ (@ tptp.groups858564598930262913ex_int G) T3) (@ (@ tptp.groups858564598930262913ex_int G) S)))))))
% 14.05/14.29 (assume a8703 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups7973222482632965587d_enat G) T3) (@ (@ tptp.groups7973222482632965587d_enat G) S)))))))
% 14.05/14.29 (assume a8704 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_complex))) (= (@ (@ tptp.groups713298508707869441omplex G) T3) (@ (@ tptp.groups713298508707869441omplex G) S)))))))
% 14.05/14.29 (assume a8705 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_real))) (= (@ (@ tptp.groups1681761925125756287l_real G) T3) (@ (@ tptp.groups1681761925125756287l_real G) S)))))))
% 14.05/14.29 (assume a8706 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_nat))) (= (@ (@ tptp.groups4696554848551431203al_nat G) T3) (@ (@ tptp.groups4696554848551431203al_nat G) S)))))))
% 14.05/14.29 (assume a8707 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_one_int))) (= (@ (@ tptp.groups4694064378042380927al_int G) T3) (@ (@ tptp.groups4694064378042380927al_int G) S)))))))
% 14.05/14.29 (assume a8708 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.extended_enat)) (G (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5078248829458667347d_enat G) S) (@ (@ tptp.groups5078248829458667347d_enat H2) T3))))))))
% 14.05/14.29 (assume a8709 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.extended_enat)) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups8780218893797010257d_enat G) S) (@ (@ tptp.groups8780218893797010257d_enat H2) T3))))))))
% 14.05/14.29 (assume a8710 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.complex)) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups7440179247065528705omplex G) S) (@ (@ tptp.groups7440179247065528705omplex H2) T3))))))))
% 14.05/14.29 (assume a8711 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.complex)) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups3708469109370488835omplex G) S) (@ (@ tptp.groups3708469109370488835omplex H2) T3))))))))
% 14.05/14.29 (assume a8712 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.real)) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.one_one_real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups2316167850115554303t_real G) S) (@ (@ tptp.groups2316167850115554303t_real H2) T3))))))))
% 14.05/14.29 (assume a8713 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.one_one_real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups766887009212190081x_real G) S) (@ (@ tptp.groups766887009212190081x_real H2) T3))))))))
% 14.05/14.29 (assume a8714 (forall ((T3 tptp.set_int) (S tptp.set_int) (H2 (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ H2 X5) tptp.one_one_nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups1707563613775114915nt_nat G) S) (@ (@ tptp.groups1707563613775114915nt_nat H2) T3))))))))
% 14.05/14.29 (assume a8715 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.one_one_nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups861055069439313189ex_nat G) S) (@ (@ tptp.groups861055069439313189ex_nat H2) T3))))))))
% 14.05/14.29 (assume a8716 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H2 (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ H2 X5) tptp.one_one_int))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups858564598930262913ex_int G) S) (@ (@ tptp.groups858564598930262913ex_int H2) T3))))))))
% 14.05/14.29 (assume a8717 (forall ((T3 tptp.set_real) (S tptp.set_real) (H2 (-> tptp.real tptp.extended_enat)) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ H2 X5) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups7973222482632965587d_enat G) S) (@ (@ tptp.groups7973222482632965587d_enat H2) T3))))))))
% 14.05/14.29 (assume a8718 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.extended_enat)) (H2 (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups5078248829458667347d_enat G) T3) (@ (@ tptp.groups5078248829458667347d_enat H2) S))))))))
% 14.05/14.29 (assume a8719 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.extended_enat)) (H2 (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups8780218893797010257d_enat G) T3) (@ (@ tptp.groups8780218893797010257d_enat H2) S))))))))
% 14.05/14.29 (assume a8720 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.complex)) (H2 (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups7440179247065528705omplex G) T3) (@ (@ tptp.groups7440179247065528705omplex H2) S))))))))
% 14.05/14.29 (assume a8721 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.complex)) (H2 (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups3708469109370488835omplex G) T3) (@ (@ tptp.groups3708469109370488835omplex H2) S))))))))
% 14.05/14.29 (assume a8722 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.real)) (H2 (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.one_one_real))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups2316167850115554303t_real G) T3) (@ (@ tptp.groups2316167850115554303t_real H2) S))))))))
% 14.05/14.29 (assume a8723 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.real)) (H2 (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_real))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups766887009212190081x_real G) T3) (@ (@ tptp.groups766887009212190081x_real H2) S))))))))
% 14.05/14.29 (assume a8724 (forall ((T3 tptp.set_int) (S tptp.set_int) (G (-> tptp.int tptp.nat)) (H2 (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int T3) (=> (@ (@ tptp.ord_less_eq_set_int S) T3) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) (@ (@ tptp.minus_minus_set_int T3) S)) (= (@ G X5) tptp.one_one_nat))) (=> (forall ((X5 tptp.int)) (=> (@ (@ tptp.member_int X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups1707563613775114915nt_nat G) T3) (@ (@ tptp.groups1707563613775114915nt_nat H2) S))))))))
% 14.05/14.29 (assume a8725 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.nat)) (H2 (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_nat))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups861055069439313189ex_nat G) T3) (@ (@ tptp.groups861055069439313189ex_nat H2) S))))))))
% 14.05/14.29 (assume a8726 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G (-> tptp.complex tptp.int)) (H2 (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex T3) (=> (@ (@ tptp.ord_le211207098394363844omplex S) T3) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) (@ (@ tptp.minus_811609699411566653omplex T3) S)) (= (@ G X5) tptp.one_one_int))) (=> (forall ((X5 tptp.complex)) (=> (@ (@ tptp.member_complex X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups858564598930262913ex_int G) T3) (@ (@ tptp.groups858564598930262913ex_int H2) S))))))))
% 14.05/14.29 (assume a8727 (forall ((T3 tptp.set_real) (S tptp.set_real) (G (-> tptp.real tptp.extended_enat)) (H2 (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real T3) (=> (@ (@ tptp.ord_less_eq_set_real S) T3) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.minus_minus_set_real T3) S)) (= (@ G X5) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) S) (= (@ G X5) (@ H2 X5)))) (= (@ (@ tptp.groups7973222482632965587d_enat G) T3) (@ (@ tptp.groups7973222482632965587d_enat H2) S))))))))
% 14.05/14.29 (assume a8728 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8729 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8730 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8731 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))) (@ G (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8732 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_complex (@ G M)) (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 14.05/14.29 (assume a8733 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_real (@ G M)) (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 14.05/14.29 (assume a8734 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_nat (@ G M)) (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 14.05/14.29 (assume a8735 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_int (@ G M)) (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) N2)))))))
% 14.05/14.29 (assume a8736 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ G (@ tptp.suc N2))) (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8737 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ G (@ tptp.suc N2))) (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8738 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ G (@ tptp.suc N2))) (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8739 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.suc N2)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ G (@ tptp.suc N2))) (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8740 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8741 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8742 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8743 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8744 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.times_times_complex (@ G M)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8745 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.times_times_real (@ G M)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8746 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.times_times_nat (@ G M)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8747 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ G (@ tptp.suc N2))) (@ (@ tptp.times_times_int (@ G M)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))))
% 14.05/14.29 (assume a8748 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_complex (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8749 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_int (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8750 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_nat (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8751 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_atMost_nat (@ tptp.suc N2))) (@ (@ tptp.plus_plus_real (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a8752 (forall ((F (-> tptp.nat tptp.complex)) (I2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_complex (@ F I5)) (@ F (@ tptp.suc I5))))) (@ tptp.set_ord_atMost_nat I2)) (@ (@ tptp.minus_minus_complex (@ F tptp.zero_zero_nat)) (@ F (@ tptp.suc I2))))))
% 14.05/14.29 (assume a8753 (forall ((F (-> tptp.nat tptp.int)) (I2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_int (@ F I5)) (@ F (@ tptp.suc I5))))) (@ tptp.set_ord_atMost_nat I2)) (@ (@ tptp.minus_minus_int (@ F tptp.zero_zero_nat)) (@ F (@ tptp.suc I2))))))
% 14.05/14.29 (assume a8754 (forall ((F (-> tptp.nat tptp.real)) (I2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_real (@ F I5)) (@ F (@ tptp.suc I5))))) (@ tptp.set_ord_atMost_nat I2)) (@ (@ tptp.minus_minus_real (@ F tptp.zero_zero_nat)) (@ F (@ tptp.suc I2))))))
% 14.05/14.29 (assume a8755 (forall ((C (-> tptp.nat tptp.complex)) (N2 tptp.nat) (D (-> tptp.nat tptp.complex))) (= (forall ((X2 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ D I5)) (@ (@ tptp.power_power_complex X2) I5)))) (@ tptp.set_ord_atMost_nat N2)))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I5) N2) (= (@ C I5) (@ D I5)))))))
% 14.05/14.29 (assume a8756 (forall ((C (-> tptp.nat tptp.real)) (N2 tptp.nat) (D (-> tptp.nat tptp.real))) (= (forall ((X2 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ D I5)) (@ (@ tptp.power_power_real X2) I5)))) (@ tptp.set_ord_atMost_nat N2)))) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I5) N2) (= (@ C I5) (@ D I5)))))))
% 14.05/14.29 (assume a8757 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((K3 tptp.nat)) (@ G (@ tptp.suc K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8758 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ (@ tptp.groups705719431365010083at_int (lambda ((K3 tptp.nat)) (@ G (@ tptp.suc K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8759 (forall ((A (-> tptp.nat tptp.int)) (B2 tptp.int)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups3539618377306564664at_int A) (@ tptp.set_ord_atMost_nat N4))) B2)) (@ tptp.summable_int A)))))
% 14.05/14.29 (assume a8760 (forall ((A (-> tptp.nat tptp.nat)) (B2 tptp.nat)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat A) (@ tptp.set_ord_atMost_nat N4))) B2)) (@ tptp.summable_nat A)))))
% 14.05/14.29 (assume a8761 (forall ((A (-> tptp.nat tptp.real)) (B2 tptp.real)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real A) (@ tptp.set_ord_atMost_nat N4))) B2)) (@ tptp.summable_real A)))))
% 14.05/14.29 (assume a8762 (= tptp.semiri1406184849735516958ct_int (lambda ((N tptp.nat)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 14.05/14.29 (assume a8763 (= tptp.semiri5044797733671781792omplex (lambda ((N tptp.nat)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 14.05/14.29 (assume a8764 (= tptp.semiri3624122377584611663nteger (lambda ((N tptp.nat)) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 14.05/14.29 (assume a8765 (= tptp.semiri2265585572941072030t_real (lambda ((N tptp.nat)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 14.05/14.29 (assume a8766 (= tptp.semiri1408675320244567234ct_nat (lambda ((N tptp.nat)) (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 14.05/14.29 (assume a8767 (forall ((A (-> tptp.nat tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.groups3542108847815614940at_nat (@ A I5)) (@ tptp.set_ord_lessThan_nat I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ A I5) J3))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8768 (forall ((A (-> tptp.nat tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (@ A I5)) (@ tptp.set_ord_lessThan_nat I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ A I5) J3))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8769 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real)) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_real (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (@ (@ tptp.ord_less_real (@ (@ tptp.groups766887009212190081x_real F) A2)) (@ (@ tptp.groups766887009212190081x_real G) A2)))))))
% 14.05/14.29 (assume a8770 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat A2) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_real (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_real (@ (@ tptp.groups129246275422532515t_real F) A2)) (@ (@ tptp.groups129246275422532515t_real G) A2)))))))
% 14.05/14.29 (assume a8771 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real)) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_real (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_real (@ (@ tptp.groups2316167850115554303t_real F) A2)) (@ (@ tptp.groups2316167850115554303t_real G) A2)))))))
% 14.05/14.29 (assume a8772 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real)) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) A2) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F I4)) (@ (@ tptp.ord_less_real (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_real)) (@ (@ tptp.ord_less_real (@ (@ tptp.groups1681761925125756287l_real F) A2)) (@ (@ tptp.groups1681761925125756287l_real G) A2)))))))
% 14.05/14.29 (assume a8773 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_nat (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (@ (@ tptp.groups861055069439313189ex_nat G) A2)))))))
% 14.05/14.29 (assume a8774 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_nat (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups1707563613775114915nt_nat F) A2)) (@ (@ tptp.groups1707563613775114915nt_nat G) A2)))))))
% 14.05/14.29 (assume a8775 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat)) (G (-> tptp.real tptp.nat))) (=> (@ tptp.finite_finite_real A2) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_nat (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_real)) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups4696554848551431203al_nat F) A2)) (@ (@ tptp.groups4696554848551431203al_nat G) A2)))))))
% 14.05/14.29 (assume a8776 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.int)) (G (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) A2) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F I4)) (@ (@ tptp.ord_less_int (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (@ (@ tptp.ord_less_int (@ (@ tptp.groups858564598930262913ex_int F) A2)) (@ (@ tptp.groups858564598930262913ex_int G) A2)))))))
% 14.05/14.29 (assume a8777 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.int)) (G (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real A2) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) A2) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F I4)) (@ (@ tptp.ord_less_int (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_real)) (@ (@ tptp.ord_less_int (@ (@ tptp.groups4694064378042380927al_int F) A2)) (@ (@ tptp.groups4694064378042380927al_int G) A2)))))))
% 14.05/14.29 (assume a8778 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A2) (and (@ (@ tptp.ord_less_eq_nat tptp.zero_zero_nat) (@ F I4)) (@ (@ tptp.ord_less_nat (@ F I4)) (@ G I4))))) (=> (not (= A2 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.groups708209901874060359at_nat F) A2)) (@ (@ tptp.groups708209901874060359at_nat G) A2)))))))
% 14.05/14.29 (assume a8779 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.code_integer))) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3455450783089532116nteger F) A2)) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8780 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.code_integer))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups8682486955453173170nteger F) A2)) (exists ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8781 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (exists ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8782 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups858564598930262913ex_int F) A2)) (exists ((X2 tptp.complex)) (and (@ (@ tptp.member_complex X2) A2) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8783 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups708209901874060359at_nat F) A2)) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8784 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups705719431365010083at_int F) A2)) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) A2) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8785 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups1705073143266064639nt_int F) A2)) (exists ((X2 tptp.int)) (and (@ (@ tptp.member_int X2) A2) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ F X2))))))))
% 14.05/14.29 (assume a8786 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups3708469109370488835omplex G) A2) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex)))))))))
% 14.05/14.29 (assume a8787 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups7440179247065528705omplex G) A2) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups7440179247065528705omplex G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))))))
% 14.05/14.29 (assume a8788 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups713298508707869441omplex G) A2) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))))))
% 14.05/14.29 (assume a8789 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.member_nat X) A2) (= (@ (@ tptp.groups6464643781859351333omplex G) A2) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat)))))))))
% 14.05/14.29 (assume a8790 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups766887009212190081x_real G) A2) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex)))))))))
% 14.05/14.29 (assume a8791 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups2316167850115554303t_real G) A2) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups2316167850115554303t_real G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))))))
% 14.05/14.29 (assume a8792 (forall ((A2 tptp.set_real) (X tptp.real) (G (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real A2) (=> (@ (@ tptp.member_real X) A2) (= (@ (@ tptp.groups1681761925125756287l_real G) A2) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real)))))))))
% 14.05/14.29 (assume a8793 (forall ((A2 tptp.set_nat) (X tptp.nat) (G (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat A2) (=> (@ (@ tptp.member_nat X) A2) (= (@ (@ tptp.groups129246275422532515t_real G) A2) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat)))))))))
% 14.05/14.29 (assume a8794 (forall ((A2 tptp.set_complex) (X tptp.complex) (G (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (@ (@ tptp.member_complex X) A2) (= (@ (@ tptp.groups861055069439313189ex_nat G) A2) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups861055069439313189ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex)))))))))
% 14.05/14.29 (assume a8795 (forall ((A2 tptp.set_int) (X tptp.int) (G (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A2) (=> (@ (@ tptp.member_int X) A2) (= (@ (@ tptp.groups1707563613775114915nt_nat G) A2) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups1707563613775114915nt_nat G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int)))))))))
% 14.05/14.29 (assume a8796 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.complex)) (X tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups3708469109370488835omplex G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))))))))
% 14.05/14.29 (assume a8797 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.complex)) (X tptp.int)) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups7440179247065528705omplex G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups7440179247065528705omplex G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))))
% 14.05/14.29 (assume a8798 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.complex)) (X tptp.real)) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups713298508707869441omplex G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))))
% 14.05/14.29 (assume a8799 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.complex)) (X tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.times_times_complex (@ G X)) (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))
% 14.05/14.29 (assume a8800 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.real)) (X tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups766887009212190081x_real G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))))))))
% 14.05/14.29 (assume a8801 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.real)) (X tptp.int)) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups2316167850115554303t_real G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups2316167850115554303t_real G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))))
% 14.05/14.29 (assume a8802 (forall ((A2 tptp.set_real) (G (-> tptp.real tptp.real)) (X tptp.real)) (=> (@ tptp.finite_finite_real A2) (= (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.insert_real X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups1681761925125756287l_real G) (@ (@ tptp.minus_minus_set_real A2) (@ (@ tptp.insert_real X) tptp.bot_bot_set_real))))))))
% 14.05/14.29 (assume a8803 (forall ((A2 tptp.set_nat) (G (-> tptp.nat tptp.real)) (X tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.insert_nat X) A2)) (@ (@ tptp.times_times_real (@ G X)) (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.minus_minus_set_nat A2) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))
% 14.05/14.29 (assume a8804 (forall ((A2 tptp.set_complex) (G (-> tptp.complex tptp.nat)) (X tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.groups861055069439313189ex_nat G) (@ (@ tptp.insert_complex X) A2)) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups861055069439313189ex_nat G) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex X) tptp.bot_bot_set_complex))))))))
% 14.05/14.29 (assume a8805 (forall ((A2 tptp.set_int) (G (-> tptp.int tptp.nat)) (X tptp.int)) (=> (@ tptp.finite_finite_int A2) (= (@ (@ tptp.groups1707563613775114915nt_nat G) (@ (@ tptp.insert_int X) A2)) (@ (@ tptp.times_times_nat (@ G X)) (@ (@ tptp.groups1707563613775114915nt_nat G) (@ (@ tptp.minus_minus_set_int A2) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))))))))
% 14.05/14.29 (assume a8806 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.complex)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.times_times_complex (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 14.05/14.29 (assume a8807 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.real)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.times_times_real (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 14.05/14.29 (assume a8808 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.nat)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.times_times_nat (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 14.05/14.29 (assume a8809 (forall ((M tptp.nat) (N2 tptp.nat) (G (-> tptp.nat tptp.int)) (P5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) (@ (@ tptp.plus_plus_nat N2) P5))) (@ (@ tptp.times_times_int (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat M) N2))) (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) P5))))))))
% 14.05/14.29 (assume a8810 (forall ((X (-> tptp.nat tptp.nat tptp.nat)) (Xa2 tptp.nat) (Xb tptp.nat) (Xc tptp.nat) (Y tptp.nat)) (=> (= (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat X) Xa2) Xb) Xc) Y) (and (=> (@ (@ tptp.ord_less_nat Xb) Xa2) (= Y Xc)) (=> (not (@ (@ tptp.ord_less_nat Xb) Xa2)) (= Y (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat X) (@ (@ tptp.plus_plus_nat Xa2) tptp.one_one_nat)) Xb) (@ (@ X Xa2) Xc))))))))
% 14.05/14.29 (assume a8811 (= tptp.set_fo2584398358068434914at_nat (lambda ((F5 (-> tptp.nat tptp.nat tptp.nat)) (A4 tptp.nat) (B4 tptp.nat) (Acc2 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat B4) A4)) Acc2) (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat F5) (@ (@ tptp.plus_plus_nat A4) tptp.one_one_nat)) B4) (@ (@ F5 A4) Acc2))))))
% 14.05/14.29 (assume a8812 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.complex)) (C (-> tptp.complex tptp.complex))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups3708469109370488835omplex (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_complex (@ B A)) (@ (@ tptp.groups3708469109370488835omplex C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups3708469109370488835omplex (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups3708469109370488835omplex C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))))))
% 14.05/14.29 (assume a8813 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.complex)) (C (-> tptp.int tptp.complex))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups7440179247065528705omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_complex (@ B A)) (@ (@ tptp.groups7440179247065528705omplex C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups7440179247065528705omplex (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups7440179247065528705omplex C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))))))
% 14.05/14.29 (assume a8814 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.complex)) (C (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_complex (@ B A)) (@ (@ tptp.groups713298508707869441omplex C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups713298508707869441omplex C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))))))
% 14.05/14.29 (assume a8815 (forall ((S tptp.set_nat) (A tptp.nat) (B (-> tptp.nat tptp.complex)) (C (-> tptp.nat tptp.complex))) (=> (@ tptp.finite_finite_nat S) (and (=> (@ (@ tptp.member_nat A) S) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_complex (@ B A)) (@ (@ tptp.groups6464643781859351333omplex C) (@ (@ tptp.minus_minus_set_nat S) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)))))) (=> (not (@ (@ tptp.member_nat A) S)) (= (@ (@ tptp.groups6464643781859351333omplex (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_complex (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups6464643781859351333omplex C) (@ (@ tptp.minus_minus_set_nat S) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)))))))))
% 14.05/14.29 (assume a8816 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.real)) (C (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups766887009212190081x_real (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_real (@ B A)) (@ (@ tptp.groups766887009212190081x_real C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups766887009212190081x_real (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups766887009212190081x_real C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))))))
% 14.05/14.29 (assume a8817 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.real)) (C (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups2316167850115554303t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_real (@ B A)) (@ (@ tptp.groups2316167850115554303t_real C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups2316167850115554303t_real (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups2316167850115554303t_real C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))))))
% 14.05/14.29 (assume a8818 (forall ((S tptp.set_real) (A tptp.real) (B (-> tptp.real tptp.real)) (C (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real S) (and (=> (@ (@ tptp.member_real A) S) (= (@ (@ tptp.groups1681761925125756287l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_real (@ B A)) (@ (@ tptp.groups1681761925125756287l_real C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))) (=> (not (@ (@ tptp.member_real A) S)) (= (@ (@ tptp.groups1681761925125756287l_real (lambda ((K3 tptp.real)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups1681761925125756287l_real C) (@ (@ tptp.minus_minus_set_real S) (@ (@ tptp.insert_real A) tptp.bot_bot_set_real)))))))))
% 14.05/14.29 (assume a8819 (forall ((S tptp.set_nat) (A tptp.nat) (B (-> tptp.nat tptp.real)) (C (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat S) (and (=> (@ (@ tptp.member_nat A) S) (= (@ (@ tptp.groups129246275422532515t_real (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_real (@ B A)) (@ (@ tptp.groups129246275422532515t_real C) (@ (@ tptp.minus_minus_set_nat S) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)))))) (=> (not (@ (@ tptp.member_nat A) S)) (= (@ (@ tptp.groups129246275422532515t_real (lambda ((K3 tptp.nat)) (@ (@ (@ tptp.if_real (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups129246275422532515t_real C) (@ (@ tptp.minus_minus_set_nat S) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)))))))))
% 14.05/14.29 (assume a8820 (forall ((S tptp.set_complex) (A tptp.complex) (B (-> tptp.complex tptp.nat)) (C (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex S) (and (=> (@ (@ tptp.member_complex A) S) (= (@ (@ tptp.groups861055069439313189ex_nat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_nat (@ B A)) (@ (@ tptp.groups861055069439313189ex_nat C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))) (=> (not (@ (@ tptp.member_complex A) S)) (= (@ (@ tptp.groups861055069439313189ex_nat (lambda ((K3 tptp.complex)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups861055069439313189ex_nat C) (@ (@ tptp.minus_811609699411566653omplex S) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex)))))))))
% 14.05/14.29 (assume a8821 (forall ((S tptp.set_int) (A tptp.int) (B (-> tptp.int tptp.nat)) (C (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int S) (and (=> (@ (@ tptp.member_int A) S) (= (@ (@ tptp.groups1707563613775114915nt_nat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.times_times_nat (@ B A)) (@ (@ tptp.groups1707563613775114915nt_nat C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))) (=> (not (@ (@ tptp.member_int A) S)) (= (@ (@ tptp.groups1707563613775114915nt_nat (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_nat (= K3 A)) (@ B K3)) (@ C K3)))) S) (@ (@ tptp.groups1707563613775114915nt_nat C) (@ (@ tptp.minus_minus_set_int S) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)))))))))
% 14.05/14.29 (assume a8822 (forall ((I6 tptp.set_real) (Z (-> tptp.real tptp.real)) (W (-> tptp.real tptp.real))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups1681761925125756287l_real Z) I6)) (@ (@ tptp.groups1681761925125756287l_real W) I6)))) (@ (@ tptp.groups8097168146408367636l_real (lambda ((I5 tptp.real)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8823 (forall ((I6 tptp.set_int) (Z (-> tptp.int tptp.real)) (W (-> tptp.int tptp.real))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups2316167850115554303t_real Z) I6)) (@ (@ tptp.groups2316167850115554303t_real W) I6)))) (@ (@ tptp.groups8778361861064173332t_real (lambda ((I5 tptp.int)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8824 (forall ((I6 tptp.set_complex) (Z (-> tptp.complex tptp.real)) (W (-> tptp.complex tptp.real))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups766887009212190081x_real Z) I6)) (@ (@ tptp.groups766887009212190081x_real W) I6)))) (@ (@ tptp.groups5808333547571424918x_real (lambda ((I5 tptp.complex)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8825 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (Z (-> tptp.product_prod_nat_nat tptp.real)) (W (-> tptp.product_prod_nat_nat tptp.real))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups6036352826371341000t_real Z) I6)) (@ (@ tptp.groups6036352826371341000t_real W) I6)))) (@ (@ tptp.groups4567486121110086003t_real (lambda ((I5 tptp.product_prod_nat_nat)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8826 (forall ((I6 tptp.set_real) (Z (-> tptp.real tptp.complex)) (W (-> tptp.real tptp.complex))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups713298508707869441omplex Z) I6)) (@ (@ tptp.groups713298508707869441omplex W) I6)))) (@ (@ tptp.groups8097168146408367636l_real (lambda ((I5 tptp.real)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8827 (forall ((I6 tptp.set_int) (Z (-> tptp.int tptp.complex)) (W (-> tptp.int tptp.complex))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups7440179247065528705omplex Z) I6)) (@ (@ tptp.groups7440179247065528705omplex W) I6)))) (@ (@ tptp.groups8778361861064173332t_real (lambda ((I5 tptp.int)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8828 (forall ((I6 tptp.set_complex) (Z (-> tptp.complex tptp.complex)) (W (-> tptp.complex tptp.complex))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups3708469109370488835omplex Z) I6)) (@ (@ tptp.groups3708469109370488835omplex W) I6)))) (@ (@ tptp.groups5808333547571424918x_real (lambda ((I5 tptp.complex)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8829 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (Z (-> tptp.product_prod_nat_nat tptp.complex)) (W (-> tptp.product_prod_nat_nat tptp.complex))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups8110221916422527690omplex Z) I6)) (@ (@ tptp.groups8110221916422527690omplex W) I6)))) (@ (@ tptp.groups4567486121110086003t_real (lambda ((I5 tptp.product_prod_nat_nat)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8830 (forall ((I6 tptp.set_nat) (Z (-> tptp.nat tptp.real)) (W (-> tptp.nat tptp.real))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ (@ tptp.groups129246275422532515t_real Z) I6)) (@ (@ tptp.groups129246275422532515t_real W) I6)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.minus_minus_real (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8831 (forall ((I6 tptp.set_nat) (Z (-> tptp.nat tptp.complex)) (W (-> tptp.nat tptp.complex))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ Z I4))) tptp.one_one_real))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ W I4))) tptp.one_one_real))) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups6464643781859351333omplex Z) I6)) (@ (@ tptp.groups6464643781859351333omplex W) I6)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.minus_minus_complex (@ Z I5)) (@ W I5))))) I6))))))
% 14.05/14.29 (assume a8832 (forall ((C (-> tptp.nat tptp.complex)) (N2 tptp.nat) (K tptp.nat)) (=> (forall ((W2 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex W2) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ C K) tptp.zero_zero_complex)))))
% 14.05/14.29 (assume a8833 (forall ((C (-> tptp.nat tptp.real)) (N2 tptp.nat) (K tptp.nat)) (=> (forall ((W2 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real W2) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ C K) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a8834 (forall ((C (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (forall ((X2 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I5) N2) (= (@ C I5) tptp.zero_zero_complex))))))
% 14.05/14.29 (assume a8835 (forall ((C (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (forall ((X2 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I5) N2) (= (@ C I5) tptp.zero_zero_real))))))
% 14.05/14.29 (assume a8836 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_complex (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8837 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_int (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8838 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_nat (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8839 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_real (@ G tptp.zero_zero_nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ G (@ tptp.suc I5)))) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.29 (assume a8840 (forall ((F (-> tptp.nat tptp.complex)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex F) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups2073611262835488442omplex F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ (@ tptp.plus_plus_nat M) N2)))))))
% 14.05/14.29 (assume a8841 (forall ((F (-> tptp.nat tptp.int)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.plus_plus_int (@ (@ tptp.groups3539618377306564664at_int F) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups3539618377306564664at_int F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ (@ tptp.plus_plus_nat M) N2)))))))
% 14.05/14.29 (assume a8842 (forall ((F (-> tptp.nat tptp.nat)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.groups3542108847815614940at_nat F) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups3542108847815614940at_nat F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ (@ tptp.plus_plus_nat M) N2)))))))
% 14.05/14.29 (assume a8843 (forall ((F (-> tptp.nat tptp.real)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real F) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc M)) (@ (@ tptp.plus_plus_nat M) N2)))))))
% 14.05/14.29 (assume a8844 (forall ((N2 tptp.nat)) (= (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.minus_minus_set_nat (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat)))))
% 14.05/14.29 (assume a8845 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex A) (@ tptp.semiri8010041392384452111omplex K3))) K3))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex A) (@ tptp.semiri8010041392384452111omplex N2))) tptp.one_one_complex)) N2))))
% 14.05/14.29 (assume a8846 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real A) (@ tptp.semiri5074537144036343181t_real K3))) K3))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real A) (@ tptp.semiri5074537144036343181t_real N2))) tptp.one_one_real)) N2))))
% 14.05/14.29 (assume a8847 (forall ((G (-> tptp.nat tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups977919841031483927at_nat (@ tptp.produc6842872674320459806at_nat G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8848 (forall ((G (-> tptp.nat tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups4567486121110086003t_real (@ tptp.produc1703576794950452218t_real G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8849 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ tptp.semiri1408675320244567234ct_nat M) (@ (@ tptp.times_times_nat (@ tptp.semiri1408675320244567234ct_nat N2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc N2)) M)))))))
% 14.05/14.29 (assume a8850 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F B3)))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F A3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups2316167850115554303t_real F) A2)) (@ (@ tptp.groups2316167850115554303t_real F) B2))))))))
% 14.05/14.29 (assume a8851 (forall ((B2 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.real))) (=> (@ tptp.finite6177210948735845034at_nat B2) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2) (=> (forall ((B3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat B3) (@ (@ tptp.minus_1356011639430497352at_nat B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F B3)))) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F A3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6036352826371341000t_real F) A2)) (@ (@ tptp.groups6036352826371341000t_real F) B2))))))))
% 14.05/14.29 (assume a8852 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F B3)))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F A3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups766887009212190081x_real F) A2)) (@ (@ tptp.groups766887009212190081x_real F) B2))))))))
% 14.05/14.29 (assume a8853 (forall ((B2 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.int))) (=> (@ tptp.finite6177210948735845034at_nat B2) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A2) B2) (=> (forall ((B3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat B3) (@ (@ tptp.minus_1356011639430497352at_nat B2) A2)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F B3)))) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F A3)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups4075276357253098568at_int F) A2)) (@ (@ tptp.groups4075276357253098568at_int F) B2))))))))
% 14.05/14.29 (assume a8854 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F (-> tptp.complex tptp.int))) (=> (@ tptp.finite3207457112153483333omplex B2) (=> (@ (@ tptp.ord_le211207098394363844omplex A2) B2) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) (@ (@ tptp.minus_811609699411566653omplex B2) A2)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F B3)))) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F A3)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups858564598930262913ex_int F) A2)) (@ (@ tptp.groups858564598930262913ex_int F) B2))))))))
% 14.05/14.29 (assume a8855 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F B3)))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F A3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups1681761925125756287l_real F) A2)) (@ (@ tptp.groups1681761925125756287l_real F) B2))))))))
% 14.05/14.29 (assume a8856 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F (-> tptp.real tptp.int))) (=> (@ tptp.finite_finite_real B2) (=> (@ (@ tptp.ord_less_eq_set_real A2) B2) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) (@ (@ tptp.minus_minus_set_real B2) A2)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F B3)))) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F A3)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups4694064378042380927al_int F) A2)) (@ (@ tptp.groups4694064378042380927al_int F) B2))))))))
% 14.05/14.29 (assume a8857 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (forall ((B3 tptp.nat)) (=> (@ (@ tptp.member_nat B3) (@ (@ tptp.minus_minus_set_nat B2) A2)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F B3)))) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F A3)))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups129246275422532515t_real F) A2)) (@ (@ tptp.groups129246275422532515t_real F) B2))))))))
% 14.05/14.29 (assume a8858 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat B2) (=> (@ (@ tptp.ord_less_eq_set_nat A2) B2) (=> (forall ((B3 tptp.nat)) (=> (@ (@ tptp.member_nat B3) (@ (@ tptp.minus_minus_set_nat B2) A2)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F B3)))) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F A3)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups705719431365010083at_int F) A2)) (@ (@ tptp.groups705719431365010083at_int F) B2))))))))
% 14.05/14.29 (assume a8859 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int B2) (=> (@ (@ tptp.ord_less_eq_set_int A2) B2) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) (@ (@ tptp.minus_minus_set_int B2) A2)) (@ (@ tptp.ord_less_eq_int tptp.one_one_int) (@ F B3)))) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A2) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ F A3)))) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.groups1705073143266064639nt_int F) A2)) (@ (@ tptp.groups1705073143266064639nt_int F) B2))))))))
% 14.05/14.29 (assume a8860 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat)) (A tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= (@ F A) tptp.zero_zero_nat)) (and (=> (@ (@ tptp.member_complex A) A2) (= (@ (@ tptp.groups861055069439313189ex_nat F) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8861 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.nat)) (A tptp.int)) (=> (@ tptp.finite_finite_int A2) (=> (not (= (@ F A) tptp.zero_zero_nat)) (and (=> (@ (@ 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.divide_divide_nat (@ (@ tptp.groups1707563613775114915nt_nat F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8862 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.nat)) (A tptp.real)) (=> (@ tptp.finite_finite_real A2) (=> (not (= (@ F A) tptp.zero_zero_nat)) (and (=> (@ (@ 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.divide_divide_nat (@ (@ tptp.groups4696554848551431203al_nat F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8863 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.real)) (A tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= (@ F A) tptp.zero_zero_real)) (and (=> (@ (@ tptp.member_complex A) A2) (= (@ (@ tptp.groups766887009212190081x_real F) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex))) (@ (@ tptp.divide_divide_real (@ (@ tptp.groups766887009212190081x_real F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8864 (forall ((A2 tptp.set_int) (F (-> tptp.int tptp.real)) (A tptp.int)) (=> (@ tptp.finite_finite_int A2) (=> (not (= (@ F A) tptp.zero_zero_real)) (and (=> (@ (@ 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.divide_divide_real (@ (@ tptp.groups2316167850115554303t_real F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8865 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real)) (A tptp.real)) (=> (@ tptp.finite_finite_real A2) (=> (not (= (@ F A) tptp.zero_zero_real)) (and (=> (@ (@ 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.divide_divide_real (@ (@ tptp.groups1681761925125756287l_real F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8866 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.real)) (A tptp.nat)) (=> (@ tptp.finite_finite_nat A2) (=> (not (= (@ F A) tptp.zero_zero_real)) (and (=> (@ (@ 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.divide_divide_real (@ (@ tptp.groups129246275422532515t_real F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8867 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.int)) (A tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= (@ F A) tptp.zero_zero_int)) (and (=> (@ (@ tptp.member_complex A) A2) (= (@ (@ tptp.groups858564598930262913ex_int F) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex))) (@ (@ tptp.divide_divide_int (@ (@ tptp.groups858564598930262913ex_int F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8868 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.int)) (A tptp.real)) (=> (@ tptp.finite_finite_real A2) (=> (not (= (@ F A) tptp.zero_zero_int)) (and (=> (@ (@ 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.divide_divide_int (@ (@ tptp.groups4694064378042380927al_int F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8869 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.complex)) (A tptp.complex)) (=> (@ tptp.finite3207457112153483333omplex A2) (=> (not (= (@ F A) tptp.zero_zero_complex)) (and (=> (@ (@ tptp.member_complex A) A2) (= (@ (@ tptp.groups3708469109370488835omplex F) (@ (@ tptp.minus_811609699411566653omplex A2) (@ (@ tptp.insert_complex A) tptp.bot_bot_set_complex))) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.groups3708469109370488835omplex F) A2)) (@ F A)))) (=> (not (@ (@ 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))))))))
% 14.05/14.29 (assume a8870 (forall ((X tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)) (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex X) (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8871 (forall ((X tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int tptp.one_one_int) X)) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.minus_minus_int tptp.one_one_int) (@ (@ tptp.power_power_int X) (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8872 (forall ((X tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real tptp.one_one_real) X)) (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.suc N2))))))
% 14.05/14.29 (assume a8873 (forall ((C (-> tptp.nat tptp.complex)) (K tptp.nat) (N2 tptp.nat)) (=> (not (= (@ C K) tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex Z5) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex))))))))
% 14.05/14.29 (assume a8874 (forall ((C (-> tptp.nat tptp.real)) (K tptp.nat) (N2 tptp.nat)) (=> (not (= (@ C K) tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((Z5 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real Z5) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real))))))))
% 14.05/14.29 (assume a8875 (forall ((C (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ tptp.finite3207457112153483333omplex (@ tptp.collect_complex (lambda ((X2 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex)))) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat I5) N2) (not (= (@ C I5) tptp.zero_zero_complex)))))))
% 14.05/14.29 (assume a8876 (forall ((C (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ tptp.finite_finite_real (@ tptp.collect_real (lambda ((X2 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real)))) (exists ((I5 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat I5) N2) (not (= (@ C I5) tptp.zero_zero_real)))))))
% 14.05/14.29 (assume a8877 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real A) (@ tptp.suc N2)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_real A) (@ tptp.semiri5074537144036343181t_real I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8878 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex A) (@ tptp.suc N2)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_complex A) (@ tptp.semiri8010041392384452111omplex I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8879 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger A) (@ tptp.suc N2)) (@ (@ tptp.groups3455450783089532116nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ tptp.semiri4939895301339042750nteger I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8880 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat A) (@ tptp.suc N2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat A) (@ tptp.semiri1316708129612266289at_nat I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8881 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int A) (@ tptp.suc N2)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int A) (@ tptp.semiri1314217659103216013at_int I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8882 (forall ((C (-> tptp.nat tptp.complex)) (A tptp.complex) (N2 tptp.nat)) (=> (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex A) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex) (not (forall ((B3 (-> tptp.nat tptp.complex))) (not (forall ((Z3 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex Z3) A)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ B3 I5)) (@ (@ tptp.power_power_complex Z3) I5)))) (@ tptp.set_ord_lessThan_nat N2)))))))))))
% 14.05/14.29 (assume a8883 (forall ((C (-> tptp.nat tptp.int)) (A tptp.int) (N2 tptp.nat)) (=> (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ C I5)) (@ (@ tptp.power_power_int A) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_int) (not (forall ((B3 (-> tptp.nat tptp.int))) (not (forall ((Z3 tptp.int)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ C I5)) (@ (@ tptp.power_power_int Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int Z3) A)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ B3 I5)) (@ (@ tptp.power_power_int Z3) I5)))) (@ tptp.set_ord_lessThan_nat N2)))))))))))
% 14.05/14.29 (assume a8884 (forall ((C (-> tptp.nat tptp.real)) (A tptp.real) (N2 tptp.nat)) (=> (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real A) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real) (not (forall ((B3 (-> tptp.nat tptp.real))) (not (forall ((Z3 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real Z3) A)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ B3 I5)) (@ (@ tptp.power_power_real Z3) I5)))) (@ tptp.set_ord_lessThan_nat N2)))))))))))
% 14.05/14.29 (assume a8885 (forall ((C (-> tptp.nat tptp.complex)) (N2 tptp.nat) (A tptp.complex)) (exists ((B3 (-> tptp.nat tptp.complex))) (forall ((Z3 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex Z3) A)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ B3 I5)) (@ (@ tptp.power_power_complex Z3) I5)))) (@ tptp.set_ord_lessThan_nat N2)))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex A) I5)))) (@ tptp.set_ord_atMost_nat N2))))))))
% 14.05/14.29 (assume a8886 (forall ((C (-> tptp.nat tptp.int)) (N2 tptp.nat) (A tptp.int)) (exists ((B3 (-> tptp.nat tptp.int))) (forall ((Z3 tptp.int)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ C I5)) (@ (@ tptp.power_power_int Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int Z3) A)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ B3 I5)) (@ (@ tptp.power_power_int Z3) I5)))) (@ tptp.set_ord_lessThan_nat N2)))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ C I5)) (@ (@ tptp.power_power_int A) I5)))) (@ tptp.set_ord_atMost_nat N2))))))))
% 14.05/14.29 (assume a8887 (forall ((C (-> tptp.nat tptp.real)) (N2 tptp.nat) (A tptp.real)) (exists ((B3 (-> tptp.nat tptp.real))) (forall ((Z3 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real Z3) A)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ B3 I5)) (@ (@ tptp.power_power_real Z3) I5)))) (@ tptp.set_ord_lessThan_nat N2)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real A) I5)))) (@ tptp.set_ord_atMost_nat N2))))))))
% 14.05/14.29 (assume a8888 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) M)) (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat N2) M))))))))
% 14.05/14.29 (assume a8889 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int X) M)) (@ (@ tptp.groups3539618377306564664at_int (@ tptp.power_power_int X)) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat N2) M))))))))
% 14.05/14.29 (assume a8890 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) M)) (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat N2) M))))))))
% 14.05/14.29 (assume a8891 (= tptp.comm_s7457072308508201937r_real (lambda ((A4 tptp.real) (N tptp.nat)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_real A4) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.minus_minus_nat N) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 14.05/14.29 (assume a8892 (= tptp.comm_s2602460028002588243omplex (lambda ((A4 tptp.complex) (N tptp.nat)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_complex A4) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.minus_minus_nat N) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 14.05/14.29 (assume a8893 (= tptp.comm_s8582702949713902594nteger (lambda ((A4 tptp.code_integer) (N tptp.nat)) (@ (@ tptp.groups3455450783089532116nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_p5714425477246183910nteger A4) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.minus_minus_nat N) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 14.05/14.29 (assume a8894 (= tptp.comm_s4663373288045622133er_nat (lambda ((A4 tptp.nat) (N tptp.nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat A4) (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.minus_minus_nat N) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 14.05/14.29 (assume a8895 (= tptp.comm_s4660882817536571857er_int (lambda ((A4 tptp.int) (N tptp.nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int A4) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.minus_minus_nat N) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 14.05/14.29 (assume a8896 (forall ((N2 tptp.nat) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) M) (= (@ (@ tptp.divide_divide_nat (@ tptp.semiri1408675320244567234ct_nat M)) (@ tptp.semiri1408675320244567234ct_nat N2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)) M))))))
% 14.05/14.29 (assume a8897 (forall ((G (-> tptp.nat tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups977919841031483927at_nat (@ tptp.produc6842872674320459806at_nat G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8898 (forall ((G (-> tptp.nat tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups4567486121110086003t_real (@ tptp.produc1703576794950452218t_real G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a8899 (forall ((A (-> tptp.nat tptp.complex)) (B (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ A K3)))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ B K3)))) (@ tptp.summable_complex (lambda ((K3 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ B (@ (@ tptp.minus_minus_nat K3) I5))))) (@ tptp.set_ord_atMost_nat K3))))))))
% 14.05/14.29 (assume a8900 (forall ((A (-> tptp.nat tptp.real)) (B (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ A K3)))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ B K3)))) (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ B (@ (@ tptp.minus_minus_nat K3) I5))))) (@ tptp.set_ord_atMost_nat K3))))))))
% 14.05/14.29 (assume a8901 (forall ((A (-> tptp.nat tptp.complex)) (B (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ A K3)))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ B K3)))) (= (@ (@ tptp.times_times_complex (@ tptp.suminf_complex A)) (@ tptp.suminf_complex B)) (@ tptp.suminf_complex (lambda ((K3 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ B (@ (@ tptp.minus_minus_nat K3) I5))))) (@ tptp.set_ord_atMost_nat K3)))))))))
% 14.05/14.29 (assume a8902 (forall ((A (-> tptp.nat tptp.real)) (B (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ A K3)))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ B K3)))) (= (@ (@ tptp.times_times_real (@ tptp.suminf_real A)) (@ tptp.suminf_real B)) (@ tptp.suminf_real (lambda ((K3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ B (@ (@ tptp.minus_minus_nat K3) I5))))) (@ tptp.set_ord_atMost_nat K3)))))))))
% 14.05/14.29 (assume a8903 (forall ((G (-> tptp.nat tptp.complex)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups6464643781859351333omplex G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8904 (forall ((G (-> tptp.nat tptp.real)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups129246275422532515t_real G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8905 (forall ((G (-> tptp.nat tptp.nat)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_nat (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8906 (forall ((G (-> tptp.nat tptp.int)) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int G) (@ (@ tptp.set_or1269000886237332187st_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ (@ tptp.set_or1269000886237332187st_nat M) N2)))))
% 14.05/14.29 (assume a8907 (forall ((F (-> tptp.nat tptp.extended_enat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups7108830773950497114d_enat F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo2538466533108834004d_enat (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.extended_enat)) (@ (@ tptp.plus_p3455044024723400733d_enat (@ F A4)) __flatten_var_0))) A) B) tptp.zero_z5237406670263579293d_enat))))
% 14.05/14.29 (assume a8908 (forall ((F (-> tptp.nat tptp.complex)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo1517530859248394432omplex (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.complex)) (@ (@ tptp.plus_plus_complex (@ F A4)) __flatten_var_0))) A) B) tptp.zero_zero_complex))))
% 14.05/14.29 (assume a8909 (forall ((F (-> tptp.nat tptp.int)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo2581907887559384638at_int (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.int)) (@ (@ tptp.plus_plus_int (@ F A4)) __flatten_var_0))) A) B) tptp.zero_zero_int))))
% 14.05/14.29 (assume a8910 (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ F A4)) __flatten_var_0))) A) B) tptp.zero_zero_nat))))
% 14.05/14.29 (assume a8911 (forall ((F (-> tptp.nat tptp.real)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real F) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ (@ (@ tptp.set_fo3111899725591712190t_real (lambda ((A4 tptp.nat) (__flatten_var_0 tptp.real)) (@ (@ tptp.plus_plus_real (@ F A4)) __flatten_var_0))) A) B) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8912 (forall ((G (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_complex (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8913 (forall ((G (-> tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups3539618377306564664at_int G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8914 (forall ((G (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8915 (forall ((G (-> tptp.nat tptp.real)) (N2 tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real G) (@ tptp.set_ord_atMost_nat (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_real (@ G (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ G (@ tptp.suc (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a8916 (forall ((M tptp.nat) (A (-> tptp.nat tptp.complex)) (N2 tptp.nat) (B (-> tptp.nat tptp.complex)) (X tptp.complex)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) I4) (= (@ A I4) tptp.zero_zero_complex))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) J2) (= (@ B J2) tptp.zero_zero_complex))) (= (@ (@ tptp.times_times_complex (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ (@ tptp.power_power_complex X) I5)))) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_complex (@ B J3)) (@ (@ tptp.power_power_complex X) J3)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((R4 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ A K3)) (@ B (@ (@ tptp.minus_minus_nat R4) K3))))) (@ tptp.set_ord_atMost_nat R4))) (@ (@ tptp.power_power_complex X) R4)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))))))))
% 14.05/14.29 (assume a8917 (forall ((M tptp.nat) (A (-> tptp.nat tptp.int)) (N2 tptp.nat) (B (-> tptp.nat tptp.int)) (X tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) I4) (= (@ A I4) tptp.zero_zero_int))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) J2) (= (@ B J2) tptp.zero_zero_int))) (= (@ (@ tptp.times_times_int (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ (@ tptp.power_power_int X) I5)))) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_int (@ B J3)) (@ (@ tptp.power_power_int X) J3)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((R4 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_int (@ A K3)) (@ B (@ (@ tptp.minus_minus_nat R4) K3))))) (@ tptp.set_ord_atMost_nat R4))) (@ (@ tptp.power_power_int X) R4)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))))))))
% 14.05/14.29 (assume a8918 (forall ((M tptp.nat) (A (-> tptp.nat tptp.real)) (N2 tptp.nat) (B (-> tptp.nat tptp.real)) (X tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) I4) (= (@ A I4) tptp.zero_zero_real))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) J2) (= (@ B J2) tptp.zero_zero_real))) (= (@ (@ tptp.times_times_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ (@ tptp.power_power_real X) I5)))) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_real (@ B J3)) (@ (@ tptp.power_power_real X) J3)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((R4 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ A K3)) (@ B (@ (@ tptp.minus_minus_nat R4) K3))))) (@ tptp.set_ord_atMost_nat R4))) (@ (@ tptp.power_power_real X) R4)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))))))))
% 14.05/14.29 (assume a8919 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real A) (@ tptp.suc N2)) (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_real A) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.minus_minus_nat N2) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8920 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex A) (@ tptp.suc N2)) (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_complex A) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.minus_minus_nat N2) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8921 (forall ((A tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger A) (@ tptp.suc N2)) (@ (@ tptp.groups3455450783089532116nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_p5714425477246183910nteger A) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.minus_minus_nat N2) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8922 (forall ((A tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4663373288045622133er_nat A) (@ tptp.suc N2)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat A) (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.minus_minus_nat N2) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8923 (forall ((A tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int A) (@ tptp.suc N2)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_int A) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.minus_minus_nat N2) I5))))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a8924 (forall ((C (-> tptp.nat tptp.complex)) (N2 tptp.nat) (K tptp.complex)) (= (forall ((X2 tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) K)) (and (= (@ C tptp.zero_zero_nat) K) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N2)) (= (@ C X2) tptp.zero_zero_complex)))))))
% 14.05/14.29 (assume a8925 (forall ((C (-> tptp.nat tptp.real)) (N2 tptp.nat) (K tptp.real)) (= (forall ((X2 tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real X2) I5)))) (@ tptp.set_ord_atMost_nat N2)) K)) (and (= (@ C tptp.zero_zero_nat) K) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N2)) (= (@ C X2) tptp.zero_zero_real)))))))
% 14.05/14.29 (assume a8926 (forall ((A tptp.complex) (M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex A) K3)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K3)))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) M)) (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex A) tptp.one_one_complex)) M)))))
% 14.05/14.29 (assume a8927 (forall ((A tptp.real) (M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real A) K3)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) M)) (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real A) tptp.one_one_real)) M)))))
% 14.05/14.29 (assume a8928 (forall ((M tptp.nat) (A (-> tptp.nat tptp.nat)) (N2 tptp.nat) (B (-> tptp.nat tptp.nat)) (X tptp.nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M) I4) (= (@ A I4) tptp.zero_zero_nat))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) J2) (= (@ B J2) tptp.zero_zero_nat))) (= (@ (@ tptp.times_times_nat (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_nat (@ A I5)) (@ (@ tptp.power_power_nat X) I5)))) (@ tptp.set_ord_atMost_nat M))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_nat (@ B J3)) (@ (@ tptp.power_power_nat X) J3)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((R4 tptp.nat)) (@ (@ tptp.times_times_nat (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_nat (@ A K3)) (@ B (@ (@ tptp.minus_minus_nat R4) K3))))) (@ tptp.set_ord_atMost_nat R4))) (@ (@ tptp.power_power_nat X) R4)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.plus_plus_nat M) N2))))))))
% 14.05/14.29 (assume a8929 (forall ((A (-> tptp.nat tptp.complex)) (B (-> tptp.nat tptp.complex))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ A K3)))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ B K3)))) (@ (@ tptp.sums_complex (lambda ((K3 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ B (@ (@ tptp.minus_minus_nat K3) I5))))) (@ tptp.set_ord_atMost_nat K3)))) (@ (@ tptp.times_times_complex (@ tptp.suminf_complex A)) (@ tptp.suminf_complex B)))))))
% 14.05/14.29 (assume a8930 (forall ((A (-> tptp.nat tptp.real)) (B (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ A K3)))) (=> (@ tptp.summable_real (lambda ((K3 tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ B K3)))) (@ (@ tptp.sums_real (lambda ((K3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ B (@ (@ tptp.minus_minus_nat K3) I5))))) (@ tptp.set_ord_atMost_nat K3)))) (@ (@ tptp.times_times_real (@ tptp.suminf_real A)) (@ tptp.suminf_real B)))))))
% 14.05/14.29 (assume a8931 (forall ((A tptp.complex) (K tptp.nat)) (= (@ (@ tptp.gbinomial_complex A) (@ tptp.suc K)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.groups6464643781859351333omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_complex A) (@ tptp.semiri8010041392384452111omplex I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (@ tptp.semiri5044797733671781792omplex (@ tptp.suc K))))))
% 14.05/14.29 (assume a8932 (forall ((A tptp.code_integer) (K tptp.nat)) (= (@ (@ tptp.gbinom8545251970709558553nteger A) (@ tptp.suc K)) (@ (@ tptp.divide6298287555418463151nteger (@ (@ tptp.groups3455450783089532116nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_8373710615458151222nteger A) (@ tptp.semiri4939895301339042750nteger I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (@ tptp.semiri3624122377584611663nteger (@ tptp.suc K))))))
% 14.05/14.29 (assume a8933 (forall ((A tptp.real) (K tptp.nat)) (= (@ (@ tptp.gbinomial_real A) (@ tptp.suc K)) (@ (@ tptp.divide_divide_real (@ (@ tptp.groups129246275422532515t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_real A) (@ tptp.semiri5074537144036343181t_real I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (@ tptp.semiri2265585572941072030t_real (@ tptp.suc K))))))
% 14.05/14.29 (assume a8934 (forall ((A tptp.nat) (K tptp.nat)) (= (@ (@ tptp.gbinomial_nat A) (@ tptp.suc K)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_nat A) (@ tptp.semiri1316708129612266289at_nat I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (@ tptp.semiri1408675320244567234ct_nat (@ tptp.suc K))))))
% 14.05/14.29 (assume a8935 (forall ((A tptp.int) (K tptp.nat)) (= (@ (@ tptp.gbinomial_int A) (@ tptp.suc K)) (@ (@ tptp.divide_divide_int (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_int A) (@ tptp.semiri1314217659103216013at_int I5)))) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (@ tptp.semiri1406184849735516958ct_int (@ tptp.suc K))))))
% 14.05/14.29 (assume a8936 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.extended_enat)) (H2 (-> tptp.nat tptp.extended_enat))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups7108830773950497114d_enat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_Extended_enat (= J3 K)) tptp.zero_z5237406670263579293d_enat) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups7108830773950497114d_enat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_Extended_enat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8937 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.complex)) (H2 (-> tptp.nat tptp.complex))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_complex (= J3 K)) tptp.zero_zero_complex) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8938 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.int)) (H2 (-> tptp.nat tptp.int))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_int (= J3 K)) tptp.zero_zero_int) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8939 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.nat)) (H2 (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_nat (= J3 K)) tptp.zero_zero_nat) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8940 (forall ((P5 tptp.nat) (K tptp.nat) (G (-> tptp.nat tptp.real)) (H2 (-> tptp.nat tptp.real))) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) P5) (=> (@ (@ tptp.ord_less_eq_nat K) P5) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ (@ (@ tptp.if_real (= J3 K)) tptp.zero_zero_real) (@ H2 (@ (@ tptp.minus_minus_nat J3) (@ tptp.suc tptp.zero_zero_nat))))))) (@ tptp.set_ord_atMost_nat P5)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_nat J3) K)) (@ G J3)) (@ H2 J3)))) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat P5) (@ tptp.suc tptp.zero_zero_nat)))))))))
% 14.05/14.29 (assume a8941 (forall ((M tptp.nat) (A tptp.complex) (X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex M)) A)) K3)) (@ (@ tptp.power_power_complex X) K3))) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex (@ tptp.uminus1482373934393186551omplex A)) K3)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex X)) K3))) (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)))))
% 14.05/14.29 (assume a8942 (forall ((M tptp.nat) (A tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real M)) A)) K3)) (@ (@ tptp.power_power_real X) K3))) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real (@ tptp.uminus_uminus_real A)) K3)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real X)) K3))) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)))))
% 14.05/14.29 (assume a8943 (forall ((N2 tptp.nat) (Z tptp.int) (A tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (= (@ (@ tptp.power_power_int Z) N2) A) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ (@ tptp.if_int (= I5 tptp.zero_zero_nat)) (@ tptp.uminus_uminus_int A)) (@ (@ (@ tptp.if_int (= I5 N2)) tptp.one_one_int) tptp.zero_zero_int))) (@ (@ tptp.power_power_int Z) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_int)))))
% 14.05/14.29 (assume a8944 (forall ((N2 tptp.nat) (Z tptp.complex) (A tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (= (@ (@ tptp.power_power_complex Z) N2) A) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ (@ tptp.if_complex (= I5 tptp.zero_zero_nat)) (@ tptp.uminus1482373934393186551omplex A)) (@ (@ (@ tptp.if_complex (= I5 N2)) tptp.one_one_complex) tptp.zero_zero_complex))) (@ (@ tptp.power_power_complex Z) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex)))))
% 14.05/14.29 (assume a8945 (forall ((N2 tptp.nat) (Z tptp.code_integer) (A tptp.code_integer)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (= (@ (@ tptp.power_8256067586552552935nteger Z) N2) A) (= (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ (@ tptp.if_Code_integer (= I5 tptp.zero_zero_nat)) (@ tptp.uminus1351360451143612070nteger A)) (@ (@ (@ tptp.if_Code_integer (= I5 N2)) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))) (@ (@ tptp.power_8256067586552552935nteger Z) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_z3403309356797280102nteger)))))
% 14.05/14.29 (assume a8946 (forall ((N2 tptp.nat) (Z tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (= (@ (@ tptp.power_power_real Z) N2) A) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ (@ tptp.if_real (= I5 tptp.zero_zero_nat)) (@ tptp.uminus_uminus_real A)) (@ (@ (@ tptp.if_real (= I5 N2)) tptp.one_one_real) tptp.zero_zero_real))) (@ (@ tptp.power_power_real Z) I5)))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a8947 (forall ((X tptp.complex) (N2 tptp.nat)) (and (=> (= X tptp.one_one_complex) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_atMost_nat N2)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)))) (=> (not (= X tptp.one_one_complex)) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.power_power_complex X)) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex X) (@ tptp.suc N2)))) (@ (@ tptp.minus_minus_complex tptp.one_one_complex) X)))))))
% 14.05/14.29 (assume a8948 (forall ((X tptp.real) (N2 tptp.nat)) (and (=> (= X tptp.one_one_real) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_atMost_nat N2)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)))) (=> (not (= X tptp.one_one_real)) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.power_power_real X)) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.suc N2)))) (@ (@ tptp.minus_minus_real tptp.one_one_real) X)))))))
% 14.05/14.29 (assume a8949 (forall ((M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.gbinomial_complex (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.plus_plus_nat M) K3))) K3)) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) K3)))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) M))))
% 14.05/14.29 (assume a8950 (forall ((M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.divide_divide_real (@ (@ tptp.gbinomial_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat M) K3))) K3)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) K3)))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) M))))
% 14.05/14.29 (assume a8951 (forall ((M tptp.nat) (A tptp.complex) (X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex M)) A)) K3)) (@ (@ tptp.power_power_complex X) K3))) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.gbinomial_complex (@ (@ tptp.minus_minus_complex (@ (@ tptp.plus_plus_complex (@ tptp.semiri8010041392384452111omplex K3)) A)) tptp.one_one_complex)) K3)) (@ (@ tptp.power_power_complex X) K3))) (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)))))
% 14.05/14.29 (assume a8952 (forall ((M tptp.nat) (A tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real M)) A)) K3)) (@ (@ tptp.power_power_real X) K3))) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.gbinomial_real (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real (@ tptp.semiri5074537144036343181t_real K3)) A)) tptp.one_one_real)) K3)) (@ (@ tptp.power_power_real X) K3))) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.minus_minus_nat M) K3))))) (@ tptp.set_ord_atMost_nat M)))))
% 14.05/14.29 (assume a8953 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.complex)) (X tptp.complex) (Y tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ (@ tptp.power_power_complex X) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ (@ tptp.power_power_complex Y) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((J3 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ A (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat J3) K3)) tptp.one_one_nat))) (@ (@ tptp.power_power_complex Y) K3))) (@ (@ tptp.power_power_complex X) J3)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) J3))))) (@ tptp.set_ord_lessThan_nat N2)))))))
% 14.05/14.29 (assume a8954 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.int)) (X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ (@ tptp.power_power_int X) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ (@ tptp.power_power_int Y) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int X) Y)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((J3 tptp.nat)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ A (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat J3) K3)) tptp.one_one_nat))) (@ (@ tptp.power_power_int Y) K3))) (@ (@ tptp.power_power_int X) J3)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) J3))))) (@ tptp.set_ord_lessThan_nat N2)))))))
% 14.05/14.29 (assume a8955 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.real)) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ (@ tptp.power_power_real X) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ (@ tptp.power_power_real Y) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ A (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat J3) K3)) tptp.one_one_nat))) (@ (@ tptp.power_power_real Y) K3))) (@ (@ tptp.power_power_real X) J3)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) J3))))) (@ tptp.set_ord_lessThan_nat N2)))))))
% 14.05/14.29 (assume a8956 (forall ((E tptp.real) (C (-> tptp.nat tptp.complex)) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (exists ((M8 tptp.real)) (forall ((Z3 tptp.complex)) (=> (@ (@ tptp.ord_less_eq_real M8) (@ tptp.real_V1022390504157884413omplex Z3)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ C I5)) (@ (@ tptp.power_power_complex Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)))) (@ (@ tptp.times_times_real E) (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex Z3)) (@ tptp.suc N2))))))))))
% 14.05/14.29 (assume a8957 (forall ((E tptp.real) (C (-> tptp.nat tptp.real)) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (exists ((M8 tptp.real)) (forall ((Z3 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real M8) (@ tptp.real_V7735802525324610683m_real Z3)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ C I5)) (@ (@ tptp.power_power_real Z3) I5)))) (@ tptp.set_ord_atMost_nat N2)))) (@ (@ tptp.times_times_real E) (@ (@ tptp.power_power_real (@ tptp.real_V7735802525324610683m_real Z3)) (@ tptp.suc N2))))))))))
% 14.05/14.29 (assume a8958 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.complex)) (X tptp.complex) (Y tptp.complex)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ (@ tptp.power_power_complex X) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ (@ tptp.power_power_complex Y) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.times_times_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ A I5)) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat I5) J3)) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2))) (@ (@ tptp.power_power_complex X) J3)))) (@ tptp.set_ord_lessThan_nat N2)))))))
% 14.05/14.29 (assume a8959 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.int)) (X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (@ (@ tptp.minus_minus_int (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ (@ tptp.power_power_int X) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ (@ tptp.power_power_int Y) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.times_times_int (@ (@ tptp.minus_minus_int X) Y)) (@ (@ tptp.groups3539618377306564664at_int (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ A I5)) (@ (@ tptp.power_power_int Y) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat I5) J3)) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2))) (@ (@ tptp.power_power_int X) J3)))) (@ tptp.set_ord_lessThan_nat N2)))))))
% 14.05/14.29 (assume a8960 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.real)) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) N2) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ (@ tptp.power_power_real X) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ (@ tptp.power_power_real Y) I5)))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((J3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ A I5)) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat (@ (@ tptp.minus_minus_nat I5) J3)) tptp.one_one_nat))))) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc J3)) N2))) (@ (@ tptp.power_power_real X) J3)))) (@ tptp.set_ord_lessThan_nat N2)))))))
% 14.05/14.29 (assume a8961 (= tptp.semiri1406184849735516958ct_int (lambda ((N tptp.nat)) (@ tptp.semiri1314217659103216013at_int (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat tptp.times_times_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8962 (= tptp.semiri5044797733671781792omplex (lambda ((N tptp.nat)) (@ tptp.semiri8010041392384452111omplex (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat tptp.times_times_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8963 (= tptp.semiri3624122377584611663nteger (lambda ((N tptp.nat)) (@ tptp.semiri4939895301339042750nteger (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat tptp.times_times_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8964 (= tptp.semiri2265585572941072030t_real (lambda ((N tptp.nat)) (@ tptp.semiri5074537144036343181t_real (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat tptp.times_times_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8965 (= tptp.semiri1408675320244567234ct_nat (lambda ((N tptp.nat)) (@ tptp.semiri1316708129612266289at_nat (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat tptp.times_times_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 14.05/14.29 (assume a8966 (forall ((M tptp.nat)) (= (@ (@ tptp.groups2073611262835488442omplex (@ tptp.gbinomial_complex (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.semiri8010041392384452111omplex M))) tptp.one_one_complex))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))))
% 14.05/14.29 (assume a8967 (forall ((M tptp.nat)) (= (@ (@ tptp.groups6591440286371151544t_real (@ tptp.gbinomial_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real M))) tptp.one_one_real))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))))
% 14.05/14.29 (assume a8968 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_int (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial N2) I5))) tptp.zero_zero_int))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8969 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_complex (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) I5))) tptp.zero_zero_complex))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8970 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_Code_integer (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.binomial N2) I5))) tptp.zero_z3403309356797280102nteger))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8971 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_real (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) I5))) tptp.zero_zero_real))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8972 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial N2) I5))) tptp.zero_zero_int))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8973 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) I5))) tptp.zero_zero_complex))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_power_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8974 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.binomial N2) I5))) tptp.zero_z3403309356797280102nteger))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_8256067586552552935nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8975 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) I5)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) I5))) tptp.zero_zero_real))) (@ tptp.set_ord_atMost_nat N2))) (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a8976 (= tptp.archim8280529875227126926d_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.archim2898591450579166408c_real X2))) (@ tptp.archim7802044766580827645g_real X2)) (@ tptp.archim6058952711729229775r_real X2)))))
% 14.05/14.29 (assume a8977 (forall ((X tptp.real) (N2 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ tptp.sin_real X)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.sin_coeff M6)) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))))) (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real X)) N2)))))
% 14.05/14.29 (assume a8978 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)))))
% 14.05/14.29 (assume a8979 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.invers8013647133539491842omplex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex A)) (@ tptp.invers8013647133539491842omplex B)))))
% 14.05/14.29 (assume a8980 (= (@ tptp.inverse_inverse_real tptp.one_one_real) tptp.one_one_real))
% 14.05/14.29 (assume a8981 (= (@ tptp.invers8013647133539491842omplex tptp.one_one_complex) tptp.one_one_complex))
% 14.05/14.29 (assume a8982 (forall ((X tptp.real)) (= (= (@ tptp.inverse_inverse_real X) tptp.one_one_real) (= X tptp.one_one_real))))
% 14.05/14.29 (assume a8983 (forall ((X tptp.complex)) (= (= (@ tptp.invers8013647133539491842omplex X) tptp.one_one_complex) (= X tptp.one_one_complex))))
% 14.05/14.29 (assume a8984 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.inverse_inverse_real (@ (@ tptp.divide_divide_real A) B)) (@ (@ tptp.divide_divide_real B) A))))
% 14.05/14.29 (assume a8985 (forall ((A tptp.complex) (B tptp.complex)) (= (@ tptp.invers8013647133539491842omplex (@ (@ tptp.divide1717551699836669952omplex A) B)) (@ (@ tptp.divide1717551699836669952omplex B) A))))
% 14.05/14.29 (assume a8986 (forall ((N2 tptp.nat)) (= (@ (@ tptp.binomial (@ tptp.suc N2)) N2) (@ tptp.suc N2))))
% 14.05/14.29 (assume a8987 (forall ((N2 tptp.nat)) (= (@ (@ tptp.binomial N2) N2) tptp.one_one_nat)))
% 14.05/14.29 (assume a8988 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.inverse_inverse_real A)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A))))
% 14.05/14.29 (assume a8989 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8990 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.inverse_inverse_real A)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A))))
% 14.05/14.29 (assume a8991 (forall ((A tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real))))
% 14.05/14.29 (assume a8992 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.ord_less_real B) A))))))
% 14.05/14.29 (assume a8993 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (= (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.ord_less_real B) A))))))
% 14.05/14.29 (assume a8994 (forall ((K tptp.nat)) (= (@ (@ tptp.binomial tptp.zero_zero_nat) (@ tptp.suc K)) tptp.zero_zero_nat)))
% 14.05/14.29 (assume a8995 (forall ((N2 tptp.nat)) (= (@ (@ tptp.binomial N2) (@ tptp.suc tptp.zero_zero_nat)) N2)))
% 14.05/14.29 (assume a8996 (forall ((N2 tptp.nat) (K tptp.nat)) (= (= (@ (@ tptp.binomial N2) K) tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat N2) K))))
% 14.05/14.29 (assume a8997 (forall ((N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.binomial (@ tptp.suc N2)) (@ tptp.suc K)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.binomial N2) (@ tptp.suc K))))))
% 14.05/14.29 (assume a8998 (forall ((N2 tptp.nat)) (= (@ (@ tptp.binomial N2) tptp.zero_zero_nat) tptp.one_one_nat)))
% 14.05/14.29 (assume a8999 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (= (@ (@ tptp.groups861055069439313189ex_nat F) A2) tptp.one_one_nat) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) A2) (= (@ F X2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a9000 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (= (= (@ (@ tptp.groups708209901874060359at_nat F) A2) tptp.one_one_nat) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) A2) (= (@ F X2) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a9001 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (= (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.ord_less_eq_real B) A))))))
% 14.05/14.29 (assume a9002 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.ord_less_eq_real B) A))))))
% 14.05/14.29 (assume a9003 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real A) (@ tptp.inverse_inverse_real A)) tptp.one_one_real))))
% 14.05/14.29 (assume a9004 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex A) (@ tptp.invers8013647133539491842omplex A)) tptp.one_one_complex))))
% 14.05/14.29 (assume a9005 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real A)) A) tptp.one_one_real))))
% 14.05/14.29 (assume a9006 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex A)) A) tptp.one_one_complex))))
% 14.05/14.29 (assume a9007 (forall ((W tptp.num)) (= (@ tptp.inverse_inverse_real (@ tptp.numeral_numeral_real W)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real W)))))
% 14.05/14.29 (assume a9008 (forall ((W tptp.num)) (= (@ tptp.invers8013647133539491842omplex (@ tptp.numera6690914467698888265omplex W)) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ tptp.numera6690914467698888265omplex W)))))
% 14.05/14.29 (assume a9009 (forall ((N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.binomial N2) K)) (@ (@ tptp.ord_less_eq_nat K) N2))))
% 14.05/14.29 (assume a9010 (forall ((A2 tptp.set_complex) (F (-> tptp.complex tptp.nat))) (=> (@ tptp.finite3207457112153483333omplex A2) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups861055069439313189ex_nat F) A2)) (forall ((X2 tptp.complex)) (=> (@ (@ tptp.member_complex X2) A2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F X2))))))))
% 14.05/14.29 (assume a9011 (forall ((A2 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A2) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.groups708209901874060359at_nat F) A2)) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) A2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ F X2))))))))
% 14.05/14.29 (assume a9012 (forall ((W tptp.num)) (= (@ tptp.inverse_inverse_real (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.numeral_numeral_real W))))))
% 14.05/14.29 (assume a9013 (forall ((W tptp.num)) (= (@ tptp.invers8013647133539491842omplex (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) (@ tptp.uminus1482373934393186551omplex (@ tptp.numera6690914467698888265omplex W))))))
% 14.05/14.29 (assume a9014 (forall ((X tptp.real)) (= (@ tptp.sqrt (@ tptp.inverse_inverse_real X)) (@ tptp.inverse_inverse_real (@ tptp.sqrt X)))))
% 14.05/14.29 (assume a9015 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ tptp.inverse_inverse_real A)) N2) (@ tptp.inverse_inverse_real (@ (@ tptp.power_power_real A) N2)))))
% 14.05/14.29 (assume a9016 (forall ((A tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ tptp.invers8013647133539491842omplex A)) N2) (@ tptp.invers8013647133539491842omplex (@ (@ tptp.power_power_complex A) N2)))))
% 14.05/14.29 (assume a9017 (forall ((Y tptp.real) (X tptp.real)) (=> (= (@ (@ tptp.times_times_real Y) X) (@ (@ tptp.times_times_real X) Y)) (= (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real Y)) X) (@ (@ tptp.times_times_real X) (@ tptp.inverse_inverse_real Y))))))
% 14.05/14.29 (assume a9018 (forall ((Y tptp.complex) (X tptp.complex)) (=> (= (@ (@ tptp.times_times_complex Y) X) (@ (@ tptp.times_times_complex X) Y)) (= (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex Y)) X) (@ (@ tptp.times_times_complex X) (@ tptp.invers8013647133539491842omplex Y))))))
% 14.05/14.29 (assume a9019 (forall ((N2 tptp.nat)) (= (@ (@ tptp.binomial N2) tptp.one_one_nat) N2)))
% 14.05/14.29 (assume a9020 (forall ((R tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real R) (@ tptp.real_V7735802525324610683m_real X)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) R) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V7735802525324610683m_real (@ tptp.inverse_inverse_real X))) (@ tptp.inverse_inverse_real R))))))
% 14.05/14.29 (assume a9021 (forall ((R tptp.real) (X tptp.complex)) (=> (@ (@ tptp.ord_less_eq_real R) (@ tptp.real_V1022390504157884413omplex X)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) R) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex (@ tptp.invers8013647133539491842omplex X))) (@ tptp.inverse_inverse_real R))))))
% 14.05/14.29 (assume a9022 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) K) (= (@ (@ tptp.binomial N2) K) tptp.zero_zero_nat))))
% 14.05/14.29 (assume a9023 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real B) A)))))
% 14.05/14.29 (assume a9024 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real B)) (@ tptp.inverse_inverse_real A))))))
% 14.05/14.29 (assume a9025 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real B) A)))))
% 14.05/14.29 (assume a9026 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real B)) (@ tptp.inverse_inverse_real A))))))
% 14.05/14.29 (assume a9027 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) tptp.zero_zero_real) (=> (not (= A tptp.zero_zero_real)) (@ (@ tptp.ord_less_real A) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9028 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.inverse_inverse_real A)) (=> (not (= A tptp.zero_zero_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) A)))))
% 14.05/14.29 (assume a9029 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9030 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.inverse_inverse_real A)))))
% 14.05/14.29 (assume a9031 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real B)) (@ tptp.inverse_inverse_real A)))))))
% 14.05/14.29 (assume a9032 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ tptp.invers8013647133539491842omplex (@ (@ tptp.times_times_complex A) B)) (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex B)) (@ tptp.invers8013647133539491842omplex A)))))))
% 14.05/14.29 (assume a9033 (forall ((K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.suc K)) (@ (@ tptp.binomial (@ tptp.suc N2)) (@ tptp.suc K))) (@ (@ tptp.times_times_nat (@ tptp.suc N2)) (@ (@ tptp.binomial N2) K)))))
% 14.05/14.29 (assume a9034 (forall ((N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.suc N2)) (@ (@ tptp.binomial N2) K)) (@ (@ tptp.times_times_nat (@ (@ tptp.binomial (@ tptp.suc N2)) (@ tptp.suc K))) (@ tptp.suc K)))))
% 14.05/14.29 (assume a9035 (= (@ tptp.inverse_inverse_real (@ tptp.numeral_numeral_real tptp.one)) (@ tptp.numeral_numeral_real tptp.one)))
% 14.05/14.29 (assume a9036 (= (@ tptp.invers8013647133539491842omplex (@ tptp.numera6690914467698888265omplex tptp.one)) (@ tptp.numera6690914467698888265omplex tptp.one)))
% 14.05/14.29 (assume a9037 (forall ((A tptp.real) (B tptp.real)) (=> (= (@ (@ tptp.times_times_real A) B) tptp.one_one_real) (= (@ tptp.inverse_inverse_real A) B))))
% 14.05/14.29 (assume a9038 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (@ (@ tptp.times_times_complex A) B) tptp.one_one_complex) (= (@ tptp.invers8013647133539491842omplex A) B))))
% 14.05/14.29 (assume a9039 (= tptp.divide_divide_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real B4)) A4))))
% 14.05/14.29 (assume a9040 (= tptp.divide1717551699836669952omplex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex B4)) A4))))
% 14.05/14.29 (assume a9041 (= tptp.divide_divide_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.times_times_real A4) (@ tptp.inverse_inverse_real B4)))))
% 14.05/14.29 (assume a9042 (= tptp.divide1717551699836669952omplex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.times_times_complex A4) (@ tptp.invers8013647133539491842omplex B4)))))
% 14.05/14.29 (assume a9043 (= tptp.divide_divide_real (lambda ((A4 tptp.real) (B4 tptp.real)) (@ (@ tptp.times_times_real A4) (@ tptp.inverse_inverse_real B4)))))
% 14.05/14.29 (assume a9044 (= tptp.divide1717551699836669952omplex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.times_times_complex A4) (@ tptp.invers8013647133539491842omplex B4)))))
% 14.05/14.29 (assume a9045 (forall ((M tptp.nat) (R tptp.nat) (K tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat M) R)) K)) (@ (@ tptp.plus_plus_nat M) K))) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat M) K)) K)) (@ (@ tptp.times_times_nat (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat M) R)) K)) K)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat M) R)) M)))))
% 14.05/14.29 (assume a9046 (forall ((X tptp.real) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) M)) (@ (@ tptp.power_power_real (@ tptp.inverse_inverse_real X)) N2)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.inverse_inverse_real X)) N2)) (@ (@ tptp.power_power_real X) M)))))
% 14.05/14.29 (assume a9047 (forall ((X tptp.complex) (M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) M)) (@ (@ tptp.power_power_complex (@ tptp.invers8013647133539491842omplex X)) N2)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.invers8013647133539491842omplex X)) N2)) (@ (@ tptp.power_power_complex X) M)))))
% 14.05/14.29 (assume a9048 (forall ((X tptp.real) (M tptp.nat)) (= (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) M)) (@ tptp.inverse_inverse_real X)) (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real X)) (@ (@ tptp.power_power_real X) M)))))
% 14.05/14.29 (assume a9049 (forall ((X tptp.complex) (M tptp.nat)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) M)) (@ tptp.invers8013647133539491842omplex X)) (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex X)) (@ (@ tptp.power_power_complex X) M)))))
% 14.05/14.29 (assume a9050 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.binomial N2) K) (@ (@ tptp.binomial N2) (@ (@ tptp.minus_minus_nat N2) K))))))
% 14.05/14.29 (assume a9051 (= tptp.inverse_inverse_real (@ tptp.divide_divide_real tptp.one_one_real)))
% 14.05/14.29 (assume a9052 (= tptp.invers8013647133539491842omplex (@ tptp.divide1717551699836669952omplex tptp.one_one_complex)))
% 14.05/14.29 (assume a9053 (forall ((R tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat R) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.binomial N2) R)) (@ (@ tptp.power_power_nat N2) R)))))
% 14.05/14.29 (assume a9054 (forall ((Xa2 tptp.nat) (X tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real Xa2))) X) (@ (@ tptp.times_times_real X) (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real Xa2))))))
% 14.05/14.29 (assume a9055 (forall ((Xa2 tptp.nat) (X tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex (@ tptp.semiri8010041392384452111omplex Xa2))) X) (@ (@ tptp.times_times_complex X) (@ tptp.invers8013647133539491842omplex (@ tptp.semiri8010041392384452111omplex Xa2))))))
% 14.05/14.29 (assume a9056 (forall ((Xa2 tptp.int) (X tptp.real)) (= (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real (@ tptp.ring_1_of_int_real Xa2))) X) (@ (@ tptp.times_times_real X) (@ tptp.inverse_inverse_real (@ tptp.ring_1_of_int_real Xa2))))))
% 14.05/14.29 (assume a9057 (forall ((Xa2 tptp.int) (X tptp.complex)) (= (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex (@ tptp.ring_17405671764205052669omplex Xa2))) X) (@ (@ tptp.times_times_complex X) (@ tptp.invers8013647133539491842omplex (@ tptp.ring_17405671764205052669omplex Xa2))))))
% 14.05/14.29 (assume a9058 (= tptp.divide_divide_real (lambda ((X2 tptp.real) (Y3 tptp.real)) (@ (@ tptp.times_times_real X2) (@ tptp.inverse_inverse_real Y3)))))
% 14.05/14.29 (assume a9059 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.archim2898591450579166408c_real X))))
% 14.05/14.29 (assume a9060 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.archim2898591450579166408c_real X)) tptp.one_one_real)))
% 14.05/14.29 (assume a9061 (forall ((X tptp.real)) (= (@ tptp.archim2898591450579166408c_real (@ (@ tptp.plus_plus_real X) tptp.one_one_real)) (@ tptp.archim2898591450579166408c_real X))))
% 14.05/14.29 (assume a9062 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real B) A)))))
% 14.05/14.29 (assume a9063 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real B)) (@ tptp.inverse_inverse_real A))))))
% 14.05/14.29 (assume a9064 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) A)))))
% 14.05/14.29 (assume a9065 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real B)) (@ tptp.inverse_inverse_real A))))))
% 14.05/14.29 (assume a9066 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ (@ tptp.binomial N2) K)))))
% 14.05/14.29 (assume a9067 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real X)) tptp.one_one_real) (or (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 14.05/14.29 (assume a9068 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.inverse_inverse_real X)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real X) tptp.one_one_real)))))
% 14.05/14.29 (assume a9069 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_real A) tptp.one_one_real) (@ (@ tptp.ord_less_real tptp.one_one_real) (@ tptp.inverse_inverse_real A))))))
% 14.05/14.29 (assume a9070 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real A)) (@ (@ tptp.plus_plus_real A) B))) (@ tptp.inverse_inverse_real B)))))))
% 14.05/14.29 (assume a9071 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.invers8013647133539491842omplex A)) (@ tptp.invers8013647133539491842omplex B)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex A)) (@ (@ tptp.plus_plus_complex A) B))) (@ tptp.invers8013647133539491842omplex B)))))))
% 14.05/14.29 (assume a9072 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.plus_plus_real A) B)) (@ tptp.inverse_inverse_real A))) (@ tptp.inverse_inverse_real B)))))))
% 14.05/14.29 (assume a9073 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.invers8013647133539491842omplex A)) (@ tptp.invers8013647133539491842omplex B)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.plus_plus_complex A) B)) (@ tptp.invers8013647133539491842omplex A))) (@ tptp.invers8013647133539491842omplex B)))))))
% 14.05/14.29 (assume a9074 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real A)) A) tptp.one_one_real))))
% 14.05/14.29 (assume a9075 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex A)) A) tptp.one_one_complex))))
% 14.05/14.29 (assume a9076 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real A)) (@ (@ tptp.minus_minus_real B) A))) (@ tptp.inverse_inverse_real B)))))))
% 14.05/14.29 (assume a9077 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.invers8013647133539491842omplex A)) (@ tptp.invers8013647133539491842omplex B)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex A)) (@ (@ tptp.minus_minus_complex B) A))) (@ tptp.invers8013647133539491842omplex B)))))))
% 14.05/14.29 (assume a9078 (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.suc A)) (@ (@ tptp.binomial (@ tptp.suc (@ (@ tptp.plus_plus_nat A) B))) (@ tptp.suc A))) (@ (@ tptp.times_times_nat (@ tptp.suc B)) (@ (@ tptp.binomial (@ tptp.suc (@ (@ tptp.plus_plus_nat A) B))) A)))))
% 14.05/14.29 (assume a9079 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (@ tptp.inverse_inverse_real A) (@ (@ tptp.divide_divide_real tptp.one_one_real) A)))))
% 14.05/14.29 (assume a9080 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (@ tptp.invers8013647133539491842omplex A) (@ (@ tptp.divide1717551699836669952omplex tptp.one_one_complex) A)))))
% 14.05/14.29 (assume a9081 (forall ((N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.binomial (@ tptp.suc N2)) (@ tptp.suc K)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat (@ tptp.suc N2)) (@ (@ tptp.binomial N2) K))) (@ tptp.suc K)))))
% 14.05/14.29 (assume a9082 (forall ((K tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) M) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.times_times_nat (@ (@ tptp.binomial N2) M)) (@ (@ tptp.binomial M) K)) (@ (@ tptp.times_times_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) K)) (@ (@ tptp.minus_minus_nat M) K))))))))
% 14.05/14.29 (assume a9083 (forall ((N2 tptp.nat) (K tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.minus_minus_nat N2) K)) (@ (@ tptp.binomial N2) K)) (@ (@ tptp.times_times_nat N2) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) K)))))
% 14.05/14.29 (assume a9084 (forall ((Y tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ (@ tptp.powr_real (@ tptp.inverse_inverse_real Y)) A) (@ tptp.inverse_inverse_real (@ (@ tptp.powr_real Y) A))))))
% 14.05/14.29 (assume a9085 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.binomial K3) M))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.binomial (@ tptp.suc N2)) (@ tptp.suc M)))))
% 14.05/14.29 (assume a9086 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.ord_less_real B) A)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real A) B))))))
% 14.05/14.29 (assume a9087 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.times_times_real A) B)) (@ (@ tptp.ord_less_eq_real B) A)) (=> (@ (@ tptp.ord_less_eq_real (@ (@ tptp.times_times_real A) B)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real A) B))))))
% 14.05/14.29 (assume a9088 (forall ((A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.inverse_inverse_real A))))))
% 14.05/14.29 (assume a9089 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real X)) tptp.one_one_real) (or (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_real tptp.one_one_real) X)))))
% 14.05/14.29 (assume a9090 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.inverse_inverse_real X)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 14.05/14.29 (assume a9091 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (@ (@ tptp.minus_minus_real (@ tptp.inverse_inverse_real A)) (@ tptp.inverse_inverse_real B)) (@ tptp.uminus_uminus_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real A)) (@ (@ tptp.minus_minus_real A) B))) (@ tptp.inverse_inverse_real B))))))))
% 14.05/14.29 (assume a9092 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (@ (@ tptp.minus_minus_complex (@ tptp.invers8013647133539491842omplex A)) (@ tptp.invers8013647133539491842omplex B)) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex A)) (@ (@ tptp.minus_minus_complex A) B))) (@ tptp.invers8013647133539491842omplex B))))))))
% 14.05/14.29 (assume a9093 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (exists ((N4 tptp.nat)) (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N4)))) X)))))
% 14.05/14.29 (assume a9094 (forall ((K tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ tptp.suc K)) (@ (@ tptp.binomial N2) (@ tptp.suc K))) (@ (@ tptp.times_times_nat N2) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) K)))))
% 14.05/14.29 (assume a9095 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1408675320244567234ct_nat K)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat N2) K)))) (@ (@ tptp.binomial N2) K)) (@ tptp.semiri1408675320244567234ct_nat N2)))))
% 14.05/14.29 (assume a9096 (forall ((P (-> tptp.real Bool)) (E tptp.real)) (=> (forall ((D3 tptp.real) (E2 tptp.real)) (=> (@ (@ tptp.ord_less_real D3) E2) (=> (@ P D3) (@ P E2)))) (=> (forall ((N4 tptp.nat)) (@ P (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N4))))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (@ P E))))))
% 14.05/14.29 (assume a9097 (forall ((P (-> tptp.real Bool)) (E tptp.real)) (=> (forall ((D3 tptp.real) (E2 tptp.real)) (=> (@ (@ tptp.ord_less_real D3) E2) (=> (@ P D3) (@ P E2)))) (=> (forall ((N4 tptp.nat)) (=> (not (= N4 tptp.zero_zero_nat)) (@ P (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real N4))))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (@ P E))))))
% 14.05/14.29 (assume a9098 (forall ((E tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) E) (exists ((N tptp.nat)) (and (not (= N tptp.zero_zero_nat)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real N))) (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real N))) E))))))
% 14.05/14.29 (assume a9099 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.divide_divide_real (@ tptp.sqrt X)) X) (@ tptp.inverse_inverse_real (@ tptp.sqrt X))))))
% 14.05/14.29 (assume a9100 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.ln_ln_real (@ tptp.inverse_inverse_real X)) (@ tptp.uminus_uminus_real (@ tptp.ln_ln_real X))))))
% 14.05/14.29 (assume a9101 (forall ((I2 tptp.nat) (J tptp.nat)) (= (@ (@ tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat I2) (@ (@ tptp.plus_plus_nat I2) J))) (@ (@ tptp.groups1705073143266064639nt_int (lambda ((X2 tptp.int)) X2)) (@ (@ tptp.set_or1266510415728281911st_int (@ tptp.semiri1314217659103216013at_int I2)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat I2) J)))))))
% 14.05/14.29 (assume a9102 (forall ((X tptp.complex)) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.times_times_complex (@ tptp.invers8013647133539491842omplex (@ tptp.semiri5044797733671781792omplex N))) (@ (@ tptp.power_power_complex X) N))))))
% 14.05/14.29 (assume a9103 (forall ((X tptp.real)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X) N))))))
% 14.05/14.29 (assume a9104 (forall ((R tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat R) K3)) K3))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.binomial (@ tptp.suc (@ (@ tptp.plus_plus_nat R) N2))) N2))))
% 14.05/14.29 (assume a9105 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat N2) J3)) N2))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat N2) M)) tptp.one_one_nat)) (@ (@ tptp.plus_plus_nat N2) tptp.one_one_nat)))))
% 14.05/14.29 (assume a9106 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((J3 tptp.nat)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat N2) J3)) N2))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat N2) M)) tptp.one_one_nat)) M))))
% 14.05/14.29 (assume a9107 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real (@ tptp.semiri5074537144036343181t_real N2)) (@ tptp.semiri5074537144036343181t_real K))) K)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) K))))))
% 14.05/14.29 (assume a9108 (forall ((N2 tptp.nat) (K tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.binomial (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) K)) (@ (@ tptp.binomial (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) N2))))
% 14.05/14.29 (assume a9109 (forall ((K tptp.nat) (K6 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) K6) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K6)) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.binomial N2) K6))))))
% 14.05/14.29 (assume a9110 (forall ((K tptp.nat) (K6 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) K6) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) K) (=> (@ (@ tptp.ord_less_eq_nat K6) N2) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.binomial N2) K6)) (@ (@ tptp.binomial N2) K)))))))
% 14.05/14.29 (assume a9111 (forall ((N2 tptp.nat) (K tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.binomial N2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9112 (forall ((N2 tptp.nat) (K tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 14.05/14.29 (assume a9113 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.binomial N2) K) (@ (@ tptp.plus_plus_nat (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat K) tptp.one_one_nat))) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) K)))))))
% 14.05/14.29 (assume a9114 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) K) (= (@ (@ tptp.times_times_nat K) (@ (@ tptp.binomial N2) K)) (@ (@ tptp.times_times_nat N2) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 14.05/14.29 (assume a9115 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (exists ((N4 tptp.nat)) (and (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N4) (@ (@ tptp.ord_less_real (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real N4))) X))))))
% 14.05/14.29 (assume a9116 (forall ((X tptp.real) (M tptp.nat) (N2 tptp.nat)) (=> (not (= X tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.power_power_real X) (@ (@ tptp.minus_minus_nat N2) M)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real (@ tptp.inverse_inverse_real X)) M)))))))
% 14.05/14.29 (assume a9117 (forall ((X tptp.complex) (M tptp.nat) (N2 tptp.nat)) (=> (not (= X tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.power_power_complex X) (@ (@ tptp.minus_minus_nat N2) M)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_complex (@ tptp.invers8013647133539491842omplex X)) M)))))))
% 14.05/14.29 (assume a9118 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.binomial N2) K) (@ (@ tptp.divide_divide_nat (@ tptp.semiri1408675320244567234ct_nat N2)) (@ (@ tptp.times_times_nat (@ tptp.semiri1408675320244567234ct_nat K)) (@ tptp.semiri1408675320244567234ct_nat (@ (@ tptp.minus_minus_nat N2) K))))))))
% 14.05/14.29 (assume a9119 (forall ((X tptp.real)) (= (= (@ tptp.archim2898591450579166408c_real X) X) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real X) tptp.one_one_real)))))
% 14.05/14.29 (assume a9120 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (=> (not (= A tptp.one_one_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.log A) (@ tptp.inverse_inverse_real X)) (@ tptp.uminus_uminus_real (@ (@ tptp.log A) X))))))))
% 14.05/14.29 (assume a9121 (forall ((X tptp.real) (Y tptp.real)) (and (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ tptp.archim2898591450579166408c_real X)) (@ tptp.archim2898591450579166408c_real Y))) tptp.one_one_real) (= (@ tptp.archim2898591450579166408c_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real (@ tptp.archim2898591450579166408c_real X)) (@ tptp.archim2898591450579166408c_real Y)))) (=> (not (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ tptp.archim2898591450579166408c_real X)) (@ tptp.archim2898591450579166408c_real Y))) tptp.one_one_real)) (= (@ tptp.archim2898591450579166408c_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.plus_plus_real (@ tptp.archim2898591450579166408c_real X)) (@ tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))))))
% 14.05/14.29 (assume a9122 (forall ((I6 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ tptp.finite_finite_real I6) (=> (forall ((I4 tptp.real)) (=> (@ (@ tptp.member_real I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (= (@ tptp.ln_ln_real (@ (@ tptp.groups1681761925125756287l_real F) I6)) (@ (@ tptp.groups8097168146408367636l_real (lambda ((X2 tptp.real)) (@ tptp.ln_ln_real (@ F X2)))) I6))))))
% 14.05/14.29 (assume a9123 (forall ((I6 tptp.set_int) (F (-> tptp.int tptp.real))) (=> (@ tptp.finite_finite_int I6) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (= (@ tptp.ln_ln_real (@ (@ tptp.groups2316167850115554303t_real F) I6)) (@ (@ tptp.groups8778361861064173332t_real (lambda ((X2 tptp.int)) (@ tptp.ln_ln_real (@ F X2)))) I6))))))
% 14.05/14.29 (assume a9124 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.real))) (=> (@ tptp.finite6177210948735845034at_nat I6) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (= (@ tptp.ln_ln_real (@ (@ tptp.groups6036352826371341000t_real F) I6)) (@ (@ tptp.groups4567486121110086003t_real (lambda ((X2 tptp.product_prod_nat_nat)) (@ tptp.ln_ln_real (@ F X2)))) I6))))))
% 14.05/14.29 (assume a9125 (forall ((I6 tptp.set_complex) (F (-> tptp.complex tptp.real))) (=> (@ tptp.finite3207457112153483333omplex I6) (=> (forall ((I4 tptp.complex)) (=> (@ (@ tptp.member_complex I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (= (@ tptp.ln_ln_real (@ (@ tptp.groups766887009212190081x_real F) I6)) (@ (@ tptp.groups5808333547571424918x_real (lambda ((X2 tptp.complex)) (@ tptp.ln_ln_real (@ F X2)))) I6))))))
% 14.05/14.29 (assume a9126 (forall ((I6 tptp.set_nat) (F (-> tptp.nat tptp.real))) (=> (@ tptp.finite_finite_nat I6) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I6) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F I4)))) (= (@ tptp.ln_ln_real (@ (@ tptp.groups129246275422532515t_real F) I6)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((X2 tptp.nat)) (@ tptp.ln_ln_real (@ F X2)))) I6))))))
% 14.05/14.29 (assume a9127 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) K3)) (@ (@ tptp.minus_minus_nat M) K3)))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.binomial (@ tptp.suc N2)) M)))))
% 14.05/14.29 (assume a9128 (forall ((M tptp.nat) (N2 tptp.nat) (R tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_nat (@ (@ tptp.binomial M) K3)) (@ (@ tptp.binomial N2) (@ (@ tptp.minus_minus_nat R) K3))))) (@ tptp.set_ord_atMost_nat R)) (@ (@ tptp.binomial (@ (@ tptp.plus_plus_nat M) N2)) R))))
% 14.05/14.29 (assume a9129 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.binomial N2) (@ tptp.suc K))))))
% 14.05/14.29 (assume a9130 (forall ((K tptp.nat) (K6 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K) K6) (=> (@ (@ tptp.ord_less_eq_nat N2) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K)) (=> (@ (@ tptp.ord_less_eq_nat K6) N2) (@ (@ tptp.ord_less_nat (@ (@ tptp.binomial N2) K6)) (@ (@ tptp.binomial N2) K)))))))
% 14.05/14.29 (assume a9131 (forall ((K tptp.nat) (K6 tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K) K6) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K6)) N2) (@ (@ tptp.ord_less_nat (@ (@ tptp.binomial N2) K)) (@ (@ tptp.binomial N2) K6))))))
% 14.05/14.29 (assume a9132 (forall ((N2 tptp.nat)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.binomial N2) (@ tptp.suc (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ (@ tptp.binomial N2) (@ (@ tptp.divide_divide_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9133 (forall ((N2 tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.binomial N2) (@ tptp.suc K)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) (@ tptp.suc K))) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)) K))))))
% 14.05/14.29 (assume a9134 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.times_times_complex (@ tptp.semiri5044797733671781792omplex K)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) K))) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.semiri5044797733671781792omplex N2)) (@ tptp.semiri5044797733671781792omplex (@ (@ tptp.minus_minus_nat N2) K)))))))
% 14.05/14.29 (assume a9135 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ (@ tptp.times_times_real (@ tptp.semiri2265585572941072030t_real K)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) K))) (@ (@ tptp.divide_divide_real (@ tptp.semiri2265585572941072030t_real N2)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) K)))))))
% 14.05/14.29 (assume a9136 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) K)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.semiri5044797733671781792omplex N2)) (@ (@ tptp.times_times_complex (@ tptp.semiri5044797733671781792omplex K)) (@ tptp.semiri5044797733671781792omplex (@ (@ tptp.minus_minus_nat N2) K))))))))
% 14.05/14.29 (assume a9137 (forall ((K tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K) N2) (= (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) K)) (@ (@ tptp.divide_divide_real (@ tptp.semiri2265585572941072030t_real N2)) (@ (@ tptp.times_times_real (@ tptp.semiri2265585572941072030t_real K)) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) K))))))))
% 14.05/14.29 (assume a9138 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_real (@ tptp.exp_real X)) (@ tptp.inverse_inverse_real (@ tptp.exp_real X))))))
% 14.05/14.29 (assume a9139 (forall ((G (-> tptp.nat tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups4077766827762148844at_nat (@ tptp.produc6842872674320459806at_nat G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups708209901874060359at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9140 (forall ((G (-> tptp.nat tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups4075276357253098568at_int (@ tptp.produc6840382203811409530at_int G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups705719431365010083at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9141 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (@ tptp.binomial N2)) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 14.05/14.29 (assume a9142 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat (@ (@ tptp.plus_plus_nat A) B)) N2) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.power_power_nat A) K3))) (@ (@ tptp.power_power_nat B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9143 (forall ((N2 tptp.nat)) (= (@ (@ tptp.binomial N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat (@ (@ tptp.times_times_nat N2) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9144 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_real X) (@ tptp.inverse_inverse_real X))))))
% 14.05/14.29 (assume a9145 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.power_power_int (@ (@ tptp.plus_plus_int A) B)) N2) (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.power_power_int A) K3))) (@ (@ tptp.power_power_int B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9146 (forall ((A tptp.complex) (B tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex A) B)) N2) (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.power_power_complex A) K3))) (@ (@ tptp.power_power_complex B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9147 (forall ((A tptp.code_integer) (B tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.power_8256067586552552935nteger (@ (@ tptp.plus_p5714425477246183910nteger A) B)) N2) (@ (@ tptp.groups7501900531339628137nteger (lambda ((K3 tptp.nat)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.power_8256067586552552935nteger A) K3))) (@ (@ tptp.power_8256067586552552935nteger B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9148 (forall ((A tptp.nat) (B tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.power_power_nat (@ (@ tptp.plus_plus_nat A) B)) N2) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_nat (@ (@ tptp.times_times_nat (@ tptp.semiri1316708129612266289at_nat (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.power_power_nat A) K3))) (@ (@ tptp.power_power_nat B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9149 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real A) B)) N2) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.power_power_real A) K3))) (@ (@ tptp.power_power_real B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9150 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.power_power_real (@ tptp.inverse_inverse_real (@ tptp.sqrt X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.inverse_inverse_real X)))))
% 14.05/14.29 (assume a9151 (forall ((A tptp.int) (B tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.comm_s4660882817536571857er_int (@ (@ tptp.plus_plus_int A) B)) N2) (@ (@ tptp.groups3539618377306564664at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.comm_s4660882817536571857er_int A) K3))) (@ (@ tptp.comm_s4660882817536571857er_int B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9152 (forall ((A tptp.complex) (B tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.comm_s2602460028002588243omplex (@ (@ tptp.plus_plus_complex A) B)) N2) (@ (@ tptp.groups2073611262835488442omplex (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.comm_s2602460028002588243omplex A) K3))) (@ (@ tptp.comm_s2602460028002588243omplex B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9153 (forall ((A tptp.code_integer) (B tptp.code_integer) (N2 tptp.nat)) (= (@ (@ tptp.comm_s8582702949713902594nteger (@ (@ tptp.plus_p5714425477246183910nteger A) B)) N2) (@ (@ tptp.groups7501900531339628137nteger (lambda ((K3 tptp.nat)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.comm_s8582702949713902594nteger A) K3))) (@ (@ tptp.comm_s8582702949713902594nteger B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9154 (forall ((A tptp.real) (B tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.comm_s7457072308508201937r_real (@ (@ tptp.plus_plus_real A) B)) N2) (@ (@ tptp.groups6591440286371151544t_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) K3))) (@ (@ tptp.comm_s7457072308508201937r_real A) K3))) (@ (@ tptp.comm_s7457072308508201937r_real B) (@ (@ tptp.minus_minus_nat N2) K3))))) (@ tptp.set_ord_atMost_nat N2)))))
% 14.05/14.29 (assume a9155 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.power_power_nat (@ (@ tptp.binomial N2) K3)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.binomial (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) N2))))
% 14.05/14.29 (assume a9156 (forall ((G (-> tptp.nat tptp.nat tptp.nat)) (N2 tptp.nat)) (= (@ (@ tptp.groups4077766827762148844at_nat (@ tptp.produc6842872674320459806at_nat G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups708209901874060359at_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.groups708209901874060359at_nat (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a9157 (forall ((G (-> tptp.nat tptp.nat tptp.int)) (N2 tptp.nat)) (= (@ (@ tptp.groups4075276357253098568at_int (@ tptp.produc6840382203811409530at_int G)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I5) J3)) N2))))) (@ (@ tptp.groups705719431365010083at_int (lambda ((K3 tptp.nat)) (@ (@ tptp.groups705719431365010083at_int (lambda ((I5 tptp.nat)) (@ (@ G I5) (@ (@ tptp.minus_minus_nat K3) I5)))) (@ tptp.set_ord_atMost_nat K3)))) (@ tptp.set_ord_lessThan_nat N2)))))
% 14.05/14.29 (assume a9158 (forall ((X tptp.real)) (= (@ tptp.tan_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X)) (@ tptp.inverse_inverse_real (@ tptp.tan_real X)))))
% 14.05/14.29 (assume a9159 (forall ((X tptp.real) (Y tptp.real)) (and (=> (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ tptp.archim2898591450579166408c_real X)) (@ tptp.archim2898591450579166408c_real Y))) tptp.one_one_real) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.archim6058952711729229775r_real Y)))) (=> (not (@ (@ tptp.ord_less_real (@ (@ tptp.plus_plus_real (@ tptp.archim2898591450579166408c_real X)) (@ tptp.archim2898591450579166408c_real Y))) tptp.one_one_real)) (= (@ tptp.archim6058952711729229775r_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_int (@ (@ tptp.plus_plus_int (@ tptp.archim6058952711729229775r_real X)) (@ tptp.archim6058952711729229775r_real Y))) tptp.one_one_int))))))
% 14.05/14.29 (assume a9160 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real X) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.exp_real X)) (@ tptp.inverse_inverse_real (@ tptp.exp_real X)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9161 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) (@ tptp.abs_abs_real (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.exp_real X)) (@ tptp.inverse_inverse_real (@ tptp.exp_real X)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9162 (forall ((X tptp.real)) (=> (not (= (@ tptp.cos_real X) tptp.zero_zero_real)) (= (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real (@ tptp.tan_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.inverse_inverse_real (@ tptp.cos_real X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9163 (forall ((X tptp.complex)) (=> (not (= (@ tptp.cos_complex X) tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ (@ tptp.power_power_complex (@ tptp.tan_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.invers8013647133539491842omplex (@ tptp.cos_complex X))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9164 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.one_one_nat)) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) I5)) (@ tptp.semiri1314217659103216013at_int I5))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_int))))
% 14.05/14.29 (assume a9165 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.one_one_nat)) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) I5)) (@ tptp.semiri8010041392384452111omplex I5))) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex))))
% 14.05/14.29 (assume a9166 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.one_one_nat)) (= (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) I5)) (@ tptp.semiri4939895301339042750nteger I5))) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_z3403309356797280102nteger))))
% 14.05/14.29 (assume a9167 (forall ((N2 tptp.nat)) (=> (not (= N2 tptp.one_one_nat)) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ tptp.semiri5074537144036343181t_real I5))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9168 (forall ((M tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (@ tptp.binomial (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)) tptp.one_one_nat))) (@ tptp.set_ord_atMost_nat M)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M)))))
% 14.05/14.29 (assume a9169 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_nat I5) (@ (@ tptp.binomial N2) I5)))) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.times_times_nat N2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))))))
% 14.05/14.29 (assume a9170 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.groups3539618377306564664at_int (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) I5)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_int))))
% 14.05/14.29 (assume a9171 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) I5)) (@ tptp.semiri8010041392384452111omplex (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_complex))))
% 14.05/14.29 (assume a9172 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.groups7501900531339628137nteger (lambda ((I5 tptp.nat)) (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.power_8256067586552552935nteger (@ tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) I5)) (@ tptp.semiri4939895301339042750nteger (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_z3403309356797280102nteger))))
% 14.05/14.29 (assume a9173 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial N2) I5))))) (@ tptp.set_ord_atMost_nat N2)) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9174 (= tptp.binomial (lambda ((N tptp.nat) (K3 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat N) K3)) tptp.zero_zero_nat) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_less_nat N) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K3))) (@ (@ tptp.binomial N) (@ (@ tptp.minus_minus_nat N) K3))) (@ (@ tptp.divide_divide_nat (@ (@ (@ (@ tptp.set_fo2584398358068434914at_nat tptp.times_times_nat) (@ (@ tptp.plus_plus_nat (@ (@ tptp.minus_minus_nat N) K3)) tptp.one_one_nat)) N) tptp.one_one_nat)) (@ tptp.semiri1408675320244567234ct_nat K3)))))))
% 14.05/14.29 (assume a9175 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real (@ tptp.numeral_numeral_real (@ tptp.bit0 (@ tptp.bit0 tptp.one)))) N2)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.semiri5074537144036343181t_real N2)))) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.binomial (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) N2))))))
% 14.05/14.29 (assume a9176 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.sums_real (lambda ((P4 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) P4) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))) (@ (@ tptp.times_times_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.divide_divide_nat P4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial P4) N))))) (@ tptp.semiri2265585572941072030t_real P4)))) (@ (@ tptp.power_power_real X) N))) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat P4) N)))) tptp.zero_zero_real))) (@ tptp.set_ord_atMost_nat P4)))) (@ (@ tptp.times_times_real (@ tptp.sin_real X)) (@ tptp.sin_real Y)))))
% 14.05/14.29 (assume a9177 (forall ((X tptp.complex) (Y tptp.complex)) (@ (@ tptp.sums_complex (lambda ((P4 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) P4) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))) (@ (@ tptp.times_times_complex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.divide_divide_nat P4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial P4) N))))) (@ tptp.semiri2265585572941072030t_real P4)))) (@ (@ tptp.power_power_complex X) N))) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat P4) N)))) tptp.zero_zero_complex))) (@ tptp.set_ord_atMost_nat P4)))) (@ (@ tptp.times_times_complex (@ tptp.sin_complex X)) (@ tptp.sin_complex Y)))))
% 14.05/14.29 (assume a9178 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.sums_real (lambda ((P4 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) P4)) (@ (@ tptp.times_times_real (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.divide_divide_nat P4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial P4) N))))) (@ tptp.semiri2265585572941072030t_real P4))) (@ (@ tptp.power_power_real X) N))) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat P4) N)))) tptp.zero_zero_real))) (@ tptp.set_ord_atMost_nat P4)))) (@ tptp.cos_real (@ (@ tptp.plus_plus_real X) Y)))))
% 14.05/14.29 (assume a9179 (forall ((X tptp.complex) (Y tptp.complex)) (@ (@ tptp.sums_complex (lambda ((P4 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) P4)) (@ (@ tptp.times_times_complex (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.divide_divide_nat P4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial P4) N))))) (@ tptp.semiri2265585572941072030t_real P4))) (@ (@ tptp.power_power_complex X) N))) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat P4) N)))) tptp.zero_zero_complex))) (@ tptp.set_ord_atMost_nat P4)))) (@ tptp.cos_complex (@ (@ tptp.plus_plus_complex X) Y)))))
% 14.05/14.29 (assume a9180 (forall ((X tptp.real) (Y tptp.real)) (@ (@ tptp.sums_real (lambda ((P4 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) P4) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))) (@ (@ tptp.times_times_real (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.divide_divide_nat P4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial P4) N))))) (@ tptp.semiri2265585572941072030t_real P4))) (@ (@ tptp.power_power_real X) N))) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat P4) N)))) tptp.zero_zero_real))) (@ tptp.set_ord_atMost_nat P4)))) (@ (@ tptp.times_times_real (@ tptp.cos_real X)) (@ tptp.cos_real Y)))))
% 14.05/14.29 (assume a9181 (forall ((X tptp.complex) (Y tptp.complex)) (@ (@ tptp.sums_complex (lambda ((P4 tptp.nat)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (and (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) P4) (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))) (@ (@ tptp.times_times_complex (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real (@ (@ tptp.times_times_int (@ (@ tptp.power_power_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ (@ tptp.divide_divide_nat P4) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.binomial P4) N))))) (@ tptp.semiri2265585572941072030t_real P4))) (@ (@ tptp.power_power_complex X) N))) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat P4) N)))) tptp.zero_zero_complex))) (@ tptp.set_ord_atMost_nat P4)))) (@ (@ tptp.times_times_complex (@ tptp.cos_complex X)) (@ tptp.cos_complex Y)))))
% 14.05/14.29 (assume a9182 (= tptp.exp_real (lambda ((X2 tptp.real)) (@ (@ tptp.plus_plus_real (@ (@ tptp.plus_plus_real tptp.one_one_real) X2)) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.plus_plus_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.power_power_real X2) (@ (@ tptp.plus_plus_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))
% 14.05/14.29 (assume a9183 (= tptp.exp_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.plus_plus_complex tptp.one_one_complex) X2)) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.plus_plus_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.power_power_complex X2) (@ (@ tptp.plus_plus_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))
% 14.05/14.29 (assume a9184 (= tptp.semiri1316708129612266289at_nat (lambda ((N tptp.nat)) N)))
% 14.05/14.29 (assume a9185 (forall ((X tptp.real) (A tptp.real) (Y tptp.real)) (= (@ (@ tptp.times_times_real X) (@ (@ tptp.real_V1485227260804924795R_real A) Y)) (@ (@ tptp.real_V1485227260804924795R_real A) (@ (@ tptp.times_times_real X) Y)))))
% 14.05/14.29 (assume a9186 (forall ((X tptp.complex) (A tptp.real) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex X) (@ (@ tptp.real_V2046097035970521341omplex A) Y)) (@ (@ tptp.real_V2046097035970521341omplex A) (@ (@ tptp.times_times_complex X) Y)))))
% 14.05/14.29 (assume a9187 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.times_times_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) Y) (@ (@ tptp.real_V1485227260804924795R_real A) (@ (@ tptp.times_times_real X) Y)))))
% 14.05/14.29 (assume a9188 (forall ((A tptp.real) (X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.times_times_complex (@ (@ tptp.real_V2046097035970521341omplex A) X)) Y) (@ (@ tptp.real_V2046097035970521341omplex A) (@ (@ tptp.times_times_complex X) Y)))))
% 14.05/14.29 (assume a9189 (forall ((X tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real tptp.one_one_real) X) X)))
% 14.05/14.29 (assume a9190 (forall ((X tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex tptp.one_one_real) X) X)))
% 14.05/14.29 (assume a9191 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real A) (@ (@ tptp.real_V1485227260804924795R_real B) X)) (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.times_times_real A) B)) X))))
% 14.05/14.29 (assume a9192 (forall ((A tptp.real) (B tptp.real) (X tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex A) (@ (@ tptp.real_V2046097035970521341omplex B) X)) (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.times_times_real A) B)) X))))
% 14.05/14.29 (assume a9193 (forall ((B tptp.real) (U tptp.real) (A tptp.real)) (= (= (@ (@ tptp.plus_plus_real B) (@ (@ tptp.real_V1485227260804924795R_real U) A)) (@ (@ tptp.plus_plus_real A) (@ (@ tptp.real_V1485227260804924795R_real U) B))) (or (= A B) (= U tptp.one_one_real)))))
% 14.05/14.29 (assume a9194 (forall ((B tptp.complex) (U tptp.real) (A tptp.complex)) (= (= (@ (@ tptp.plus_plus_complex B) (@ (@ tptp.real_V2046097035970521341omplex U) A)) (@ (@ tptp.plus_plus_complex A) (@ (@ tptp.real_V2046097035970521341omplex U) B))) (or (= A B) (= U tptp.one_one_real)))))
% 14.05/14.29 (assume a9195 (forall ((X tptp.real) (Y tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_real (@ (@ tptp.real_V1485227260804924795R_real X) Y)) N2) (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_real Y) N2)))))
% 14.05/14.29 (assume a9196 (forall ((X tptp.real) (Y tptp.complex) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ (@ tptp.real_V2046097035970521341omplex X) Y)) N2) (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.power_power_real X) N2)) (@ (@ tptp.power_power_complex Y) N2)))))
% 14.05/14.29 (assume a9197 (forall ((X tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (@ tptp.uminus_uminus_real X))))
% 14.05/14.29 (assume a9198 (forall ((X tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (@ tptp.uminus1482373934393186551omplex X))))
% 14.05/14.29 (assume a9199 (forall ((U tptp.real) (A tptp.real)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.minus_minus_real tptp.one_one_real) U)) A)) (@ (@ tptp.real_V1485227260804924795R_real U) A)) A)))
% 14.05/14.29 (assume a9200 (forall ((U tptp.real) (A tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.minus_minus_real tptp.one_one_real) U)) A)) (@ (@ tptp.real_V2046097035970521341omplex U) A)) A)))
% 14.05/14.29 (assume a9201 (forall ((A tptp.real) (X tptp.real)) (= (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) (@ (@ tptp.times_times_real (@ tptp.abs_abs_real A)) (@ tptp.real_V7735802525324610683m_real X)))))
% 14.05/14.29 (assume a9202 (forall ((A tptp.real) (X tptp.complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.real_V2046097035970521341omplex A) X)) (@ (@ tptp.times_times_real (@ tptp.abs_abs_real A)) (@ tptp.real_V1022390504157884413omplex X)))))
% 14.05/14.29 (assume a9203 (forall ((U tptp.num) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.numeral_numeral_real U)) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) A)) (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real W))) A))))
% 14.05/14.29 (assume a9204 (forall ((U tptp.num) (W tptp.num) (A tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.numeral_numeral_real U)) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) A)) (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real W))) A))))
% 14.05/14.29 (assume a9205 (forall ((V tptp.num) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) A)) (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real W)) (@ tptp.numeral_numeral_real V))) A))))
% 14.05/14.29 (assume a9206 (forall ((V tptp.num) (W tptp.num) (A tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) A)) (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real W)) (@ tptp.numeral_numeral_real V))) A))))
% 14.05/14.29 (assume a9207 (forall ((U tptp.num) (V tptp.num) (W tptp.num) (A tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real W)) A)) (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real W))) (@ tptp.numeral_numeral_real V))) A))))
% 14.05/14.29 (assume a9208 (forall ((U tptp.num) (V tptp.num) (W tptp.num) (A tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real V))) (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex W)) A)) (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real U)) (@ tptp.numeral_numeral_real W))) (@ tptp.numeral_numeral_real V))) A))))
% 14.05/14.29 (assume a9209 (forall ((A tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.plus_plus_real A) A)) A)))
% 14.05/14.29 (assume a9210 (forall ((A tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.plus_plus_complex A) A)) A)))
% 14.05/14.29 (assume a9211 (= tptp.real_V1485227260804924795R_real tptp.times_times_real))
% 14.05/14.29 (assume a9212 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real A) (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) (@ (@ tptp.real_V1485227260804924795R_real A) Y)))))
% 14.05/14.29 (assume a9213 (forall ((A tptp.real) (X tptp.complex) (Y tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex A) (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.real_V2046097035970521341omplex A) X)) (@ (@ tptp.real_V2046097035970521341omplex A) Y)))))
% 14.05/14.29 (assume a9214 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.plus_plus_real X) Y)) Xa2) (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real X) Xa2)) (@ (@ tptp.real_V1485227260804924795R_real Y) Xa2)))))
% 14.05/14.29 (assume a9215 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.plus_plus_real X) Y)) Xa2) (@ (@ tptp.plus_plus_complex (@ (@ tptp.real_V2046097035970521341omplex X) Xa2)) (@ (@ tptp.real_V2046097035970521341omplex Y) Xa2)))))
% 14.05/14.29 (assume a9216 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.plus_plus_real A) B)) X) (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) (@ (@ tptp.real_V1485227260804924795R_real B) X)))))
% 14.05/14.29 (assume a9217 (forall ((A tptp.real) (B tptp.real) (X tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ (@ tptp.plus_plus_real A) B)) X) (@ (@ tptp.plus_plus_complex (@ (@ tptp.real_V2046097035970521341omplex A) X)) (@ (@ tptp.real_V2046097035970521341omplex B) X)))))
% 14.05/14.29 (assume a9218 (= tptp.real_V1485227260804924795R_real (lambda ((R4 tptp.real) (__flatten_var_0 tptp.real)) (@ (@ tptp.times_times_real (@ tptp.real_V1803761363581548252l_real R4)) __flatten_var_0))))
% 14.05/14.29 (assume a9219 (= tptp.real_V2046097035970521341omplex (lambda ((R4 tptp.real) (__flatten_var_0 tptp.complex)) (@ (@ tptp.times_times_complex (@ tptp.real_V4546457046886955230omplex R4)) __flatten_var_0))))
% 14.05/14.29 (assume a9220 (= tptp.real_V1803761363581548252l_real (lambda ((R4 tptp.real)) (@ (@ tptp.real_V1485227260804924795R_real R4) tptp.one_one_real))))
% 14.05/14.29 (assume a9221 (= tptp.real_V4546457046886955230omplex (lambda ((R4 tptp.real)) (@ (@ tptp.real_V2046097035970521341omplex R4) tptp.one_one_complex))))
% 14.05/14.29 (assume a9222 (forall ((R tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.real_V2046097035970521341omplex R) (@ (@ tptp.complex2 A) B)) (@ (@ tptp.complex2 (@ (@ tptp.times_times_real R) A)) (@ (@ tptp.times_times_real R) B)))))
% 14.05/14.29 (assume a9223 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) C)) (@ (@ tptp.real_V1485227260804924795R_real B) C))))))
% 14.05/14.29 (assume a9224 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) (@ (@ tptp.real_V1485227260804924795R_real B) X))))))
% 14.05/14.29 (assume a9225 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ (@ tptp.real_V1485227260804924795R_real C) B)) (and (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real A) B)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) A))))))
% 14.05/14.29 (assume a9226 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ (@ tptp.real_V1485227260804924795R_real C) B)) (@ (@ tptp.ord_less_eq_real B) A)))))
% 14.05/14.29 (assume a9227 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ (@ tptp.real_V1485227260804924795R_real C) B)) (@ (@ tptp.ord_less_eq_real A) B)))))
% 14.05/14.29 (assume a9228 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) A) (=> (@ (@ tptp.ord_less_eq_real C) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ (@ tptp.real_V1485227260804924795R_real C) B))))))
% 14.05/14.29 (assume a9229 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) (@ (@ tptp.real_V1485227260804924795R_real A) Y))))))
% 14.05/14.29 (assume a9230 (forall ((U tptp.real) (V tptp.real) (A tptp.real) (X tptp.real)) (= (= (@ (@ tptp.real_V1485227260804924795R_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.real_V1485227260804924795R_real U) A) (@ (@ tptp.real_V1485227260804924795R_real V) X)))))))
% 14.05/14.29 (assume a9231 (forall ((U tptp.real) (V tptp.real) (A tptp.complex) (X tptp.complex)) (= (= (@ (@ tptp.real_V2046097035970521341omplex (@ (@ 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.real_V2046097035970521341omplex U) A) (@ (@ tptp.real_V2046097035970521341omplex V) X)))))))
% 14.05/14.29 (assume a9232 (forall ((X tptp.real) (U tptp.real) (V tptp.real) (A tptp.real)) (= (= X (@ (@ tptp.real_V1485227260804924795R_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.real_V1485227260804924795R_real V) X) (@ (@ tptp.real_V1485227260804924795R_real U) A)))))))
% 14.05/14.29 (assume a9233 (forall ((X tptp.complex) (U tptp.real) (V tptp.real) (A tptp.complex)) (= (= X (@ (@ tptp.real_V2046097035970521341omplex (@ (@ 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.real_V2046097035970521341omplex V) X) (@ (@ tptp.real_V2046097035970521341omplex U) A)))))))
% 14.05/14.29 (assume a9234 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real A) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real B) E)) D)) (@ (@ tptp.ord_less_eq_real C) (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.minus_minus_real B) A)) E)) D)))))
% 14.05/14.29 (assume a9235 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real A) E)) C)) (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real B) E)) D)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real (@ (@ tptp.minus_minus_real A) B)) E)) C)) D))))
% 14.05/14.29 (assume a9236 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.real_V1485227260804924795R_real A) B)) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real)) (= A tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9237 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) B)) tptp.zero_zero_real) (or (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B)) (= A tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9238 (forall ((A tptp.real) (B tptp.real) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real X) Y) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) (@ (@ tptp.real_V1485227260804924795R_real B) Y))))))))
% 14.05/14.29 (assume a9239 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.ord_less_eq_real C) D) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) C) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) C)) (@ (@ tptp.real_V1485227260804924795R_real B) D))))))))
% 14.05/14.29 (assume a9240 (forall ((A tptp.real) (X tptp.real)) (=> (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9241 (forall ((A tptp.real) (B tptp.real)) (=> (or (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) B)) (and (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.real_V1485227260804924795R_real A) B)))))
% 14.05/14.29 (assume a9242 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.real_V1485227260804924795R_real A) X))))))
% 14.05/14.29 (assume a9243 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) A) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9244 (forall ((A tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9245 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.real_V1485227260804924795R_real A) B))))))
% 14.05/14.29 (assume a9246 (forall ((X tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real A) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real A) X)) X)))))
% 14.05/14.29 (assume a9247 (forall ((X tptp.real)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X) (@ (@ tptp.plus_plus_real X) X))))
% 14.05/14.29 (assume a9248 (forall ((X tptp.complex)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X) (@ (@ tptp.plus_plus_complex X) X))))
% 14.05/14.29 (assume a9249 (forall ((M tptp.real) (X tptp.real) (C tptp.real) (Y tptp.real)) (=> (not (= M tptp.zero_zero_real)) (= (= (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real M) X)) C) Y) (= X (@ (@ tptp.minus_minus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real M)) Y)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real M)) C)))))))
% 14.05/14.29 (assume a9250 (forall ((M tptp.real) (X tptp.complex) (C tptp.complex) (Y tptp.complex)) (=> (not (= M tptp.zero_zero_real)) (= (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.real_V2046097035970521341omplex M) X)) C) Y) (= X (@ (@ tptp.minus_minus_complex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real M)) Y)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real M)) C)))))))
% 14.05/14.29 (assume a9251 (forall ((M tptp.real) (Y tptp.real) (X tptp.real) (C tptp.real)) (=> (not (= M tptp.zero_zero_real)) (= (= Y (@ (@ tptp.plus_plus_real (@ (@ tptp.real_V1485227260804924795R_real M) X)) C)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real M)) Y)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real M)) C)) X)))))
% 14.05/14.29 (assume a9252 (forall ((M tptp.real) (Y tptp.complex) (X tptp.complex) (C tptp.complex)) (=> (not (= M tptp.zero_zero_real)) (= (= Y (@ (@ tptp.plus_plus_complex (@ (@ tptp.real_V2046097035970521341omplex M) X)) C)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real M)) Y)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real M)) C)) X)))))
% 14.05/14.29 (assume a9253 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9254 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) B)))))
% 14.05/14.29 (assume a9255 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real A) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) B)))))
% 14.05/14.29 (assume a9256 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) A) (@ (@ tptp.ord_less_eq_real B) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9257 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) A) (@ (@ tptp.ord_less_real B) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9258 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) (@ (@ tptp.ord_less_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) B)))))
% 14.05/14.29 (assume a9259 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) A) (@ (@ tptp.ord_less_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) B)))))
% 14.05/14.29 (assume a9260 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real A) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B)) (@ (@ tptp.ord_less_real B) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9261 (forall ((X tptp.real)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X) N))))))
% 14.05/14.29 (assume a9262 (forall ((X tptp.complex)) (@ tptp.summable_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X) N))))))
% 14.05/14.29 (assume a9263 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_real X) N)))) (@ tptp.sin_real X))))
% 14.05/14.29 (assume a9264 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_complex X) N)))) (@ tptp.sin_complex X))))
% 14.05/14.29 (assume a9265 (= tptp.sin_real (lambda ((X2 tptp.real)) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_real X2) N)))))))
% 14.05/14.29 (assume a9266 (= tptp.sin_complex (lambda ((X2 tptp.complex)) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_complex X2) N)))))))
% 14.05/14.29 (assume a9267 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_real X) N)))) (@ tptp.cos_real X))))
% 14.05/14.29 (assume a9268 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_complex X) N)))) (@ tptp.cos_complex X))))
% 14.05/14.29 (assume a9269 (= tptp.cos_real (lambda ((X2 tptp.real)) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_real X2) N)))))))
% 14.05/14.29 (assume a9270 (= tptp.cos_complex (lambda ((X2 tptp.complex)) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_complex X2) N)))))))
% 14.05/14.29 (assume a9271 (forall ((X tptp.real)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_real X) N)))))))
% 14.05/14.29 (assume a9272 (forall ((X tptp.complex)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_complex X) N)))))))
% 14.05/14.29 (assume a9273 (forall ((X tptp.real)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_real X) N)))))))
% 14.05/14.29 (assume a9274 (forall ((X tptp.complex)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_complex X) N)))))))
% 14.05/14.29 (assume a9275 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ tptp.uminus_uminus_real B))))))
% 14.05/14.29 (assume a9276 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) A) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9277 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9278 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) A) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ tptp.uminus_uminus_real B))))))
% 14.05/14.29 (assume a9279 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) A) (@ (@ tptp.ord_less_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ tptp.uminus_uminus_real B))))))
% 14.05/14.29 (assume a9280 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real C) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9281 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) A) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.real_V1485227260804924795R_real C) A))))))
% 14.05/14.29 (assume a9282 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (= (@ (@ tptp.ord_less_real A) (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real C)) B))) (@ (@ tptp.ord_less_real (@ (@ tptp.real_V1485227260804924795R_real C) A)) (@ tptp.uminus_uminus_real B))))))
% 14.05/14.29 (assume a9283 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X) N)))) (@ tptp.exp_real X))))
% 14.05/14.29 (assume a9284 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X) N)))) (@ tptp.exp_complex X))))
% 14.05/14.29 (assume a9285 (= tptp.exp_real (lambda ((X2 tptp.real)) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X2) N)))))))
% 14.05/14.29 (assume a9286 (= tptp.exp_complex (lambda ((X2 tptp.complex)) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X2) N)))))))
% 14.05/14.29 (assume a9287 (forall ((X tptp.real)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V7735802525324610683m_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X) N)))))))
% 14.05/14.29 (assume a9288 (forall ((X tptp.complex)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X) N)))))))
% 14.05/14.29 (assume a9289 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ tptp.uminus_uminus_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real X)) N))))) (@ tptp.sin_real X))))
% 14.05/14.29 (assume a9290 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ tptp.uminus1482373934393186551omplex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.sin_coeff N)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex X)) N))))) (@ tptp.sin_complex X))))
% 14.05/14.29 (assume a9291 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real X)) N)))) (@ tptp.cos_real X))))
% 14.05/14.29 (assume a9292 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.cos_coeff N)) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex X)) N)))) (@ tptp.cos_complex X))))
% 14.05/14.29 (assume a9293 (forall ((A tptp.real) (B tptp.real)) (= (@ tptp.invers8013647133539491842omplex (@ (@ tptp.complex2 A) B)) (@ (@ tptp.complex2 (@ (@ tptp.divide_divide_real A) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real B) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real B)) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real A) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real B) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9294 (forall ((X tptp.real) (Y tptp.real) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_real X) Y) (@ (@ tptp.times_times_real Y) X)) (= (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real X) Y)) N2)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real I5))) (@ (@ tptp.power_power_real X) I5))) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) I5)))) (@ (@ tptp.power_power_real Y) (@ (@ tptp.minus_minus_nat N2) I5)))))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a9295 (forall ((X tptp.complex) (Y tptp.complex) (N2 tptp.nat)) (=> (= (@ (@ tptp.times_times_complex X) Y) (@ (@ tptp.times_times_complex Y) X)) (= (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_complex (@ (@ tptp.plus_plus_complex X) Y)) N2)) (@ (@ tptp.groups2073611262835488442omplex (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_complex (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real I5))) (@ (@ tptp.power_power_complex X) I5))) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) I5)))) (@ (@ tptp.power_power_complex Y) (@ (@ tptp.minus_minus_nat N2) I5)))))) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.29 (assume a9296 (= tptp.exp_real (lambda ((X2 tptp.real)) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ tptp.suc N)))) (@ (@ tptp.power_power_real X2) (@ tptp.suc N)))))))))
% 14.05/14.29 (assume a9297 (= tptp.exp_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ tptp.suc N)))) (@ (@ tptp.power_power_complex X2) (@ tptp.suc N)))))))))
% 14.05/14.29 (assume a9298 (forall ((K tptp.nat)) (= tptp.exp_real (lambda ((X2 tptp.real)) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X2) N)))) (@ tptp.set_ord_lessThan_nat K))) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.plus_plus_nat N) K)))) (@ (@ tptp.power_power_real X2) (@ (@ tptp.plus_plus_nat N) K))))))))))
% 14.05/14.29 (assume a9299 (forall ((K tptp.nat)) (= tptp.exp_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.groups2073611262835488442omplex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X2) N)))) (@ tptp.set_ord_lessThan_nat K))) (@ tptp.suminf_complex (lambda ((N tptp.nat)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.plus_plus_nat N) K)))) (@ (@ tptp.power_power_complex X2) (@ (@ tptp.plus_plus_nat N) K))))))))))
% 14.05/14.29 (assume a9300 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.zero_zero_real) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X) N))))) (@ tptp.sinh_real X))))
% 14.05/14.29 (assume a9301 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.zero_zero_complex) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X) N))))) (@ tptp.sinh_complex X))))
% 14.05/14.29 (assume a9302 (forall ((X tptp.real)) (@ (@ tptp.sums_real (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_real (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_real X) N))) tptp.zero_zero_real))) (@ tptp.cosh_real X))))
% 14.05/14.29 (assume a9303 (forall ((X tptp.complex)) (@ (@ tptp.sums_complex (lambda ((N tptp.nat)) (@ (@ (@ tptp.if_complex (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.semiri2265585572941072030t_real N))) (@ (@ tptp.power_power_complex X) N))) tptp.zero_zero_complex))) (@ tptp.cosh_complex X))))
% 14.05/14.29 (assume a9304 (= (@ tptp.exp_complex (@ (@ tptp.times_times_complex tptp.imaginary_unit) (@ (@ tptp.times_times_complex (@ tptp.real_V4546457046886955230omplex tptp.pi)) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))) tptp.one_one_complex))
% 14.05/14.29 (assume a9305 (= (@ tptp.exp_complex (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.real_V4546457046886955230omplex tptp.pi))) tptp.imaginary_unit)) tptp.one_one_complex))
% 14.05/14.29 (assume a9306 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.sinh_real X)) (@ tptp.sinh_real Y)) (@ (@ tptp.ord_less_real X) Y))))
% 14.05/14.29 (assume a9307 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sinh_real X)) (@ tptp.sinh_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))
% 14.05/14.29 (assume a9308 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real (@ tptp.sinh_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9309 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.sinh_real X)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) X))))
% 14.05/14.29 (assume a9310 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sinh_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9311 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sinh_real X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 14.05/14.29 (assume a9312 (= (@ tptp.cosh_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 14.05/14.29 (assume a9313 (= (@ tptp.cosh_real tptp.zero_zero_real) tptp.one_one_real))
% 14.05/14.29 (assume a9314 (= (@ tptp.real_V1022390504157884413omplex tptp.imaginary_unit) tptp.one_one_real))
% 14.05/14.29 (assume a9315 (= (@ (@ tptp.power_power_complex tptp.imaginary_unit) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 14.05/14.29 (assume a9316 (forall ((N2 tptp.nat)) (= (@ (@ tptp.power_power_complex tptp.imaginary_unit) (@ (@ tptp.times_times_nat N2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N2))))
% 14.05/14.29 (assume a9317 (= tptp.tanh_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.sinh_real X2)) (@ tptp.cosh_real X2)))))
% 14.05/14.29 (assume a9318 (= tptp.tanh_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.sinh_complex X2)) (@ tptp.cosh_complex X2)))))
% 14.05/14.29 (assume a9319 (forall ((X tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.cosh_complex X)) (@ tptp.sinh_complex X)) (@ tptp.exp_complex X))))
% 14.05/14.29 (assume a9320 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.cosh_real X)) (@ tptp.sinh_real X)) (@ tptp.exp_real X))))
% 14.05/14.29 (assume a9321 (forall ((X tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ tptp.sinh_complex X)) (@ tptp.cosh_complex X)) (@ tptp.exp_complex X))))
% 14.05/14.29 (assume a9322 (forall ((X tptp.real)) (= (@ (@ tptp.plus_plus_real (@ tptp.sinh_real X)) (@ tptp.cosh_real X)) (@ tptp.exp_real X))))
% 14.05/14.29 (assume a9323 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real (@ tptp.sinh_real X)) (@ tptp.cosh_real X))))
% 14.05/14.29 (assume a9324 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real (@ tptp.sinh_real X)) (@ tptp.cosh_real X))))
% 14.05/14.29 (assume a9325 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.cosh_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.cosh_complex X)) (@ tptp.cosh_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.sinh_complex X)) (@ tptp.sinh_complex Y))))))
% 14.05/14.29 (assume a9326 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.cosh_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y))) (@ (@ tptp.times_times_real (@ tptp.sinh_real X)) (@ tptp.sinh_real Y))))))
% 14.05/14.29 (assume a9327 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.sinh_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex (@ tptp.sinh_complex X)) (@ tptp.cosh_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.cosh_complex X)) (@ tptp.sinh_complex Y))))))
% 14.05/14.29 (assume a9328 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.sinh_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.sinh_real X)) (@ tptp.cosh_real Y))) (@ (@ tptp.times_times_real (@ tptp.cosh_real X)) (@ tptp.sinh_real Y))))))
% 14.05/14.29 (assume a9329 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.cosh_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.cosh_complex X)) (@ tptp.cosh_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.sinh_complex X)) (@ tptp.sinh_complex Y))))))
% 14.05/14.29 (assume a9330 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.cosh_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y))) (@ (@ tptp.times_times_real (@ tptp.sinh_real X)) (@ tptp.sinh_real Y))))))
% 14.05/14.29 (assume a9331 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.sinh_complex (@ (@ tptp.minus_minus_complex X) Y)) (@ (@ tptp.minus_minus_complex (@ (@ tptp.times_times_complex (@ tptp.sinh_complex X)) (@ tptp.cosh_complex Y))) (@ (@ tptp.times_times_complex (@ tptp.cosh_complex X)) (@ tptp.sinh_complex Y))))))
% 14.05/14.29 (assume a9332 (forall ((X tptp.real) (Y tptp.real)) (= (@ tptp.sinh_real (@ (@ tptp.minus_minus_real X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.sinh_real X)) (@ tptp.cosh_real Y))) (@ (@ tptp.times_times_real (@ tptp.cosh_real X)) (@ tptp.sinh_real Y))))))
% 14.05/14.29 (assume a9333 (forall ((X tptp.real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.cosh_real X))))
% 14.05/14.29 (assume a9334 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.cosh_real X))))
% 14.05/14.29 (assume a9335 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_eq_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y)) (@ (@ tptp.ord_less_eq_real X) Y))))))
% 14.05/14.29 (assume a9336 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_eq_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y)) (@ (@ tptp.ord_less_eq_real Y) X))))))
% 14.05/14.29 (assume a9337 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ tptp.cosh_real X))))
% 14.05/14.29 (assume a9338 (forall ((X tptp.complex)) (= (@ tptp.sinh_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) (@ tptp.sinh_complex X))) (@ tptp.cosh_complex X)))))
% 14.05/14.29 (assume a9339 (forall ((X tptp.real)) (= (@ tptp.sinh_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.sinh_real X))) (@ tptp.cosh_real X)))))
% 14.05/14.29 (assume a9340 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real Y) tptp.zero_zero_real) (= (@ (@ tptp.ord_less_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y)) (@ (@ tptp.ord_less_real Y) X))))))
% 14.05/14.29 (assume a9341 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (= (@ (@ tptp.ord_less_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y)) (@ (@ tptp.ord_less_real X) Y))))))
% 14.05/14.29 (assume a9342 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ tptp.cosh_real X)) (@ tptp.cosh_real Y))))))
% 14.05/14.29 (assume a9343 (forall ((X tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.cosh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.sinh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 14.05/14.29 (assume a9344 (forall ((X tptp.complex)) (= (@ (@ tptp.power_power_complex (@ tptp.cosh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_complex (@ (@ tptp.power_power_complex (@ tptp.sinh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_complex))))
% 14.05/14.29 (assume a9345 (forall ((X tptp.complex)) (= (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex (@ tptp.cosh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.sinh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 14.05/14.29 (assume a9346 (forall ((X tptp.real)) (= (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ tptp.cosh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.sinh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 14.05/14.29 (assume a9347 (forall ((X tptp.complex)) (= (@ (@ tptp.power_power_complex (@ tptp.sinh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_complex (@ (@ tptp.power_power_complex (@ tptp.cosh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_complex))))
% 14.05/14.29 (assume a9348 (forall ((X tptp.real)) (= (@ (@ tptp.power_power_real (@ tptp.sinh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ tptp.cosh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 14.05/14.29 (assume a9349 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ tptp.arcosh_real (@ tptp.cosh_real X)) X))))
% 14.05/14.29 (assume a9350 (forall ((X tptp.real) (Y tptp.real)) (= (= (@ (@ tptp.complex2 X) Y) tptp.imaginary_unit) (and (= X tptp.zero_zero_real) (= Y tptp.one_one_real)))))
% 14.05/14.29 (assume a9351 (= tptp.imaginary_unit (@ (@ tptp.complex2 tptp.zero_zero_real) tptp.one_one_real)))
% 14.05/14.29 (assume a9352 (forall ((X tptp.complex)) (= (@ tptp.cosh_complex (@ (@ tptp.times_times_complex (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.plus_plus_complex (@ (@ tptp.power_power_complex (@ tptp.cosh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_complex (@ tptp.sinh_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9353 (forall ((X tptp.real)) (= (@ tptp.cosh_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) X)) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.cosh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.sinh_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9354 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (@ tptp.cosh_real X) tptp.zero_zero_real)) (=> (not (= (@ tptp.cosh_real Y) tptp.zero_zero_real)) (= (@ tptp.tanh_real (@ (@ tptp.plus_plus_real X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.tanh_real X)) (@ tptp.tanh_real Y))) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.tanh_real X)) (@ tptp.tanh_real Y)))))))))
% 14.05/14.29 (assume a9355 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (@ tptp.cosh_complex X) tptp.zero_zero_complex)) (=> (not (= (@ tptp.cosh_complex Y) tptp.zero_zero_complex)) (= (@ tptp.tanh_complex (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.tanh_complex X)) (@ tptp.tanh_complex Y))) (@ (@ tptp.plus_plus_complex tptp.one_one_complex) (@ (@ tptp.times_times_complex (@ tptp.tanh_complex X)) (@ tptp.tanh_complex Y)))))))))
% 14.05/14.29 (assume a9356 (forall ((X tptp.real)) (= (= (@ tptp.sinh_real X) tptp.zero_zero_real) (@ (@ tptp.member_real (@ tptp.exp_real X)) (@ (@ tptp.insert_real tptp.one_one_real) (@ (@ tptp.insert_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.bot_bot_set_real))))))
% 14.05/14.29 (assume a9357 (forall ((X tptp.complex)) (= (= (@ tptp.sinh_complex X) tptp.zero_zero_complex) (@ (@ tptp.member_complex (@ tptp.exp_complex X)) (@ (@ tptp.insert_complex tptp.one_one_complex) (@ (@ tptp.insert_complex (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.bot_bot_set_complex))))))
% 14.05/14.29 (assume a9358 (= tptp.cosh_real (lambda ((Z5 tptp.real)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.exp_real Z5)) (@ tptp.exp_real (@ tptp.uminus_uminus_real Z5)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9359 (= tptp.cosh_complex (lambda ((Z5 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex (@ tptp.exp_complex Z5)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex Z5)))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9360 (= tptp.sinh_real (lambda ((Z5 tptp.real)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.exp_real Z5)) (@ tptp.exp_real (@ tptp.uminus_uminus_real Z5)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9361 (= tptp.sinh_complex (lambda ((Z5 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.minus_minus_complex (@ tptp.exp_complex Z5)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex Z5)))) (@ tptp.numera6690914467698888265omplex (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9362 (forall ((X tptp.real)) (= (= (@ tptp.cosh_real X) tptp.zero_zero_real) (= (@ (@ tptp.power_power_real (@ tptp.exp_real X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 14.05/14.29 (assume a9363 (forall ((X tptp.complex)) (= (= (@ tptp.cosh_complex X) tptp.zero_zero_complex) (= (@ (@ tptp.power_power_complex (@ tptp.exp_complex X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 14.05/14.29 (assume a9364 (forall ((A tptp.real)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.plus_plus_complex (@ tptp.real_V4546457046886955230omplex (@ tptp.cos_real A))) (@ (@ tptp.times_times_complex tptp.imaginary_unit) (@ tptp.real_V4546457046886955230omplex (@ tptp.sin_real A))))) tptp.one_one_real)))
% 14.05/14.29 (assume a9365 (= tptp.cosh_real (lambda ((X2 tptp.real)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.plus_plus_real (@ tptp.exp_real X2)) (@ tptp.exp_real (@ tptp.uminus_uminus_real X2)))))))
% 14.05/14.29 (assume a9366 (= tptp.cosh_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.plus_plus_complex (@ tptp.exp_complex X2)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex X2)))))))
% 14.05/14.29 (assume a9367 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.cosh_real (@ tptp.ln_ln_real X)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real X) (@ tptp.inverse_inverse_real X))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9368 (= tptp.sinh_real (lambda ((X2 tptp.real)) (@ (@ tptp.real_V1485227260804924795R_real (@ tptp.inverse_inverse_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_real (@ tptp.exp_real X2)) (@ tptp.exp_real (@ tptp.uminus_uminus_real X2)))))))
% 14.05/14.29 (assume a9369 (= tptp.sinh_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.real_V2046097035970521341omplex (@ tptp.inverse_inverse_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_complex (@ tptp.exp_complex X2)) (@ tptp.exp_complex (@ tptp.uminus1482373934393186551omplex X2)))))))
% 14.05/14.29 (assume a9370 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ tptp.sinh_real (@ tptp.ln_ln_real X)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real X) (@ tptp.inverse_inverse_real X))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9371 (= (@ tptp.arg (@ tptp.uminus1482373934393186551omplex tptp.imaginary_unit)) (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 14.05/14.29 (assume a9372 (= (@ tptp.csqrt tptp.imaginary_unit) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.plus_plus_complex tptp.one_one_complex) tptp.imaginary_unit)) (@ tptp.real_V4546457046886955230omplex (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9373 (= (@ tptp.arg tptp.imaginary_unit) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))
% 14.05/14.29 (assume a9374 (= (@ tptp.cis (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.uminus1482373934393186551omplex tptp.imaginary_unit)))
% 14.05/14.29 (assume a9375 (forall ((A tptp.real)) (= (@ tptp.real_V1022390504157884413omplex (@ tptp.cis A)) tptp.one_one_real)))
% 14.05/14.29 (assume a9376 (forall ((Z tptp.complex)) (= (@ (@ tptp.power_power_complex (@ tptp.csqrt Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Z)))
% 14.05/14.29 (assume a9377 (= (@ tptp.cis (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.imaginary_unit))
% 14.05/14.29 (assume a9378 (= (@ tptp.cis (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_complex))
% 14.05/14.29 (assume a9379 (forall ((A tptp.real) (B tptp.real)) (= (@ (@ tptp.times_times_complex (@ tptp.cis A)) (@ tptp.cis B)) (@ tptp.cis (@ (@ tptp.plus_plus_real A) B)))))
% 14.05/14.29 (assume a9380 (forall ((A tptp.real) (N2 tptp.nat)) (= (@ (@ tptp.power_power_complex (@ tptp.cis A)) N2) (@ tptp.cis (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) A)))))
% 14.05/14.29 (assume a9381 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ tptp.real_V4546457046886955230omplex (@ tptp.sqrt X)) (@ tptp.csqrt (@ tptp.real_V4546457046886955230omplex X))))))
% 14.05/14.29 (assume a9382 (forall ((Z tptp.complex)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.arg Z)) (@ (@ tptp.ord_less_eq_real (@ tptp.arg Z)) tptp.pi))))
% 14.05/14.29 (assume a9383 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ (@ tptp.bij_betw_nat_complex (lambda ((K3 tptp.nat)) (@ tptp.cis (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) (@ tptp.semiri5074537144036343181t_real K3))) (@ tptp.semiri5074537144036343181t_real N2))))) (@ tptp.set_ord_lessThan_nat N2)) (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) tptp.one_one_complex)))))))
% 14.05/14.29 (assume a9384 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.cot_real X)) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9385 (forall ((X tptp.real)) (= (@ tptp.cot_real (@ (@ tptp.plus_plus_real X) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))) (@ tptp.cot_real X))))
% 14.05/14.29 (assume a9386 (= tptp.arctan (lambda ((Y3 tptp.real)) (@ tptp.the_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X2) (@ (@ tptp.ord_less_real X2) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.tan_real X2) Y3)))))))
% 14.05/14.29 (assume a9387 (forall ((N2 tptp.nat)) (= (@ tptp.cot_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) tptp.pi)) tptp.zero_zero_real)))
% 14.05/14.29 (assume a9388 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (= (@ tptp.ln_ln_real X) (@ tptp.the_real (lambda ((X2 tptp.real)) false))))))
% 14.05/14.29 (assume a9389 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (H2 (-> tptp.real tptp.real)) (S tptp.set_real) (T3 tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite_finite_real T5) (=> (@ (@ (@ tptp.bij_betw_real_real H2) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.minus_minus_set_real T3) T5)) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((X2 tptp.real)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups7973222482632965587d_enat G) T3)))))))))
% 14.05/14.29 (assume a9390 (forall ((S5 tptp.set_real) (T5 tptp.set_int) (H2 (-> tptp.real tptp.int)) (S tptp.set_real) (T3 tptp.set_int) (G (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite_finite_int T5) (=> (@ (@ (@ tptp.bij_betw_real_int H2) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.minus_minus_set_int T3) T5)) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((X2 tptp.real)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups5078248829458667347d_enat G) T3)))))))))
% 14.05/14.29 (assume a9391 (forall ((S5 tptp.set_int) (T5 tptp.set_real) (H2 (-> tptp.int tptp.real)) (S tptp.set_int) (T3 tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_real T5) (=> (@ (@ (@ tptp.bij_betw_int_real H2) (@ (@ tptp.minus_minus_set_int S) S5)) (@ (@ tptp.minus_minus_set_real T3) T5)) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((X2 tptp.int)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups7973222482632965587d_enat G) T3)))))))))
% 14.05/14.29 (assume a9392 (forall ((S5 tptp.set_int) (T5 tptp.set_int) (H2 (-> tptp.int tptp.int)) (S tptp.set_int) (T3 tptp.set_int) (G (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_int T5) (=> (@ (@ (@ tptp.bij_betw_int_int H2) (@ (@ tptp.minus_minus_set_int S) S5)) (@ (@ tptp.minus_minus_set_int T3) T5)) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((X2 tptp.int)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups5078248829458667347d_enat G) T3)))))))))
% 14.05/14.29 (assume a9393 (forall ((S5 tptp.set_real) (T5 tptp.set_complex) (H2 (-> tptp.real tptp.complex)) (S tptp.set_real) (T3 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite3207457112153483333omplex T5) (=> (@ (@ (@ tptp.bij_be1067425076133476306omplex H2) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups7973222482632965587d_enat (lambda ((X2 tptp.real)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups8780218893797010257d_enat G) T3)))))))))
% 14.05/14.29 (assume a9394 (forall ((S5 tptp.set_int) (T5 tptp.set_complex) (H2 (-> tptp.int tptp.complex)) (S tptp.set_int) (T3 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite3207457112153483333omplex T5) (=> (@ (@ (@ tptp.bij_betw_int_complex H2) (@ (@ tptp.minus_minus_set_int S) S5)) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups5078248829458667347d_enat (lambda ((X2 tptp.int)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups8780218893797010257d_enat G) T3)))))))))
% 14.05/14.29 (assume a9395 (forall ((S5 tptp.set_complex) (T5 tptp.set_real) (H2 (-> tptp.complex tptp.real)) (S tptp.set_complex) (T3 tptp.set_real) (G (-> tptp.real tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S5) (=> (@ tptp.finite_finite_real T5) (=> (@ (@ (@ tptp.bij_be1121013576637796946x_real H2) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (@ (@ tptp.minus_minus_set_real T3) T5)) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((X2 tptp.complex)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups7973222482632965587d_enat G) T3)))))))))
% 14.05/14.29 (assume a9396 (forall ((S5 tptp.set_complex) (T5 tptp.set_int) (H2 (-> tptp.complex tptp.int)) (S tptp.set_complex) (T3 tptp.set_int) (G (-> tptp.int tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S5) (=> (@ tptp.finite_finite_int T5) (=> (@ (@ (@ tptp.bij_betw_complex_int H2) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (@ (@ tptp.minus_minus_set_int T3) T5)) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (@ (@ tptp.member_int B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((X2 tptp.complex)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups5078248829458667347d_enat G) T3)))))))))
% 14.05/14.29 (assume a9397 (forall ((S5 tptp.set_complex) (T5 tptp.set_complex) (H2 (-> tptp.complex tptp.complex)) (S tptp.set_complex) (T3 tptp.set_complex) (G (-> tptp.complex tptp.extended_enat))) (=> (@ tptp.finite3207457112153483333omplex S5) (=> (@ tptp.finite3207457112153483333omplex T5) (=> (@ (@ (@ tptp.bij_be1856998921033663316omplex H2) (@ (@ tptp.minus_811609699411566653omplex S) S5)) (@ (@ tptp.minus_811609699411566653omplex T3) T5)) (=> (forall ((A3 tptp.complex)) (=> (@ (@ tptp.member_complex A3) S5) (= (@ G (@ H2 A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (@ (@ tptp.member_complex B3) T5) (= (@ G B3) tptp.one_on7984719198319812577d_enat))) (= (@ (@ tptp.groups8780218893797010257d_enat (lambda ((X2 tptp.complex)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups8780218893797010257d_enat G) T3)))))))))
% 14.05/14.29 (assume a9398 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (H2 (-> tptp.real tptp.real)) (S tptp.set_real) (T3 tptp.set_real) (G (-> tptp.real tptp.complex))) (=> (@ tptp.finite_finite_real S5) (=> (@ tptp.finite_finite_real T5) (=> (@ (@ (@ tptp.bij_betw_real_real H2) (@ (@ tptp.minus_minus_set_real S) S5)) (@ (@ tptp.minus_minus_set_real T3) T5)) (=> (forall ((A3 tptp.real)) (=> (@ (@ tptp.member_real A3) S5) (= (@ G (@ H2 A3)) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (@ (@ tptp.member_real B3) T5) (= (@ G B3) tptp.one_one_complex))) (= (@ (@ tptp.groups713298508707869441omplex (lambda ((X2 tptp.real)) (@ G (@ H2 X2)))) S) (@ (@ tptp.groups713298508707869441omplex G) T3)))))))))
% 14.05/14.29 (assume a9399 (= tptp.cot_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.cos_real X2)) (@ tptp.sin_real X2)))))
% 14.05/14.29 (assume a9400 (= tptp.cot_complex (lambda ((X2 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ tptp.cos_complex X2)) (@ tptp.sin_complex X2)))))
% 14.05/14.29 (assume a9401 (= tptp.arccos (lambda ((Y3 tptp.real)) (@ tptp.the_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X2) (@ (@ tptp.ord_less_eq_real X2) tptp.pi) (= (@ tptp.cos_real X2) Y3)))))))
% 14.05/14.29 (assume a9402 (= (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.the_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X2) (@ (@ tptp.ord_less_eq_real X2) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (= (@ tptp.cos_real X2) tptp.zero_zero_real))))))
% 14.05/14.29 (assume a9403 (= tptp.pi (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.the_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X2) (@ (@ tptp.ord_less_eq_real X2) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (= (@ tptp.cos_real X2) tptp.zero_zero_real)))))))
% 14.05/14.29 (assume a9404 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.cot_real X))))))
% 14.05/14.29 (assume a9405 (forall ((X tptp.real)) (= (@ tptp.tan_real (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) X)) (@ tptp.cot_real X))))
% 14.05/14.29 (assume a9406 (= tptp.arcsin (lambda ((Y3 tptp.real)) (@ tptp.the_real (lambda ((X2 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) X2) (@ (@ tptp.ord_less_eq_real X2) (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (= (@ tptp.sin_real X2) Y3)))))))
% 14.05/14.29 (assume a9407 (forall ((L2 tptp.int) (K tptp.int) (N2 tptp.nat) (M tptp.nat)) (and (=> (or (= (@ tptp.sgn_sgn_int L2) tptp.zero_zero_int) (= (@ tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int N2))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M)))) (=> (not (or (= (@ tptp.sgn_sgn_int L2) tptp.zero_zero_int) (= (@ tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N2 tptp.zero_zero_nat))) (and (=> (= (@ tptp.sgn_sgn_int K) (@ tptp.sgn_sgn_int L2)) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int N2))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.modulo_modulo_nat M) N2))))) (=> (not (= (@ tptp.sgn_sgn_int K) (@ tptp.sgn_sgn_int L2))) (= (@ (@ tptp.modulo_modulo_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int N2))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ (@ tptp.minus_minus_int (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.times_times_nat N2) (@ tptp.zero_n2687167440665602831ol_nat (not (@ (@ tptp.dvd_dvd_nat N2) M)))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.modulo_modulo_nat M) N2)))))))))))
% 14.05/14.29 (assume a9408 (forall ((X tptp.real) (I2 tptp.int)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) I2) (= (@ (@ tptp.powr_real X) (@ tptp.ring_1_of_int_real I2)) (@ (@ tptp.power_power_real X) (@ tptp.nat2 I2)))) (=> (not (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) I2)) (= (@ (@ tptp.powr_real X) (@ tptp.ring_1_of_int_real I2)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.nat2 (@ tptp.uminus_uminus_int I2))))))))))
% 14.05/14.29 (assume a9409 (forall ((L2 tptp.int) (K tptp.int) (N2 tptp.nat) (M tptp.nat)) (and (=> (or (= (@ tptp.sgn_sgn_int L2) tptp.zero_zero_int) (= (@ tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N2 tptp.zero_zero_nat)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int N2))) tptp.zero_zero_int)) (=> (not (or (= (@ tptp.sgn_sgn_int L2) tptp.zero_zero_int) (= (@ tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N2 tptp.zero_zero_nat))) (and (=> (= (@ tptp.sgn_sgn_int K) (@ tptp.sgn_sgn_int L2)) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int N2))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat M) N2)))) (=> (not (= (@ tptp.sgn_sgn_int K) (@ tptp.sgn_sgn_int L2))) (= (@ (@ tptp.divide_divide_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int K)) (@ tptp.semiri1314217659103216013at_int M))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L2)) (@ tptp.semiri1314217659103216013at_int N2))) (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat M) N2)) (@ tptp.zero_n2687167440665602831ol_nat (not (@ (@ tptp.dvd_dvd_nat N2) M)))))))))))))
% 14.05/14.29 (assume a9410 (forall ((Xs2 tptp.list_int) (X8 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int (@ tptp.set_int2 Xs2)) X8) (=> (@ tptp.finite_finite_int X8) (= (@ (@ tptp.groups4541462559716669496nt_nat (@ tptp.count_list_int Xs2)) X8) (@ tptp.size_size_list_int Xs2))))))
% 14.05/14.29 (assume a9411 (forall ((Xs2 tptp.list_real) (X8 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real (@ tptp.set_real2 Xs2)) X8) (=> (@ tptp.finite_finite_real X8) (= (@ (@ tptp.groups1935376822645274424al_nat (@ tptp.count_list_real Xs2)) X8) (@ tptp.size_size_list_real Xs2))))))
% 14.05/14.29 (assume a9412 (forall ((Xs2 tptp.list_nat) (X8 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ tptp.set_nat2 Xs2)) X8) (=> (@ tptp.finite_finite_nat X8) (= (@ (@ tptp.groups3542108847815614940at_nat (@ tptp.count_list_nat Xs2)) X8) (@ tptp.size_size_list_nat Xs2))))))
% 14.05/14.29 (assume a9413 (forall ((K tptp.num)) (= (@ tptp.nat2 (@ tptp.numeral_numeral_int K)) (@ tptp.numeral_numeral_nat K))))
% 14.05/14.29 (assume a9414 (= (@ tptp.nat2 tptp.one_one_int) (@ tptp.suc tptp.zero_zero_nat)))
% 14.05/14.29 (assume a9415 (forall ((W tptp.int) (Z tptp.int)) (= (@ (@ tptp.ord_less_nat (@ tptp.nat2 W)) (@ tptp.nat2 Z)) (and (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (@ (@ tptp.ord_less_int W) Z)))))
% 14.05/14.29 (assume a9416 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) (@ tptp.nat2 Z)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z))))
% 14.05/14.29 (assume a9417 (forall ((V tptp.num) (V3 tptp.num)) (= (@ (@ tptp.minus_minus_nat (@ tptp.numeral_numeral_nat V)) (@ tptp.numeral_numeral_nat V3)) (@ tptp.nat2 (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int V)) (@ tptp.numeral_numeral_int V3))))))
% 14.05/14.29 (assume a9418 (forall ((Y tptp.int) (X tptp.num) (N2 tptp.nat)) (= (= (@ tptp.nat2 Y) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)) (= Y (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 14.05/14.29 (assume a9419 (forall ((X tptp.num) (N2 tptp.nat) (Y tptp.int)) (= (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2) (@ tptp.nat2 Y)) (= (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2) Y))))
% 14.05/14.29 (assume a9420 (forall ((X tptp.real) (A tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.nat2 (@ tptp.archim7802044766580827645g_real X))) A) (@ (@ tptp.ord_less_eq_real X) (@ tptp.semiri5074537144036343181t_real A)))))
% 14.05/14.29 (assume a9421 (forall ((Z tptp.int)) (= (@ (@ tptp.ord_less_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.nat2 Z)) (@ (@ tptp.ord_less_int tptp.one_one_int) Z))))
% 14.05/14.29 (assume a9422 (forall ((V tptp.num)) (= (@ (@ tptp.minus_minus_nat (@ tptp.numeral_numeral_nat V)) tptp.one_one_nat) (@ tptp.nat2 (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int V)) tptp.one_one_int)))))
% 14.05/14.29 (assume a9423 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_nat (@ tptp.nat2 A)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)) (@ (@ tptp.ord_less_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 14.05/14.29 (assume a9424 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)) (@ tptp.nat2 A)) (@ (@ tptp.ord_less_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) A))))
% 14.05/14.29 (assume a9425 (forall ((X tptp.num) (N2 tptp.nat) (A tptp.int)) (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)) (@ tptp.nat2 A)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)) A))))
% 14.05/14.29 (assume a9426 (forall ((A tptp.int) (X tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.nat2 A)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat X)) N2)) (@ (@ tptp.ord_less_eq_int A) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int X)) N2)))))
% 14.05/14.29 (assume a9427 (= tptp.numeral_numeral_nat (lambda ((I5 tptp.num)) (@ tptp.nat2 (@ tptp.numeral_numeral_int I5)))))
% 14.05/14.29 (assume a9428 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int X) Y) (@ (@ tptp.ord_less_eq_nat (@ tptp.nat2 X)) (@ tptp.nat2 Y)))))
% 14.05/14.29 (assume a9429 (= tptp.one_one_nat (@ tptp.nat2 tptp.one_one_int)))
% 14.05/14.29 (assume a9430 (= tptp.bit_se4205575877204974255it_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ tptp.nat2 (@ (@ tptp.bit_se4203085406695923979it_int M6) (@ tptp.semiri1314217659103216013at_int N))))))
% 14.05/14.29 (assume a9431 (forall ((N2 tptp.nat)) (= (@ tptp.nat2 (@ tptp.bit_se2000444600071755411sk_int N2)) (@ tptp.bit_se2002935070580805687sk_nat N2))))
% 14.05/14.29 (assume a9432 (forall ((Z tptp.int) (W tptp.int)) (=> (@ (@ tptp.ord_less_int tptp.zero_zero_int) Z) (= (@ (@ tptp.ord_less_nat (@ tptp.nat2 W)) (@ tptp.nat2 Z)) (@ (@ tptp.ord_less_int W) Z)))))
% 14.05/14.29 (assume a9433 (forall ((M tptp.nat) (Z tptp.int)) (= (@ (@ tptp.ord_less_nat M) (@ tptp.nat2 Z)) (@ (@ tptp.ord_less_int (@ tptp.semiri1314217659103216013at_int M)) Z))))
% 14.05/14.29 (assume a9434 (forall ((X tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.nat2 X)) N2) (@ (@ tptp.ord_less_eq_int X) (@ tptp.semiri1314217659103216013at_int N2)))))
% 14.05/14.29 (assume a9435 (forall ((A tptp.nat) (B tptp.nat)) (= (@ tptp.nat2 (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B))) (@ (@ tptp.plus_plus_nat A) B))))
% 14.05/14.29 (assume a9436 (forall ((L2 tptp.int) (K tptp.int)) (=> (not (= L2 tptp.zero_zero_int)) (=> (not (@ (@ tptp.dvd_dvd_int L2) K)) (= (@ tptp.sgn_sgn_int (@ (@ tptp.modulo_modulo_int K) L2)) (@ tptp.sgn_sgn_int L2))))))
% 14.05/14.29 (assume a9437 (forall ((W tptp.int) (Z tptp.int)) (= (@ tptp.nat2 (@ tptp.abs_abs_int (@ (@ tptp.times_times_int W) Z))) (@ (@ tptp.times_times_nat (@ tptp.nat2 (@ tptp.abs_abs_int W))) (@ tptp.nat2 (@ tptp.abs_abs_int Z))))))
% 14.05/14.29 (assume a9438 (= tptp.bit_se727722235901077358nd_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ tptp.nat2 (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.semiri1314217659103216013at_int M6)) (@ tptp.semiri1314217659103216013at_int N))))))
% 14.05/14.29 (assume a9439 (= tptp.plus_plus_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ tptp.nat2 (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4))))))
% 14.05/14.29 (assume a9440 (= tptp.times_times_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ tptp.nat2 (@ (@ tptp.times_times_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4))))))
% 14.05/14.29 (assume a9441 (= tptp.bit_se1412395901928357646or_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ tptp.nat2 (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.semiri1314217659103216013at_int M6)) (@ tptp.semiri1314217659103216013at_int N))))))
% 14.05/14.29 (assume a9442 (forall ((X tptp.real)) (@ (@ tptp.ord_less_eq_real X) (@ tptp.semiri5074537144036343181t_real (@ tptp.nat2 (@ tptp.archim7802044766580827645g_real X))))))
% 14.05/14.29 (assume a9443 (= tptp.divide_divide_nat (lambda ((A4 tptp.nat) (B4 tptp.nat)) (@ tptp.nat2 (@ (@ tptp.divide_divide_int (@ tptp.semiri1314217659103216013at_int A4)) (@ tptp.semiri1314217659103216013at_int B4))))))
% 14.05/14.29 (assume a9444 (forall ((W tptp.int) (Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) W) (= (@ (@ tptp.ord_less_nat (@ tptp.nat2 W)) (@ tptp.nat2 Z)) (@ (@ tptp.ord_less_int W) Z)))))
% 14.05/14.29 (assume a9445 (forall ((W tptp.int) (Z tptp.int)) (=> (or (@ (@ tptp.ord_less_int tptp.zero_zero_int) W) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.nat2 W)) (@ tptp.nat2 Z)) (@ (@ tptp.ord_less_eq_int W) Z)))))
% 14.05/14.29 (assume a9446 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (= (@ (@ tptp.ord_less_eq_nat N2) (@ tptp.nat2 K)) (@ (@ tptp.ord_less_eq_int (@ tptp.semiri1314217659103216013at_int N2)) K)))))
% 14.05/14.29 (assume a9447 (forall ((Z tptp.int) (Z6 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z6) (= (@ tptp.nat2 (@ (@ tptp.plus_plus_int Z) Z6)) (@ (@ tptp.plus_plus_nat (@ tptp.nat2 Z)) (@ tptp.nat2 Z6)))))))
% 14.05/14.29 (assume a9448 (forall ((Z tptp.int) (Z6 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z) (= (@ tptp.nat2 (@ (@ tptp.times_times_int Z) Z6)) (@ (@ tptp.times_times_nat (@ tptp.nat2 Z)) (@ tptp.nat2 Z6))))))
% 14.05/14.29 (assume a9449 (= tptp.suc (lambda ((A4 tptp.nat)) (@ tptp.nat2 (@ (@ tptp.plus_plus_int (@ tptp.semiri1314217659103216013at_int A4)) tptp.one_one_int)))))
% 14.05/14.29 (assume a9450 (forall ((K tptp.int) (L2 tptp.int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.nat2 (@ tptp.abs_abs_int (@ (@ tptp.plus_plus_int K) L2)))) (@ (@ tptp.plus_plus_nat (@ tptp.nat2 (@ tptp.abs_abs_int K))) (@ tptp.nat2 (@ tptp.abs_abs_int L2))))))
% 14.05/14.29 (assume a9451 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (= (@ tptp.nat2 (@ (@ tptp.divide_divide_int X) Y)) (@ (@ tptp.divide_divide_nat (@ tptp.nat2 X)) (@ tptp.nat2 Y))))))
% 14.05/14.29 (assume a9452 (forall ((Y tptp.int) (X tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (= (@ tptp.nat2 (@ (@ tptp.divide_divide_int X) Y)) (@ (@ tptp.divide_divide_nat (@ tptp.nat2 X)) (@ tptp.nat2 Y))))))
% 14.05/14.29 (assume a9453 (forall ((Z tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z) (= (@ tptp.nat2 (@ (@ tptp.power_power_int Z) N2)) (@ (@ tptp.power_power_nat (@ tptp.nat2 Z)) N2)))))
% 14.05/14.29 (assume a9454 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real) (= (@ tptp.nat2 (@ tptp.archim6058952711729229775r_real X)) tptp.zero_zero_nat))))
% 14.05/14.29 (assume a9455 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.divide_divide_int (@ tptp.abs_abs_int K)) (@ tptp.abs_abs_int L2)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat (@ tptp.nat2 (@ tptp.abs_abs_int K))) (@ tptp.nat2 (@ tptp.abs_abs_int L2)))))))
% 14.05/14.29 (assume a9456 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (= (@ tptp.nat2 (@ (@ tptp.modulo_modulo_int X) Y)) (@ (@ tptp.modulo_modulo_nat (@ tptp.nat2 X)) (@ tptp.nat2 Y)))))))
% 14.05/14.29 (assume a9457 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.semiri5074537144036343181t_real N2)) X) (=> (@ (@ tptp.ord_less_real X) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N2))) (= (@ tptp.nat2 (@ tptp.archim6058952711729229775r_real X)) N2)))))
% 14.05/14.29 (assume a9458 (forall ((X tptp.nat) (A tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real X)) A) (@ (@ tptp.ord_less_eq_nat X) (@ tptp.nat2 (@ tptp.archim6058952711729229775r_real A))))))
% 14.05/14.29 (assume a9459 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (= (@ tptp.nat2 (@ (@ tptp.bit_se2923211474154528505it_int N2) K)) (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.nat2 K))))))
% 14.05/14.29 (assume a9460 (forall ((K tptp.int) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (= (@ (@ tptp.bit_se2925701944663578781it_nat N2) (@ tptp.nat2 K)) (@ tptp.nat2 (@ (@ tptp.bit_se2923211474154528505it_int N2) K))))))
% 14.05/14.29 (assume a9461 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ tptp.nat2 K)) N2) (and (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (@ (@ tptp.bit_se1146084159140164899it_int K) N2)))))
% 14.05/14.29 (assume a9462 (= tptp.divide_divide_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ (@ tptp.if_int (= L tptp.zero_zero_int)) tptp.zero_zero_int) (@ (@ (@ tptp.if_int (= (@ tptp.sgn_sgn_int K3) (@ tptp.sgn_sgn_int L))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat (@ tptp.nat2 (@ tptp.abs_abs_int K3))) (@ tptp.nat2 (@ tptp.abs_abs_int L))))) (@ tptp.uminus_uminus_int (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.plus_plus_nat (@ (@ tptp.divide_divide_nat (@ tptp.nat2 (@ tptp.abs_abs_int K3))) (@ tptp.nat2 (@ tptp.abs_abs_int L)))) (@ tptp.zero_n2687167440665602831ol_nat (not (@ (@ tptp.dvd_dvd_int L) K3)))))))))))
% 14.05/14.29 (assume a9463 (= tptp.modulo_modulo_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ (@ tptp.if_int (= L tptp.zero_zero_int)) K3) (@ (@ (@ tptp.if_int (= (@ tptp.sgn_sgn_int K3) (@ tptp.sgn_sgn_int L))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L)) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.modulo_modulo_nat (@ tptp.nat2 (@ tptp.abs_abs_int K3))) (@ tptp.nat2 (@ tptp.abs_abs_int L)))))) (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int L)) (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int (@ tptp.abs_abs_int L)) (@ tptp.zero_n2684676970156552555ol_int (not (@ (@ tptp.dvd_dvd_int L) K3))))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.modulo_modulo_nat (@ tptp.nat2 (@ tptp.abs_abs_int K3))) (@ tptp.nat2 (@ tptp.abs_abs_int L)))))))))))
% 14.05/14.29 (assume a9464 (= (@ tptp.nat2 (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.suc (@ tptp.suc tptp.zero_zero_nat))))
% 14.05/14.29 (assume a9465 (forall ((Z tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Z) (= (@ tptp.suc (@ tptp.nat2 Z)) (@ tptp.nat2 (@ (@ tptp.plus_plus_int tptp.one_one_int) Z))))))
% 14.05/14.29 (assume a9466 (forall ((W tptp.int) (M tptp.nat)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) W) (= (@ (@ tptp.ord_less_nat (@ tptp.nat2 W)) M) (@ (@ tptp.ord_less_int W) (@ tptp.semiri1314217659103216013at_int M))))))
% 14.05/14.29 (assume a9467 (forall ((Z tptp.int) (Z6 tptp.int)) (=> (@ (@ tptp.ord_less_eq_int Z) tptp.zero_zero_int) (= (@ tptp.nat2 (@ (@ tptp.times_times_int Z) Z6)) (@ (@ tptp.times_times_nat (@ tptp.nat2 (@ tptp.uminus_uminus_int Z))) (@ tptp.nat2 (@ tptp.uminus_uminus_int Z6)))))))
% 14.05/14.29 (assume a9468 (forall ((A tptp.nat) (B tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat A) B) (= (@ tptp.nat2 (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))) (@ (@ tptp.minus_minus_nat B) A))) (=> (not (@ (@ tptp.ord_less_eq_nat A) B)) (= (@ tptp.nat2 (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))) (@ (@ tptp.minus_minus_nat A) B))))))
% 14.05/14.29 (assume a9469 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.semiri5074537144036343181t_real N2)) X) (=> (@ (@ tptp.ord_less_real X) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N2))) (= (@ tptp.nat2 (@ tptp.archim6058952711729229775r_real X)) N2)))))
% 14.05/14.29 (assume a9470 (forall ((K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (= (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ tptp.nat2 K)) (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K)))))
% 14.05/14.29 (assume a9471 (forall ((X tptp.real) (N2 tptp.int)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (and (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) N2) (= (@ (@ tptp.powr_real X) (@ tptp.ring_1_of_int_real N2)) (@ (@ tptp.power_power_real X) (@ tptp.nat2 N2)))) (=> (not (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) N2)) (= (@ (@ tptp.powr_real X) (@ tptp.ring_1_of_int_real N2)) (@ tptp.inverse_inverse_real (@ (@ tptp.power_power_real X) (@ tptp.nat2 (@ tptp.uminus_uminus_int N2))))))))))
% 14.05/14.29 (assume a9472 (forall ((C tptp.complex) (N2 tptp.nat)) (=> (not (= C tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ (@ tptp.bij_be1856998921033663316omplex (@ tptp.times_times_complex (@ (@ tptp.times_times_complex (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.root N2) (@ tptp.real_V1022390504157884413omplex C)))) (@ tptp.cis (@ (@ tptp.divide_divide_real (@ tptp.arg C)) (@ tptp.semiri5074537144036343181t_real N2)))))) (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) tptp.one_one_complex)))) (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) C))))))))
% 14.05/14.29 (assume a9473 (forall ((X tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (@ tptp.arctan (@ (@ tptp.divide_divide_real tptp.one_one_real) X)) (@ (@ tptp.minus_minus_real (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real X)) tptp.pi)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.arctan X))))))
% 14.05/14.29 (assume a9474 (forall ((N2 tptp.real)) (=> (@ (@ tptp.member_real N2) tptp.ring_1_Ints_real) (= (@ tptp.cis (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) N2)) tptp.one_one_complex))))
% 14.05/14.29 (assume a9475 (forall ((N2 tptp.nat)) (= (@ (@ tptp.root N2) tptp.zero_zero_real) tptp.zero_zero_real)))
% 14.05/14.29 (assume a9476 (forall ((X tptp.real)) (= (@ (@ tptp.root (@ tptp.suc tptp.zero_zero_nat)) X) X)))
% 14.05/14.29 (assume a9477 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (= (@ (@ tptp.root N2) X) (@ (@ tptp.root N2) Y)) (= X Y)))))
% 14.05/14.29 (assume a9478 (forall ((X tptp.real)) (= (@ (@ tptp.root tptp.zero_zero_nat) X) tptp.zero_zero_real)))
% 14.05/14.29 (assume a9479 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.sgn_sgn_real X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9480 (forall ((X tptp.real)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.sgn_sgn_real X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X))))
% 14.05/14.29 (assume a9481 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (= (@ (@ tptp.root N2) X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9482 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) Y)) (@ (@ tptp.ord_less_real X) Y)))))
% 14.05/14.29 (assume a9483 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) Y)) (@ (@ tptp.ord_less_eq_real X) Y)))))
% 14.05/14.29 (assume a9484 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.root N2) tptp.one_one_real) tptp.one_one_real))))
% 14.05/14.29 (assume a9485 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (= (@ (@ tptp.root N2) X) tptp.one_one_real) (= X tptp.one_one_real)))))
% 14.05/14.29 (assume a9486 (forall ((N2 tptp.nat) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.root N2) Y)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y)))))
% 14.05/14.29 (assume a9487 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_real (@ (@ tptp.root N2) X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_real X) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9488 (forall ((N2 tptp.nat) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.root N2) Y)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y)))))
% 14.05/14.29 (assume a9489 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.root N2) X)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 14.05/14.29 (assume a9490 (forall ((N2 tptp.nat) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_real tptp.one_one_real) (@ (@ tptp.root N2) Y)) (@ (@ tptp.ord_less_real tptp.one_one_real) Y)))))
% 14.05/14.29 (assume a9491 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_real (@ (@ tptp.root N2) X)) tptp.one_one_real) (@ (@ tptp.ord_less_real X) tptp.one_one_real)))))
% 14.05/14.29 (assume a9492 (forall ((N2 tptp.nat) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ (@ tptp.root N2) Y)) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) Y)))))
% 14.05/14.29 (assume a9493 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.root N2) X)) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 14.05/14.29 (assume a9494 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) N2) X)))))
% 14.05/14.29 (assume a9495 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.sgn_sgn_real (@ (@ tptp.root N2) X)) (@ tptp.sgn_sgn_real X)))))
% 14.05/14.29 (assume a9496 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.root N2) (@ (@ tptp.divide_divide_real X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) Y)))))
% 14.05/14.29 (assume a9497 (forall ((N2 tptp.nat) (X tptp.real)) (= (@ (@ tptp.root N2) (@ tptp.uminus_uminus_real X)) (@ tptp.uminus_uminus_real (@ (@ tptp.root N2) X)))))
% 14.05/14.29 (assume a9498 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.real)) (= (@ (@ tptp.root M) (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) (@ (@ tptp.root M) X)))))
% 14.05/14.29 (assume a9499 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (= (@ (@ tptp.root N2) (@ (@ tptp.times_times_real X) Y)) (@ (@ tptp.times_times_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) Y)))))
% 14.05/14.29 (assume a9500 (forall ((M tptp.nat) (N2 tptp.nat) (X tptp.real)) (= (@ (@ tptp.root (@ (@ tptp.times_times_nat M) N2)) X) (@ (@ tptp.root M) (@ (@ tptp.root N2) X)))))
% 14.05/14.29 (assume a9501 (forall ((N2 tptp.nat) (X tptp.real)) (= (@ (@ tptp.root N2) (@ tptp.inverse_inverse_real X)) (@ tptp.inverse_inverse_real (@ (@ tptp.root N2) X)))))
% 14.05/14.29 (assume a9502 (forall ((X tptp.real) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.root N2) X)))))
% 14.05/14.29 (assume a9503 (= tptp.sgn_sgn_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real X2) (@ tptp.abs_abs_real X2)))))
% 14.05/14.29 (assume a9504 (forall ((N2 tptp.nat) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.root N2) (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real Y)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real Y)) N2))) Y))))
% 14.05/14.29 (assume a9505 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real (@ (@ tptp.root N2) X))) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real (@ (@ tptp.root N2) X))) N2)) X))))
% 14.05/14.29 (assume a9506 (forall ((P (-> tptp.real Bool)) (N2 tptp.nat) (X tptp.real)) (= (@ P (@ (@ tptp.root N2) X)) (and (=> (= N2 tptp.zero_zero_nat) (@ P tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (forall ((Y3 tptp.real)) (=> (= (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real Y3)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real Y3)) N2)) X) (@ P Y3))))))))
% 14.05/14.29 (assume a9507 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real X) Y) (@ (@ tptp.ord_less_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) Y))))))
% 14.05/14.29 (assume a9508 (forall ((N2 tptp.nat) (X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_real X) Y) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N2) Y))))))
% 14.05/14.29 (assume a9509 (forall ((N2 tptp.nat) (X tptp.real) (K tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.root N2) (@ (@ tptp.power_power_real X) K)) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) K)))))
% 14.05/14.29 (assume a9510 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.root N2) (@ tptp.abs_abs_real X)) (@ tptp.abs_abs_real (@ (@ tptp.root N2) X))))))
% 14.05/14.29 (assume a9511 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.root N2) X))))))
% 14.05/14.29 (assume a9512 (forall ((N2 tptp.nat) (N3 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ tptp.ord_less_real (@ (@ tptp.root N3) X)) (@ (@ tptp.root N2) X)))))))
% 14.05/14.29 (assume a9513 (= tptp.sqrt (@ tptp.root (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))
% 14.05/14.29 (assume a9514 (= tptp.sgn_sgn_real (lambda ((A4 tptp.real)) (@ (@ (@ tptp.if_real (= A4 tptp.zero_zero_real)) tptp.zero_zero_real) (@ (@ (@ tptp.if_real (@ (@ tptp.ord_less_real tptp.zero_zero_real) A4)) tptp.one_one_real) (@ tptp.uminus_uminus_real tptp.one_one_real))))))
% 14.05/14.29 (assume a9515 (forall ((N2 tptp.nat) (Y tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.abs_abs_real (@ (@ tptp.root N2) (@ (@ tptp.power_power_real Y) N2))) (@ tptp.abs_abs_real Y)))))
% 14.05/14.29 (assume a9516 (forall ((X tptp.real)) (= (= (@ tptp.sin_real (@ (@ tptp.times_times_real X) tptp.pi)) tptp.zero_zero_real) (@ (@ tptp.member_real X) tptp.ring_1_Ints_real))))
% 14.05/14.29 (assume a9517 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ (@ tptp.root N2) X))))))
% 14.05/14.29 (assume a9518 (forall ((N2 tptp.nat) (N3 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_nat N2) N3) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ tptp.ord_less_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N3) X))))))))
% 14.05/14.29 (assume a9519 (forall ((N2 tptp.nat) (N3 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_real tptp.one_one_real) X) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.root N3) X)) (@ (@ tptp.root N2) X)))))))
% 14.05/14.29 (assume a9520 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) N2) X)))))
% 14.05/14.29 (assume a9521 (forall ((N2 tptp.nat) (X tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.root N2) (@ (@ tptp.power_power_real X) N2)) X))))
% 14.05/14.29 (assume a9522 (forall ((N2 tptp.nat) (Y tptp.real) (X tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (= (@ (@ tptp.power_power_real Y) N2) X) (= (@ (@ tptp.root N2) X) Y)))))
% 14.05/14.29 (assume a9523 (forall ((N2 tptp.nat) (X tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) N2) X))))
% 14.05/14.29 (assume a9524 (forall ((N2 tptp.nat) (Y tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y) (=> (= (@ (@ tptp.power_power_real Y) N2) X) (= (@ (@ tptp.root N2) X) Y))))))
% 14.05/14.29 (assume a9525 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (= (@ (@ tptp.root N2) (@ (@ tptp.power_power_real X) N2)) X)))))
% 14.05/14.29 (assume a9526 (forall ((A tptp.real) (N2 tptp.nat) (X tptp.real) (B tptp.real)) (=> (= (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real A)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real A)) N2)) X) (=> (= X (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real B)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real B)) N2))) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= A B))))))
% 14.05/14.29 (assume a9527 (forall ((N2 tptp.nat) (N3 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_eq_nat N2) N3) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.root N2) X)) (@ (@ tptp.root N3) X))))))))
% 14.05/14.29 (assume a9528 (forall ((Z tptp.complex) (X tptp.real)) (=> (= (@ tptp.sgn_sgn_complex Z) (@ tptp.cis X)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.pi)) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.pi) (= (@ tptp.arg Z) X))))))
% 14.05/14.29 (assume a9529 (forall ((N2 tptp.nat) (B tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (= (@ tptp.ln_ln_real (@ (@ tptp.root N2) B)) (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real B)) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 14.05/14.29 (assume a9530 (forall ((N2 tptp.nat) (A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) A) (= (@ (@ tptp.log B) (@ (@ tptp.root N2) A)) (@ (@ tptp.divide_divide_real (@ (@ tptp.log B) A)) (@ tptp.semiri5074537144036343181t_real N2)))))))
% 14.05/14.29 (assume a9531 (forall ((N2 tptp.nat) (B tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) B) (= (@ (@ tptp.log (@ (@ tptp.root N2) B)) X) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.log B) X)))))))
% 14.05/14.29 (assume a9532 (forall ((N2 tptp.real)) (=> (@ (@ tptp.member_real N2) tptp.ring_1_Ints_real) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) N2)) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9533 (forall ((N2 tptp.real)) (=> (@ (@ tptp.member_real N2) tptp.ring_1_Ints_real) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi)) N2)) tptp.one_one_real))))
% 14.05/14.29 (assume a9534 (forall ((Z tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (and (= (@ tptp.sgn_sgn_complex Z) (@ tptp.cis (@ tptp.arg Z))) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.pi)) (@ tptp.arg Z)) (@ (@ tptp.ord_less_eq_real (@ tptp.arg Z)) tptp.pi)))))
% 14.05/14.29 (assume a9535 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= (@ (@ tptp.root N2) X) (@ (@ tptp.powr_real X) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real N2))))))))
% 14.05/14.29 (assume a9536 (= tptp.arg (lambda ((Z5 tptp.complex)) (@ (@ (@ tptp.if_real (= Z5 tptp.zero_zero_complex)) tptp.zero_zero_real) (@ tptp.fChoice_real (lambda ((A4 tptp.real)) (and (= (@ tptp.sgn_sgn_complex Z5) (@ tptp.cis A4)) (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.pi)) A4) (@ (@ tptp.ord_less_eq_real A4) tptp.pi))))))))
% 14.05/14.29 (assume a9537 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se6528837805403552850or_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat N2) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ tptp.zero_n2687167440665602831ol_nat (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))))
% 14.05/14.29 (assume a9538 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se6528837805403552850or_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat N2) (@ tptp.zero_n2687167440665602831ol_nat (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ tptp.zero_n2687167440665602831ol_nat (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))))))
% 14.05/14.29 (assume a9539 (forall ((Bs tptp.list_o)) (@ (@ tptp.ord_less_int (@ (@ (@ tptp.groups9116527308978886569_o_int tptp.zero_n2684676970156552555ol_int) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Bs)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.size_size_list_o Bs)))))
% 14.05/14.29 (assume a9540 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se6528837805403552850or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 X))) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 X)))))
% 14.05/14.29 (assume a9541 (forall ((X tptp.num)) (= (@ (@ tptp.bit_se6528837805403552850or_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 X))) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 X)))))
% 14.05/14.29 (assume a9542 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se6528837805403552850or_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y)))))
% 14.05/14.29 (assume a9543 (forall ((Y tptp.num)) (= (@ (@ tptp.bit_se6528837805403552850or_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 Y))) (@ tptp.numeral_numeral_nat (@ tptp.bit1 Y)))))
% 14.05/14.29 (assume a9544 (= tptp.bit_se6528837805403552850or_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (= M6 tptp.zero_zero_nat)) N) (@ (@ (@ tptp.if_nat (= N tptp.zero_zero_nat)) M6) (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.modulo_modulo_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se6528837805403552850or_nat (@ (@ tptp.divide_divide_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))))
% 14.05/14.29 (assume a9545 (= tptp.bit_se6528837805403552850or_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ tptp.zero_n2687167440665602831ol_nat (not (= (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) M6)) (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))) (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se6528837805403552850or_nat (@ (@ tptp.divide_divide_nat M6) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9546 (= tptp.topolo4055970368930404560y_real (lambda ((X4 (-> tptp.nat tptp.real))) (forall ((J3 tptp.nat)) (exists ((M9 tptp.nat)) (forall ((M6 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M9) M6) (forall ((N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M9) N) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ X4 M6)) (@ X4 N)))) (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc J3)))))))))))))
% 14.05/14.29 (assume a9547 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se545348938243370406it_int N2) K)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 14.05/14.29 (assume a9548 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se545348938243370406it_int N2) K)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 14.05/14.29 (assume a9549 (forall ((N2 tptp.nat) (L2 tptp.int)) (= (@ (@ (@ tptp.bit_concat_bit N2) tptp.zero_zero_int) L2) (@ (@ tptp.bit_se545348938243370406it_int N2) L2))))
% 14.05/14.29 (assume a9550 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se6526347334894502574or_int K) L2)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) L2)))))
% 14.05/14.29 (assume a9551 (forall ((K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se6526347334894502574or_int K) L2)) tptp.zero_zero_int) (not (= (@ (@ tptp.ord_less_int K) tptp.zero_zero_int) (@ (@ tptp.ord_less_int L2) tptp.zero_zero_int))))))
% 14.05/14.29 (assume a9552 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se547839408752420682it_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2))))
% 14.05/14.29 (assume a9553 (= tptp.bit_se2159334234014336723it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.bit_se6526347334894502574or_int K3) (@ (@ tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 14.05/14.29 (assume a9554 (forall ((K tptp.int) (L2 tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se6526347334894502574or_int K) L2)) N2) (not (= (@ (@ tptp.bit_se1146084159140164899it_int K) N2) (@ (@ tptp.bit_se1146084159140164899it_int L2) N2))))))
% 14.05/14.29 (assume a9555 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_se547839408752420682it_nat N2) (@ tptp.nat2 K)) (@ tptp.nat2 (@ (@ tptp.bit_se545348938243370406it_int N2) K)))))
% 14.05/14.29 (assume a9556 (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) Y) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se6526347334894502574or_int X) Y))))))
% 14.05/14.29 (assume a9557 (= tptp.bit_se7882103937844011126it_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.bit_se1412395901928357646or_nat N) (@ (@ tptp.bit_se547839408752420682it_nat M6) tptp.one_one_nat)))))
% 14.05/14.29 (assume a9558 (= tptp.bit_se2161824704523386999it_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.bit_se6528837805403552850or_nat N) (@ (@ tptp.bit_se547839408752420682it_nat M6) tptp.one_one_nat)))))
% 14.05/14.29 (assume a9559 (forall ((M tptp.nat) (K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ (@ tptp.bit_se545348938243370406it_int M) K)) N2) (and (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.bit_se1146084159140164899it_int K) (@ (@ tptp.minus_minus_nat N2) M))))))
% 14.05/14.29 (assume a9560 (= tptp.bit_se6528837805403552850or_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ tptp.nat2 (@ (@ tptp.bit_se6526347334894502574or_int (@ tptp.semiri1314217659103216013at_int M6)) (@ tptp.semiri1314217659103216013at_int N))))))
% 14.05/14.29 (assume a9561 (forall ((M tptp.nat) (Q2 tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1148574629649215175it_nat (@ (@ tptp.bit_se547839408752420682it_nat M) Q2)) N2) (and (@ (@ tptp.ord_less_eq_nat M) N2) (@ (@ tptp.bit_se1148574629649215175it_nat Q2) (@ (@ tptp.minus_minus_nat N2) M))))))
% 14.05/14.29 (assume a9562 (= tptp.bit_concat_bit (lambda ((N tptp.nat) (K3 tptp.int) (L tptp.int)) (@ (@ tptp.plus_plus_int (@ (@ tptp.bit_se2923211474154528505it_int N) K3)) (@ (@ tptp.bit_se545348938243370406it_int N) L)))))
% 14.05/14.29 (assume a9563 (= tptp.bit_concat_bit (lambda ((N tptp.nat) (K3 tptp.int) (L tptp.int)) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se2923211474154528505it_int N) K3)) (@ (@ tptp.bit_se545348938243370406it_int N) L)))))
% 14.05/14.29 (assume a9564 (= tptp.bit_se7879613467334960850it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.bit_se1409905431419307370or_int K3) (@ (@ tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 14.05/14.29 (assume a9565 (= tptp.bit_se547839408752420682it_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ (@ tptp.times_times_nat M6) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))
% 14.05/14.29 (assume a9566 (= tptp.bit_se545348938243370406it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.times_times_int K3) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))
% 14.05/14.29 (assume a9567 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se545348938243370406it_int N2) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))
% 14.05/14.29 (assume a9568 (forall ((X tptp.int) (N2 tptp.nat) (Y tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) X) (=> (@ (@ tptp.ord_less_int X) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (=> (@ (@ tptp.ord_less_int Y) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)) (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se6526347334894502574or_int X) Y)) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N2)))))))
% 14.05/14.29 (assume a9569 (= tptp.bit_se6526347334894502574or_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (not (= (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K3)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) L)))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se6526347334894502574or_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9570 (= tptp.bit_se6526347334894502574or_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ (@ tptp.if_int (= K3 (@ tptp.uminus_uminus_int tptp.one_one_int))) (@ tptp.bit_ri7919022796975470100ot_int L)) (@ (@ (@ tptp.if_int (= L (@ tptp.uminus_uminus_int tptp.one_one_int))) (@ tptp.bit_ri7919022796975470100ot_int K3)) (@ (@ (@ tptp.if_int (= K3 tptp.zero_zero_int)) L) (@ (@ (@ tptp.if_int (= L tptp.zero_zero_int)) K3) (@ (@ tptp.plus_plus_int (@ tptp.abs_abs_int (@ (@ tptp.minus_minus_int (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.modulo_modulo_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se6526347334894502574or_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_int L) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))))))
% 14.05/14.29 (assume a9571 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or4665077453230672383an_nat M) N2)) (@ (@ tptp.divide_divide_nat (@ (@ tptp.minus_minus_nat (@ (@ tptp.times_times_nat N2) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat))) (@ (@ tptp.times_times_nat M) (@ (@ tptp.minus_minus_nat M) tptp.one_one_nat)))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9572 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (@ tptp.size_size_VEBT_VEBT (@ (@ (@ (@ tptp.vEBT_Node X11) X12) X13) X14)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.size_list_VEBT_VEBT tptp.size_size_VEBT_VEBT) X13)) (@ tptp.size_size_VEBT_VEBT X14))) (@ tptp.suc tptp.zero_zero_nat)))))
% 14.05/14.29 (assume a9573 (forall ((K tptp.nat)) (= (@ (@ tptp.groups3542108847815614940at_nat (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) K)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K)) tptp.one_one_nat))))
% 14.05/14.29 (assume a9574 (forall ((K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ tptp.bit_ri7919022796975470100ot_int K)) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 14.05/14.29 (assume a9575 (forall ((K tptp.int)) (= (@ (@ tptp.ord_less_int (@ tptp.bit_ri7919022796975470100ot_int K)) tptp.zero_zero_int) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 14.05/14.29 (assume a9576 (forall ((M tptp.nat)) (= (@ (@ tptp.set_or4665077453230672383an_nat M) (@ tptp.suc M)) (@ (@ tptp.insert_nat M) tptp.bot_bot_set_nat))))
% 14.05/14.29 (assume a9577 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int M)) tptp.one_one_int)) (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int N2)) tptp.one_one_int))))))
% 14.05/14.29 (assume a9578 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.bit_se725231765392027082nd_int (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int M)) tptp.one_one_int)) (@ (@ tptp.minus_minus_int (@ tptp.numeral_numeral_int N2)) tptp.one_one_int))))))
% 14.05/14.29 (assume a9579 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.bit_ri7919022796975470100ot_int K)) N2) (not (@ (@ tptp.bit_se1146084159140164899it_int K) N2)))))
% 14.05/14.29 (assume a9580 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (forall ((M6 tptp.nat)) (=> (@ (@ tptp.ord_less_nat M6) N2) (@ P M6))) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)) (@ P X2))))))
% 14.05/14.29 (assume a9581 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool))) (= (exists ((M6 tptp.nat)) (and (@ (@ tptp.ord_less_nat M6) N2) (@ P M6))) (exists ((X2 tptp.nat)) (and (@ (@ tptp.member_nat X2) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)) (@ P X2))))))
% 14.05/14.29 (assume a9582 (forall ((L2 tptp.nat) (U tptp.nat)) (= (@ (@ tptp.set_or4665077453230672383an_nat L2) (@ tptp.suc U)) (@ (@ tptp.set_or1269000886237332187st_nat L2) U))))
% 14.05/14.29 (assume a9583 (= tptp.bit_se1409905431419307370or_int (lambda ((K3 tptp.int) (L tptp.int)) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.bit_ri7919022796975470100ot_int K3)) (@ tptp.bit_ri7919022796975470100ot_int L))))))
% 14.05/14.29 (assume a9584 (= tptp.bit_ri7919022796975470100ot_int (lambda ((K3 tptp.int)) (@ (@ tptp.minus_minus_int (@ tptp.uminus_uminus_int K3)) tptp.one_one_int))))
% 14.05/14.29 (assume a9585 (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) tptp.zero_zero_int))
% 14.05/14.29 (assume a9586 (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (@ tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int)))
% 14.05/14.29 (assume a9587 (forall ((N2 tptp.nat)) (= (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.suc N2)) (@ (@ tptp.insert_nat N2) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.29 (assume a9588 (= tptp.bit_se4203085406695923979it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.bit_se725231765392027082nd_int K3) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.bit_se545348938243370406it_int N) tptp.one_one_int))))))
% 14.05/14.29 (assume a9589 (= tptp.bit_se6526347334894502574or_int (lambda ((K3 tptp.int) (L tptp.int)) (@ (@ tptp.bit_se1409905431419307370or_int (@ (@ tptp.bit_se725231765392027082nd_int K3) (@ tptp.bit_ri7919022796975470100ot_int L))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.bit_ri7919022796975470100ot_int K3)) L)))))
% 14.05/14.29 (assume a9590 (forall ((K tptp.int)) (= (@ (@ tptp.divide_divide_int (@ tptp.bit_ri7919022796975470100ot_int K)) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.divide_divide_int K) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9591 (forall ((K tptp.int)) (= (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_ri7919022796975470100ot_int K)) (not (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K)))))
% 14.05/14.29 (assume a9592 (forall ((M tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 M)))))
% 14.05/14.29 (assume a9593 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) tptp.one_one_int)))
% 14.05/14.29 (assume a9594 (forall ((M tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int))))
% 14.05/14.29 (assume a9595 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))))))
% 14.05/14.29 (assume a9596 (forall ((K tptp.int) (N2 tptp.nat)) (= (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.uminus_uminus_int K)) N2) (@ (@ tptp.bit_se1146084159140164899it_int (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.minus_minus_int K) tptp.one_one_int))) N2))))
% 14.05/14.29 (assume a9597 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg M) N2))))))
% 14.05/14.29 (assume a9598 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg N2) M))))))
% 14.05/14.29 (assume a9599 (forall ((M tptp.num) (N2 tptp.num)) (= (@ tptp.numeral_numeral_int (@ (@ tptp.bit_or_not_num_neg M) N2)) (@ tptp.uminus_uminus_int (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2)))))))
% 14.05/14.29 (assume a9600 (forall ((M tptp.nat) (N2 tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ (@ tptp.set_or4665077453230672383an_nat M) (@ tptp.suc N2)) (@ (@ tptp.insert_nat N2) (@ (@ tptp.set_or4665077453230672383an_nat M) N2)))) (=> (not (@ (@ tptp.ord_less_eq_nat M) N2)) (= (@ (@ tptp.set_or4665077453230672383an_nat M) (@ tptp.suc N2)) tptp.bot_bot_set_nat)))))
% 14.05/14.29 (assume a9601 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat tptp.suc) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a9602 (forall ((N2 tptp.nat)) (= (@ (@ tptp.groups708209901874060359at_nat tptp.suc) (@ (@ tptp.set_or4665077453230672383an_nat (@ tptp.suc tptp.zero_zero_nat)) N2)) (@ tptp.semiri1408675320244567234ct_nat N2))))
% 14.05/14.29 (assume a9603 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2)))))))
% 14.05/14.29 (assume a9604 (forall ((M tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (@ tptp.numeral_numeral_int (@ tptp.bit0 M)))))
% 14.05/14.29 (assume a9605 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int tptp.one_one_int) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2))))))
% 14.05/14.29 (assume a9606 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int tptp.one_one_int) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) tptp.zero_zero_int)))
% 14.05/14.29 (assume a9607 (forall ((M tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (@ tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int))))
% 14.05/14.29 (assume a9608 (forall ((M tptp.nat) (K tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_nat M) (@ tptp.pred_numeral K)) (= (@ (@ tptp.set_or4665077453230672383an_nat M) (@ tptp.numeral_numeral_nat K)) (@ (@ tptp.insert_nat (@ tptp.pred_numeral K)) (@ (@ tptp.set_or4665077453230672383an_nat M) (@ tptp.pred_numeral K))))) (=> (not (@ (@ tptp.ord_less_eq_nat M) (@ tptp.pred_numeral K))) (= (@ (@ tptp.set_or4665077453230672383an_nat M) (@ tptp.numeral_numeral_nat K)) tptp.bot_bot_set_nat)))))
% 14.05/14.29 (assume a9609 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2)))))))
% 14.05/14.29 (assume a9610 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2)))))))
% 14.05/14.29 (assume a9611 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2)))))))
% 14.05/14.29 (assume a9612 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit0 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))))))))
% 14.05/14.29 (assume a9613 (forall ((N2 tptp.nat)) (= (@ (@ tptp.set_or4665077453230672383an_nat (@ tptp.suc tptp.zero_zero_nat)) N2) (@ (@ tptp.minus_minus_set_nat (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat)))))
% 14.05/14.29 (assume a9614 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))))))))
% 14.05/14.29 (assume a9615 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))))))))
% 14.05/14.29 (assume a9616 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int (@ tptp.bit1 M))) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ (@ tptp.plus_plus_int tptp.one_one_int) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.bit_se1409905431419307370or_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))))))))
% 14.05/14.29 (assume a9617 (= tptp.bit_ri7919022796975470100ot_int (lambda ((K3 tptp.int)) (@ (@ tptp.plus_plus_int (@ tptp.zero_n2684676970156552555ol_int (@ (@ tptp.dvd_dvd_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) K3))) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9618 (forall ((N2 tptp.nat) (A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat))) (=> (forall ((I4 tptp.nat) (J2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I4) J2) (=> (@ (@ tptp.ord_less_nat J2) N2) (@ (@ tptp.ord_less_eq_nat (@ A I4)) (@ A J2))))) (=> (forall ((I4 tptp.nat) (J2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I4) J2) (=> (@ (@ tptp.ord_less_nat J2) N2) (@ (@ tptp.ord_less_eq_nat (@ B J2)) (@ B I4))))) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat N2) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_nat (@ A I5)) (@ B I5)))) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)))) (@ (@ tptp.times_times_nat (@ (@ tptp.groups3542108847815614940at_nat A) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2))) (@ (@ tptp.groups3542108847815614940at_nat B) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2))))))))
% 14.05/14.29 (assume a9619 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (@ tptp.vEBT_size_VEBT (@ (@ (@ (@ tptp.vEBT_Node X11) X12) X13) X14)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.size_list_VEBT_VEBT tptp.vEBT_size_VEBT) X13)) (@ tptp.vEBT_size_VEBT X14))) (@ tptp.suc tptp.zero_zero_nat)))))
% 14.05/14.29 (assume a9620 (forall ((X21 Bool) (X222 Bool)) (= (@ tptp.vEBT_size_VEBT (@ (@ tptp.vEBT_Leaf X21) X222)) tptp.zero_zero_nat)))
% 14.05/14.29 (assume a9621 (= tptp.vEBT_VEBT_valid tptp.vEBT_invar_vebt))
% 14.05/14.29 (assume a9622 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (@ (@ tptp.vEBT_invar_vebt T) D) (@ (@ tptp.vEBT_VEBT_valid T) D))))
% 14.05/14.29 (assume a9623 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (@ (@ tptp.vEBT_VEBT_valid T) D) (@ (@ tptp.vEBT_invar_vebt T) D))))
% 14.05/14.29 (assume a9624 (forall ((Uu Bool) (Uv Bool) (D tptp.nat)) (= (@ (@ tptp.vEBT_VEBT_valid (@ (@ tptp.vEBT_Leaf Uu) Uv)) D) (= D tptp.one_one_nat))))
% 14.05/14.29 (assume a9625 (forall ((Z tptp.complex)) (= (@ tptp.re (@ tptp.csqrt Z)) (@ tptp.sqrt (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.re Z))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9626 (= tptp.unique4921790084139445826nteger (lambda ((L tptp.num) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ tptp.produc6916734918728496179nteger (lambda ((Q4 tptp.code_integer) (R4 tptp.code_integer)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le3102999989581377725nteger (@ tptp.numera6620942414471956472nteger L)) R4)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q4)) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger R4) (@ tptp.numera6620942414471956472nteger L)))) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q4)) R4)))) __flatten_var_0))))
% 14.05/14.29 (assume a9627 (forall ((V tptp.num)) (= (@ tptp.re (@ tptp.numera6690914467698888265omplex V)) (@ tptp.numeral_numeral_real V))))
% 14.05/14.29 (assume a9628 (forall ((Z tptp.complex) (N2 tptp.nat)) (= (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex Z) (@ tptp.semiri8010041392384452111omplex N2))) (@ (@ tptp.divide_divide_real (@ tptp.re Z)) (@ tptp.semiri5074537144036343181t_real N2)))))
% 14.05/14.29 (assume a9629 (forall ((Z tptp.complex) (R tptp.real)) (= (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex Z) (@ tptp.real_V4546457046886955230omplex R))) (@ (@ tptp.divide_divide_real (@ tptp.re Z)) R))))
% 14.05/14.29 (assume a9630 (forall ((Z tptp.complex)) (= (@ tptp.re (@ tptp.sgn_sgn_complex Z)) (@ (@ tptp.divide_divide_real (@ tptp.re Z)) (@ tptp.real_V1022390504157884413omplex Z)))))
% 14.05/14.29 (assume a9631 (forall ((Z tptp.complex) (W tptp.num)) (= (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex Z) (@ tptp.numera6690914467698888265omplex W))) (@ (@ tptp.divide_divide_real (@ tptp.re Z)) (@ tptp.numeral_numeral_real W)))))
% 14.05/14.29 (assume a9632 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.re X)) (@ tptp.real_V1022390504157884413omplex X))))
% 14.05/14.29 (assume a9633 (= (@ tptp.re tptp.one_one_complex) tptp.one_one_real))
% 14.05/14.29 (assume a9634 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.re (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.plus_plus_real (@ tptp.re X)) (@ tptp.re Y)))))
% 14.05/14.29 (assume a9635 (forall ((R tptp.real) (X tptp.complex)) (= (@ tptp.re (@ (@ tptp.real_V2046097035970521341omplex R) X)) (@ (@ tptp.times_times_real R) (@ tptp.re X)))))
% 14.05/14.29 (assume a9636 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.re X))) (@ tptp.real_V1022390504157884413omplex X))))
% 14.05/14.29 (assume a9637 (forall ((Z tptp.complex)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.re (@ tptp.csqrt Z)))))
% 14.05/14.29 (assume a9638 (= tptp.one_one_nat tptp.one_one_nat))
% 14.05/14.29 (assume a9639 (forall ((Z tptp.complex)) (= (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.re Z))) tptp.zero_zero_real) (= (@ tptp.re Z) (@ tptp.uminus_uminus_real (@ tptp.real_V1022390504157884413omplex Z))))))
% 14.05/14.29 (assume a9640 (forall ((N2 tptp.nat) (A tptp.real)) (= (@ tptp.cos_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) A)) (@ tptp.re (@ (@ tptp.power_power_complex (@ tptp.cis A)) N2)))))
% 14.05/14.29 (assume a9641 (= tptp.csqrt (lambda ((Z5 tptp.complex)) (@ (@ tptp.complex2 (@ tptp.sqrt (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ tptp.real_V1022390504157884413omplex Z5)) (@ tptp.re Z5))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ (@ tptp.times_times_real (@ (@ (@ tptp.if_real (= (@ tptp.im Z5) tptp.zero_zero_real)) tptp.one_one_real) (@ tptp.sgn_sgn_real (@ tptp.im Z5)))) (@ tptp.sqrt (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1022390504157884413omplex Z5)) (@ tptp.re Z5))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9642 (forall ((Z tptp.complex)) (= (@ tptp.im (@ tptp.csqrt Z)) (@ (@ tptp.times_times_real (@ (@ (@ tptp.if_real (= (@ tptp.im Z) tptp.zero_zero_real)) tptp.one_one_real) (@ tptp.sgn_sgn_real (@ tptp.im Z)))) (@ tptp.sqrt (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.re Z))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9643 (= tptp.code_integer_of_int (lambda ((K3 tptp.int)) (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_less_int K3) tptp.zero_zero_int)) (@ tptp.uminus1351360451143612070nteger (@ tptp.code_integer_of_int (@ tptp.uminus_uminus_int K3)))) (@ (@ (@ tptp.if_Code_integer (= K3 tptp.zero_zero_int)) tptp.zero_z3403309356797280102nteger) (@ (@ (@ tptp.if_Code_integer (= (@ (@ tptp.modulo_modulo_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) tptp.zero_zero_int)) (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.code_integer_of_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) (@ tptp.code_integer_of_int (@ (@ tptp.divide_divide_int K3) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one)))))) tptp.one_one_Code_integer)))))))
% 14.05/14.29 (assume a9644 (forall ((Z tptp.complex) (R tptp.real)) (= (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex Z) (@ tptp.real_V4546457046886955230omplex R))) (@ (@ tptp.divide_divide_real (@ tptp.im Z)) R))))
% 14.05/14.29 (assume a9645 (forall ((Z tptp.complex)) (= (@ tptp.im (@ tptp.sgn_sgn_complex Z)) (@ (@ tptp.divide_divide_real (@ tptp.im Z)) (@ tptp.real_V1022390504157884413omplex Z)))))
% 14.05/14.29 (assume a9646 (forall ((X tptp.complex) (N2 tptp.nat)) (=> (= (@ tptp.im X) tptp.zero_zero_real) (= (@ tptp.re (@ (@ tptp.power_power_complex X) N2)) (@ (@ tptp.power_power_real (@ tptp.re X)) N2)))))
% 14.05/14.29 (assume a9647 (forall ((Z tptp.complex) (W tptp.num)) (= (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex Z) (@ tptp.numera6690914467698888265omplex W))) (@ (@ tptp.divide_divide_real (@ tptp.im Z)) (@ tptp.numeral_numeral_real W)))))
% 14.05/14.29 (assume a9648 (forall ((Z tptp.complex) (N2 tptp.nat)) (= (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex Z) (@ tptp.semiri8010041392384452111omplex N2))) (@ (@ tptp.divide_divide_real (@ tptp.im Z)) (@ tptp.semiri5074537144036343181t_real N2)))))
% 14.05/14.29 (assume a9649 (forall ((X tptp.complex)) (=> (= (@ tptp.im X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.re X)) (= (@ tptp.csqrt X) (@ tptp.real_V4546457046886955230omplex (@ tptp.sqrt (@ tptp.re X))))))))
% 14.05/14.29 (assume a9650 (forall ((X tptp.complex)) (=> (or (@ (@ tptp.ord_less_real (@ tptp.im X)) tptp.zero_zero_real) (and (= (@ tptp.im X) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.re X)))) (= (@ tptp.csqrt (@ tptp.uminus1482373934393186551omplex X)) (@ (@ tptp.times_times_complex tptp.imaginary_unit) (@ tptp.csqrt X))))))
% 14.05/14.29 (assume a9651 (forall ((X tptp.complex)) (=> (= (@ tptp.im X) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.re X)) tptp.zero_zero_real) (= (@ tptp.csqrt X) (@ (@ tptp.times_times_complex tptp.imaginary_unit) (@ tptp.real_V4546457046886955230omplex (@ tptp.sqrt (@ tptp.abs_abs_real (@ tptp.re X))))))))))
% 14.05/14.29 (assume a9652 (= (@ tptp.im tptp.imaginary_unit) tptp.one_one_real))
% 14.05/14.29 (assume a9653 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.im (@ (@ tptp.plus_plus_complex X) Y)) (@ (@ tptp.plus_plus_real (@ tptp.im X)) (@ tptp.im Y)))))
% 14.05/14.29 (assume a9654 (forall ((R tptp.real) (X tptp.complex)) (= (@ tptp.im (@ (@ tptp.real_V2046097035970521341omplex R) X)) (@ (@ tptp.times_times_real R) (@ tptp.im X)))))
% 14.05/14.29 (assume a9655 (forall ((X tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.im X))) (@ tptp.real_V1022390504157884413omplex X))))
% 14.05/14.29 (assume a9656 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.im (@ (@ tptp.times_times_complex X) Y)) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.re X)) (@ tptp.im Y))) (@ (@ tptp.times_times_real (@ tptp.im X)) (@ tptp.re Y))))))
% 14.05/14.29 (assume a9657 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (@ tptp.re X) (@ tptp.re Y)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.im X))) (@ tptp.abs_abs_real (@ tptp.im Y)))))))
% 14.05/14.29 (assume a9658 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (@ tptp.im X) (@ tptp.im Y)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex X)) (@ tptp.real_V1022390504157884413omplex Y)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ tptp.re X))) (@ tptp.abs_abs_real (@ tptp.re Y)))))))
% 14.05/14.29 (assume a9659 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.re (@ (@ tptp.times_times_complex X) Y)) (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.re X)) (@ tptp.re Y))) (@ (@ tptp.times_times_real (@ tptp.im X)) (@ tptp.im Y))))))
% 14.05/14.29 (assume a9660 (= tptp.plus_plus_complex (lambda ((X2 tptp.complex) (Y3 tptp.complex)) (@ (@ tptp.complex2 (@ (@ tptp.plus_plus_real (@ tptp.re X2)) (@ tptp.re Y3))) (@ (@ tptp.plus_plus_real (@ tptp.im X2)) (@ tptp.im Y3))))))
% 14.05/14.29 (assume a9661 (= tptp.real_V2046097035970521341omplex (lambda ((R4 tptp.real) (X2 tptp.complex)) (@ (@ tptp.complex2 (@ (@ tptp.times_times_real R4) (@ tptp.re X2))) (@ (@ tptp.times_times_real R4) (@ tptp.im X2))))))
% 14.05/14.29 (assume a9662 (forall ((Z tptp.complex)) (or (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re (@ tptp.csqrt Z))) (and (= (@ tptp.re (@ tptp.csqrt Z)) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.im (@ tptp.csqrt Z)))))))
% 14.05/14.29 (assume a9663 (forall ((Z tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ tptp.real_V1022390504157884413omplex Z)) (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real (@ tptp.re Z))) (@ tptp.abs_abs_real (@ tptp.im Z))))))
% 14.05/14.29 (assume a9664 (forall ((N2 tptp.nat) (A tptp.real)) (= (@ tptp.sin_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) A)) (@ tptp.im (@ (@ tptp.power_power_complex (@ tptp.cis A)) N2)))))
% 14.05/14.29 (assume a9665 (forall ((Z tptp.complex)) (= (@ tptp.re (@ tptp.exp_complex Z)) (@ (@ tptp.times_times_real (@ tptp.exp_real (@ tptp.re Z))) (@ tptp.cos_real (@ tptp.im Z))))))
% 14.05/14.29 (assume a9666 (forall ((Z tptp.complex)) (= (@ tptp.im (@ tptp.exp_complex Z)) (@ (@ tptp.times_times_real (@ tptp.exp_real (@ tptp.re Z))) (@ tptp.sin_real (@ tptp.im Z))))))
% 14.05/14.29 (assume a9667 (= tptp.times_times_complex (lambda ((X2 tptp.complex) (Y3 tptp.complex)) (@ (@ tptp.complex2 (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.re X2)) (@ tptp.re Y3))) (@ (@ tptp.times_times_real (@ tptp.im X2)) (@ tptp.im Y3)))) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.re X2)) (@ tptp.im Y3))) (@ (@ tptp.times_times_real (@ tptp.im X2)) (@ tptp.re Y3)))))))
% 14.05/14.29 (assume a9668 (forall ((Z tptp.complex)) (= (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9669 (forall ((X tptp.complex)) (= (@ tptp.im (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.re X))) (@ tptp.im X)))))
% 14.05/14.29 (assume a9670 (forall ((X tptp.complex)) (= (@ tptp.re (@ (@ tptp.power_power_complex X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real (@ tptp.re X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))
% 14.05/14.29 (assume a9671 (forall ((Z tptp.complex)) (= (= Z tptp.zero_zero_complex) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9672 (= tptp.real_V1022390504157884413omplex (lambda ((Z5 tptp.complex)) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Z5)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Z5)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9673 (forall ((X tptp.complex)) (= (@ tptp.re (@ tptp.invers8013647133539491842omplex X)) (@ (@ tptp.divide_divide_real (@ tptp.re X)) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9674 (forall ((Z tptp.complex)) (= (not (= Z tptp.zero_zero_complex)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9675 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.re X)) (@ tptp.re Y))) (@ (@ tptp.times_times_real (@ tptp.im X)) (@ tptp.im Y)))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9676 (forall ((B tptp.complex)) (=> (or (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re B)) (and (= (@ tptp.re B) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.im B)))) (= (@ tptp.csqrt (@ (@ tptp.power_power_complex B) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) B))))
% 14.05/14.29 (assume a9677 (forall ((W tptp.complex) (Z tptp.complex)) (=> (= (@ (@ tptp.power_power_complex W) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Z) (=> (or (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re W)) (and (= (@ tptp.re W) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.im W)))) (= (@ tptp.csqrt Z) W)))))
% 14.05/14.29 (assume a9678 (forall ((X tptp.complex)) (= (@ tptp.im (@ tptp.invers8013647133539491842omplex X)) (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real (@ tptp.im X))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im X)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9679 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex X) Y)) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.im X)) (@ tptp.re Y))) (@ (@ tptp.times_times_real (@ tptp.re X)) (@ tptp.im Y)))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Y)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9680 (forall ((Z tptp.complex)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.plus_plus_real (@ tptp.abs_abs_real (@ tptp.re Z))) (@ tptp.abs_abs_real (@ tptp.im Z)))) (@ (@ tptp.times_times_real (@ tptp.sqrt (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.real_V1022390504157884413omplex Z)))))
% 14.05/14.29 (assume a9681 (forall ((Z tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real (@ tptp.re Z)) (@ tptp.real_V1022390504157884413omplex Z))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ (@ tptp.divide_divide_real (@ tptp.im Z)) (@ tptp.real_V1022390504157884413omplex Z))) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 14.05/14.29 (assume a9682 (= tptp.invers8013647133539491842omplex (lambda ((X2 tptp.complex)) (@ (@ tptp.complex2 (@ (@ tptp.divide_divide_real (@ tptp.re X2)) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re X2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im X2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real (@ tptp.im X2))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re X2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im X2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9683 (= tptp.divide1717551699836669952omplex (lambda ((X2 tptp.complex) (Y3 tptp.complex)) (@ (@ tptp.complex2 (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real (@ tptp.re X2)) (@ tptp.re Y3))) (@ (@ tptp.times_times_real (@ tptp.im X2)) (@ tptp.im Y3)))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Y3)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Y3)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ (@ tptp.times_times_real (@ tptp.im X2)) (@ tptp.re Y3))) (@ (@ tptp.times_times_real (@ tptp.re X2)) (@ tptp.im Y3)))) (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Y3)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Y3)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9684 (forall ((R tptp.complex) (Z tptp.complex)) (=> (@ (@ tptp.member_complex R) tptp.real_V2521375963428798218omplex) (= (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex R) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.re R))) (@ tptp.im Z))) (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9685 (forall ((R tptp.complex) (Z tptp.complex)) (=> (@ (@ tptp.member_complex R) tptp.real_V2521375963428798218omplex) (= (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex R) Z)) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real (@ tptp.re R)) (@ tptp.re Z))) (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9686 (forall ((R tptp.complex) (Z tptp.complex)) (=> (@ (@ tptp.member_complex R) tptp.real_V2521375963428798218omplex) (= (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex Z) R)) (@ (@ tptp.divide_divide_real (@ tptp.re Z)) (@ tptp.re R))))))
% 14.05/14.29 (assume a9687 (forall ((R tptp.complex) (Z tptp.complex)) (=> (@ (@ tptp.member_complex R) tptp.real_V2521375963428798218omplex) (= (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex Z) R)) (@ (@ tptp.divide_divide_real (@ tptp.im Z)) (@ tptp.re R))))))
% 14.05/14.29 (assume a9688 (forall ((Z tptp.complex)) (= (@ (@ tptp.times_times_complex Z) (@ tptp.cnj Z)) (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real (@ tptp.re Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.power_power_real (@ tptp.im Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9689 (= tptp.code_num_of_integer (lambda ((K3 tptp.code_integer)) (@ (@ (@ tptp.if_num (@ (@ tptp.ord_le3102999989581377725nteger K3) tptp.one_one_Code_integer)) tptp.one) (@ (@ tptp.produc7336495610019696514er_num (lambda ((L tptp.code_integer) (J3 tptp.code_integer)) (@ (@ (@ tptp.if_num (= J3 tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.plus_plus_num (@ tptp.code_num_of_integer L)) (@ tptp.code_num_of_integer L))) (@ (@ tptp.plus_plus_num (@ (@ tptp.plus_plus_num (@ tptp.code_num_of_integer L)) (@ tptp.code_num_of_integer L))) tptp.one)))) (@ (@ tptp.code_divmod_integer K3) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9690 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex A) B))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))))))
% 14.05/14.29 (assume a9691 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_real (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.re (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9692 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex A) B))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.re (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))))))
% 14.05/14.29 (assume a9693 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ tptp.re (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9694 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex A) B))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.im (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))))))
% 14.05/14.29 (assume a9695 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_real (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real) (@ (@ tptp.ord_less_real (@ tptp.im (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9696 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex A) B))) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ tptp.im (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))))))
% 14.05/14.29 (assume a9697 (forall ((A tptp.complex) (B tptp.complex)) (= (@ (@ tptp.ord_less_eq_real (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real) (@ (@ tptp.ord_less_eq_real (@ tptp.im (@ (@ tptp.times_times_complex A) (@ tptp.cnj B)))) tptp.zero_zero_real))))
% 14.05/14.29 (assume a9698 (forall ((Z tptp.complex)) (= (@ tptp.real_V1022390504157884413omplex (@ (@ tptp.times_times_complex Z) (@ tptp.cnj Z))) (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 14.05/14.29 (assume a9699 (forall ((A tptp.complex) (B tptp.complex)) (and (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re (@ (@ tptp.divide1717551699836669952omplex A) B))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.re (@ (@ tptp.times_times_complex A) (@ tptp.cnj B))))) (= (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.im (@ (@ tptp.divide1717551699836669952omplex A) B))) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.im (@ (@ tptp.times_times_complex A) (@ tptp.cnj B))))))))
% 14.05/14.29 (assume a9700 (forall ((Z tptp.complex)) (= (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex Z)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.times_times_complex Z) (@ tptp.cnj Z)))))
% 14.05/14.29 (assume a9701 (forall ((Z tptp.complex)) (= (@ (@ tptp.plus_plus_complex Z) (@ tptp.cnj Z)) (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.re Z))))))
% 14.05/14.29 (assume a9702 (forall ((Z tptp.complex)) (= (@ (@ tptp.minus_minus_complex Z) (@ tptp.cnj Z)) (@ (@ tptp.times_times_complex (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.im Z)))) tptp.imaginary_unit))))
% 14.05/14.29 (assume a9703 (= tptp.divide1717551699836669952omplex (lambda ((A4 tptp.complex) (B4 tptp.complex)) (@ (@ tptp.divide1717551699836669952omplex (@ (@ tptp.times_times_complex A4) (@ tptp.cnj B4))) (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.power_power_real (@ tptp.real_V1022390504157884413omplex B4)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9704 (forall ((Z tptp.complex) (W tptp.complex)) (= (@ (@ tptp.plus_plus_complex (@ (@ tptp.times_times_complex Z) (@ tptp.cnj W))) (@ (@ tptp.times_times_complex (@ tptp.cnj Z)) W)) (@ tptp.real_V4546457046886955230omplex (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) (@ tptp.re (@ (@ tptp.times_times_complex Z) (@ tptp.cnj W))))))))
% 14.05/14.29 (assume a9705 (= tptp.code_nat_of_integer (lambda ((K3 tptp.code_integer)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_le3102999989581377725nteger K3) tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_nat) (@ (@ tptp.produc1555791787009142072er_nat (lambda ((L tptp.code_integer) (J3 tptp.code_integer)) (@ (@ (@ tptp.if_nat (= J3 tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.plus_plus_nat (@ tptp.code_nat_of_integer L)) (@ tptp.code_nat_of_integer L))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.plus_plus_nat (@ tptp.code_nat_of_integer L)) (@ tptp.code_nat_of_integer L))) tptp.one_one_nat)))) (@ (@ tptp.code_divmod_integer K3) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 14.05/14.29 (assume a9706 (= tptp.code_int_of_integer (lambda ((K3 tptp.code_integer)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_le6747313008572928689nteger K3) tptp.zero_z3403309356797280102nteger)) (@ tptp.uminus_uminus_int (@ tptp.code_int_of_integer (@ tptp.uminus1351360451143612070nteger K3)))) (@ (@ (@ tptp.if_int (= K3 tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_int) (@ (@ tptp.produc1553301316500091796er_int (lambda ((L tptp.code_integer) (J3 tptp.code_integer)) (@ (@ (@ tptp.if_int (= J3 tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.code_int_of_integer L))) (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.code_int_of_integer L))) tptp.one_one_int)))) (@ (@ tptp.code_divmod_integer K3) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))))
% 14.05/14.29 (assume a9707 (forall ((N2 tptp.nat)) (= (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.ord_less_nat I5) N2)))) N2)))
% 14.05/14.29 (assume a9708 (forall ((U tptp.nat)) (= (@ tptp.finite_card_nat (@ tptp.set_ord_atMost_nat U)) (@ tptp.suc U))))
% 14.05/14.29 (assume a9709 (forall ((N2 tptp.nat)) (= (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.ord_less_eq_nat I5) N2)))) (@ tptp.suc N2))))
% 14.05/14.29 (assume a9710 (forall ((K tptp.code_integer)) (= (@ tptp.semiri4939895301339042750nteger (@ tptp.code_nat_of_integer K)) (@ (@ tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger) K))))
% 14.05/14.29 (assume a9711 (forall ((K tptp.code_integer) (L2 tptp.code_integer)) (= (@ tptp.code_int_of_integer (@ (@ tptp.ord_max_Code_integer K) L2)) (@ (@ tptp.ord_max_int (@ tptp.code_int_of_integer K)) (@ tptp.code_int_of_integer L2)))))
% 14.05/14.29 (assume a9712 (forall ((L2 tptp.nat) (U tptp.nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.set_or1269000886237332187st_nat L2) U)) (@ (@ tptp.minus_minus_nat (@ tptp.suc U)) L2))))
% 14.05/14.29 (assume a9713 (forall ((M7 tptp.set_nat) (I2 tptp.nat)) (=> (not (@ (@ tptp.member_nat tptp.zero_zero_nat) M7)) (= (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (and (@ (@ tptp.member_nat (@ tptp.suc K3)) M7) (@ (@ tptp.ord_less_nat K3) I2))))) (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (and (@ (@ tptp.member_nat K3) M7) (@ (@ tptp.ord_less_nat K3) (@ tptp.suc I2))))))))))
% 14.05/14.29 (assume a9714 (forall ((M7 tptp.set_nat) (I2 tptp.nat)) (=> (@ (@ tptp.member_nat tptp.zero_zero_nat) M7) (= (@ tptp.suc (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (and (@ (@ tptp.member_nat (@ tptp.suc K3)) M7) (@ (@ tptp.ord_less_nat K3) I2)))))) (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (and (@ (@ tptp.member_nat K3) M7) (@ (@ tptp.ord_less_nat K3) (@ tptp.suc I2))))))))))
% 14.05/14.29 (assume a9715 (forall ((M7 tptp.set_nat) (I2 tptp.nat)) (=> (@ (@ tptp.member_nat tptp.zero_zero_nat) M7) (not (= (@ tptp.finite_card_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (and (@ (@ tptp.member_nat K3) M7) (@ (@ tptp.ord_less_nat K3) (@ tptp.suc I2)))))) tptp.zero_zero_nat)))))
% 14.05/14.29 (assume a9716 (forall ((A2 tptp.set_nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A2) (@ (@ tptp.set_or4665077453230672383an_nat K) (@ (@ tptp.plus_plus_nat K) (@ tptp.finite_card_nat A2)))) (= A2 (@ (@ tptp.set_or4665077453230672383an_nat K) (@ (@ tptp.plus_plus_nat K) (@ tptp.finite_card_nat A2)))))))
% 14.05/14.29 (assume a9717 (forall ((K tptp.num)) (= (@ tptp.code_nat_of_integer (@ tptp.numera6620942414471956472nteger K)) (@ tptp.numeral_numeral_nat K))))
% 14.05/14.29 (assume a9718 (= (@ tptp.code_nat_of_integer tptp.one_one_Code_integer) tptp.one_one_nat))
% 14.05/14.29 (assume a9719 (forall ((N3 tptp.set_nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat N3) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat N3)) N2))))
% 14.05/14.29 (assume a9720 (forall ((S tptp.set_nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.finite_card_nat S)))) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) X2)) S))))
% 14.05/14.29 (assume a9721 (forall ((C tptp.complex) (N2 tptp.nat)) (=> (not (= C tptp.zero_zero_complex)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.finite_card_complex (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) C)))) N2)))))
% 14.05/14.29 (assume a9722 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.finite_card_complex (@ tptp.collect_complex (lambda ((Z5 tptp.complex)) (= (@ (@ tptp.power_power_complex Z5) N2) tptp.one_one_complex)))) N2))))
% 14.05/14.29 (assume a9723 (= tptp.archim6058952711729229775r_real (lambda ((X2 tptp.real)) (@ tptp.the_int (lambda ((Z5 tptp.int)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.ring_1_of_int_real Z5)) X2) (@ (@ tptp.ord_less_real X2) (@ tptp.ring_1_of_int_real (@ (@ tptp.plus_plus_int Z5) tptp.one_one_int)))))))))
% 14.05/14.29 (assume a9724 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se8568078237143864401it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))) (@ (@ tptp.bit_se8568078237143864401it_int (@ tptp.pred_numeral L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc K)))))))
% 14.05/14.29 (assume a9725 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) (@ (@ tptp.bit_se8568078237143864401it_int N2) K)) (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) K))))
% 14.05/14.29 (assume a9726 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.ord_less_int (@ (@ tptp.bit_se8568078237143864401it_int N2) K)) tptp.zero_zero_int) (@ (@ tptp.ord_less_int K) tptp.zero_zero_int))))
% 14.05/14.29 (assume a9727 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se8568078237143864401it_int N2) (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.uminus_uminus_int tptp.one_one_int))))
% 14.05/14.29 (assume a9728 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se8568078237143864401it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))) (@ (@ tptp.bit_se8568078237143864401it_int N2) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))))))
% 14.05/14.29 (assume a9729 (forall ((L2 tptp.num) (K tptp.num)) (= (@ (@ tptp.bit_se8568078237143864401it_int (@ tptp.numeral_numeral_nat L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 K)))) (@ (@ tptp.bit_se8568078237143864401it_int (@ tptp.pred_numeral L2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int K))))))
% 14.05/14.29 (assume a9730 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.bit_se8568078237143864401it_int (@ tptp.suc N2)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 K)))) (@ (@ tptp.bit_se8568078237143864401it_int N2) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.inc K)))))))
% 14.05/14.29 (assume a9731 (forall ((Nat tptp.nat)) (= (= Nat tptp.zero_zero_nat) (@ (@ (@ tptp.case_nat_o true) (lambda ((Uu3 tptp.nat)) false)) Nat))))
% 14.05/14.29 (assume a9732 (forall ((Nat tptp.nat)) (= (not (= Nat tptp.zero_zero_nat)) (@ (@ (@ tptp.case_nat_o false) (lambda ((Uu3 tptp.nat)) true)) Nat))))
% 14.05/14.29 (assume a9733 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_se8568078237143864401it_int M) (@ (@ tptp.bit_se545348938243370406it_int N2) K)) (@ (@ tptp.bit_se8568078237143864401it_int (@ (@ tptp.minus_minus_nat M) N2)) (@ (@ tptp.bit_se545348938243370406it_int (@ (@ tptp.minus_minus_nat N2) M)) K)))))
% 14.05/14.29 (assume a9734 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.suc M)) N2) (@ (@ (@ tptp.case_nat_o false) (@ tptp.ord_less_eq_nat M)) N2))))
% 14.05/14.29 (assume a9735 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_max_nat M) (@ tptp.suc N2)) (@ (@ (@ tptp.case_nat_nat (@ tptp.suc N2)) (lambda ((M3 tptp.nat)) (@ tptp.suc (@ (@ tptp.ord_max_nat M3) N2)))) M))))
% 14.05/14.29 (assume a9736 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.ord_max_nat (@ tptp.suc N2)) M) (@ (@ (@ tptp.case_nat_nat (@ tptp.suc N2)) (lambda ((M3 tptp.nat)) (@ tptp.suc (@ (@ tptp.ord_max_nat N2) M3)))) M))))
% 14.05/14.29 (assume a9737 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.minus_minus_nat M) (@ tptp.suc N2)) (@ (@ (@ tptp.case_nat_nat tptp.zero_zero_nat) (lambda ((K3 tptp.nat)) K3)) (@ (@ tptp.minus_minus_nat M) N2)))))
% 14.05/14.29 (assume a9738 (= tptp.bit_se8568078237143864401it_int (lambda ((N tptp.nat) (K3 tptp.int)) (@ (@ tptp.divide_divide_int K3) (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) N)))))
% 14.05/14.29 (assume a9739 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_se8570568707652914677it_nat N2) (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.zero_n2687167440665602831ol_nat (= N2 tptp.zero_zero_nat)))))
% 14.05/14.29 (assume a9740 (forall ((N2 tptp.nat) (K tptp.int)) (= (@ (@ tptp.bit_se8570568707652914677it_nat N2) (@ tptp.nat2 K)) (@ tptp.nat2 (@ (@ tptp.bit_se8568078237143864401it_int N2) K)))))
% 14.05/14.29 (assume a9741 (= tptp.pred (@ (@ tptp.case_nat_nat tptp.zero_zero_nat) (lambda ((X24 tptp.nat)) X24))))
% 14.05/14.29 (assume a9742 (= tptp.bit_se8570568707652914677it_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ (@ tptp.divide_divide_nat M6) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)))))
% 14.05/14.29 (assume a9743 (forall ((K tptp.num)) (= (@ (@ tptp.modulo_modulo_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat K)) (@ tptp.product_snd_nat_nat (@ (@ tptp.unique5055182867167087721od_nat tptp.one) K)))))
% 14.05/14.29 (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.ord_less_eq_nat Xa2) X) (= Y (@ (@ tptp.product_Pair_nat_nat Xa2) (@ (@ tptp.minus_minus_nat X) Xa2)))) (=> (not (@ (@ tptp.ord_less_eq_nat Xa2) X)) (= Y (@ (@ tptp.nat_prod_decode_aux (@ tptp.suc X)) (@ (@ tptp.minus_minus_nat Xa2) (@ tptp.suc X)))))))))
% 14.05/14.29 (assume a9745 (= tptp.nat_prod_decode_aux (lambda ((K3 tptp.nat) (M6 tptp.nat)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (@ (@ tptp.ord_less_eq_nat M6) K3)) (@ (@ tptp.product_Pair_nat_nat M6) (@ (@ tptp.minus_minus_nat K3) M6))) (@ (@ tptp.nat_prod_decode_aux (@ tptp.suc K3)) (@ (@ tptp.minus_minus_nat M6) (@ tptp.suc K3)))))))
% 14.05/14.29 (assume a9746 (forall ((K tptp.num)) (= (@ (@ tptp.divide_divide_nat (@ tptp.suc tptp.zero_zero_nat)) (@ tptp.numeral_numeral_nat K)) (@ tptp.product_fst_nat_nat (@ (@ tptp.unique5055182867167087721od_nat tptp.one) K)))))
% 14.05/14.29 (assume a9747 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (@ tptp.vEBT_vebt_maxt X) Y) (=> (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) X) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not B3) (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A3) (= Y tptp.none_nat))))) (not (@ (@ 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.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.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2)) (=> (= Y (@ tptp.some_nat Ma2)) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2)))))))))))))
% 14.05/14.29 (assume a9748 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (@ tptp.vEBT_vebt_mint X) Y) (=> (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) X) (=> (forall ((A3 Bool) (B3 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf A3) B3)) (=> (and (=> A3 (= Y (@ tptp.some_nat tptp.zero_zero_nat))) (=> (not A3) (and (=> B3 (= Y (@ tptp.some_nat tptp.one_one_nat))) (=> (not B3) (= Y tptp.none_nat))))) (not (@ (@ 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.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.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2)) (=> (= Y (@ tptp.some_nat Mi2)) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat (@ (@ tptp.product_Pair_nat_nat Mi2) Ma2))) Ux2) Uy2) Uz2)))))))))))))
% 14.05/14.29 (assume a9749 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.product_fst_nat_nat (@ (@ tptp.divmod_nat M) N2)) (@ (@ tptp.divide_divide_nat M) N2))))
% 14.05/14.29 (assume a9750 (forall ((N2 tptp.num)) (= (@ (@ tptp.modulo_modulo_int tptp.one_one_int) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.uminus_uminus_int (@ (@ tptp.adjust_mod (@ tptp.numeral_numeral_int N2)) (@ tptp.product_snd_int_int (@ (@ tptp.unique5052692396658037445od_int tptp.one) N2)))))))
% 14.05/14.29 (assume a9751 (forall ((N2 tptp.num)) (= (@ (@ tptp.modulo_modulo_int (@ tptp.uminus_uminus_int tptp.one_one_int)) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.adjust_mod (@ tptp.numeral_numeral_int N2)) (@ tptp.product_snd_int_int (@ (@ tptp.unique5052692396658037445od_int tptp.one) N2))))))
% 14.05/14.29 (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.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Xa2) (@ (@ tptp.modulo_modulo_nat X) Xa2)))) (@ (@ tptp.minus_minus_int (@ tptp.product_fst_int_int (@ (@ tptp.bezw Xa2) (@ (@ tptp.modulo_modulo_nat X) Xa2)))) (@ (@ tptp.times_times_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Xa2) (@ (@ tptp.modulo_modulo_nat X) Xa2)))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat X) Xa2)))))))))))
% 14.05/14.29 (assume a9753 (= tptp.bezw (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (= Y3 tptp.zero_zero_nat)) (@ (@ tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int)) (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Y3) (@ (@ tptp.modulo_modulo_nat X2) Y3)))) (@ (@ tptp.minus_minus_int (@ tptp.product_fst_int_int (@ (@ tptp.bezw Y3) (@ (@ tptp.modulo_modulo_nat X2) Y3)))) (@ (@ tptp.times_times_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Y3) (@ (@ tptp.modulo_modulo_nat X2) Y3)))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat X2) Y3)))))))))
% 14.05/14.29 (assume a9754 (forall ((Y tptp.nat) (X tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) Y) (= (@ (@ tptp.bezw X) Y) (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Y) (@ (@ tptp.modulo_modulo_nat X) Y)))) (@ (@ tptp.minus_minus_int (@ tptp.product_fst_int_int (@ (@ tptp.bezw Y) (@ (@ tptp.modulo_modulo_nat X) Y)))) (@ (@ tptp.times_times_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Y) (@ (@ tptp.modulo_modulo_nat X) Y)))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat X) Y)))))))))
% 14.05/14.29 (assume a9755 (forall ((X tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (@ (@ tptp.bezw X) Xa2) Y) (=> (@ (@ tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (@ (@ tptp.product_Pair_nat_nat X) Xa2)) (not (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (@ (@ tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Xa2) (@ (@ tptp.modulo_modulo_nat X) Xa2)))) (@ (@ tptp.minus_minus_int (@ tptp.product_fst_int_int (@ (@ tptp.bezw Xa2) (@ (@ tptp.modulo_modulo_nat X) Xa2)))) (@ (@ tptp.times_times_int (@ tptp.product_snd_int_int (@ (@ tptp.bezw Xa2) (@ (@ tptp.modulo_modulo_nat X) Xa2)))) (@ tptp.semiri1314217659103216013at_int (@ (@ tptp.divide_divide_nat X) Xa2)))))))) (not (@ (@ tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (@ (@ tptp.product_Pair_nat_nat X) Xa2)))))))))
% 14.05/14.30 (assume a9756 (forall ((X tptp.vEBT_VEBT) (Y Bool)) (=> (= (@ tptp.vEBT_VEBT_minNull X) Y) (=> (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X) (=> (=> (= X (@ (@ tptp.vEBT_Leaf false) false)) (=> Y (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ tptp.vEBT_Leaf false) false))))) (=> (forall ((Uv2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf true) Uv2)) (=> (not Y) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ tptp.vEBT_Leaf true) Uv2)))))) (=> (forall ((Uu2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uu2) true)) (=> (not Y) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ tptp.vEBT_Leaf Uu2) true)))))) (=> (forall ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Uw2) Ux2) Uy2)) (=> Y (not (@ (@ 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 Y) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat Uz2)) Va3) Vb2) Vc2)))))))))))))))
% 14.05/14.30 (assume a9757 (forall ((X tptp.vEBT_VEBT)) (=> (not (@ tptp.vEBT_VEBT_minNull X)) (=> (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X) (=> (forall ((Uv2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf true) Uv2)) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ tptp.vEBT_Leaf true) Uv2))))) (=> (forall ((Uu2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uu2) true)) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ tptp.vEBT_Leaf Uu2) true))))) (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.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ (@ (@ tptp.vEBT_Node (@ tptp.some_P7363390416028606310at_nat Uz2)) Va3) Vb2) Vc2))))))))))))
% 14.05/14.30 (assume a9758 (forall ((X tptp.vEBT_VEBT)) (=> (@ tptp.vEBT_VEBT_minNull X) (=> (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X) (=> (=> (= X (@ (@ tptp.vEBT_Leaf false) false)) (not (@ (@ tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ tptp.vEBT_Leaf false) false)))) (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.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (@ (@ (@ (@ tptp.vEBT_Node tptp.none_P5556105721700978146at_nat) Uw2) Ux2) Uy2)))))))))))
% 14.05/14.30 (assume a9759 (forall ((X tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (@ (@ tptp.nat_prod_decode_aux X) Xa2) Y) (=> (@ (@ tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (@ (@ tptp.product_Pair_nat_nat X) Xa2)) (not (=> (and (=> (@ (@ tptp.ord_less_eq_nat Xa2) X) (= Y (@ (@ tptp.product_Pair_nat_nat Xa2) (@ (@ tptp.minus_minus_nat X) Xa2)))) (=> (not (@ (@ tptp.ord_less_eq_nat Xa2) X)) (= Y (@ (@ tptp.nat_prod_decode_aux (@ tptp.suc X)) (@ (@ tptp.minus_minus_nat Xa2) (@ tptp.suc X)))))) (not (@ (@ tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (@ (@ tptp.product_Pair_nat_nat X) Xa2)))))))))
% 14.05/14.30 (assume a9760 (= tptp.code_bit_cut_integer (lambda ((K3 tptp.code_integer)) (@ (@ (@ tptp.if_Pro5737122678794959658eger_o (= K3 tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc6677183202524767010eger_o tptp.zero_z3403309356797280102nteger) false)) (@ (@ tptp.produc9125791028180074456eger_o (lambda ((R4 tptp.code_integer) (S6 tptp.code_integer)) (@ (@ tptp.produc6677183202524767010eger_o (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K3)) R4) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger R4)) S6))) (= S6 tptp.one_one_Code_integer)))) (@ (@ tptp.code_divmod_abs K3) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 14.05/14.30 (assume a9761 (= tptp.code_bit_cut_integer (lambda ((K3 tptp.code_integer)) (@ (@ tptp.produc6677183202524767010eger_o (@ (@ tptp.divide6298287555418463151nteger K3) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (not (@ (@ tptp.dvd_dvd_Code_integer (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) K3))))))
% 14.05/14.30 (assume a9762 (forall ((N2 tptp.nat) (P (-> tptp.nat Bool)) (M tptp.nat)) (=> (forall ((K2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) K2) (@ P K2))) (=> (forall ((K2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K2) N2) (=> (forall ((I tptp.nat)) (=> (@ (@ tptp.ord_less_nat K2) I) (@ P I))) (@ P K2)))) (@ P M)))))
% 14.05/14.30 (assume a9763 (forall ((S tptp.set_nat)) (= (not (@ tptp.finite_finite_nat S)) (forall ((M6 tptp.nat)) (exists ((N tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat M6) N) (@ (@ tptp.member_nat N) S)))))))
% 14.05/14.30 (assume a9764 (forall ((K tptp.nat) (S tptp.set_nat)) (=> (forall ((M5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K) M5) (exists ((N9 tptp.nat)) (and (@ (@ tptp.ord_less_nat M5) N9) (@ (@ tptp.member_nat N9) S))))) (not (@ tptp.finite_finite_nat S)))))
% 14.05/14.30 (assume a9765 (forall ((S tptp.set_nat)) (= (not (@ tptp.finite_finite_nat S)) (forall ((M6 tptp.nat)) (exists ((N tptp.nat)) (and (@ (@ tptp.ord_less_nat M6) N) (@ (@ tptp.member_nat N) S)))))))
% 14.05/14.30 (assume a9766 (forall ((S tptp.set_nat)) (=> (@ tptp.finite_finite_nat S) (exists ((R3 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.strict1292158309912662752at_nat R3) (@ tptp.set_ord_lessThan_nat (@ tptp.finite_card_nat S))) (forall ((N9 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N9) (@ tptp.finite_card_nat S)) (@ (@ tptp.member_nat (@ R3 N9)) S))))))))
% 14.05/14.30 (assume a9767 (forall ((K tptp.int) (N2 tptp.num)) (= (@ (@ tptp.bit_se6526347334894502574or_int K) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.bit_se6526347334894502574or_int K) (@ (@ tptp.neg_numeral_sub_int N2) tptp.one))))))
% 14.05/14.30 (assume a9768 (forall ((N2 tptp.num) (K tptp.int)) (= (@ (@ tptp.bit_se6526347334894502574or_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) K) (@ tptp.bit_ri7919022796975470100ot_int (@ (@ tptp.bit_se6526347334894502574or_int (@ (@ tptp.neg_numeral_sub_int N2) tptp.one)) K)))))
% 14.05/14.30 (assume a9769 (forall ((N2 tptp.num)) (= (@ (@ tptp.neg_numeral_sub_int (@ tptp.bitM N2)) tptp.one) (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ (@ tptp.neg_numeral_sub_int N2) tptp.one)))))
% 14.05/14.30 (assume a9770 (forall ((N2 tptp.nat)) (= (@ (@ tptp.compow_nat_nat N2) tptp.suc) (@ tptp.plus_plus_nat N2))))
% 14.05/14.30 (assume a9771 (@ (@ (@ (@ tptp.semila1623282765462674594er_nat tptp.ord_max_nat) tptp.zero_zero_nat) (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat Y3) X2))) (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ tptp.ord_less_nat Y3) X2))))
% 14.05/14.30 (assume a9772 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (@ (@ tptp.times_times_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat X2) U2)) (@ (@ tptp.times_times_nat Y3) V4))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat X2) V4)) (@ (@ tptp.times_times_nat Y3) U2))))) __flatten_var_0))) Xa2) X)))))
% 14.05/14.30 (assume a9773 (forall ((Z tptp.int)) (not (forall ((X5 tptp.nat) (Y5 tptp.nat)) (not (= Z (@ tptp.abs_Integ (@ (@ tptp.product_Pair_nat_nat X5) Y5))))))))
% 14.05/14.30 (assume a9774 (= tptp.zero_zero_int (@ tptp.abs_Integ (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) tptp.zero_zero_nat))))
% 14.05/14.30 (assume a9775 (= tptp.semiri1314217659103216013at_int (lambda ((N tptp.nat)) (@ tptp.abs_Integ (@ (@ tptp.product_Pair_nat_nat N) tptp.zero_zero_nat)))))
% 14.05/14.30 (assume a9776 (forall ((X tptp.product_prod_nat_nat)) (= (@ tptp.uminus_uminus_int (@ tptp.abs_Integ X)) (@ tptp.abs_Integ (@ (@ tptp.produc2626176000494625587at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y3) X2))) X)))))
% 14.05/14.30 (assume a9777 (= tptp.one_one_int (@ tptp.abs_Integ (@ (@ tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 14.05/14.30 (assume a9778 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_less_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X2) V4)) (@ (@ tptp.plus_plus_nat U2) Y3)))) __flatten_var_0))) Xa2) X))))
% 14.05/14.30 (assume a9779 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X2) V4)) (@ (@ tptp.plus_plus_nat U2) Y3)))) __flatten_var_0))) Xa2) X))))
% 14.05/14.30 (assume a9780 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (@ (@ tptp.plus_plus_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X2) U2)) (@ (@ tptp.plus_plus_nat Y3) V4)))) __flatten_var_0))) Xa2) X)))))
% 14.05/14.30 (assume a9781 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (@ (@ tptp.minus_minus_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X2) V4)) (@ (@ tptp.plus_plus_nat Y3) U2)))) __flatten_var_0))) Xa2) X)))))
% 14.05/14.30 (assume a9782 (= tptp.ord_less_eq_int (lambda ((X2 tptp.int) (Xa3 tptp.int)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y3 tptp.nat) (Z5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat Y3) V4)) (@ (@ tptp.plus_plus_nat U2) Z5)))) __flatten_var_0))) (@ tptp.rep_Integ X2)) (@ tptp.rep_Integ Xa3)))))
% 14.05/14.30 (assume a9783 (= tptp.ord_less_int (lambda ((X2 tptp.int) (Xa3 tptp.int)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y3 tptp.nat) (Z5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat Y3) V4)) (@ (@ tptp.plus_plus_nat U2) Z5)))) __flatten_var_0))) (@ tptp.rep_Integ X2)) (@ tptp.rep_Integ Xa3)))))
% 14.05/14.30 (assume a9784 (forall ((N2 tptp.nat)) (and (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.num_of_nat (@ tptp.suc N2)) (@ tptp.inc (@ tptp.num_of_nat N2)))) (=> (not (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2)) (= (@ tptp.num_of_nat (@ tptp.suc N2)) tptp.one)))))
% 14.05/14.30 (assume a9785 (forall ((Q2 tptp.num)) (= (@ tptp.num_of_nat (@ tptp.numeral_numeral_nat Q2)) Q2)))
% 14.05/14.30 (assume a9786 (= (@ tptp.num_of_nat tptp.zero_zero_nat) tptp.one))
% 14.05/14.30 (assume a9787 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.numeral_numeral_nat (@ tptp.num_of_nat N2)) N2))))
% 14.05/14.30 (assume a9788 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N2) tptp.one_one_nat) (= (@ tptp.num_of_nat N2) tptp.one))))
% 14.05/14.30 (assume a9789 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.num_of_nat (@ (@ tptp.plus_plus_nat N2) N2)) (@ tptp.bit0 (@ tptp.num_of_nat N2))))))
% 14.05/14.30 (assume a9790 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) M) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ tptp.num_of_nat (@ (@ tptp.plus_plus_nat M) N2)) (@ (@ tptp.plus_plus_num (@ tptp.num_of_nat M)) (@ tptp.num_of_nat N2)))))))
% 14.05/14.30 (assume a9791 (= tptp.uminus_uminus_int (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y3) X2))))))
% 14.05/14.30 (assume a9792 (= tptp.times_times_int (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat X2) U2)) (@ (@ tptp.times_times_nat Y3) V4))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat X2) V4)) (@ (@ tptp.times_times_nat Y3) U2))))) __flatten_var_0))))))
% 14.05/14.30 (assume a9793 (= tptp.minus_minus_int (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X2) V4)) (@ (@ tptp.plus_plus_nat Y3) U2)))) __flatten_var_0))))))
% 14.05/14.30 (assume a9794 (= tptp.plus_plus_int (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) (@ tptp.produc27273713700761075at_nat (lambda ((X2 tptp.nat) (Y3 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U2 tptp.nat) (V4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X2) U2)) (@ (@ tptp.plus_plus_nat Y3) V4)))) __flatten_var_0))))))
% 14.05/14.30 (assume a9795 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.pow X) (@ tptp.bit1 Y)) (@ (@ tptp.times_times_num (@ tptp.sqr (@ (@ tptp.pow X) Y))) X))))
% 14.05/14.30 (assume a9796 (forall ((N2 tptp.num)) (= (@ tptp.sqr (@ tptp.bit0 N2)) (@ tptp.bit0 (@ tptp.bit0 (@ tptp.sqr N2))))))
% 14.05/14.30 (assume a9797 (= (@ tptp.sqr tptp.one) tptp.one))
% 14.05/14.30 (assume a9798 (= tptp.sqr (lambda ((X2 tptp.num)) (@ (@ tptp.times_times_num X2) X2))))
% 14.05/14.30 (assume a9799 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ tptp.pow X) (@ tptp.bit0 Y)) (@ tptp.sqr (@ (@ tptp.pow X) Y)))))
% 14.05/14.30 (assume a9800 (forall ((N2 tptp.num)) (= (@ tptp.sqr (@ tptp.bit1 N2)) (@ tptp.bit1 (@ tptp.bit0 (@ (@ tptp.plus_plus_num (@ tptp.sqr N2)) N2))))))
% 14.05/14.30 (assume a9801 (= (@ tptp.code_integer_of_num (@ tptp.bit0 tptp.one)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))
% 14.05/14.30 (assume a9802 (forall ((C tptp.nat) (Y tptp.nat) (X tptp.nat)) (and (=> (@ (@ tptp.ord_less_nat C) Y) (= (@ (@ tptp.image_nat_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_nat I5) C))) (@ (@ tptp.set_or4665077453230672383an_nat X) Y)) (@ (@ tptp.set_or4665077453230672383an_nat (@ (@ tptp.minus_minus_nat X) C)) (@ (@ tptp.minus_minus_nat Y) C)))) (=> (not (@ (@ tptp.ord_less_nat C) Y)) (and (=> (@ (@ tptp.ord_less_nat X) Y) (= (@ (@ tptp.image_nat_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_nat I5) C))) (@ (@ tptp.set_or4665077453230672383an_nat X) Y)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat))) (=> (not (@ (@ tptp.ord_less_nat X) Y)) (= (@ (@ tptp.image_nat_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.minus_minus_nat I5) C))) (@ (@ tptp.set_or4665077453230672383an_nat X) Y)) tptp.bot_bot_set_nat)))))))
% 14.05/14.30 (assume a9803 (forall ((M7 tptp.set_nat) (N3 tptp.set_nat)) (= (@ (@ (@ tptp.bij_betw_nat_nat tptp.suc) M7) N3) (= (@ (@ tptp.image_nat_nat tptp.suc) M7) N3))))
% 14.05/14.30 (assume a9804 (forall ((I2 tptp.nat) (J tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or1269000886237332187st_nat I2) J)) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc I2)) (@ tptp.suc J)))))
% 14.05/14.30 (assume a9805 (forall ((I2 tptp.nat) (J tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or4665077453230672383an_nat I2) J)) (@ (@ tptp.set_or4665077453230672383an_nat (@ tptp.suc I2)) (@ tptp.suc J)))))
% 14.05/14.30 (assume a9806 (forall ((A2 tptp.set_nat)) (not (@ (@ tptp.member_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) A2)))))
% 14.05/14.30 (assume a9807 (forall ((N2 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_lessThan_nat N2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N2))))
% 14.05/14.30 (assume a9808 (forall ((N2 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_atMost_nat N2)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) (@ tptp.suc N2)))))
% 14.05/14.30 (assume a9809 (forall ((N2 tptp.nat)) (= (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (@ tptp.suc N2)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N2))))))
% 14.05/14.30 (assume a9810 (forall ((N2 tptp.nat)) (= (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.suc N2)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2))))))
% 14.05/14.30 (assume a9811 (forall ((N2 tptp.nat)) (= (@ tptp.set_ord_lessThan_nat (@ tptp.suc N2)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_lessThan_nat N2))))))
% 14.05/14.30 (assume a9812 (forall ((N2 tptp.nat)) (= (@ tptp.set_ord_atMost_nat (@ tptp.suc N2)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_atMost_nat N2))))))
% 14.05/14.30 (assume a9813 (= (@ tptp.code_integer_of_num tptp.one) tptp.one_one_Code_integer))
% 14.05/14.30 (assume a9814 (forall ((N2 tptp.num)) (= (@ tptp.code_integer_of_num (@ tptp.bit0 N2)) (@ (@ tptp.plus_p5714425477246183910nteger (@ tptp.code_integer_of_num N2)) (@ tptp.code_integer_of_num N2)))))
% 14.05/14.30 (assume a9815 (= tptp.comple4887499456419720421f_real (lambda ((X4 tptp.set_real)) (@ tptp.uminus_uminus_real (@ tptp.comple1385675409528146559p_real (@ (@ tptp.image_real_real tptp.uminus_uminus_real) X4))))))
% 14.05/14.30 (assume a9816 (forall ((X8 (-> tptp.nat tptp.real))) (=> (@ tptp.summable_real X8) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ X8 I4))) (= (@ tptp.suminf_real X8) (@ tptp.comple1385675409528146559p_real (@ (@ tptp.image_nat_real (lambda ((I5 tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real X8) (@ tptp.set_ord_lessThan_nat I5)))) tptp.top_top_set_nat)))))))
% 14.05/14.30 (assume a9817 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (= (@ (@ tptp.image_nat_nat (lambda ((M6 tptp.nat)) (@ (@ tptp.modulo_modulo_nat M6) N2))) tptp.top_top_set_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N2)))))
% 14.05/14.30 (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))))
% 14.05/14.30 (assume a9819 (= (@ tptp.finite410649719033368117t_unit tptp.top_to1996260823553986621t_unit) tptp.one_one_nat))
% 14.05/14.30 (assume a9820 (= (@ tptp.finite_card_o tptp.top_top_set_o) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))
% 14.05/14.30 (assume a9821 (forall ((A tptp.real)) (and (=> (= A tptp.zero_zero_real) (= (@ (@ tptp.image_real_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.times_times_real A)) tptp.top_top_set_real) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9822 (= tptp.root (lambda ((N tptp.nat) (X2 tptp.real)) (@ (@ (@ tptp.if_real (= N tptp.zero_zero_nat)) tptp.zero_zero_real) (@ (@ (@ tptp.the_in5290026491893676941l_real tptp.top_top_set_real) (lambda ((Y3 tptp.real)) (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real Y3)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real Y3)) N)))) X2)))))
% 14.05/14.30 (assume a9823 (= (@ tptp.finite_card_char tptp.top_top_set_char) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))))))))
% 14.05/14.30 (assume a9824 (= tptp.top_top_set_char (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))))))))))
% 14.05/14.30 (assume a9825 (forall ((X1 Bool) (X22 Bool) (X32 Bool) (X42 Bool) (X52 Bool) (X62 Bool) (X72 Bool) (X82 Bool)) (= (@ tptp.size_size_char (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 X1) X22) X32) X42) X52) X62) X72) X82)) tptp.zero_zero_nat)))
% 14.05/14.30 (assume a9826 (forall ((C tptp.char)) (@ (@ tptp.ord_less_nat (@ tptp.comm_s629917340098488124ar_nat C)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))
% 14.05/14.30 (assume a9827 (= (@ (@ tptp.image_char_nat tptp.comm_s629917340098488124ar_nat) tptp.top_top_set_char) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))
% 14.05/14.30 (assume a9828 (forall ((B0 Bool) (B1 Bool) (B22 Bool) (B32 Bool) (B42 Bool) (B52 Bool) (B62 Bool) (B72 Bool)) (= (@ tptp.integer_of_char (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 B0) B1) B22) B32) B42) B52) B62) B72)) (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ (@ tptp.plus_p5714425477246183910nteger (@ (@ tptp.times_3573771949741848930nteger (@ tptp.zero_n356916108424825756nteger B72)) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B62))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B52))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B42))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B32))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B22))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B1))) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (@ tptp.zero_n356916108424825756nteger B0)))))
% 14.05/14.30 (assume a9829 (forall ((C tptp.char)) (= (@ tptp.comm_s629917340098488124ar_nat (@ tptp.ascii_of C)) (@ (@ tptp.bit_se2925701944663578781it_nat (@ tptp.numeral_numeral_nat (@ tptp.bit1 (@ tptp.bit1 tptp.one)))) (@ tptp.comm_s629917340098488124ar_nat C)))))
% 14.05/14.30 (assume a9830 (forall ((N2 tptp.nat) (X tptp.real) (D4 tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (not (= X tptp.zero_zero_real)) (=> (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= D4 (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat)))))))) (=> (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (= D4 (@ tptp.uminus_uminus_real (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))))))) (=> (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (= D4 (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))))) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ tptp.root N2)) D4) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))))))
% 14.05/14.30 (assume a9831 (forall ((K tptp.nat)) (= (@ tptp.linord2614967742042102400et_nat (@ tptp.set_ord_lessThan_nat (@ tptp.suc K))) (@ (@ tptp.append_nat (@ tptp.linord2614967742042102400et_nat (@ tptp.set_ord_lessThan_nat K))) (@ (@ tptp.cons_nat K) tptp.nil_nat)))))
% 14.05/14.30 (assume a9832 (forall ((K tptp.nat)) (= (@ tptp.linord2614967742042102400et_nat (@ tptp.set_ord_atMost_nat (@ tptp.suc K))) (@ (@ tptp.append_nat (@ tptp.linord2614967742042102400et_nat (@ tptp.set_ord_atMost_nat K))) (@ (@ tptp.cons_nat (@ tptp.suc K)) tptp.nil_nat)))))
% 14.05/14.30 (assume a9833 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (S tptp.set_real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) S)) (=> (@ (@ tptp.ord_less_real L2) tptp.zero_zero_real) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.member_real (@ (@ tptp.minus_minus_real X) H4)) S) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F X)) (@ F (@ (@ tptp.minus_minus_real X) H4)))))))))))))
% 14.05/14.30 (assume a9834 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (S tptp.set_real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) S)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) L2) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.member_real (@ (@ tptp.minus_minus_real X) H4)) S) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F (@ (@ tptp.minus_minus_real X) H4))) (@ F X))))))))))))
% 14.05/14.30 (assume a9835 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (S tptp.set_real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) S)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) L2) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.member_real (@ (@ tptp.plus_plus_real X) H4)) S) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F X)) (@ F (@ (@ tptp.plus_plus_real X) H4)))))))))))))
% 14.05/14.30 (assume a9836 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (S tptp.set_real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) S)) (=> (@ (@ tptp.ord_less_real L2) tptp.zero_zero_real) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.member_real (@ (@ tptp.plus_plus_real X) H4)) S) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F (@ (@ tptp.plus_plus_real X) H4))) (@ F X))))))))))))
% 14.05/14.30 (assume a9837 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (K tptp.real)) (=> (not (= A B)) (=> (forall ((X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) K) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))) (= (@ (@ tptp.divide_divide_real (@ (@ tptp.minus_minus_real (@ F B)) (@ F A))) (@ (@ tptp.minus_minus_real B) A)) K)))))
% 14.05/14.30 (assume a9838 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (K tptp.real)) (=> (not (= A B)) (=> (forall ((X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) K) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))) (= (@ (@ tptp.minus_minus_real (@ F B)) (@ F A)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) A)) K))))))
% 14.05/14.30 (assume a9839 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real L2) tptp.zero_zero_real) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F X)) (@ F (@ (@ tptp.minus_minus_real X) H4))))))))))))
% 14.05/14.30 (assume a9840 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) L2) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F (@ (@ tptp.minus_minus_real X) H4))) (@ F X)))))))))))
% 14.05/14.30 (assume a9841 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) L2) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F X)) (@ F (@ (@ tptp.plus_plus_real X) H4))))))))))))
% 14.05/14.30 (assume a9842 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real L2) tptp.zero_zero_real) (exists ((D3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) D3) (forall ((H4 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H4) (=> (@ (@ tptp.ord_less_real H4) D3) (@ (@ tptp.ord_less_real (@ F (@ (@ tptp.plus_plus_real X) H4))) (@ F X)))))))))))
% 14.05/14.30 (assume a9843 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) X5) (=> (@ (@ tptp.ord_less_eq_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_real Y2) tptp.zero_zero_real)))))) (@ (@ tptp.ord_less_real (@ F B)) (@ F A))))))
% 14.05/14.30 (assume a9844 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) X5) (=> (@ (@ tptp.ord_less_eq_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y2)))))) (@ (@ tptp.ord_less_real (@ F A)) (@ F B))))))
% 14.05/14.30 (assume a9845 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) X5) (=> (@ (@ tptp.ord_less_eq_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_eq_real Y2) tptp.zero_zero_real)))))) (@ (@ tptp.ord_less_eq_real (@ F B)) (@ F A))))))
% 14.05/14.30 (assume a9846 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) X5) (=> (@ (@ tptp.ord_less_eq_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) Y2)))))) (@ (@ tptp.ord_less_eq_real (@ F A)) (@ F B))))))
% 14.05/14.30 (assume a9847 (forall ((A tptp.real) (B tptp.real) (G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1222579329274155063t_real A) B)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1222579329274155063t_real A) B)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ G2 X5)))) (=> (@ (@ tptp.ord_less_eq_real A) B) (@ (@ tptp.ord_less_eq_real (@ G A)) (@ G B)))))))
% 14.05/14.30 (assume a9848 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) X5) (=> (@ (@ tptp.ord_less_eq_real X5) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (exists ((Z4 tptp.real)) (and (@ (@ tptp.ord_less_real A) Z4) (@ (@ tptp.ord_less_real Z4) B) (= (@ (@ tptp.minus_minus_real (@ F B)) (@ F A)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) A)) (@ F6 Z4)))))))))
% 14.05/14.30 (assume a9849 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (D tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) D) (=> (forall ((Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) Y5))) D) (= (@ F X) (@ F Y5)))) (= L2 tptp.zero_zero_real))))))
% 14.05/14.30 (assume a9850 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.ln_ln_real) (@ tptp.inverse_inverse_real X)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9851 (forall ((A tptp.real) (B tptp.real) (V (-> tptp.real tptp.real)) (K tptp.real)) (=> (not (= A B)) (=> (forall ((X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real V) K) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))) (= (@ V (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real A) B)) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.divide_divide_real (@ (@ tptp.plus_plus_real (@ V A)) (@ V B))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 14.05/14.30 (assume a9852 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (D tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) D) (=> (forall ((Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) Y5))) D) (@ (@ tptp.ord_less_eq_real (@ F Y5)) (@ F X)))) (= L2 tptp.zero_zero_real))))))
% 14.05/14.30 (assume a9853 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (X tptp.real) (D tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L2) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) D) (=> (forall ((Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X) Y5))) D) (@ (@ tptp.ord_less_eq_real (@ F X)) (@ F Y5)))) (= L2 tptp.zero_zero_real))))))
% 14.05/14.30 (assume a9854 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.ln_ln_real) (@ (@ tptp.divide_divide_real tptp.one_one_real) X)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9855 (forall ((N2 tptp.nat) (X tptp.real) (S3 tptp.set_real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ (@ tptp.power_power_real X2) N2))) (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real X) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat))))) (@ (@ tptp.topolo2177554685111907308n_real X) S3))))
% 14.05/14.30 (assume a9856 (forall ((G (-> tptp.real tptp.real)) (M tptp.real) (X tptp.real) (N2 tptp.nat)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real G) M) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ (@ tptp.power_power_real (@ G X2)) N2))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ G X)) (@ (@ tptp.minus_minus_nat N2) tptp.one_one_nat)))) M)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9857 (forall ((Z tptp.real) (R tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) Z) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((Z5 tptp.real)) (@ (@ tptp.powr_real Z5) R))) (@ (@ tptp.times_times_real R) (@ (@ tptp.powr_real Z) (@ (@ tptp.minus_minus_real R) tptp.one_one_real)))) (@ (@ tptp.topolo2177554685111907308n_real Z) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9858 (forall ((X tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ tptp.log B)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.times_times_real (@ tptp.ln_ln_real B)) X))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9859 (forall ((G (-> tptp.real tptp.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.ord_less_real tptp.zero_zero_real) (@ G X)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ (@ tptp.powr_real (@ G X2)) R))) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real R) (@ (@ tptp.powr_real (@ G X)) (@ (@ tptp.minus_minus_real R) (@ tptp.semiri5074537144036343181t_real tptp.one_one_nat))))) M)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))))
% 14.05/14.30 (assume a9860 (forall ((G (-> tptp.real tptp.real)) (M tptp.real) (X tptp.real) (F (-> tptp.real tptp.real)) (R tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real G) M) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ G X)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) R) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ (@ tptp.powr_real (@ G X2)) (@ F X2)))) (@ (@ tptp.times_times_real (@ (@ tptp.powr_real (@ G X)) (@ F X))) (@ (@ tptp.plus_plus_real (@ (@ tptp.times_times_real R) (@ tptp.ln_ln_real (@ G X)))) (@ (@ tptp.divide_divide_real (@ (@ tptp.times_times_real M) (@ F X))) (@ G X))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))))
% 14.05/14.30 (assume a9861 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.sqrt) (@ (@ tptp.divide_divide_real (@ tptp.inverse_inverse_real (@ tptp.sqrt X))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9862 (forall ((X tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.arctan) (@ tptp.inverse_inverse_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))
% 14.05/14.30 (assume a9863 (forall ((X tptp.real) (A2 tptp.set_real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.arsinh_real) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.sqrt (@ (@ tptp.plus_plus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) A2))))
% 14.05/14.30 (assume a9864 (forall ((X tptp.real) (D4 tptp.real)) (=> (not (= X tptp.zero_zero_real)) (=> (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (= D4 (@ (@ tptp.divide_divide_real (@ tptp.inverse_inverse_real (@ tptp.sqrt X))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (=> (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (= D4 (@ (@ tptp.divide_divide_real (@ tptp.uminus_uminus_real (@ tptp.inverse_inverse_real (@ tptp.sqrt X)))) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.sqrt) D4) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))))
% 14.05/14.30 (assume a9865 (forall ((X tptp.real) (A2 tptp.set_real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.arcosh_real) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.sqrt (@ (@ tptp.minus_minus_real (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) A2)))))
% 14.05/14.30 (assume a9866 (forall ((X tptp.real) (A2 tptp.set_real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.artanh_real) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.topolo2177554685111907308n_real X) A2)))))
% 14.05/14.30 (assume a9867 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) X) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ tptp.root N2)) (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat)))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))))
% 14.05/14.30 (assume a9868 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.arccos) (@ tptp.inverse_inverse_real (@ tptp.uminus_uminus_real (@ tptp.sqrt (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))))
% 14.05/14.30 (assume a9869 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ (@ tptp.has_fi5821293074295781190e_real tptp.arcsin) (@ tptp.inverse_inverse_real (@ tptp.sqrt (@ (@ tptp.minus_minus_real tptp.one_one_real) (@ (@ tptp.power_power_real X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))))
% 14.05/14.30 (assume a9870 (forall ((Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (X tptp.real) (N2 tptp.nat)) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ F X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))
% 14.05/14.30 (assume a9871 (forall ((Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (X tptp.real) (N2 tptp.nat)) (=> (and (= (@ Diff tptp.zero_zero_nat) F) (forall ((M5 tptp.nat) (X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ F X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2)))))))))
% 14.05/14.30 (assume a9872 (forall ((N2 tptp.nat) (X tptp.real)) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (=> (not (= X tptp.zero_zero_real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ tptp.root N2)) (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real (@ tptp.semiri5074537144036343181t_real N2)) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat)))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))))
% 14.05/14.30 (assume a9873 (forall ((H2 tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H2) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) H2)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_real T4) H2) (= (@ F H2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real H2) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real H2) N2))))))))))))
% 14.05/14.30 (assume a9874 (forall ((H2 tptp.real) (Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) H2) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) H2)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) H2) (= (@ F H2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real H2) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real H2) N2)))))))))))
% 14.05/14.30 (assume a9875 (forall ((H2 tptp.real) (N2 tptp.nat) (Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real H2) tptp.zero_zero_real) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real H2) T4) (@ (@ tptp.ord_less_eq_real T4) tptp.zero_zero_real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real H2) T4) (@ (@ tptp.ord_less_real T4) tptp.zero_zero_real) (= (@ F H2) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real H2) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real H2) N2))))))))))))
% 14.05/14.30 (assume a9876 (forall ((Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (N2 tptp.nat) (X tptp.real)) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (not (= X tptp.zero_zero_real)) (=> (forall ((M5 tptp.nat) (X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ tptp.abs_abs_real T4)) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ F X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))))
% 14.05/14.30 (assume a9877 (forall ((Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (N2 tptp.nat) (X tptp.real)) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X))) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real T4)) (@ tptp.abs_abs_real X)) (= (@ F X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real X) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real X) N2))))))))))
% 14.05/14.30 (assume a9878 (forall ((N2 tptp.nat) (Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (A tptp.real) (B tptp.real) (C tptp.real) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real A) T4) (@ (@ tptp.ord_less_eq_real T4) B)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (=> (@ (@ tptp.ord_less_eq_real A) C) (=> (@ (@ tptp.ord_less_eq_real C) B) (=> (@ (@ tptp.ord_less_eq_real A) X) (=> (@ (@ tptp.ord_less_eq_real X) B) (=> (not (= X C)) (exists ((T4 tptp.real)) (and (=> (@ (@ tptp.ord_less_real X) C) (and (@ (@ tptp.ord_less_real X) T4) (@ (@ tptp.ord_less_real T4) C))) (=> (not (@ (@ tptp.ord_less_real X) C)) (and (@ (@ tptp.ord_less_real C) T4) (@ (@ tptp.ord_less_real T4) X))) (= (@ F X) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) C)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real X) C)) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real X) C)) N2))))))))))))))))
% 14.05/14.30 (assume a9879 (forall ((N2 tptp.nat) (Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real A) T4) (@ (@ tptp.ord_less_eq_real T4) B)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (=> (@ (@ tptp.ord_less_eq_real A) C) (=> (@ (@ tptp.ord_less_real C) B) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real C) T4) (@ (@ tptp.ord_less_real T4) B) (= (@ F B) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) C)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real B) C)) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real B) C)) N2)))))))))))))
% 14.05/14.30 (assume a9880 (forall ((N2 tptp.nat) (Diff (-> tptp.nat tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (A tptp.real) (B tptp.real) (C tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (= (@ Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real A) T4) (@ (@ tptp.ord_less_eq_real T4) B)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (=> (@ (@ tptp.ord_less_real A) C) (=> (@ (@ tptp.ord_less_eq_real C) B) (exists ((T4 tptp.real)) (and (@ (@ tptp.ord_less_real A) T4) (@ (@ tptp.ord_less_real T4) C) (= (@ F A) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((M6 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff M6) C)) (@ tptp.semiri2265585572941072030t_real M6))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real A) C)) M6)))) (@ tptp.set_ord_lessThan_nat N2))) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff N2) T4)) (@ tptp.semiri2265585572941072030t_real N2))) (@ (@ tptp.power_power_real (@ (@ tptp.minus_minus_real A) C)) N2)))))))))))))
% 14.05/14.30 (assume a9881 (forall ((N2 tptp.nat) (H2 tptp.real) (Diff (-> tptp.nat tptp.real tptp.real)) (K tptp.nat) (B2 tptp.real)) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M5) N2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T4) (@ (@ tptp.ord_less_eq_real T4) H2)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ Diff M5)) (@ (@ Diff (@ tptp.suc M5)) T4)) (@ (@ tptp.topolo2177554685111907308n_real T4) tptp.top_top_set_real)))) (=> (= N2 (@ tptp.suc K)) (forall ((M2 tptp.nat) (T6 tptp.real)) (=> (and (@ (@ tptp.ord_less_nat M2) N2) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) T6) (@ (@ tptp.ord_less_eq_real T6) H2)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((U2 tptp.real)) (@ (@ tptp.minus_minus_real (@ (@ Diff M2) U2)) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff (@ (@ tptp.plus_plus_nat M2) P4)) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real P4))) (@ (@ tptp.power_power_real U2) P4)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) M2)))) (@ (@ tptp.times_times_real B2) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real U2) (@ (@ tptp.minus_minus_nat N2) M2))) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) M2)))))))) (@ (@ tptp.minus_minus_real (@ (@ Diff (@ tptp.suc M2)) T6)) (@ (@ tptp.plus_plus_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((P4 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real (@ (@ Diff (@ (@ tptp.plus_plus_nat (@ tptp.suc M2)) P4)) tptp.zero_zero_real)) (@ tptp.semiri2265585572941072030t_real P4))) (@ (@ tptp.power_power_real T6) P4)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc M2))))) (@ (@ tptp.times_times_real B2) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real T6) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc M2)))) (@ tptp.semiri2265585572941072030t_real (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc M2)))))))) (@ (@ tptp.topolo2177554685111907308n_real T6) tptp.top_top_set_real))))))))
% 14.05/14.30 (assume a9882 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X9 tptp.real)) (@ tptp.suminf_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (@ (@ tptp.power_power_real X9) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))))))) (@ tptp.suminf_real (lambda ((K3 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) K3)) (@ (@ tptp.power_power_real X) (@ (@ tptp.times_times_nat K3) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))
% 14.05/14.30 (assume a9883 (forall ((N2 tptp.nat) (X tptp.real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (=> (@ (@ tptp.ord_less_real X) tptp.zero_zero_real) (@ (@ (@ tptp.has_fi5821293074295781190e_real (@ tptp.root N2)) (@ tptp.inverse_inverse_real (@ (@ tptp.times_times_real (@ tptp.uminus_uminus_real (@ tptp.semiri5074537144036343181t_real N2))) (@ (@ tptp.power_power_real (@ (@ tptp.root N2) X)) (@ (@ tptp.minus_minus_nat N2) (@ tptp.suc tptp.zero_zero_nat)))))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))))
% 14.05/14.30 (assume a9884 (forall ((R2 tptp.real) (F (-> tptp.nat tptp.real)) (X0 tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1633881224788618240n_real (@ tptp.uminus_uminus_real R2)) R2)) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ F N)) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N)))) (@ (@ tptp.power_power_real X5) N)))))) (=> (@ (@ tptp.member_real X0) (@ (@ tptp.set_or1633881224788618240n_real (@ tptp.uminus_uminus_real R2)) R2)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) R2) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ F N)) (@ (@ tptp.power_power_real X2) (@ tptp.suc N))))))) (@ tptp.suminf_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.times_times_real (@ F N)) (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N)))) (@ (@ tptp.power_power_real X0) N))))) (@ (@ tptp.topolo2177554685111907308n_real X0) tptp.top_top_set_real)))))))
% 14.05/14.30 (assume a9885 (forall ((X tptp.real)) (@ (@ tptp.member_real (@ tptp.tanh_real X)) (@ (@ tptp.set_or1633881224788618240n_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))))
% 14.05/14.30 (assume a9886 (forall ((A tptp.real) (B tptp.real) (X tptp.real) (Y tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.member_real X) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (=> (@ (@ tptp.member_real Y) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) tptp.zero_zero_real) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)))) (= (@ F X) (@ F Y))))))))
% 14.05/14.30 (assume a9887 (forall ((F (-> tptp.real tptp.nat tptp.real)) (F6 (-> tptp.real tptp.nat tptp.real)) (X0 tptp.real) (A tptp.real) (B tptp.real) (L5 (-> tptp.nat tptp.real))) (=> (forall ((N4 tptp.nat)) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ (@ F X2) N4))) (@ (@ F6 X0) N4)) (@ (@ tptp.topolo2177554685111907308n_real X0) tptp.top_top_set_real))) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (@ tptp.summable_real (@ F X5)))) (=> (@ (@ tptp.member_real X0) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (=> (@ tptp.summable_real (@ F6 X0)) (=> (@ tptp.summable_real L5) (=> (forall ((N4 tptp.nat) (X5 tptp.real) (Y5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (=> (@ (@ tptp.member_real Y5) (@ (@ tptp.set_or1633881224788618240n_real A) B)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real (@ (@ F X5) N4)) (@ (@ F Y5) N4)))) (@ (@ tptp.times_times_real (@ L5 N4)) (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real X5) Y5))))))) (@ (@ (@ tptp.has_fi5821293074295781190e_real (lambda ((X2 tptp.real)) (@ tptp.suminf_real (@ F X2)))) (@ tptp.suminf_real (@ F6 X0))) (@ (@ tptp.topolo2177554685111907308n_real X0) tptp.top_top_set_real))))))))))
% 14.05/14.30 (assume a9888 (= tptp.upto_aux (lambda ((I5 tptp.int) (J3 tptp.int) (Js tptp.list_int)) (@ (@ (@ tptp.if_list_int (@ (@ tptp.ord_less_int J3) I5)) Js) (@ (@ (@ tptp.upto_aux I5) (@ (@ tptp.minus_minus_int J3) tptp.one_one_int)) (@ (@ tptp.cons_int J3) Js))))))
% 14.05/14.30 (assume a9889 (forall ((L2 tptp.nat) (U tptp.nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.set_or5834768355832116004an_nat L2) U)) (@ (@ tptp.minus_minus_nat U) (@ tptp.suc L2)))))
% 14.05/14.30 (assume a9890 (forall ((L2 tptp.nat) (U tptp.nat)) (= (@ (@ tptp.set_or4665077453230672383an_nat (@ tptp.suc L2)) U) (@ (@ tptp.set_or5834768355832116004an_nat L2) U))))
% 14.05/14.30 (assume a9891 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (forall ((X5 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real A) X5) (@ (@ tptp.ord_less_eq_real X5) B)) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) F))) (exists ((L6 tptp.real) (M8 tptp.real)) (and (forall ((X3 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real A) X3) (@ (@ tptp.ord_less_eq_real X3) B)) (and (@ (@ tptp.ord_less_eq_real L6) (@ F X3)) (@ (@ tptp.ord_less_eq_real (@ F X3)) M8)))) (forall ((Y2 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real L6) Y2) (@ (@ tptp.ord_less_eq_real Y2) M8)) (exists ((X5 tptp.real)) (and (@ (@ tptp.ord_less_eq_real A) X5) (@ (@ tptp.ord_less_eq_real X5) B) (= (@ F X5) Y2)))))))))))
% 14.05/14.30 (assume a9892 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (C tptp.real)) (=> (@ (@ (@ tptp.filterlim_real_real F) (@ tptp.topolo2815343760600316023s_real L2)) (@ (@ tptp.topolo2177554685111907308n_real C) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) L2) (exists ((R3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) R3) (forall ((X3 tptp.real)) (=> (and (not (= X3 C)) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real C) X3))) R3)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F X3))))))))))
% 14.05/14.30 (assume a9893 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (C tptp.real)) (=> (@ (@ (@ tptp.filterlim_real_real F) (@ tptp.topolo2815343760600316023s_real L2)) (@ (@ tptp.topolo2177554685111907308n_real C) tptp.top_top_set_real)) (=> (not (= L2 tptp.zero_zero_real)) (exists ((R3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) R3) (forall ((X3 tptp.real)) (=> (and (not (= X3 C)) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real C) X3))) R3)) (not (= (@ F X3) tptp.zero_zero_real))))))))))
% 14.05/14.30 (assume a9894 (forall ((F (-> tptp.real tptp.real)) (L2 tptp.real) (C tptp.real)) (=> (@ (@ (@ tptp.filterlim_real_real F) (@ tptp.topolo2815343760600316023s_real L2)) (@ (@ tptp.topolo2177554685111907308n_real C) tptp.top_top_set_real)) (=> (@ (@ tptp.ord_less_real L2) tptp.zero_zero_real) (exists ((R3 tptp.real)) (and (@ (@ tptp.ord_less_real tptp.zero_zero_real) R3) (forall ((X3 tptp.real)) (=> (and (not (= X3 C)) (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real C) X3))) R3)) (@ (@ tptp.ord_less_real (@ F X3)) tptp.zero_zero_real)))))))))
% 14.05/14.30 (assume a9895 (forall ((X tptp.real)) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) tptp.sqrt)))
% 14.05/14.30 (assume a9896 (forall ((X tptp.real) (N2 tptp.nat)) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (@ tptp.root N2))))
% 14.05/14.30 (assume a9897 (forall ((A tptp.real) (X tptp.real) (B tptp.real) (G (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) X) (=> (@ (@ tptp.ord_less_real X) B) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) Z4) (=> (@ (@ tptp.ord_less_eq_real Z4) B) (= (@ G (@ F Z4)) Z4)))) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) Z4) (=> (@ (@ tptp.ord_less_eq_real Z4) B) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real)) F)))) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real (@ F X)) tptp.top_top_set_real)) G)))))))
% 14.05/14.30 (assume a9898 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ tptp.suc I2)) J) (= (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or5834768355832116004an_nat I2) J)) (@ (@ tptp.cons_nat (@ tptp.suc I2)) (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or5834768355832116004an_nat (@ tptp.suc I2)) J)))))))
% 14.05/14.30 (assume a9899 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) tptp.arcosh_real))))
% 14.05/14.30 (assume a9900 (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.cos_real X2)) (@ tptp.sin_real X2)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) (@ (@ tptp.topolo2177554685111907308n_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) tptp.top_top_set_real)))
% 14.05/14.30 (assume a9901 (forall ((N2 tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.minus_minus_nat J) (@ tptp.suc I2))) (= (@ (@ tptp.nth_nat (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or5834768355832116004an_nat I2) J))) N2) (@ tptp.suc (@ (@ tptp.plus_plus_nat I2) N2))))))
% 14.05/14.30 (assume a9902 (forall ((F (-> tptp.real tptp.real)) (D4 tptp.real) (G (-> tptp.real tptp.real)) (X tptp.real) (A tptp.real) (B tptp.real)) (=> (@ (@ (@ tptp.has_fi5821293074295781190e_real F) D4) (@ (@ tptp.topolo2177554685111907308n_real (@ G X)) tptp.top_top_set_real)) (=> (not (= D4 tptp.zero_zero_real)) (=> (@ (@ tptp.ord_less_real A) X) (=> (@ (@ tptp.ord_less_real X) B) (=> (forall ((Y5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) Y5) (=> (@ (@ tptp.ord_less_real Y5) B) (= (@ F (@ G Y5)) Y5)))) (=> (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) G) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ tptp.inverse_inverse_real D4)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real))))))))))
% 14.05/14.30 (assume a9903 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) tptp.arccos)))))
% 14.05/14.30 (assume a9904 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) tptp.arcsin)))))
% 14.05/14.30 (assume a9905 (forall ((B tptp.real) (X tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real B) X) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) (@ (@ tptp.set_or1633881224788618240n_real B) X)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5)))) (=> (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) F) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X)))))))
% 14.05/14.30 (assume a9906 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.uminus_uminus_real tptp.one_one_real)) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) tptp.artanh_real)))))
% 14.05/14.30 (assume a9907 (forall ((D tptp.real) (X tptp.real) (G (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) D) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real Z4) X))) D) (= (@ G (@ F Z4)) Z4))) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ (@ tptp.minus_minus_real Z4) X))) D) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real)) F))) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real (@ F X)) tptp.top_top_set_real)) G))))))
% 14.05/14.30 (assume a9908 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) Z4) (=> (@ (@ tptp.ord_less_eq_real Z4) B) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real)) F)))) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real A) Z4) (=> (@ (@ tptp.ord_less_eq_real Z4) B) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real)) G)))) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_real A) Z4) (=> (@ (@ tptp.ord_less_real Z4) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 Z4)) (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real))))) (=> (forall ((Z4 tptp.real)) (=> (@ (@ tptp.ord_less_real A) Z4) (=> (@ (@ tptp.ord_less_real Z4) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 Z4)) (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real))))) (exists ((C3 tptp.real)) (and (@ (@ tptp.ord_less_real A) C3) (@ (@ tptp.ord_less_real C3) B) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real (@ F B)) (@ F A))) (@ G2 C3)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real (@ G B)) (@ G A))) (@ F6 C3))))))))))))
% 14.05/14.30 (assume a9909 (forall ((A (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (@ tptp.topolo6980174941875973593q_real A) (=> (@ (@ tptp.ord_less_real (@ A tptp.zero_zero_nat)) tptp.zero_zero_real) (forall ((N9 tptp.nat)) (@ (@ tptp.member_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5))))) (@ (@ tptp.set_or1222579329274155063t_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N9)) tptp.one_one_nat)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N9)))))))))))
% 14.05/14.30 (assume a9910 (forall ((A (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (@ tptp.topolo6980174941875973593q_real A) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ A tptp.zero_zero_nat)) (forall ((N9 tptp.nat)) (@ (@ tptp.member_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5))))) (@ (@ tptp.set_or1222579329274155063t_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N9)))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N9)) tptp.one_one_nat)))))))))))
% 14.05/14.30 (assume a9911 (forall ((A (-> tptp.nat tptp.real)) (N2 tptp.nat)) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ A (@ tptp.suc N4))) (@ A N4))) (@ (@ tptp.ord_less_eq_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5))))) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) tptp.one_one_nat)))))))))
% 14.05/14.30 (assume a9912 (@ (@ (@ tptp.filterlim_nat_nat tptp.suc) tptp.at_top_nat) tptp.at_top_nat))
% 14.05/14.30 (assume a9913 (forall ((C tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ (@ tptp.filterlim_nat_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.times_times_nat X2) C))) tptp.at_top_nat) tptp.at_top_nat))))
% 14.05/14.30 (assume a9914 (forall ((C tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) C) (@ (@ (@ tptp.filterlim_nat_nat (@ tptp.times_times_nat C)) tptp.at_top_nat) tptp.at_top_nat))))
% 14.05/14.30 (assume a9915 (forall ((X8 (-> tptp.nat tptp.real)) (B2 tptp.real)) (=> (@ tptp.topolo6980174941875973593q_real X8) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real (@ X8 I4))) B2)) (not (forall ((L6 tptp.real)) (not (@ (@ (@ tptp.filterlim_nat_real X8) (@ tptp.topolo2815343760600316023s_real L6)) tptp.at_top_nat))))))))
% 14.05/14.30 (assume a9916 (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.root N) (@ tptp.semiri5074537144036343181t_real N)))) (@ tptp.topolo2815343760600316023s_real tptp.one_one_real)) tptp.at_top_nat))
% 14.05/14.30 (assume a9917 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ G (@ tptp.suc N4))) (@ G N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N4)) (@ G N4))) (=> (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_real (@ F N)) (@ G N)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (exists ((L4 tptp.real)) (and (forall ((N9 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N9)) L4)) (@ (@ (@ tptp.filterlim_nat_real F) (@ tptp.topolo2815343760600316023s_real L4)) tptp.at_top_nat) (forall ((N9 tptp.nat)) (@ (@ tptp.ord_less_eq_real L4) (@ G N9))) (@ (@ (@ tptp.filterlim_nat_real G) (@ tptp.topolo2815343760600316023s_real L4)) tptp.at_top_nat)))))))))
% 14.05/14.30 (assume a9918 (forall ((X8 (-> tptp.nat tptp.real))) (=> (forall ((R3 tptp.real)) (exists ((N7 tptp.nat)) (forall ((N4 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N7) N4) (@ (@ tptp.ord_less_real R3) (@ X8 N4)))))) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ tptp.inverse_inverse_real (@ X8 N)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9919 (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real N)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))
% 14.05/14.30 (assume a9920 (forall ((C tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) C) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.root N) C))) (@ tptp.topolo2815343760600316023s_real tptp.one_one_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9921 (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N))))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))
% 14.05/14.30 (assume a9922 (forall ((R tptp.real)) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_real R) (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N)))))) (@ tptp.topolo2815343760600316023s_real R)) tptp.at_top_nat)))
% 14.05/14.30 (assume a9923 (forall ((F (-> tptp.nat tptp.real)) (L2 tptp.real)) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N4)) (@ F (@ tptp.suc N4)))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ F N4)) L2)) (=> (forall ((E2 tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.zero_zero_real) E2) (exists ((N9 tptp.nat)) (@ (@ tptp.ord_less_eq_real L2) (@ (@ tptp.plus_plus_real (@ F N9)) E2))))) (@ (@ (@ tptp.filterlim_nat_real F) (@ tptp.topolo2815343760600316023s_real L2)) tptp.at_top_nat))))))
% 14.05/14.30 (assume a9924 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_real X) tptp.one_one_real) (@ (@ (@ tptp.filterlim_nat_real (@ tptp.power_power_real X)) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat)))))
% 14.05/14.30 (assume a9925 (forall ((X tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.divide_divide_real A) (@ (@ tptp.power_power_real X) N)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9926 (forall ((C tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real C)) tptp.one_one_real) (@ (@ (@ tptp.filterlim_nat_real (@ tptp.power_power_real (@ tptp.abs_abs_real C))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9927 (forall ((C tptp.real)) (=> (@ (@ tptp.ord_less_real (@ tptp.abs_abs_real C)) tptp.one_one_real) (@ (@ (@ tptp.filterlim_nat_real (@ tptp.power_power_real C)) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9928 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) X) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ tptp.inverse_inverse_real (@ (@ tptp.power_power_real X) N)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9929 (forall ((R tptp.real)) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.plus_plus_real R) (@ tptp.uminus_uminus_real (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N))))))) (@ tptp.topolo2815343760600316023s_real R)) tptp.at_top_nat)))
% 14.05/14.30 (assume a9930 (forall ((X tptp.real)) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.power_power_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.divide_divide_real X) (@ tptp.semiri5074537144036343181t_real N)))) N))) (@ tptp.topolo2815343760600316023s_real (@ tptp.exp_real X))) tptp.at_top_nat)))
% 14.05/14.30 (assume a9931 (forall ((R tptp.real)) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real R) (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ tptp.uminus_uminus_real (@ tptp.inverse_inverse_real (@ tptp.semiri5074537144036343181t_real (@ tptp.suc N)))))))) (@ tptp.topolo2815343760600316023s_real R)) tptp.at_top_nat)))
% 14.05/14.30 (assume a9932 (forall ((A (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (@ tptp.topolo6980174941875973593q_real A) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N)) (@ A N))))))))
% 14.05/14.30 (assume a9933 (forall ((A (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ A (@ tptp.suc N4))) (@ A N4))) (@ tptp.summable_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) N)) (@ A N)))))))))
% 14.05/14.30 (assume a9934 (forall ((Theta (-> tptp.nat tptp.real)) (Theta2 tptp.real)) (=> (@ (@ (@ tptp.filterlim_nat_real (lambda ((J3 tptp.nat)) (@ tptp.cos_real (@ (@ tptp.minus_minus_real (@ Theta J3)) Theta2)))) (@ tptp.topolo2815343760600316023s_real tptp.one_one_real)) tptp.at_top_nat) (not (forall ((K2 (-> tptp.nat tptp.int))) (not (@ (@ (@ tptp.filterlim_nat_real (lambda ((J3 tptp.nat)) (@ (@ tptp.minus_minus_real (@ Theta J3)) (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real (@ K2 J3))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))))) (@ tptp.topolo2815343760600316023s_real Theta2)) tptp.at_top_nat)))))))
% 14.05/14.30 (assume a9935 (forall ((Theta (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real (lambda ((J3 tptp.nat)) (@ tptp.cos_real (@ Theta J3)))) (@ tptp.topolo2815343760600316023s_real tptp.one_one_real)) tptp.at_top_nat) (exists ((K2 (-> tptp.nat tptp.int))) (@ (@ (@ tptp.filterlim_nat_real (lambda ((J3 tptp.nat)) (@ (@ tptp.minus_minus_real (@ Theta J3)) (@ (@ tptp.times_times_real (@ tptp.ring_1_of_int_real (@ K2 J3))) (@ (@ tptp.times_times_real (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))) tptp.pi))))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat)))))
% 14.05/14.30 (assume a9936 (forall ((A (-> tptp.nat tptp.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 (lambda ((N tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))))) (@ tptp.topolo2815343760600316023s_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))))) tptp.at_top_nat)))))
% 14.05/14.30 (assume a9937 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real (@ tptp.abs_abs_real X)) tptp.one_one_real) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.divide_divide_real tptp.one_one_real) (@ tptp.semiri5074537144036343181t_real (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (@ (@ tptp.power_power_real X) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat N) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) tptp.one_one_nat))))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat))))
% 14.05/14.30 (assume a9938 (forall ((A (-> tptp.nat tptp.real)) (N2 tptp.nat)) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ A (@ tptp.suc N4))) (@ A N4))) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)))) (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5))))))))))
% 14.05/14.30 (assume a9939 (forall ((A (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ A (@ tptp.suc N4))) (@ A N4))) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))))) (@ tptp.topolo2815343760600316023s_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))))) tptp.at_top_nat))))))
% 14.05/14.30 (assume a9940 (forall ((A (-> tptp.nat tptp.real))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ A (@ tptp.suc N4))) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (exists ((L4 tptp.real)) (and (forall ((N9 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N9)))) L4)) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N))))) (@ tptp.topolo2815343760600316023s_real L4)) tptp.at_top_nat) (forall ((N9 tptp.nat)) (@ (@ tptp.ord_less_eq_real L4) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N9)) tptp.one_one_nat))))) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))) (@ tptp.topolo2815343760600316023s_real L4)) tptp.at_top_nat))))))))
% 14.05/14.30 (assume a9941 (forall ((A (-> tptp.nat tptp.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 (lambda ((N tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))) (@ tptp.topolo2815343760600316023s_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))))) tptp.at_top_nat)))))
% 14.05/14.30 (assume a9942 (forall ((A (-> tptp.nat tptp.real))) (=> (@ (@ (@ tptp.filterlim_nat_real A) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_nat) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ A N4))) (=> (forall ((N4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ A (@ tptp.suc N4))) (@ A N4))) (@ (@ (@ tptp.filterlim_nat_real (lambda ((N tptp.nat)) (@ (@ tptp.groups6591440286371151544t_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))) (@ tptp.set_ord_lessThan_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))) (@ tptp.topolo2815343760600316023s_real (@ tptp.suminf_real (lambda ((I5 tptp.nat)) (@ (@ tptp.times_times_real (@ (@ tptp.power_power_real (@ tptp.uminus_uminus_real tptp.one_one_real)) I5)) (@ A I5)))))) tptp.at_top_nat))))))
% 14.05/14.30 (assume a9943 (= tptp.real_V5970128139526366754l_real (lambda ((F5 (-> tptp.real tptp.real))) (exists ((C2 tptp.real)) (= F5 (lambda ((X2 tptp.real)) (@ (@ tptp.times_times_real X2) C2)))))))
% 14.05/14.30 (assume a9944 (forall ((X tptp.real)) (@ (@ (@ tptp.filterlim_real_real (lambda ((Y3 tptp.real)) (@ (@ tptp.powr_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.times_times_real X) Y3))) (@ (@ tptp.divide_divide_real tptp.one_one_real) Y3)))) (@ tptp.topolo2815343760600316023s_real (@ tptp.exp_real X))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 14.05/14.30 (assume a9945 (@ (@ (@ tptp.filterlim_real_real tptp.arctan) (@ tptp.topolo2815343760600316023s_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))) tptp.at_bot_real))
% 14.05/14.30 (assume a9946 (@ (@ (@ tptp.filterlim_real_real tptp.artanh_real) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real (@ tptp.uminus_uminus_real tptp.one_one_real)) (@ tptp.set_or5849166863359141190n_real (@ tptp.uminus_uminus_real tptp.one_one_real)))))
% 14.05/14.30 (assume a9947 (@ (@ (@ tptp.filterlim_real_real tptp.tan_real) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) (@ tptp.set_or5849166863359141190n_real (@ tptp.uminus_uminus_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))))))
% 14.05/14.30 (assume a9948 (@ (@ (@ tptp.filterlim_real_real tptp.tanh_real) (@ tptp.topolo2815343760600316023s_real (@ tptp.uminus_uminus_real tptp.one_one_real))) tptp.at_bot_real))
% 14.05/14.30 (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))))
% 14.05/14.30 (assume a9950 (forall ((B tptp.real) (F (-> tptp.real tptp.real)) (Flim tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y2))))) (=> (@ (@ (@ tptp.filterlim_real_real F) (@ tptp.topolo2815343760600316023s_real Flim)) tptp.at_bot_real) (@ (@ tptp.ord_less_real Flim) (@ F B))))))
% 14.05/14.30 (assume a9951 (forall ((N2 tptp.nat) (F (-> tptp.real tptp.real)) (F3 tptp.filter_real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ (@ tptp.filterlim_real_real F) tptp.at_bot_real) F3) (=> (not (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2)) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.power_power_real (@ F X2)) N2))) tptp.at_bot_real) F3))))))
% 14.05/14.30 (assume a9952 (forall ((N2 tptp.nat) (F (-> tptp.real tptp.real)) (F3 tptp.filter_real)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (=> (@ (@ (@ tptp.filterlim_real_real F) tptp.at_bot_real) F3) (=> (@ (@ tptp.dvd_dvd_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) N2) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.power_power_real (@ F X2)) N2))) tptp.at_top_real) F3))))))
% 14.05/14.30 (assume a9953 (@ (@ (@ tptp.filterlim_real_real tptp.sqrt) tptp.at_top_real) tptp.at_top_real))
% 14.05/14.30 (assume a9954 (= (@ tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) tptp.top_top_set_nat)))
% 14.05/14.30 (assume a9955 (@ (@ (@ tptp.filterlim_real_real tptp.tanh_real) (@ tptp.topolo2815343760600316023s_real tptp.one_one_real)) tptp.at_top_real))
% 14.05/14.30 (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))))
% 14.05/14.30 (assume a9957 (forall ((K tptp.nat)) (= (@ tptp.set_or1210151606488870762an_nat (@ tptp.suc K)) (@ (@ tptp.minus_minus_set_nat (@ tptp.set_or1210151606488870762an_nat K)) (@ (@ tptp.insert_nat (@ tptp.suc K)) tptp.bot_bot_set_nat)))))
% 14.05/14.30 (assume a9958 (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ tptp.ln_ln_real X2)) X2))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_real))
% 14.05/14.30 (assume a9959 (forall ((K tptp.nat)) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ (@ tptp.power_power_real X2) K)) (@ tptp.exp_real X2)))) (@ tptp.topolo2815343760600316023s_real tptp.zero_zero_real)) tptp.at_top_real)))
% 14.05/14.30 (assume a9960 (forall ((X tptp.real)) (@ (@ (@ tptp.filterlim_real_real (lambda ((Y3 tptp.real)) (@ (@ tptp.powr_real (@ (@ tptp.plus_plus_real tptp.one_one_real) (@ (@ tptp.divide_divide_real X) Y3))) Y3))) (@ tptp.topolo2815343760600316023s_real (@ tptp.exp_real X))) tptp.at_top_real)))
% 14.05/14.30 (assume a9961 (@ (@ (@ tptp.filterlim_real_real tptp.tan_real) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))) (@ tptp.set_or5984915006950818249n_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one)))))))
% 14.05/14.30 (assume a9962 (forall ((B tptp.real) (F (-> tptp.real tptp.real)) (Flim tptp.real)) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_eq_real B) X5) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_real Y2) tptp.zero_zero_real))))) (=> (@ (@ (@ tptp.filterlim_real_real F) (@ tptp.topolo2815343760600316023s_real Flim)) tptp.at_top_real) (@ (@ tptp.ord_less_real Flim) (@ F B))))))
% 14.05/14.30 (assume a9963 (@ (@ (@ tptp.filterlim_real_real tptp.arctan) (@ tptp.topolo2815343760600316023s_real (@ (@ tptp.divide_divide_real tptp.pi) (@ tptp.numeral_numeral_real (@ tptp.bit0 tptp.one))))) tptp.at_top_real))
% 14.05/14.30 (assume a9964 (forall ((G (-> tptp.real tptp.real)) (X tptp.real) (G2 (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) (@ tptp.topolo2815343760600316023s_real Y)) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) (@ tptp.topolo2815343760600316023s_real Y)) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))))))))))
% 14.05/14.30 (assume a9965 (forall ((P (-> tptp.nat Bool))) (= (@ (@ tptp.eventually_nat (lambda ((I5 tptp.nat)) (@ P (@ tptp.suc I5)))) tptp.at_top_nat) (@ (@ tptp.eventually_nat P) tptp.at_top_nat))))
% 14.05/14.30 (assume a9966 (forall ((P (-> tptp.nat Bool)) (K tptp.nat)) (= (@ (@ tptp.eventually_nat (lambda ((N tptp.nat)) (@ P (@ (@ tptp.plus_plus_nat N) K)))) tptp.at_top_nat) (@ (@ tptp.eventually_nat P) tptp.at_top_nat))))
% 14.05/14.30 (assume a9967 (forall ((C tptp.nat) (P (-> tptp.nat Bool))) (=> (forall ((X5 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat C) X5) (@ P X5))) (@ (@ tptp.eventually_nat P) tptp.at_top_nat))))
% 14.05/14.30 (assume a9968 (forall ((P (-> tptp.nat Bool))) (= (@ (@ tptp.eventually_nat P) tptp.at_top_nat) (exists ((N6 tptp.nat)) (forall ((N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N6) N) (@ P N)))))))
% 14.05/14.30 (assume a9969 (forall ((F3 tptp.filter_nat)) (= (@ (@ tptp.ord_le2510731241096832064er_nat F3) tptp.at_top_nat) (forall ((N6 tptp.nat)) (@ (@ tptp.eventually_nat (@ tptp.ord_less_eq_nat N6)) F3)))))
% 14.05/14.30 (assume a9970 (forall ((P (-> tptp.nat Bool)) (K tptp.nat)) (=> (@ (@ tptp.eventually_nat P) tptp.at_top_nat) (@ (@ tptp.eventually_nat (lambda ((I5 tptp.nat)) (@ P (@ (@ tptp.plus_plus_nat I5) K)))) tptp.at_top_nat))))
% 14.05/14.30 (assume a9971 (forall ((B tptp.real) (A tptp.real)) (=> (@ (@ tptp.ord_less_real B) A) (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ tptp.member_real X2) (@ (@ tptp.set_or1633881224788618240n_real B) A)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))))))
% 14.05/14.30 (assume a9972 (forall ((P (-> tptp.real Bool)) (A tptp.real)) (= (@ (@ tptp.eventually_real P) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ P (@ (@ tptp.plus_plus_real X2) A)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 14.05/14.30 (assume a9973 (forall ((A tptp.real) (B tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ tptp.member_real X2) (@ (@ tptp.set_or1633881224788618240n_real A) B)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))))))
% 14.05/14.30 (assume a9974 (forall ((F (-> tptp.real tptp.real)) (A tptp.real) (G (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)))))))))
% 14.05/14.30 (assume a9975 (forall ((F (-> tptp.real tptp.real)) (A tptp.real) (G (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))))))))))
% 14.05/14.30 (assume a9976 (forall ((F (-> tptp.real tptp.real)) (X tptp.real) (G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))))))))
% 14.05/14.30 (assume a9977 (forall ((F (-> tptp.real tptp.real)) (X tptp.real) (G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))))))))))))
% 14.05/14.30 (assume a9978 (forall ((F (-> tptp.real tptp.real)) (A tptp.real) (G (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) tptp.at_top_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))))))))))
% 14.05/14.30 (assume a9979 (forall ((F (-> tptp.real tptp.real)) (A tptp.real) (G (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real A) tptp.top_top_set_real)))))))))
% 14.05/14.30 (assume a9980 (forall ((F (-> tptp.real tptp.real)) (A tptp.real) (G (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5984915006950818249n_real A))))))))))
% 14.05/14.30 (assume a9981 (forall ((G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (X tptp.real)) (=> (@ (@ (@ tptp.filterlim_real_real G) tptp.at_top_real) tptp.at_top_real) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) tptp.at_top_real) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) tptp.at_top_real) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) tptp.at_top_real) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) (@ tptp.topolo2815343760600316023s_real X)) tptp.at_top_real) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) (@ tptp.topolo2815343760600316023s_real X)) tptp.at_top_real))))))))
% 14.05/14.30 (assume a9982 (forall ((G (-> tptp.real tptp.real)) (X tptp.real) (G2 (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) (@ tptp.topolo2815343760600316023s_real Y)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) (@ tptp.topolo2815343760600316023s_real Y)) (@ (@ tptp.topolo2177554685111907308n_real X) tptp.top_top_set_real)))))))))
% 14.05/14.30 (assume a9983 (forall ((G (-> tptp.real tptp.real)) (X tptp.real) (G2 (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) (@ tptp.topolo2815343760600316023s_real Y)) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) (@ tptp.topolo2815343760600316023s_real Y)) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5984915006950818249n_real X))))))))))
% 14.05/14.30 (assume a9984 (forall ((F0 (-> tptp.real tptp.real)) (G0 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G0 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F0) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G0) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F0 X2)) (@ G0 X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))))))))
% 14.05/14.30 (assume a9985 (forall ((F (-> tptp.real tptp.real)) (X tptp.real) (G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) F3) (@ (@ tptp.topolo2177554685111907308n_real X) (@ tptp.set_or5849166863359141190n_real X))))))))))))
% 14.05/14.30 (assume a9986 (forall ((F (-> tptp.real tptp.real)) (A tptp.real) (G (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) tptp.at_bot_real) (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A))))))))))
% 14.05/14.30 (assume a9987 (forall ((G (-> tptp.real tptp.real)) (G2 (-> tptp.real tptp.real)) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.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 (lambda ((X2 tptp.real)) (not (= (@ G2 X2) tptp.zero_zero_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ tptp.eventually_real (lambda ((X2 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real G) (@ G2 X2)) (@ (@ tptp.topolo2177554685111907308n_real X2) tptp.top_top_set_real)))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F6 X2)) (@ G2 X2)))) (@ tptp.topolo2815343760600316023s_real X)) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (@ (@ (@ tptp.filterlim_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.divide_divide_real (@ F X2)) (@ G X2)))) (@ tptp.topolo2815343760600316023s_real X)) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))))))
% 14.05/14.30 (assume a9988 (forall ((X tptp.real)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (@ (@ tptp.ord_less_eq_real X) tptp.one_one_real) (@ (@ tptp.bfun_nat_real (@ tptp.power_power_real X)) tptp.at_top_nat)))))
% 14.05/14.30 (assume a9989 (forall ((L2 tptp.nat) (U tptp.nat)) (= (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc L2)) U) (@ (@ tptp.set_or6659071591806873216st_nat L2) U))))
% 14.05/14.30 (assume a9990 (forall ((P (-> tptp.nat Bool)) (B tptp.nat)) (=> (exists ((X_12 tptp.nat)) (@ P X_12)) (=> (forall ((Y5 tptp.nat)) (=> (@ P Y5) (@ (@ tptp.ord_less_eq_nat Y5) B))) (@ P (@ tptp.order_Greatest_nat P))))))
% 14.05/14.30 (assume a9991 (forall ((P (-> tptp.nat Bool)) (K tptp.nat) (B tptp.nat)) (=> (@ P K) (=> (forall ((Y5 tptp.nat)) (=> (@ P Y5) (@ (@ tptp.ord_less_eq_nat Y5) B))) (@ (@ tptp.ord_less_eq_nat K) (@ tptp.order_Greatest_nat P))))))
% 14.05/14.30 (assume a9992 (forall ((P (-> tptp.nat Bool)) (K tptp.nat) (B tptp.nat)) (=> (@ P K) (=> (forall ((Y5 tptp.nat)) (=> (@ P Y5) (@ (@ tptp.ord_less_eq_nat Y5) B))) (@ P (@ tptp.order_Greatest_nat P))))))
% 14.05/14.30 (assume a9993 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.suc I2)) J) (= (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or6659071591806873216st_nat I2) J)) (@ (@ tptp.cons_nat (@ tptp.suc I2)) (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or6659071591806873216st_nat (@ tptp.suc I2)) J)))))))
% 14.05/14.30 (assume a9994 (forall ((N2 tptp.nat) (J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N2) (@ (@ tptp.minus_minus_nat J) I2)) (= (@ (@ tptp.nth_nat (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or6659071591806873216st_nat I2) J))) N2) (@ tptp.suc (@ (@ tptp.plus_plus_nat I2) N2))))))
% 14.05/14.30 (assume a9995 (forall ((K tptp.nat)) (= (@ tptp.set_ord_atLeast_nat (@ tptp.suc K)) (@ tptp.set_or1210151606488870762an_nat K))))
% 14.05/14.30 (assume a9996 (forall ((X8 (-> tptp.nat tptp.real)) (B2 tptp.real)) (=> (@ tptp.order_9091379641038594480t_real X8) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real B2) (@ X8 I4))) (@ (@ tptp.bfun_nat_real X8) tptp.at_top_nat)))))
% 14.05/14.30 (assume a9997 (forall ((X8 (-> tptp.nat tptp.real)) (B2 tptp.real)) (=> (@ tptp.order_9091379641038594480t_real X8) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real B2) (@ X8 I4))) (not (forall ((L6 tptp.real)) (=> (@ (@ (@ tptp.filterlim_nat_real X8) (@ tptp.topolo2815343760600316023s_real L6)) tptp.at_top_nat) (not (forall ((I tptp.nat)) (@ (@ tptp.ord_less_eq_real L6) (@ X8 I)))))))))))
% 14.05/14.30 (assume a9998 (forall ((K tptp.nat)) (= (@ tptp.set_ord_atLeast_nat (@ tptp.suc K)) (@ (@ tptp.minus_minus_set_nat (@ tptp.set_ord_atLeast_nat K)) (@ (@ tptp.insert_nat K) tptp.bot_bot_set_nat)))))
% 14.05/14.30 (assume a9999 (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (@ (@ tptp.product_Pair_int_int I2) J)) (and (=> (@ (@ tptp.ord_less_eq_int I2) J) (= (@ (@ tptp.upto I2) J) (@ (@ tptp.cons_int I2) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int I2) tptp.one_one_int)) J)))) (=> (not (@ (@ tptp.ord_less_eq_int I2) J)) (= (@ (@ tptp.upto I2) J) tptp.nil_int))))))
% 14.05/14.30 (assume a10000 (forall ((J tptp.int) (I2 tptp.int)) (=> (@ (@ tptp.ord_less_int J) I2) (= (@ (@ tptp.upto I2) J) tptp.nil_int))))
% 14.05/14.30 (assume a10001 (forall ((I2 tptp.int) (J tptp.int)) (= (= tptp.nil_int (@ (@ tptp.upto I2) J)) (@ (@ tptp.ord_less_int J) I2))))
% 14.05/14.30 (assume a10002 (forall ((I2 tptp.int) (J tptp.int)) (= (= (@ (@ tptp.upto I2) J) tptp.nil_int) (@ (@ tptp.ord_less_int J) I2))))
% 14.05/14.30 (assume a10003 (forall ((I2 tptp.int)) (= (@ (@ tptp.upto I2) I2) (@ (@ tptp.cons_int I2) tptp.nil_int))))
% 14.05/14.30 (assume a10004 (forall ((I2 tptp.int) (K tptp.nat) (J tptp.int)) (=> (@ (@ tptp.ord_less_eq_int (@ (@ tptp.plus_plus_int I2) (@ tptp.semiri1314217659103216013at_int K))) J) (= (@ (@ tptp.nth_int (@ (@ tptp.upto I2) J)) K) (@ (@ tptp.plus_plus_int I2) (@ tptp.semiri1314217659103216013at_int K))))))
% 14.05/14.30 (assume a10005 (forall ((I2 tptp.int) (J tptp.int)) (= (@ tptp.size_size_list_int (@ (@ tptp.upto I2) J)) (@ tptp.nat2 (@ (@ tptp.plus_plus_int (@ (@ tptp.minus_minus_int J) I2)) tptp.one_one_int)))))
% 14.05/14.30 (assume a10006 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (= (@ (@ tptp.upto (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.cons_int (@ tptp.numeral_numeral_int M)) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int M)) tptp.one_one_int)) (@ tptp.numeral_numeral_int N2))))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2))) (= (@ (@ tptp.upto (@ tptp.numeral_numeral_int M)) (@ tptp.numeral_numeral_int N2)) tptp.nil_int)))))
% 14.05/14.30 (assume a10007 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (= (@ (@ tptp.upto (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ (@ tptp.cons_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2)))))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2)))) (= (@ (@ tptp.upto (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) tptp.nil_int)))))
% 14.05/14.30 (assume a10008 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) (= (@ (@ tptp.upto (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) (@ (@ tptp.cons_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) tptp.one_one_int)) (@ tptp.numeral_numeral_int N2))))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2))) (= (@ (@ tptp.upto (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) tptp.nil_int)))))
% 14.05/14.30 (assume a10009 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (= (@ (@ tptp.upto (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ (@ tptp.cons_int (@ tptp.numeral_numeral_int M)) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int (@ tptp.numeral_numeral_int M)) tptp.one_one_int)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2)))))) (=> (not (@ (@ tptp.ord_less_eq_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2)))) (= (@ (@ tptp.upto (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) tptp.nil_int)))))
% 14.05/14.30 (assume a10010 (= tptp.set_or6656581121297822940st_int (lambda ((I5 tptp.int) (J3 tptp.int)) (@ tptp.set_int2 (@ (@ tptp.upto (@ (@ tptp.plus_plus_int I5) tptp.one_one_int)) J3)))))
% 14.05/14.30 (assume a10011 (= tptp.set_or4662586982721622107an_int (lambda ((I5 tptp.int) (J3 tptp.int)) (@ tptp.set_int2 (@ (@ tptp.upto I5) (@ (@ tptp.minus_minus_int J3) tptp.one_one_int))))))
% 14.05/14.30 (assume a10012 (= tptp.set_or1266510415728281911st_int (lambda ((I5 tptp.int) (J3 tptp.int)) (@ tptp.set_int2 (@ (@ tptp.upto I5) J3)))))
% 14.05/14.30 (assume a10013 (forall ((I2 tptp.int) (J tptp.int)) (@ tptp.distinct_int (@ (@ tptp.upto I2) J))))
% 14.05/14.30 (assume a10014 (= tptp.upto (lambda ((I5 tptp.int) (J3 tptp.int)) (@ (@ (@ tptp.upto_aux I5) J3) tptp.nil_int))))
% 14.05/14.30 (assume a10015 (= tptp.upto_aux (lambda ((I5 tptp.int) (J3 tptp.int) (__flatten_var_0 tptp.list_int)) (@ (@ tptp.append_int (@ (@ tptp.upto I5) J3)) __flatten_var_0))))
% 14.05/14.30 (assume a10016 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int I2) J) (=> (@ (@ tptp.ord_less_eq_int J) K) (= (@ (@ tptp.upto I2) K) (@ (@ tptp.append_int (@ (@ tptp.upto I2) J)) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int J) tptp.one_one_int)) K)))))))
% 14.05/14.30 (assume a10017 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int I2) J) (=> (@ (@ tptp.ord_less_eq_int J) K) (= (@ (@ tptp.upto I2) K) (@ (@ tptp.append_int (@ (@ tptp.upto I2) (@ (@ tptp.minus_minus_int J) tptp.one_one_int))) (@ (@ tptp.upto J) K)))))))
% 14.05/14.30 (assume a10018 (= tptp.set_or5832277885323065728an_int (lambda ((I5 tptp.int) (J3 tptp.int)) (@ tptp.set_int2 (@ (@ tptp.upto (@ (@ tptp.plus_plus_int I5) tptp.one_one_int)) (@ (@ tptp.minus_minus_int J3) tptp.one_one_int))))))
% 14.05/14.30 (assume a10019 (= tptp.upto (lambda ((I5 tptp.int) (J3 tptp.int)) (@ (@ (@ tptp.if_list_int (@ (@ tptp.ord_less_eq_int I5) J3)) (@ (@ tptp.cons_int I5) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int I5) tptp.one_one_int)) J3))) tptp.nil_int))))
% 14.05/14.30 (assume a10020 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (@ (@ tptp.upto X) Xa2) Y) (and (=> (@ (@ tptp.ord_less_eq_int X) Xa2) (= Y (@ (@ tptp.cons_int X) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int X) tptp.one_one_int)) Xa2)))) (=> (not (@ (@ tptp.ord_less_eq_int X) Xa2)) (= Y tptp.nil_int))))))
% 14.05/14.30 (assume a10021 (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.ord_less_eq_int I2) J) (= (@ (@ tptp.upto I2) J) (@ (@ tptp.cons_int I2) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int I2) tptp.one_one_int)) J))))))
% 14.05/14.30 (assume a10022 (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.ord_less_eq_int I2) J) (= (@ (@ tptp.upto I2) J) (@ (@ tptp.append_int (@ (@ tptp.upto I2) (@ (@ tptp.minus_minus_int J) tptp.one_one_int))) (@ (@ tptp.cons_int J) tptp.nil_int))))))
% 14.05/14.30 (assume a10023 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int)) (=> (@ (@ tptp.ord_less_eq_int I2) J) (=> (@ (@ tptp.ord_less_eq_int J) K) (= (@ (@ tptp.upto I2) K) (@ (@ tptp.append_int (@ (@ tptp.upto I2) (@ (@ tptp.minus_minus_int J) tptp.one_one_int))) (@ (@ tptp.cons_int J) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int J) tptp.one_one_int)) K))))))))
% 14.05/14.30 (assume a10024 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (@ (@ tptp.upto X) Xa2) Y) (=> (@ (@ tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (@ (@ tptp.product_Pair_int_int X) Xa2)) (not (=> (and (=> (@ (@ tptp.ord_less_eq_int X) Xa2) (= Y (@ (@ tptp.cons_int X) (@ (@ tptp.upto (@ (@ tptp.plus_plus_int X) tptp.one_one_int)) Xa2)))) (=> (not (@ (@ tptp.ord_less_eq_int X) Xa2)) (= Y tptp.nil_int))) (not (@ (@ tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (@ (@ tptp.product_Pair_int_int X) Xa2)))))))))
% 14.05/14.30 (assume a10025 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (G (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((X5 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real A) X5) (@ (@ tptp.ord_less_eq_real X5) B)) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) F))) (=> (forall ((X5 tptp.real)) (=> (and (@ (@ tptp.ord_less_real A) X5) (@ (@ tptp.ord_less_real X5) B)) (@ (@ tptp.differ6690327859849518006l_real F) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)))) (=> (forall ((X5 tptp.real)) (=> (and (@ (@ tptp.ord_less_eq_real A) X5) (@ (@ tptp.ord_less_eq_real X5) B)) (@ (@ tptp.topolo4422821103128117721l_real (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) G))) (=> (forall ((X5 tptp.real)) (=> (and (@ (@ tptp.ord_less_real A) X5) (@ (@ tptp.ord_less_real X5) B)) (@ (@ tptp.differ6690327859849518006l_real G) (@ (@ tptp.topolo2177554685111907308n_real X5) 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.ord_less_real A) C3) (@ (@ tptp.ord_less_real C3) B) (= (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real (@ F B)) (@ F A))) G_c) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real (@ G B)) (@ G A))) F_c)))))))))))
% 14.05/14.30 (assume a10026 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (@ (@ tptp.differ6690327859849518006l_real F) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (exists ((L4 tptp.real) (Z4 tptp.real)) (and (@ (@ tptp.ord_less_real A) Z4) (@ (@ tptp.ord_less_real Z4) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) L4) (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real)) (= (@ (@ tptp.minus_minus_real (@ F B)) (@ F A)) (@ (@ tptp.times_times_real (@ (@ tptp.minus_minus_real B) A)) L4)))))))))
% 14.05/14.30 (assume a10027 (forall ((A2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) (@ tptp.set_ord_atLeast_real tptp.one_one_real)) (@ (@ tptp.topolo5044208981011980120l_real A2) tptp.arcosh_real))))
% 14.05/14.30 (assume a10028 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.topolo5044208981011980120l_real A2) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.ord_less_eq_real tptp.one_one_real) (@ F X5)))) (@ (@ tptp.topolo5044208981011980120l_real A2) (lambda ((X2 tptp.real)) (@ tptp.arcosh_real (@ F X2))))))))
% 14.05/14.30 (assume a10029 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_eq_real A) B) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (exists ((C3 tptp.real) (D3 tptp.real)) (and (= (@ (@ tptp.image_real_real F) (@ (@ tptp.set_or1222579329274155063t_real A) B)) (@ (@ tptp.set_or1222579329274155063t_real C3) D3)) (@ (@ tptp.ord_less_eq_real C3) D3)))))))
% 14.05/14.30 (assume a10030 (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)) tptp.arccos))
% 14.05/14.30 (assume a10031 (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)) tptp.arcsin))
% 14.05/14.30 (assume a10032 (forall ((A2 tptp.set_real)) (=> (@ (@ tptp.ord_less_eq_set_real A2) (@ (@ tptp.set_or1633881224788618240n_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)) (@ (@ tptp.topolo5044208981011980120l_real A2) tptp.artanh_real))))
% 14.05/14.30 (assume a10033 (forall ((A2 tptp.set_real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.topolo5044208981011980120l_real A2) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.member_real X5) A2) (@ (@ tptp.member_real (@ F X5)) (@ (@ tptp.set_or1633881224788618240n_real (@ tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)))) (@ (@ tptp.topolo5044208981011980120l_real A2) (lambda ((X2 tptp.real)) (@ tptp.artanh_real (@ F X2))))))))
% 14.05/14.30 (assume a10034 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F A) (@ F B)) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (@ (@ (@ tptp.has_de1759254742604945161l_real F) (@ F6 X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (exists ((Z4 tptp.real)) (and (@ (@ tptp.ord_less_real A) Z4) (@ (@ tptp.ord_less_real Z4) B) (= (@ F6 Z4) (lambda ((V4 tptp.real)) tptp.zero_zero_real))))))))))
% 14.05/14.30 (assume a10035 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (@ (@ (@ tptp.has_de1759254742604945161l_real F) (@ F6 X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (not (forall ((Xi tptp.real)) (=> (@ (@ tptp.ord_less_real A) Xi) (=> (@ (@ tptp.ord_less_real Xi) B) (not (= (@ (@ tptp.minus_minus_real (@ F B)) (@ F A)) (@ (@ F6 Xi) (@ (@ tptp.minus_minus_real B) A)))))))))))))
% 14.05/14.30 (assume a10036 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) Y2)))))) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (@ (@ tptp.ord_less_real (@ F A)) (@ F B)))))))
% 14.05/14.30 (assume a10037 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (exists ((Y2 tptp.real)) (and (@ (@ (@ tptp.has_fi5821293074295781190e_real F) Y2) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real)) (@ (@ tptp.ord_less_real Y2) tptp.zero_zero_real)))))) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (@ (@ tptp.ord_less_real (@ F B)) (@ F A)))))))
% 14.05/14.30 (assume a10038 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) tptp.zero_zero_real) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (= (@ F B) (@ F A)))))))
% 14.05/14.30 (assume a10039 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real)) (X tptp.real)) (=> (@ (@ tptp.ord_less_real A) B) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) tptp.zero_zero_real) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (=> (@ (@ tptp.ord_less_eq_real A) X) (=> (@ (@ tptp.ord_less_eq_real X) B) (= (@ F X) (@ F A)))))))))
% 14.05/14.30 (assume a10040 (forall ((A tptp.real) (B tptp.real) (F (-> tptp.real tptp.real))) (=> (@ (@ tptp.ord_less_real A) B) (=> (= (@ F A) (@ F B)) (=> (@ (@ tptp.topolo5044208981011980120l_real (@ (@ tptp.set_or1222579329274155063t_real A) B)) F) (=> (forall ((X5 tptp.real)) (=> (@ (@ tptp.ord_less_real A) X5) (=> (@ (@ tptp.ord_less_real X5) B) (@ (@ tptp.differ6690327859849518006l_real F) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))))) (exists ((Z4 tptp.real)) (and (@ (@ tptp.ord_less_real A) Z4) (@ (@ tptp.ord_less_real Z4) B) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) tptp.zero_zero_real) (@ (@ tptp.topolo2177554685111907308n_real Z4) tptp.top_top_set_real))))))))))
% 14.05/14.30 (assume a10041 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int N2))) (@ (@ (@ tptp.case_option_int_num tptp.zero_zero_int) (lambda ((Q4 tptp.num)) (@ (@ tptp.bit_se2923211474154528505it_int (@ tptp.numeral_numeral_nat M)) (@ (@ tptp.minus_minus_int (@ (@ tptp.power_power_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.numeral_numeral_nat M))) (@ tptp.numeral_numeral_int Q4))))) (@ (@ tptp.bit_take_bit_num (@ tptp.numeral_numeral_nat M)) N2)))))
% 14.05/14.30 (assume a10042 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ (@ (@ tptp.case_option_int_num tptp.zero_zero_int) tptp.numeral_numeral_int) (@ (@ tptp.bit_and_not_num M) (@ tptp.bitM N2))))))
% 14.05/14.30 (assume a10043 (forall ((M tptp.num)) (= (@ (@ tptp.bit_take_bit_num tptp.zero_zero_nat) M) tptp.none_num)))
% 14.05/14.30 (assume a10044 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_take_bit_num (@ tptp.suc N2)) tptp.one) (@ tptp.some_num tptp.one))))
% 14.05/14.30 (assume a10045 (forall ((R tptp.num)) (= (@ (@ tptp.bit_take_bit_num (@ tptp.numeral_numeral_nat R)) tptp.one) (@ tptp.some_num tptp.one))))
% 14.05/14.30 (assume a10046 (forall ((N2 tptp.nat) (M tptp.num)) (= (@ (@ tptp.bit_take_bit_num (@ tptp.suc N2)) (@ tptp.bit0 M)) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) (lambda ((Q4 tptp.num)) (@ tptp.some_num (@ tptp.bit0 Q4)))) (@ (@ tptp.bit_take_bit_num N2) M)))))
% 14.05/14.30 (assume a10047 (forall ((N2 tptp.nat) (M tptp.num)) (= (@ (@ tptp.bit_take_bit_num (@ tptp.suc N2)) (@ tptp.bit1 M)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num N2) M))))))
% 14.05/14.30 (assume a10048 (forall ((R tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_take_bit_num (@ tptp.numeral_numeral_nat R)) (@ tptp.bit0 M)) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) (lambda ((Q4 tptp.num)) (@ tptp.some_num (@ tptp.bit0 Q4)))) (@ (@ tptp.bit_take_bit_num (@ tptp.pred_numeral R)) M)))))
% 14.05/14.30 (assume a10049 (forall ((R tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_take_bit_num (@ tptp.numeral_numeral_nat R)) (@ tptp.bit1 M)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num (@ tptp.pred_numeral R)) M))))))
% 14.05/14.30 (assume a10050 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ 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.bit0 N2))))))
% 14.05/14.30 (assume a10051 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit1 N2)))) (@ (@ (@ tptp.case_option_int_num tptp.zero_zero_int) tptp.numeral_numeral_int) (@ (@ tptp.bit_and_not_num M) (@ tptp.bit0 N2))))))
% 14.05/14.30 (assume a10052 (forall ((N2 tptp.num) (M tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.uminus_uminus_int (@ tptp.numeral_numeral_int (@ tptp.bit0 N2)))) (@ 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.bitM N2))))))
% 14.05/14.30 (assume a10053 (forall ((N2 tptp.nat) (M tptp.num)) (= (@ (@ tptp.bit_take_bit_num N2) (@ tptp.bit0 M)) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (lambda ((N tptp.nat)) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) (lambda ((Q4 tptp.num)) (@ tptp.some_num (@ tptp.bit0 Q4)))) (@ (@ tptp.bit_take_bit_num N) M)))) N2))))
% 14.05/14.30 (assume a10054 (= (@ (@ tptp.bit_and_not_num tptp.one) tptp.one) tptp.none_num))
% 14.05/14.30 (assume a10055 (forall ((N2 tptp.nat)) (= (@ (@ tptp.bit_take_bit_num N2) tptp.one) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (lambda ((N tptp.nat)) (@ tptp.some_num tptp.one))) N2))))
% 14.05/14.30 (assume a10056 (forall ((M tptp.num)) (= (@ (@ tptp.bit_and_not_num (@ tptp.bit0 M)) tptp.one) (@ tptp.some_num (@ tptp.bit0 M)))))
% 14.05/14.30 (assume a10057 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_and_not_num tptp.one) (@ tptp.bit0 N2)) (@ tptp.some_num tptp.one))))
% 14.05/14.30 (assume a10058 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_and_not_num tptp.one) (@ tptp.bit1 N2)) tptp.none_num)))
% 14.05/14.30 (assume a10059 (forall ((N2 tptp.nat) (M tptp.num)) (= (@ (@ tptp.bit_take_bit_num N2) (@ tptp.bit1 M)) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (lambda ((N tptp.nat)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num N) M))))) N2))))
% 14.05/14.30 (assume a10060 (forall ((M tptp.num)) (= (@ (@ tptp.bit_and_not_num (@ tptp.bit1 M)) tptp.one) (@ tptp.some_num (@ tptp.bit0 M)))))
% 14.05/14.30 (assume a10061 (forall ((M tptp.num) (N2 tptp.num) (Q2 tptp.num)) (= (= (@ (@ tptp.bit_and_not_num M) N2) (@ tptp.some_num Q2)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))) (@ tptp.numeral_numeral_int Q2)))))
% 14.05/14.30 (assume a10062 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_and_not_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ (@ (@ tptp.case_o6005452278849405969um_num (@ tptp.some_num tptp.one)) (lambda ((N10 tptp.num)) (@ tptp.some_num (@ tptp.bit1 N10)))) (@ (@ tptp.bit_and_not_num M) N2)))))
% 14.05/14.30 (assume a10063 (forall ((M tptp.num) (N2 tptp.num)) (= (= (@ (@ tptp.bit_and_not_num M) N2) tptp.none_num) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))) tptp.zero_zero_int))))
% 14.05/14.30 (assume a10064 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int M))) (@ tptp.numeral_numeral_int N2)) (@ (@ (@ tptp.case_option_int_num tptp.zero_zero_int) tptp.numeral_numeral_int) (@ (@ tptp.bit_and_not_num N2) M)))))
% 14.05/14.30 (assume a10065 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_se725231765392027082nd_int (@ tptp.numeral_numeral_int M)) (@ tptp.bit_ri7919022796975470100ot_int (@ tptp.numeral_numeral_int N2))) (@ (@ (@ tptp.case_option_int_num tptp.zero_zero_int) tptp.numeral_numeral_int) (@ (@ tptp.bit_and_not_num M) N2)))))
% 14.05/14.30 (assume a10066 (= tptp.bit_take_bit_num (lambda ((N tptp.nat) (M6 tptp.num)) (@ (@ (@ tptp.if_option_num (= (@ (@ tptp.bit_se2925701944663578781it_nat N) (@ tptp.numeral_numeral_nat M6)) tptp.zero_zero_nat)) tptp.none_num) (@ tptp.some_num (@ tptp.num_of_nat (@ (@ tptp.bit_se2925701944663578781it_nat N) (@ tptp.numeral_numeral_nat M6))))))))
% 14.05/14.30 (assume a10067 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_VEBT_valid X) Xa2) Y) (=> (=> (exists ((Uu2 Bool) (Uv2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2))) (= Y (not (= Xa2 tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) (= Y (not (and (= Deg2 Xa2) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_VEBT_valid X2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary2) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima)))))))))))
% 14.05/14.30 (assume a10068 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ tptp.vEBT_VEBT_valid X) Xa2) (=> (=> (exists ((Uu2 Bool) (Uv2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2))) (not (= Xa2 tptp.one_one_nat))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) (not (and (= Deg2 Xa2) (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_VEBT_valid X3) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary2) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima))))))))))
% 14.05/14.30 (assume a10069 (forall ((Mima2 tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Deg4 tptp.nat)) (= (@ (@ tptp.vEBT_VEBT_valid (@ (@ (@ (@ tptp.vEBT_Node Mima2) Deg) TreeList2) Summary)) Deg4) (and (= Deg Deg4) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList2)) (@ (@ tptp.vEBT_VEBT_valid X2) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary) (@ (@ tptp.minus_minus_nat Deg) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg) (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList2) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList2)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList2) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList2) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima2)))))
% 14.05/14.30 (assume a10070 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_VEBT_valid X) Xa2)) (=> (=> (exists ((Uu2 Bool) (Uv2 Bool)) (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2))) (= Xa2 tptp.one_one_nat)) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) (and (= Deg2 Xa2) (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_VEBT_valid X5) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary2) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima)))))))))
% 14.05/14.30 (assume a10071 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (@ (@ tptp.vEBT_VEBT_valid X) Xa2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((Uu2 Bool) (Uv2 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) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) Xa2)) (and (= Deg2 Xa2) (forall ((X5 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X5) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_VEBT_valid X5) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary2) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima)))))))))))
% 14.05/14.30 (assume a10072 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (@ (@ tptp.vEBT_VEBT_valid X) Xa2) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((Uu2 Bool) (Uv2 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) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) Xa2)) (not (and (= Deg2 Xa2) (forall ((X3 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X3) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_VEBT_valid X3) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary2) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima))))))))))))
% 14.05/14.30 (assume a10073 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y Bool)) (=> (= (@ (@ tptp.vEBT_VEBT_valid X) Xa2) Y) (=> (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel) (@ (@ tptp.produc738532404422230701BT_nat X) Xa2)) (=> (forall ((Uu2 Bool) (Uv2 Bool)) (=> (= X (@ (@ tptp.vEBT_Leaf Uu2) Uv2)) (=> (= 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) (TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) (=> (= Y (and (= Deg2 Xa2) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (@ (@ tptp.vEBT_VEBT_valid X2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ tptp.vEBT_VEBT_valid Summary2) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))) (= (@ tptp.size_s6755466524823107622T_VEBT TreeList3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ (@ (@ tptp.case_o184042715313410164at_nat (and (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) X4))) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4))))))) (@ tptp.produc6081775807080527818_nat_o (lambda ((Mi3 tptp.nat) (Ma3 tptp.nat)) (and (@ (@ tptp.ord_less_eq_nat Mi3) Ma3) (@ (@ tptp.ord_less_nat Ma3) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat I5) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.minus_minus_nat Deg2) (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (= (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions (@ (@ tptp.nth_VEBT_VEBT TreeList3) I5)) X4)) (@ (@ tptp.vEBT_V8194947554948674370ptions Summary2) I5)))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (@ (@ tptp.member_VEBT_VEBT X2) (@ tptp.set_VEBT_VEBT2 TreeList3)) (not (exists ((X4 tptp.nat)) (@ (@ tptp.vEBT_V8194947554948674370ptions X2) X4)))))) (=> (not (= Mi3 Ma3)) (and (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) Ma3) (forall ((X2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat X2) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Deg2)) (=> (@ (@ (@ tptp.vEBT_V5917875025757280293ildren (@ (@ tptp.divide_divide_nat Deg2) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) TreeList3) X2) (and (@ (@ tptp.ord_less_nat Mi3) X2) (@ (@ tptp.ord_less_eq_nat X2) Ma3))))))))))) Mima))) (not (@ (@ tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel) (@ (@ tptp.produc738532404422230701BT_nat (@ (@ (@ (@ tptp.vEBT_Node Mima) Deg2) TreeList3) Summary2)) Xa2))))))))))))
% 14.05/14.30 (assume a10074 (= tptp.bit_take_bit_num (lambda ((N tptp.nat) (M6 tptp.num)) (@ (@ tptp.produc478579273971653890on_num (lambda ((A4 tptp.nat) (X2 tptp.num)) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (lambda ((O tptp.nat)) (@ (@ (@ (@ tptp.case_num_option_num (@ tptp.some_num tptp.one)) (lambda ((P4 tptp.num)) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) (lambda ((Q4 tptp.num)) (@ tptp.some_num (@ tptp.bit0 Q4)))) (@ (@ tptp.bit_take_bit_num O) P4)))) (lambda ((P4 tptp.num)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num O) P4))))) X2))) A4))) (@ (@ tptp.product_Pair_nat_num N) M6)))))
% 14.05/14.30 (assume a10075 (@ tptp.order_mono_nat_nat tptp.suc))
% 14.05/14.30 (assume a10076 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ tptp.order_mono_nat_nat (@ tptp.times_times_nat N2)))))
% 14.05/14.30 (assume a10077 (forall ((X8 (-> tptp.nat tptp.real)) (B2 tptp.real)) (=> (@ tptp.order_mono_nat_real X8) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X8 I4)) B2)) (@ (@ tptp.bfun_nat_real X8) tptp.at_top_nat)))))
% 14.05/14.30 (assume a10078 (forall ((X8 (-> tptp.nat tptp.real)) (B2 tptp.real)) (=> (@ tptp.order_mono_nat_real X8) (=> (forall ((I4 tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X8 I4)) B2)) (not (forall ((L6 tptp.real)) (=> (@ (@ (@ tptp.filterlim_nat_real X8) (@ tptp.topolo2815343760600316023s_real L6)) tptp.at_top_nat) (not (forall ((I tptp.nat)) (@ (@ tptp.ord_less_eq_real (@ X8 I)) L6))))))))))
% 14.05/14.30 (assume a10079 (forall ((K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) K) (@ tptp.order_mono_nat_nat (lambda ((M6 tptp.nat)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.power_power_nat K) M6)) M6))))))
% 14.05/14.30 (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 ((N4 tptp.num)) (= Xa2 (@ tptp.bit0 N4))) (not (= Y (@ tptp.some_num tptp.one))))) (=> (=> (= X tptp.one) (=> (exists ((N4 tptp.num)) (= Xa2 (@ tptp.bit1 N4))) (not (= Y tptp.none_num)))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (=> (= Xa2 tptp.one) (not (= Y (@ tptp.some_num (@ tptp.bit0 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_and_not_num M5) N4)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_and_not_num M5) N4)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (=> (= Xa2 tptp.one) (not (= Y (@ tptp.some_num (@ tptp.bit0 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ (@ (@ tptp.case_o6005452278849405969um_num (@ tptp.some_num tptp.one)) (lambda ((N10 tptp.num)) (@ tptp.some_num (@ tptp.bit1 N10)))) (@ (@ tptp.bit_and_not_num M5) N4)))))))) (not (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_and_not_num M5) N4))))))))))))))))))))
% 14.05/14.30 (assume a10081 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.nat))) (=> (forall ((X5 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5))) (=> (@ tptp.order_mono_nat_real F) (=> (@ tptp.order_5726023648592871131at_nat G) (= (@ (@ tptp.bfun_nat_real (lambda ((X2 tptp.nat)) (@ F (@ G X2)))) tptp.at_top_nat) (@ (@ tptp.bfun_nat_real F) tptp.at_top_nat)))))))
% 14.05/14.30 (assume a10082 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_and_not_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_and_not_num M) N2)))))
% 14.05/14.30 (assume a10083 (forall ((F (-> tptp.nat tptp.nat)) (N2 tptp.nat)) (=> (@ tptp.order_5726023648592871131at_nat F) (@ (@ tptp.ord_less_eq_nat N2) (@ F N2)))))
% 14.05/14.30 (assume a10084 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_and_not_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_and_not_num M) N2)))))
% 14.05/14.30 (assume a10085 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_and_not_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_and_not_num M) N2)))))
% 14.05/14.30 (assume a10086 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.option_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 ((N4 tptp.num)) (= Xa2 (@ tptp.bit0 N4))) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (=> (exists ((N4 tptp.num)) (= Xa2 (@ tptp.bit1 N4))) (not (= Y (@ tptp.some_num tptp.one))))) (=> (=> (exists ((M5 tptp.num)) (= X (@ tptp.bit0 M5))) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un7362597486090784418nd_num M5) N4)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un7362597486090784418nd_num M5) N4)))))))) (=> (=> (exists ((M5 tptp.num)) (= X (@ tptp.bit1 M5))) (=> (= Xa2 tptp.one) (not (= Y (@ tptp.some_num tptp.one))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un7362597486090784418nd_num M5) N4)))))))) (not (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ (@ (@ tptp.case_o6005452278849405969um_num (@ tptp.some_num tptp.one)) (lambda ((N10 tptp.num)) (@ tptp.some_num (@ tptp.bit1 N10)))) (@ (@ tptp.bit_un7362597486090784418nd_num M5) N4))))))))))))))))))))
% 14.05/14.30 (assume a10087 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (@ (@ tptp.bit_un2480387367778600638or_num X) Xa2) Y) (=> (=> (= X tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ tptp.some_num (@ tptp.bit1 N4))))))) (=> (=> (= X tptp.one) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ tptp.some_num (@ tptp.bit0 N4))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (=> (= Xa2 tptp.one) (not (= Y (@ tptp.some_num (@ tptp.bit1 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un2480387367778600638or_num M5) N4)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit0 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_un2480387367778600638or_num M5) N4))))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (=> (= Xa2 tptp.one) (not (= Y (@ tptp.some_num (@ tptp.bit0 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit0 N4)) (not (= Y (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_un2480387367778600638or_num M5) N4))))))))) (not (forall ((M5 tptp.num)) (=> (= X (@ tptp.bit1 M5)) (forall ((N4 tptp.num)) (=> (= Xa2 (@ tptp.bit1 N4)) (not (= Y (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un2480387367778600638or_num M5) N4))))))))))))))))))))
% 14.05/14.30 (assume a10088 (= (@ (@ tptp.bit_un7362597486090784418nd_num tptp.one) tptp.one) (@ tptp.some_num tptp.one)))
% 14.05/14.30 (assume a10089 (= (@ (@ tptp.bit_un2480387367778600638or_num tptp.one) tptp.one) tptp.none_num))
% 14.05/14.30 (assume a10090 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un2480387367778600638or_num M) N2)))))
% 14.05/14.30 (assume a10091 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num (@ tptp.bit0 M)) (@ tptp.bit0 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un7362597486090784418nd_num M) N2)))))
% 14.05/14.30 (assume a10092 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num tptp.one) (@ tptp.bit1 N2)) (@ tptp.some_num tptp.one))))
% 14.05/14.30 (assume a10093 (forall ((M tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num (@ tptp.bit1 M)) tptp.one) (@ tptp.some_num tptp.one))))
% 14.05/14.30 (assume a10094 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num tptp.one) (@ tptp.bit0 N2)) tptp.none_num)))
% 14.05/14.30 (assume a10095 (forall ((M tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num (@ tptp.bit0 M)) tptp.one) tptp.none_num)))
% 14.05/14.30 (assume a10096 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un7362597486090784418nd_num M) N2)))))
% 14.05/14.30 (assume a10097 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un7362597486090784418nd_num M) N2)))))
% 14.05/14.30 (assume a10098 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ tptp.map_option_num_num tptp.bit0) (@ (@ tptp.bit_un2480387367778600638or_num M) N2)))))
% 14.05/14.30 (assume a10099 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num tptp.one) (@ tptp.bit0 N2)) (@ tptp.some_num (@ tptp.bit1 N2)))))
% 14.05/14.30 (assume a10100 (forall ((N2 tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num tptp.one) (@ tptp.bit1 N2)) (@ tptp.some_num (@ tptp.bit0 N2)))))
% 14.05/14.30 (assume a10101 (forall ((M tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num (@ tptp.bit0 M)) tptp.one) (@ tptp.some_num (@ tptp.bit1 M)))))
% 14.05/14.30 (assume a10102 (forall ((M tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num (@ tptp.bit1 M)) tptp.one) (@ tptp.some_num (@ tptp.bit0 M)))))
% 14.05/14.30 (assume a10103 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un7362597486090784418nd_num (@ tptp.bit1 M)) (@ tptp.bit1 N2)) (@ (@ (@ tptp.case_o6005452278849405969um_num (@ tptp.some_num tptp.one)) (lambda ((N10 tptp.num)) (@ tptp.some_num (@ tptp.bit1 N10)))) (@ (@ tptp.bit_un7362597486090784418nd_num M) N2)))))
% 14.05/14.30 (assume a10104 (forall ((F (-> tptp.real tptp.real)) (F6 (-> tptp.real tptp.real))) (=> (forall ((X5 tptp.real)) (@ (@ (@ tptp.has_fi5821293074295781190e_real F) (@ F6 X5)) (@ (@ tptp.topolo2177554685111907308n_real X5) tptp.top_top_set_real))) (=> (forall ((X5 tptp.real)) (@ (@ tptp.ord_less_real tptp.zero_zero_real) (@ F6 X5))) (@ tptp.order_7092887310737990675l_real F)))))
% 14.05/14.30 (assume a10105 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num (@ tptp.bit0 M)) (@ tptp.bit1 N2)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_un2480387367778600638or_num M) N2))))))
% 14.05/14.30 (assume a10106 (forall ((M tptp.num) (N2 tptp.num)) (= (@ (@ tptp.bit_un2480387367778600638or_num (@ tptp.bit1 M)) (@ tptp.bit0 N2)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_un2480387367778600638or_num M) N2))))))
% 14.05/14.30 (assume a10107 (= tptp.bit_un2480387367778600638or_num tptp.bit_un6178654185764691216or_num))
% 14.05/14.30 (assume a10108 (= tptp.bit_un7362597486090784418nd_num tptp.bit_un1837492267222099188nd_num))
% 14.05/14.30 (assume a10109 (forall ((N2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N2) (@ (@ tptp.inj_on_real_real (lambda ((Y3 tptp.real)) (@ (@ tptp.times_times_real (@ tptp.sgn_sgn_real Y3)) (@ (@ tptp.power_power_real (@ tptp.abs_abs_real Y3)) N2)))) tptp.top_top_set_real))))
% 14.05/14.30 (assume a10110 (forall ((B tptp.real)) (=> (@ (@ tptp.ord_less_real tptp.one_one_real) B) (@ (@ tptp.inj_on_real_real (@ tptp.log B)) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 14.05/14.30 (assume a10111 (forall ((N3 tptp.set_nat)) (@ (@ tptp.inj_on_nat_nat tptp.suc) N3)))
% 14.05/14.30 (assume a10112 (forall ((N3 tptp.set_nat) (K tptp.nat)) (=> (forall ((N4 tptp.nat)) (=> (@ (@ tptp.member_nat N4) N3) (@ (@ tptp.ord_less_eq_nat K) N4))) (@ (@ tptp.inj_on_nat_nat (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_nat N) K))) N3))))
% 14.05/14.30 (assume a10113 (@ (@ tptp.inj_on_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))
% 14.05/14.30 (assume a10114 (= tptp.sup_sup_int tptp.ord_max_int))
% 14.05/14.30 (assume a10115 (= (@ (@ tptp.comp_nat_nat_nat tptp.suc) tptp.suc) (@ (@ tptp.comp_nat_nat_nat tptp.suc) tptp.suc)))
% 14.05/14.30 (assume a10116 (= tptp.sup_sup_nat tptp.ord_max_nat))
% 14.05/14.30 (assume a10117 (= tptp.sup_su3973961784419623482d_enat tptp.ord_ma741700101516333627d_enat))
% 14.05/14.30 (assume a10118 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.set_or4665077453230672383an_nat I2) (@ (@ tptp.plus_plus_nat J) K)) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.set_or4665077453230672383an_nat I2) J)) (@ (@ tptp.set_or4665077453230672383an_nat J) (@ (@ tptp.plus_plus_nat J) K)))))))
% 14.05/14.30 (assume a10119 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_real F) (=> (@ (@ tptp.inj_on_nat_nat G) tptp.top_top_set_nat) (=> (forall ((X5 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5))) (@ tptp.summable_real (@ (@ tptp.comp_nat_real_nat F) G)))))))
% 14.05/14.30 (assume a10120 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_real F) (=> (@ (@ tptp.inj_on_nat_nat G) tptp.top_top_set_nat) (=> (forall ((X5 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5))) (@ (@ tptp.ord_less_eq_real (@ tptp.suminf_real (@ (@ tptp.comp_nat_real_nat F) G))) (@ tptp.suminf_real F)))))))
% 14.05/14.30 (assume a10121 (forall ((F (-> tptp.nat tptp.real)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.summable_real F) (=> (@ (@ tptp.inj_on_nat_nat G) tptp.top_top_set_nat) (=> (forall ((X5 tptp.nat)) (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) (@ F X5))) (=> (forall ((X5 tptp.nat)) (=> (not (@ (@ tptp.member_nat X5) (@ (@ tptp.image_nat_nat G) tptp.top_top_set_nat))) (= (@ F X5) tptp.zero_zero_real))) (= (@ tptp.suminf_real (@ (@ tptp.comp_nat_real_nat F) G)) (@ tptp.suminf_real F))))))))
% 14.05/14.30 (assume a10122 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.remdups_nat (@ (@ tptp.upt M) N2)) (@ (@ tptp.upt M) N2))))
% 14.05/14.30 (assume a10123 (forall ((I2 tptp.nat) (J tptp.nat)) (= (@ tptp.size_size_list_nat (@ (@ tptp.upt I2) J)) (@ (@ tptp.minus_minus_nat J) I2))))
% 14.05/14.30 (assume a10124 (forall ((J tptp.nat) (I2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat J) I2) (= (@ (@ tptp.upt I2) J) tptp.nil_nat))))
% 14.05/14.30 (assume a10125 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.linord2614967742042102400et_nat (@ (@ tptp.set_or4665077453230672383an_nat M) N2)) (@ (@ tptp.upt M) N2))))
% 14.05/14.30 (assume a10126 (forall ((I2 tptp.nat) (J tptp.nat)) (= (= (@ (@ tptp.upt I2) J) tptp.nil_nat) (or (= J tptp.zero_zero_nat) (@ (@ tptp.ord_less_eq_nat J) I2)))))
% 14.05/14.30 (assume a10127 (forall ((I2 tptp.nat) (K tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat I2) K)) J) (= (@ (@ tptp.nth_nat (@ (@ tptp.upt I2) J)) K) (@ (@ tptp.plus_plus_nat I2) K)))))
% 14.05/14.30 (assume a10128 (forall ((M tptp.num) (N2 tptp.num)) (and (=> (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (= (@ (@ tptp.upt (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) (@ (@ tptp.cons_nat (@ tptp.numeral_numeral_nat M)) (@ (@ tptp.upt (@ tptp.suc (@ tptp.numeral_numeral_nat M))) (@ tptp.numeral_numeral_nat N2))))) (=> (not (@ (@ tptp.ord_less_nat (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2))) (= (@ (@ tptp.upt (@ tptp.numeral_numeral_nat M)) (@ tptp.numeral_numeral_nat N2)) tptp.nil_nat)))))
% 14.05/14.30 (assume a10129 (forall ((I2 tptp.nat)) (= (@ (@ tptp.upt I2) tptp.zero_zero_nat) tptp.nil_nat)))
% 14.05/14.30 (assume a10130 (= tptp.set_or5834768355832116004an_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ tptp.set_nat2 (@ (@ tptp.upt (@ tptp.suc N)) M6)))))
% 14.05/14.30 (assume a10131 (= tptp.set_ord_lessThan_nat (lambda ((N tptp.nat)) (@ tptp.set_nat2 (@ (@ tptp.upt tptp.zero_zero_nat) N)))))
% 14.05/14.30 (assume a10132 (= tptp.set_or4665077453230672383an_nat (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ tptp.set_nat2 (@ (@ tptp.upt I5) J3)))))
% 14.05/14.30 (assume a10133 (= tptp.set_or1269000886237332187st_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ tptp.set_nat2 (@ (@ tptp.upt N) (@ tptp.suc M6))))))
% 14.05/14.30 (assume a10134 (= tptp.set_or6659071591806873216st_nat (lambda ((N tptp.nat) (M6 tptp.nat)) (@ tptp.set_nat2 (@ (@ tptp.upt (@ tptp.suc N)) (@ tptp.suc M6))))))
% 14.05/14.30 (assume a10135 (forall ((M tptp.nat) (N2 tptp.nat) (Ns tptp.list_nat) (Q2 tptp.nat)) (= (= (@ (@ tptp.cons_nat M) (@ (@ tptp.cons_nat N2) Ns)) (@ (@ tptp.upt M) Q2)) (= (@ (@ tptp.cons_nat N2) Ns) (@ (@ tptp.upt (@ tptp.suc M)) Q2)))))
% 14.05/14.30 (assume a10136 (forall ((I2 tptp.nat) (J tptp.nat)) (@ tptp.distinct_nat (@ (@ tptp.upt I2) J))))
% 14.05/14.30 (assume a10137 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.map_nat_nat (lambda ((I5 tptp.nat)) (@ (@ tptp.plus_plus_nat I5) N2))) (@ (@ tptp.upt tptp.zero_zero_nat) M)) (@ (@ tptp.upt N2) (@ (@ tptp.plus_plus_nat M) N2)))))
% 14.05/14.30 (assume a10138 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.map_nat_nat tptp.suc) (@ (@ tptp.upt M) N2)) (@ (@ tptp.upt (@ tptp.suc M)) (@ tptp.suc N2)))))
% 14.05/14.30 (assume a10139 (= tptp.set_ord_atMost_nat (lambda ((N tptp.nat)) (@ tptp.set_nat2 (@ (@ tptp.upt tptp.zero_zero_nat) (@ tptp.suc N))))))
% 14.05/14.30 (assume a10140 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (= (@ (@ tptp.upt I2) J) (@ (@ tptp.cons_nat I2) (@ (@ tptp.upt (@ tptp.suc I2)) J))))))
% 14.05/14.30 (assume a10141 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.map_nat_nat (lambda ((N tptp.nat)) (@ (@ tptp.minus_minus_nat N) (@ tptp.suc tptp.zero_zero_nat)))) (@ (@ tptp.upt (@ tptp.suc M)) (@ tptp.suc N2))) (@ (@ tptp.upt M) N2))))
% 14.05/14.30 (assume a10142 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.upt I2) (@ (@ tptp.plus_plus_nat J) K)) (@ (@ tptp.append_nat (@ (@ tptp.upt I2) J)) (@ (@ tptp.upt J) (@ (@ tptp.plus_plus_nat J) K)))))))
% 14.05/14.30 (assume a10143 (forall ((I2 tptp.nat) (J tptp.nat) (X tptp.nat) (Xs2 tptp.list_nat)) (= (= (@ (@ tptp.upt I2) J) (@ (@ tptp.cons_nat X) Xs2)) (and (@ (@ tptp.ord_less_nat I2) J) (= I2 X) (= (@ (@ tptp.upt (@ (@ tptp.plus_plus_nat I2) tptp.one_one_nat)) J) Xs2)))))
% 14.05/14.30 (assume a10144 (= tptp.upt (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ (@ tptp.if_list_nat (@ (@ tptp.ord_less_nat I5) J3)) (@ (@ tptp.cons_nat I5) (@ (@ tptp.upt (@ tptp.suc I5)) J3))) tptp.nil_nat))))
% 14.05/14.30 (assume a10145 (forall ((I2 tptp.nat) (J tptp.nat)) (and (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.upt I2) (@ tptp.suc J)) (@ (@ tptp.append_nat (@ (@ tptp.upt I2) J)) (@ (@ tptp.cons_nat J) tptp.nil_nat)))) (=> (not (@ (@ tptp.ord_less_eq_nat I2) J)) (= (@ (@ tptp.upt I2) (@ tptp.suc J)) tptp.nil_nat)))))
% 14.05/14.30 (assume a10146 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat I2) J) (= (@ (@ tptp.upt I2) (@ tptp.suc J)) (@ (@ tptp.append_nat (@ (@ tptp.upt I2) J)) (@ (@ tptp.cons_nat J) tptp.nil_nat))))))
% 14.05/14.30 (assume a10147 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat M) N2) (= (@ tptp.groups4561878855575611511st_nat (@ (@ tptp.upt M) N2)) (@ (@ tptp.groups3542108847815614940at_nat (lambda ((X2 tptp.nat)) X2)) (@ (@ tptp.set_or4665077453230672383an_nat M) N2))))))
% 14.05/14.30 (assume a10148 (forall ((M tptp.nat) (N3 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat tptp.one_one_nat) M) (= (@ tptp.finite_card_list_nat (@ tptp.collect_list_nat (lambda ((L tptp.list_nat)) (and (= (@ tptp.size_size_list_nat L) M) (= (@ tptp.groups4561878855575611511st_nat L) N3))))) (@ (@ tptp.plus_plus_nat (@ tptp.finite_card_list_nat (@ tptp.collect_list_nat (lambda ((L tptp.list_nat)) (and (= (@ tptp.size_size_list_nat L) (@ (@ tptp.minus_minus_nat M) tptp.one_one_nat)) (= (@ tptp.groups4561878855575611511st_nat L) N3)))))) (@ tptp.finite_card_list_nat (@ tptp.collect_list_nat (lambda ((L tptp.list_nat)) (and (= (@ tptp.size_size_list_nat L) M) (= (@ (@ tptp.plus_plus_nat (@ tptp.groups4561878855575611511st_nat L)) tptp.one_one_nat) N3))))))))))
% 14.05/14.30 (assume a10149 (forall ((M tptp.nat) (N3 tptp.nat)) (= (@ tptp.finite_card_list_nat (@ tptp.collect_list_nat (lambda ((L tptp.list_nat)) (and (= (@ tptp.size_size_list_nat L) M) (= (@ tptp.groups4561878855575611511st_nat L) N3))))) (@ (@ tptp.binomial (@ (@ tptp.minus_minus_nat (@ (@ tptp.plus_plus_nat N3) M)) tptp.one_one_nat)) N3))))
% 14.05/14.30 (assume a10150 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.sorted_wrt_nat tptp.ord_less_eq_nat) (@ (@ tptp.upt M) N2))))
% 14.05/14.30 (assume a10151 (forall ((M tptp.nat) (N2 tptp.nat)) (@ (@ tptp.sorted_wrt_nat tptp.ord_less_nat) (@ (@ tptp.upt M) N2))))
% 14.05/14.30 (assume a10152 (forall ((Ns tptp.list_nat) (I2 tptp.nat)) (=> (@ (@ tptp.sorted_wrt_nat tptp.ord_less_nat) Ns) (=> (@ (@ tptp.ord_less_nat I2) (@ tptp.size_size_list_nat Ns)) (@ (@ tptp.ord_less_eq_nat I2) (@ (@ tptp.nth_nat Ns) I2))))))
% 14.05/14.30 (assume a10153 (forall ((I2 tptp.int) (J tptp.int)) (@ (@ tptp.sorted_wrt_int tptp.ord_less_int) (@ (@ tptp.upto I2) J))))
% 14.05/14.30 (assume a10154 (forall ((M tptp.int) (N2 tptp.int)) (@ (@ tptp.sorted_wrt_int tptp.ord_less_eq_int) (@ (@ tptp.upto M) N2))))
% 14.05/14.30 (assume a10155 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ tptp.tl_nat (@ (@ tptp.upt M) N2)) (@ (@ tptp.upt (@ tptp.suc M)) N2))))
% 14.05/14.30 (assume a10156 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.ord_less_nat I2) J) (= (@ tptp.hd_nat (@ (@ tptp.upt I2) J)) I2))))
% 14.05/14.30 (assume a10157 (forall ((X tptp.real) (N2 tptp.int)) (=> (@ (@ tptp.ord_less_eq_real tptp.zero_zero_real) X) (=> (or (not (= X tptp.zero_zero_real)) (@ (@ tptp.ord_less_int tptp.zero_zero_int) N2)) (= (@ (@ tptp.powr_real X) (@ tptp.ring_1_of_int_real N2)) (@ (@ tptp.power_int_real X) N2))))))
% 14.05/14.30 (assume a10158 (= tptp.topolo1511823702728130853y_real (@ tptp.comple2936214249959783750l_real (@ (@ tptp.image_2178119161166701260l_real (lambda ((E3 tptp.real)) (@ tptp.princi6114159922880469582l_real (@ tptp.collec3799799289383736868l_real (@ tptp.produc5414030515140494994real_o (lambda ((X2 tptp.real) (Y3 tptp.real)) (@ (@ tptp.ord_less_real (@ (@ tptp.real_V975177566351809787t_real X2) Y3)) E3))))))) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 14.05/14.30 (assume a10159 (= tptp.topolo896644834953643431omplex (@ tptp.comple8358262395181532106omplex (@ (@ tptp.image_5971271580939081552omplex (lambda ((E3 tptp.real)) (@ tptp.princi3496590319149328850omplex (@ tptp.collec8663557070575231912omplex (@ tptp.produc6771430404735790350plex_o (lambda ((X2 tptp.complex) (Y3 tptp.complex)) (@ (@ tptp.ord_less_real (@ (@ tptp.real_V3694042436643373181omplex X2) Y3)) E3))))))) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 14.05/14.30 (assume a10160 (forall ((M tptp.nat)) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((I5 tptp.nat) (J3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I5) J3)) M)))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.set_ord_atMost_nat M)) (lambda ((R4 tptp.nat)) (@ tptp.set_ord_atMost_nat (@ (@ tptp.minus_minus_nat M) R4)))))))
% 14.05/14.30 (assume a10161 (forall ((P (-> tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.eventu1038000079068216329at_nat P) (@ (@ tptp.prod_filter_nat_nat tptp.at_top_nat) tptp.at_top_nat)) (exists ((N6 tptp.nat)) (forall ((M6 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N6) M6) (forall ((N tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat N6) N) (@ P (@ (@ tptp.product_Pair_nat_nat N) M6))))))))))
% 14.05/14.30 (assume a10162 (= tptp.pred_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((M6 tptp.nat) (N tptp.nat)) (= N (@ tptp.suc M6)))))))
% 14.05/14.30 (assume a10163 (forall ((A tptp.real)) (= (@ (@ tptp.topolo2177554685111907308n_real A) (@ tptp.set_or5849166863359141190n_real A)) (@ (@ tptp.filtermap_real_real (lambda ((X2 tptp.real)) (@ (@ tptp.plus_plus_real X2) A))) (@ (@ tptp.topolo2177554685111907308n_real tptp.zero_zero_real) (@ tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 14.05/14.30 (assume a10164 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat M) N2)) (@ tptp.transi6264000038957366511cl_nat tptp.pred_nat)) (@ (@ tptp.ord_less_nat M) N2))))
% 14.05/14.30 (assume a10165 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat M) N2)) (@ tptp.transi2905341329935302413cl_nat tptp.pred_nat)) (@ (@ tptp.ord_less_eq_nat M) N2))))
% 14.05/14.30 (assume a10166 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_min_nat (@ tptp.suc M)) (@ tptp.suc N2)) (@ tptp.suc (@ (@ tptp.ord_min_nat M) N2)))))
% 14.05/14.30 (assume a10167 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_min_nat tptp.zero_zero_nat) N2) tptp.zero_zero_nat)))
% 14.05/14.30 (assume a10168 (forall ((N2 tptp.nat)) (= (@ (@ tptp.ord_min_nat N2) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 14.05/14.30 (assume a10169 (forall ((N2 tptp.nat) (K tptp.num)) (= (@ (@ tptp.ord_min_nat (@ tptp.suc N2)) (@ tptp.numeral_numeral_nat K)) (@ tptp.suc (@ (@ tptp.ord_min_nat N2) (@ tptp.pred_numeral K))))))
% 14.05/14.30 (assume a10170 (forall ((K tptp.num) (N2 tptp.nat)) (= (@ (@ tptp.ord_min_nat (@ tptp.numeral_numeral_nat K)) (@ tptp.suc N2)) (@ tptp.suc (@ (@ tptp.ord_min_nat (@ tptp.pred_numeral K)) N2)))))
% 14.05/14.30 (assume a10171 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.times_times_nat (@ (@ tptp.ord_min_nat M) N2)) Q2) (@ (@ tptp.ord_min_nat (@ (@ tptp.times_times_nat M) Q2)) (@ (@ tptp.times_times_nat N2) Q2)))))
% 14.05/14.30 (assume a10172 (forall ((M tptp.nat) (N2 tptp.nat) (Q2 tptp.nat)) (= (@ (@ tptp.times_times_nat M) (@ (@ tptp.ord_min_nat N2) Q2)) (@ (@ tptp.ord_min_nat (@ (@ tptp.times_times_nat M) N2)) (@ (@ tptp.times_times_nat M) Q2)))))
% 14.05/14.30 (assume a10173 (forall ((M tptp.nat) (I2 tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_min_nat (@ (@ tptp.minus_minus_nat M) I2)) (@ (@ tptp.minus_minus_nat N2) I2)) (@ (@ tptp.minus_minus_nat (@ (@ tptp.ord_min_nat M) N2)) I2))))
% 14.05/14.30 (assume a10174 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.int) (L2 tptp.int) (R tptp.int)) (= (@ (@ (@ tptp.bit_concat_bit M) (@ (@ (@ tptp.bit_concat_bit N2) K) L2)) R) (@ (@ (@ tptp.bit_concat_bit (@ (@ tptp.ord_min_nat M) N2)) K) (@ (@ (@ tptp.bit_concat_bit (@ (@ tptp.minus_minus_nat M) N2)) L2) R)))))
% 14.05/14.30 (assume a10175 (= tptp.inf_inf_nat tptp.ord_min_nat))
% 14.05/14.30 (assume a10176 (forall ((M tptp.nat) (N2 tptp.nat) (K tptp.int) (L2 tptp.int)) (= (@ (@ tptp.bit_se2923211474154528505it_int M) (@ (@ (@ tptp.bit_concat_bit N2) K) L2)) (@ (@ (@ tptp.bit_concat_bit (@ (@ tptp.ord_min_nat M) N2)) K) (@ (@ tptp.bit_se2923211474154528505it_int (@ (@ tptp.minus_minus_nat M) N2)) L2)))))
% 14.05/14.30 (assume a10177 (forall ((N2 tptp.nat) (M tptp.nat)) (= (@ (@ tptp.ord_min_nat (@ tptp.suc N2)) M) (@ (@ (@ tptp.case_nat_nat tptp.zero_zero_nat) (lambda ((M3 tptp.nat)) (@ tptp.suc (@ (@ tptp.ord_min_nat N2) M3)))) M))))
% 14.05/14.30 (assume a10178 (forall ((M tptp.nat) (N2 tptp.nat)) (= (@ (@ tptp.ord_min_nat M) (@ tptp.suc N2)) (@ (@ (@ tptp.case_nat_nat tptp.zero_zero_nat) (lambda ((M3 tptp.nat)) (@ tptp.suc (@ (@ tptp.ord_min_nat M3) N2)))) M))))
% 14.05/14.30 (assume a10179 (forall ((Q2 tptp.extended_enat)) (= (@ (@ tptp.ord_mi8085742599997312461d_enat Q2) tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 14.05/14.30 (assume a10180 (forall ((Q2 tptp.extended_enat)) (= (@ (@ tptp.ord_mi8085742599997312461d_enat tptp.zero_z5237406670263579293d_enat) Q2) tptp.zero_z5237406670263579293d_enat)))
% 14.05/14.30 (assume a10181 (forall ((I2 tptp.nat) (M tptp.nat) (N2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat I2) M)) N2) (= (@ (@ tptp.take_nat M) (@ (@ tptp.upt I2) N2)) (@ (@ tptp.upt I2) (@ (@ tptp.plus_plus_nat I2) M))))))
% 14.05/14.30 (assume a10182 (forall ((M tptp.nat) (I2 tptp.nat) (J tptp.nat)) (= (@ (@ tptp.drop_nat M) (@ (@ tptp.upt I2) J)) (@ (@ tptp.upt (@ (@ tptp.plus_plus_nat I2) M)) J))))
% 14.05/14.30 (assume a10183 (= tptp.inf_in1870772243966228564d_enat tptp.ord_mi8085742599997312461d_enat))
% 14.05/14.30 (assume a10184 (= tptp.field_5140801741446780682s_real (@ tptp.collect_real (lambda ((Uu3 tptp.real)) (exists ((I5 tptp.int) (N tptp.nat)) (and (= Uu3 (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real I5)) (@ tptp.semiri5074537144036343181t_real N))) (not (= N tptp.zero_zero_nat))))))))
% 14.05/14.30 (assume a10185 (forall ((X tptp.real)) (= (@ (@ tptp.member_real (@ tptp.abs_abs_real X)) tptp.field_5140801741446780682s_real) (@ (@ tptp.member_real X) tptp.field_5140801741446780682s_real))))
% 14.05/14.30 (assume a10186 (forall ((X tptp.real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) tptp.field_5140801741446780682s_real) (@ (@ tptp.ord_less_eq_real X) X5)))))
% 14.05/14.30 (assume a10187 (forall ((X tptp.real)) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) tptp.field_5140801741446780682s_real) (@ (@ tptp.ord_less_real X5) X)))))
% 14.05/14.30 (assume a10188 (forall ((X tptp.real) (Y tptp.real)) (=> (@ (@ tptp.ord_less_real X) Y) (exists ((X5 tptp.real)) (and (@ (@ tptp.member_real X5) tptp.field_5140801741446780682s_real) (@ (@ tptp.ord_less_real X) X5) (@ (@ tptp.ord_less_real X5) Y))))))
% 14.05/14.30 (assume a10189 (= tptp.field_5140801741446780682s_real (@ tptp.collect_real (lambda ((Uu3 tptp.real)) (exists ((I5 tptp.int) (J3 tptp.int)) (and (= Uu3 (@ (@ tptp.divide_divide_real (@ tptp.ring_1_of_int_real I5)) (@ tptp.ring_1_of_int_real J3))) (not (= J3 tptp.zero_zero_int))))))))
% 14.05/14.30 (assume a10190 (forall ((N2 tptp.nat) (A2 tptp.set_nat)) (= (@ (@ tptp.vimage_nat_nat tptp.suc) (@ (@ tptp.insert_nat (@ tptp.suc N2)) A2)) (@ (@ tptp.insert_nat N2) (@ (@ tptp.vimage_nat_nat tptp.suc) A2)))))
% 14.05/14.30 (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))))
% 14.05/14.30 (assume a10192 (forall ((F3 tptp.set_nat)) (= (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_nat tptp.suc) F3)) (@ tptp.finite_finite_nat F3))))
% 14.05/14.30 (assume a10193 (forall ((X tptp.nat)) (= (@ tptp.nat_set_decode (@ (@ tptp.divide_divide_nat X) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))) (@ (@ tptp.vimage_nat_nat tptp.suc) (@ tptp.nat_set_decode X)))))
% 14.05/14.30 (assume a10194 (forall ((A2 tptp.set_nat)) (= (@ tptp.nat_set_encode (@ (@ tptp.vimage_nat_nat tptp.suc) A2)) (@ (@ tptp.divide_divide_nat (@ tptp.nat_set_encode A2)) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))))))
% 14.05/14.30 (assume a10195 (forall ((S tptp.set_nat)) (=> (@ tptp.finite_finite_nat S) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat S)) (@ tptp.suc (@ tptp.lattic8265883725875713057ax_nat S))))))
% 14.05/14.30 (assume a10196 (= tptp.divide_divide_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ (@ tptp.if_nat (= N tptp.zero_zero_nat)) tptp.zero_zero_nat) (@ tptp.lattic8265883725875713057ax_nat (@ tptp.collect_nat (lambda ((K3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.times_times_nat K3) N)) M6))))))))
% 14.05/14.30 (assume a10197 (forall ((N2 tptp.nat)) (= (@ tptp.field_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.ord_less_nat X2) N2) (@ (@ tptp.ord_less_nat Y3) N2) (@ (@ tptp.ord_less_eq_nat X2) Y3)))))) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.ord_less_nat X2) N2))))))
% 14.05/14.30 (assume a10198 (= tptp.bNF_Ca8459412986667044542atLess (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_nat))))
% 14.05/14.30 (assume a10199 (forall ((N2 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.ord_less_nat X2) N2)))) (lambda ((Uu3 tptp.nat)) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.ord_less_nat X2) N2)))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.ord_less_nat X2) N2) (@ (@ tptp.ord_less_nat Y3) N2) (@ (@ tptp.ord_less_eq_nat X2) Y3))))))))
% 14.05/14.30 (assume a10200 (= tptp.bNF_Ca8665028551170535155natLeq (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_eq_nat))))
% 14.05/14.30 (assume a10201 (@ tptp.wf_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_nat))))
% 14.05/14.30 (assume a10202 (forall ((N2 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N2)) (lambda ((Uu3 tptp.nat)) (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N2)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X2 tptp.nat) (Y3 tptp.nat)) (and (@ (@ tptp.ord_less_nat X2) N2) (@ (@ tptp.ord_less_nat Y3) N2) (@ (@ tptp.ord_less_eq_nat X2) Y3))))))))
% 14.05/14.30 (assume a10203 (forall ((N2 tptp.nat)) (= (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N2) (@ tptp.collect_nat (lambda ((X2 tptp.nat)) (@ (@ tptp.ord_less_nat X2) N2))))))
% 14.05/14.30 (assume a10204 (forall ((K tptp.nat) (M tptp.nat)) (= (@ tptp.nat_prod_encode (@ (@ tptp.nat_prod_decode_aux K) M)) (@ (@ tptp.plus_plus_nat (@ tptp.nat_triangle K)) M))))
% 14.05/14.30 (assume a10205 (forall ((B tptp.nat) (A tptp.nat)) (@ (@ tptp.ord_less_eq_nat B) (@ tptp.nat_prod_encode (@ (@ tptp.product_Pair_nat_nat A) B)))))
% 14.05/14.30 (assume a10206 (forall ((A tptp.nat) (B tptp.nat)) (@ (@ tptp.ord_less_eq_nat A) (@ tptp.nat_prod_encode (@ (@ tptp.product_Pair_nat_nat A) B)))))
% 14.05/14.30 (assume a10207 (= tptp.nat_prod_encode (@ tptp.produc6842872674320459806at_nat (lambda ((M6 tptp.nat) (N tptp.nat)) (@ (@ tptp.plus_plus_nat (@ tptp.nat_triangle (@ (@ tptp.plus_plus_nat M6) N))) M6)))))
% 14.05/14.30 (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 ((X5 tptp.nat) (Xs3 tptp.list_nat)) (=> (= X (@ (@ tptp.cons_nat X5) Xs3)) (not (= Y (@ tptp.suc (@ tptp.nat_prod_encode (@ (@ tptp.product_Pair_nat_nat X5) (@ tptp.nat_list_encode Xs3)))))))))))))
% 14.05/14.30 (assume a10209 (forall ((X tptp.nat) (Xs2 tptp.list_nat)) (= (@ tptp.nat_list_encode (@ (@ tptp.cons_nat X) Xs2)) (@ tptp.suc (@ tptp.nat_prod_encode (@ (@ tptp.product_Pair_nat_nat X) (@ tptp.nat_list_encode Xs2)))))))
% 14.05/14.30 (assume a10210 (forall ((X tptp.list_nat) (Y tptp.nat)) (=> (= (@ tptp.nat_list_encode X) Y) (=> (@ (@ tptp.accp_list_nat tptp.nat_list_encode_rel) X) (=> (=> (= X tptp.nil_nat) (=> (= Y tptp.zero_zero_nat) (not (@ (@ tptp.accp_list_nat tptp.nat_list_encode_rel) tptp.nil_nat)))) (not (forall ((X5 tptp.nat) (Xs3 tptp.list_nat)) (=> (= X (@ (@ tptp.cons_nat X5) Xs3)) (=> (= Y (@ tptp.suc (@ tptp.nat_prod_encode (@ (@ tptp.product_Pair_nat_nat X5) (@ tptp.nat_list_encode Xs3))))) (not (@ (@ tptp.accp_list_nat tptp.nat_list_encode_rel) (@ (@ tptp.cons_nat X5) Xs3))))))))))))
% 14.05/14.30 (assume a10211 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ (@ tptp.if_int false) X) Y) Y)))
% 14.05/14.30 (assume a10212 (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ (@ tptp.if_int true) X) Y) X)))
% 14.05/14.30 (assume a10213 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ (@ tptp.if_nat false) X) Y) Y)))
% 14.05/14.30 (assume a10214 (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ (@ tptp.if_nat true) X) Y) X)))
% 14.05/14.30 (assume a10215 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ (@ tptp.if_num false) X) Y) Y)))
% 14.05/14.30 (assume a10216 (forall ((X tptp.num) (Y tptp.num)) (= (@ (@ (@ tptp.if_num true) X) Y) X)))
% 14.05/14.30 (assume a10217 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ (@ tptp.if_real false) X) Y) Y)))
% 14.05/14.30 (assume a10218 (forall ((X tptp.real) (Y tptp.real)) (= (@ (@ (@ tptp.if_real true) X) Y) X)))
% 14.05/14.30 (assume a10219 (forall ((P (-> tptp.real Bool))) (= (@ P (@ tptp.fChoice_real P)) (exists ((X4 tptp.real)) (@ P X4)))))
% 14.05/14.30 (assume a10220 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ (@ tptp.if_complex false) X) Y) Y)))
% 14.05/14.30 (assume a10221 (forall ((X tptp.complex) (Y tptp.complex)) (= (@ (@ (@ tptp.if_complex true) X) Y) X)))
% 14.05/14.30 (assume a10222 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (@ (@ (@ tptp.if_Extended_enat false) X) Y) Y)))
% 14.05/14.30 (assume a10223 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (@ (@ (@ tptp.if_Extended_enat true) X) Y) X)))
% 14.05/14.30 (assume a10224 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (@ (@ (@ tptp.if_Code_integer false) X) Y) Y)))
% 14.05/14.30 (assume a10225 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (@ (@ (@ tptp.if_Code_integer true) X) Y) X)))
% 14.05/14.30 (assume a10226 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (@ (@ (@ tptp.if_set_nat false) X) Y) Y)))
% 14.05/14.30 (assume a10227 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (@ (@ (@ tptp.if_set_nat true) X) Y) X)))
% 14.05/14.30 (assume a10228 (forall ((X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (@ (@ (@ tptp.if_VEBT_VEBT false) X) Y) Y)))
% 14.05/14.30 (assume a10229 (forall ((X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (@ (@ (@ tptp.if_VEBT_VEBT true) X) Y) X)))
% 14.05/14.30 (assume a10230 (forall ((X tptp.list_int) (Y tptp.list_int)) (= (@ (@ (@ tptp.if_list_int false) X) Y) Y)))
% 14.05/14.30 (assume a10231 (forall ((X tptp.list_int) (Y tptp.list_int)) (= (@ (@ (@ tptp.if_list_int true) X) Y) X)))
% 14.05/14.30 (assume a10232 (forall ((X tptp.list_nat) (Y tptp.list_nat)) (= (@ (@ (@ tptp.if_list_nat false) X) Y) Y)))
% 14.05/14.30 (assume a10233 (forall ((X tptp.list_nat) (Y tptp.list_nat)) (= (@ (@ (@ tptp.if_list_nat true) X) Y) X)))
% 14.05/14.30 (assume a10234 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (@ (@ (@ tptp.if_set_real false) X) Y) Y)))
% 14.05/14.30 (assume a10235 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (@ (@ (@ tptp.if_set_real true) X) Y) X)))
% 14.05/14.30 (assume a10236 (forall ((X (-> tptp.int tptp.int)) (Y (-> tptp.int tptp.int))) (= (@ (@ (@ tptp.if_int_int false) X) Y) Y)))
% 14.05/14.30 (assume a10237 (forall ((X (-> tptp.int tptp.int)) (Y (-> tptp.int tptp.int))) (= (@ (@ (@ tptp.if_int_int true) X) Y) X)))
% 14.05/14.30 (assume a10238 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (= (@ (@ (@ tptp.if_option_nat false) X) Y) Y)))
% 14.05/14.30 (assume a10239 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (= (@ (@ (@ tptp.if_option_nat true) X) Y) X)))
% 14.05/14.30 (assume a10240 (forall ((X tptp.option_num) (Y tptp.option_num)) (= (@ (@ (@ tptp.if_option_num false) X) Y) Y)))
% 14.05/14.30 (assume a10241 (forall ((X tptp.option_num) (Y tptp.option_num)) (= (@ (@ (@ tptp.if_option_num true) X) Y) X)))
% 14.05/14.30 (assume a10242 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3027730157355071871nt_int false) X) Y) Y)))
% 14.05/14.30 (assume a10243 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3027730157355071871nt_int true) X) Y) X)))
% 14.05/14.30 (assume a10244 (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro6206227464963214023at_nat false) X) Y) Y)))
% 14.05/14.30 (assume a10245 (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro6206227464963214023at_nat true) X) Y) X)))
% 14.05/14.30 (assume a10246 (forall ((X (-> tptp.nat tptp.int tptp.int)) (Y (-> tptp.nat tptp.int tptp.int))) (= (@ (@ (@ tptp.if_nat_int_int false) X) Y) Y)))
% 14.05/14.30 (assume a10247 (forall ((X (-> tptp.nat tptp.int tptp.int)) (Y (-> tptp.nat tptp.int tptp.int))) (= (@ (@ (@ tptp.if_nat_int_int true) X) Y) X)))
% 14.05/14.30 (assume a10248 (forall ((X (-> tptp.nat tptp.nat tptp.nat)) (Y (-> tptp.nat tptp.nat tptp.nat))) (= (@ (@ (@ tptp.if_nat_nat_nat false) X) Y) Y)))
% 14.05/14.30 (assume a10249 (forall ((X (-> tptp.nat tptp.nat tptp.nat)) (Y (-> tptp.nat tptp.nat tptp.nat))) (= (@ (@ (@ tptp.if_nat_nat_nat true) X) Y) X)))
% 14.05/14.30 (assume a10250 (forall ((X tptp.produc6271795597528267376eger_o) (Y tptp.produc6271795597528267376eger_o)) (= (@ (@ (@ tptp.if_Pro5737122678794959658eger_o false) X) Y) Y)))
% 14.05/14.30 (assume a10251 (forall ((X tptp.produc6271795597528267376eger_o) (Y tptp.produc6271795597528267376eger_o)) (= (@ (@ (@ tptp.if_Pro5737122678794959658eger_o true) X) Y) X)))
% 14.05/14.30 (assume a10252 (forall ((P Bool)) (or (= P true) (= P false))))
% 14.05/14.30 (assume a10253 (forall ((X tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger false) X) Y) Y)))
% 14.05/14.30 (assume a10254 (forall ((X tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger true) X) Y) X)))
% 14.05/14.30 (assume a10255 (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))))
% 14.05/14.30 (assume a10256 true)
% 14.05/14.30 (step t1 (cl (not (= (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))) (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))))) (not (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)))) (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)))) :rule equiv_pos2)
% 14.05/14.30 (step t2 (cl (= tptp.ord_less_nat tptp.ord_less_nat)) :rule refl)
% 14.05/14.30 (step t3 (cl (= tptp.if_nat tptp.if_nat)) :rule refl)
% 14.05/14.30 (step t4 (cl (= (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma) (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)))) :rule all_simplify)
% 14.05/14.30 (step t5 (cl (= (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))))) :rule cong :premises (t3 t4))
% 14.05/14.30 (step t6 (cl (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))))))) :rule refl)
% 14.05/14.30 (step t7 (cl (= (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))))) :rule cong :premises (t5 t6))
% 14.05/14.30 (step t8 (cl (= tptp.ma tptp.ma)) :rule refl)
% 14.05/14.30 (step t9 (cl (= (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma) (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))) :rule cong :premises (t7 t8))
% 14.05/14.30 (step t10 (cl (= (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)))) :rule cong :premises (t2 t9))
% 14.05/14.30 (step t11 (cl (= (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))) :rule refl)
% 14.05/14.30 (step t12 (cl (= (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)))) :rule cong :premises (t10 t11))
% 14.05/14.30 (step t13 (cl (= (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)))) :rule refl)
% 14.05/14.30 (step t14 (cl (= (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)))) :rule cong :premises (t13 t9))
% 14.05/14.30 (step t15 (cl (= (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))) (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma))))) :rule cong :premises (t12 t14))
% 14.05/14.30 (step t16 (cl (and (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)))) :rule resolution :premises (t1 t15 a21))
% 14.05/14.30 (step t17 (cl (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))) :rule and :premises (t16))
% 14.05/14.30 (step t18 (cl (not (= (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))) (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))))) (not (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)))) (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)))) :rule equiv_pos2)
% 14.05/14.30 (step t19 (cl (= (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx) tptp.ma)) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))) (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg))))) :rule cong :premises (t12))
% 14.05/14.30 (step t20 (cl (not (@ (@ tptp.ord_less_nat (@ (@ (@ tptp.if_nat (= tptp.ma (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx))) (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) (@ (@ tptp.divide_divide_nat tptp.deg) (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one)))))) (@ tptp.the_nat (@ tptp.vEBT_vebt_maxt (@ (@ tptp.nth_VEBT_VEBT (@ (@ (@ tptp.list_u1324408373059187874T_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)) (@ (@ tptp.vEBT_vebt_delete (@ (@ tptp.nth_VEBT_VEBT tptp.treeList) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na))) (@ (@ tptp.vEBT_VEBT_low (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))) (@ (@ tptp.vEBT_VEBT_high (@ (@ tptp.plus_plus_nat (@ (@ tptp.times_times_nat tptp.summin) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.na))) tptp.lx)) tptp.na)))))) tptp.ma)) (@ (@ tptp.power_power_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) tptp.deg)))) :rule resolution :premises (t18 t19 a10255))
% 14.05/14.31 (step t21 (cl) :rule resolution :premises (t17 t20))
% 14.05/14.31
% 14.05/14.31 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.GLeBxRycP2/cvc5---1.0.5_16365.smt2
% 14.05/14.31 % cvc5---1.0.5 exiting
% 14.05/14.32 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------