TSTP Solution File: NUM925+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM925+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 Jul 27 13:10:16 EDT 2022
% Result : Unknown 16.22s 16.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM925+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 09:31:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 16.10/16.07 ----- Otter 3.3f, August 2004 -----
% 16.10/16.07 The process was started by sandbox2 on n004.cluster.edu,
% 16.10/16.07 Wed Jul 27 09:31:51 2022
% 16.10/16.07 The command was "./otter". The process ID is 27580.
% 16.10/16.07
% 16.10/16.07 set(prolog_style_variables).
% 16.10/16.07 set(auto).
% 16.10/16.07 dependent: set(auto1).
% 16.10/16.07 dependent: set(process_input).
% 16.10/16.07 dependent: clear(print_kept).
% 16.10/16.07 dependent: clear(print_new_demod).
% 16.10/16.07 dependent: clear(print_back_demod).
% 16.10/16.07 dependent: clear(print_back_sub).
% 16.10/16.07 dependent: set(control_memory).
% 16.10/16.07 dependent: assign(max_mem, 12000).
% 16.10/16.07 dependent: assign(pick_given_ratio, 4).
% 16.10/16.07 dependent: assign(stats_level, 1).
% 16.10/16.07 dependent: assign(max_seconds, 10800).
% 16.10/16.07 clear(print_given).
% 16.10/16.07
% 16.10/16.07 formula_list(usable).
% 16.10/16.07 all A (A=A).
% 16.10/16.07 all B_1_1 (is_int(B_1_1)->is_int(abs_abs_int(B_1_1))).
% 16.10/16.07 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(minus_minus_int(B_1_1,B_2_1))).
% 16.10/16.07 is_int(one_one_int).
% 16.10/16.07 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(plus_plus_int(B_1_1,B_2_1))).
% 16.10/16.07 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(times_times_int(B_1_1,B_2_1))).
% 16.10/16.07 is_int(zero_zero_int).
% 16.10/16.07 is_int(undefined_int(int)).
% 16.10/16.07 all B_1_1 B_2_1 B_3_1 (is_bool(B_1_1)&is_int(B_2_1)&is_int(B_3_1)->is_int(if_int(B_1_1,B_2_1,B_3_1))).
% 16.10/16.07 all B_1_1 (is_int(B_1_1)->is_int(bit0(B_1_1))).
% 16.10/16.07 all B_1_1 (is_int(B_1_1)->is_int(bit1(B_1_1))).
% 16.10/16.07 is_int(min).
% 16.10/16.07 is_int(pls).
% 16.10/16.07 all B_1_1 (is_int(B_1_1)->is_int(number_number_of_int(B_1_1))).
% 16.10/16.07 all B_1_1 (is_int(B_1_1)->is_int(succ(B_1_1))).
% 16.10/16.07 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(legendre(B_1_1,B_2_1))).
% 16.10/16.07 is_bool(fFalse).
% 16.10/16.07 is_bool(fTrue).
% 16.10/16.07 all B_1_1 B_2_1 (is_int(B_2_1)->is_bool(hAPP_int_bool(B_1_1,B_2_1))).
% 16.10/16.07 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 16.10/16.07 all B_1_1 B_2_1 is_int(hAPP_nat_int(B_1_1,B_2_1)).
% 16.10/16.07 all B_1_1 B_2_1 is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 16.10/16.07 is_int(m).
% 16.10/16.07 is_int(m1).
% 16.10/16.07 is_int(s1).
% 16.10/16.07 is_int(s).
% 16.10/16.07 is_int(t).
% 16.10/16.07 is_int(x).
% 16.10/16.07 is_int(y).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)).
% 16.10/16.07 all Xa Ya (is_int(Xa)&is_int(Ya)-> (plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int<->Xa=zero_zero_int&Ya=zero_zero_int)).
% 16.10/16.07 all Xa Ya (plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 16.10/16.07 hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls))))=one_one_int.
% 16.10/16.07 hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls))))=one_one_nat.
% 16.10/16.07 hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls))))=one_one_real.
% 16.10/16.07 hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 16.10/16.07 hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat.
% 16.10/16.07 hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real.
% 16.10/16.07 all A_1 (is_int(A_1)-> (hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int<->A_1=zero_zero_int)).
% 16.10/16.07 all A_1 (hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real<->A_1=zero_zero_real).
% 16.10/16.07 all W_13 (plus_plus_int(one_one_int,number_number_of_int(W_13))=number_number_of_int(plus_plus_int(bit1(pls),W_13))).
% 16.10/16.07 all W_13 (plus_plus_real(one_one_real,number267125858f_real(W_13))=number267125858f_real(plus_plus_int(bit1(pls),W_13))).
% 16.10/16.07 all V_17 (plus_plus_int(number_number_of_int(V_17),one_one_int)=number_number_of_int(plus_plus_int(V_17,bit1(pls)))).
% 16.10/16.07 all V_17 (plus_plus_real(number267125858f_real(V_17),one_one_real)=number267125858f_real(plus_plus_int(V_17,bit1(pls)))).
% 16.10/16.07 plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 16.10/16.07 plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 16.10/16.07 plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 16.10/16.07 plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 16.10/16.07 plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 16.10/16.07 all X (hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit0(bit1(pls)))))).
% 16.10/16.07 all W_12 ((number_number_of_nat(W_12)=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_12))=one_one_int)& (number_number_of_nat(W_12)!=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_12))=zero_zero_int)).
% 16.10/16.07 all W_12 ((number_number_of_nat(W_12)=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_12))=one_one_nat)& (number_number_of_nat(W_12)!=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_12))=zero_zero_nat)).
% 16.10/16.07 all W_12 ((number_number_of_nat(W_12)=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_12))=one_one_real)& (number_number_of_nat(W_12)!=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_12))=zero_zero_real)).
% 16.10/16.07 one_one_int=number_number_of_int(bit1(pls)).
% 16.10/16.07 one_one_real=number267125858f_real(bit1(pls)).
% 16.10/16.07 number_number_of_int(bit1(pls))=one_one_int.
% 16.10/16.07 number267125858f_real(bit1(pls))=one_one_real.
% 16.10/16.07 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)).
% 16.10/16.07 all X Y (is_int(X)&is_int(Y)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))).
% 16.10/16.07 all V_1 W (plus_plus_int(number_number_of_int(V_1),number_number_of_int(W))=number_number_of_int(plus_plus_int(V_1,W))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 16.10/16.07 zero_zero_int=number_number_of_int(pls).
% 16.10/16.07 all M N (hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M)),N)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M),N))).
% 16.10/16.07 all M N (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M),N))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M)),N)).
% 16.10/16.07 all M N Z (plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M),plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N),Z))=plus_plus_int(hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M,N)),Z)).
% 16.10/16.07 all M N (plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M,N))).
% 16.10/16.07 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 16.10/16.07 number_number_of_nat(pls)=zero_zero_nat.
% 16.10/16.07 zero_zero_nat=number_number_of_nat(pls).
% 16.10/16.07 all Na (hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int<->Na=zero_zero_nat).
% 16.10/16.07 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 16.10/16.07 plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))).
% 16.10/16.07 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(I_2,K_1)),plus_plus_int(J_1,K_1)))).
% 16.10/16.07 all V_2 V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(V_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(V_1))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(plus_plus_int(V_1,V_2))))).
% 16.10/16.07 one_one_int=number_number_of_int(bit1(pls)).
% 16.10/16.07 number_number_of_nat(bit1(pls))=one_one_nat.
% 16.10/16.07 one_one_nat=number_number_of_nat(bit1(pls)).
% 16.10/16.07 all Xa Ya (is_int(Xa)&is_int(Ya)-> (number_number_of_int(Xa)=number_number_of_int(Ya)<->Xa=Ya)).
% 16.10/16.07 all Xa Ya (is_int(Xa)&is_int(Ya)-> (number267125858f_real(Xa)=number267125858f_real(Ya)<->Xa=Ya)).
% 16.10/16.07 all Wa Xa (number_number_of_nat(Wa)=Xa<->Xa=number_number_of_nat(Wa)).
% 16.10/16.07 all Wa Xa (is_int(Xa)-> (number_number_of_int(Wa)=Xa<->Xa=number_number_of_int(Wa))).
% 16.10/16.07 all Wa Xa (number267125858f_real(Wa)=Xa<->Xa=number267125858f_real(Wa)).
% 16.10/16.07 all K L_1 (is_int(K)&is_int(L_1)-> (bit1(K)=bit1(L_1)<->K=L_1)).
% 16.10/16.07 all K L_1 (is_int(K)&is_int(L_1)-> (bit0(K)=bit0(L_1)<->K=L_1)).
% 16.10/16.07 all A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int))).
% 16.10/16.07 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real))).
% 16.10/16.07 all Z1 Z2 Z3 (plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3))).
% 16.10/16.07 all X Y Z (plus_plus_int(X,plus_plus_int(Y,Z))=plus_plus_int(Y,plus_plus_int(X,Z))).
% 16.10/16.07 all Z W (plus_plus_int(Z,W)=plus_plus_int(W,Z)).
% 16.10/16.07 all Ma Na (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)<->Ma=Na).
% 16.10/16.07 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 16.10/16.07 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 16.10/16.07 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 16.10/16.07 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K))).
% 16.10/16.07 all Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int))).
% 16.10/16.07 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 16.10/16.07 all Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 16.10/16.07 all Wa Z_1 (is_int(Wa)&is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1))|Wa=Z_1)).
% 16.10/16.07 all K_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int))).
% 16.10/16.07 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls)))).
% 16.10/16.07 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls)))).
% 16.10/16.07 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya))).
% 16.10/16.07 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya))).
% 16.10/16.07 all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int))).
% 16.10/16.07 all A_1 (is_int(A_1)-> (plus_plus_int(A_1,A_1)=zero_zero_int<->A_1=zero_zero_int)).
% 16.10/16.07 all A_1 (plus_plus_real(A_1,A_1)=zero_zero_real<->A_1=zero_zero_real).
% 16.10/16.07 all K_1 (bit1(K_1)!=pls).
% 16.10/16.07 all L (pls!=bit1(L)).
% 16.10/16.07 all K_1 L (bit1(K_1)!=bit0(L)).
% 16.10/16.07 all K_1 L (bit0(K_1)!=bit1(L)).
% 16.10/16.07 all K (is_int(K)-> (bit0(K)=pls<->K=pls)).
% 16.10/16.07 all L_1 (is_int(L_1)-> (pls=bit0(L_1)<->pls=L_1)).
% 16.10/16.07 bit0(pls)=pls.
% 16.10/16.07 pls=zero_zero_int.
% 16.10/16.07 zero_zero_int!=one_one_int.
% 16.10/16.07 all K_1 (is_int(K_1)->plus_plus_int(K_1,pls)=K_1).
% 16.10/16.07 all K_1 (is_int(K_1)->plus_plus_int(pls,K_1)=K_1).
% 16.10/16.07 all K_1 L (plus_plus_int(bit0(K_1),bit0(L))=bit0(plus_plus_int(K_1,L))).
% 16.10/16.07 all K_1 (bit0(K_1)=plus_plus_int(K_1,K_1)).
% 16.10/16.07 all Z (is_int(Z)->plus_plus_int(Z,zero_zero_int)=Z).
% 16.10/16.07 all Z (is_int(Z)->plus_plus_int(zero_zero_int,Z)=Z).
% 16.10/16.07 number_number_of_int(pls)=zero_zero_int.
% 16.10/16.07 number_number_of_nat(pls)=zero_zero_nat.
% 16.10/16.07 number267125858f_real(pls)=zero_zero_real.
% 16.10/16.07 number_number_of_int(pls)=zero_zero_int.
% 16.10/16.07 number267125858f_real(pls)=zero_zero_real.
% 16.10/16.07 zero_zero_int=number_number_of_int(pls).
% 16.10/16.07 zero_zero_real=number267125858f_real(pls).
% 16.10/16.07 all A_100 (is_int(A_100)->plus_plus_int(number_number_of_int(pls),A_100)=A_100).
% 16.10/16.07 all A_100 (plus_plus_real(number267125858f_real(pls),A_100)=A_100).
% 16.10/16.07 all A_99 (is_int(A_99)->plus_plus_int(A_99,number_number_of_int(pls))=A_99).
% 16.10/16.07 all A_99 (plus_plus_real(A_99,number267125858f_real(pls))=A_99).
% 16.10/16.07 all A_1 Wa (is_int(A_1)-> (hAPP_nat_int(power_power_int(A_1),number_number_of_nat(Wa))=zero_zero_int<->A_1=zero_zero_int&number_number_of_nat(Wa)!=zero_zero_nat)).
% 16.10/16.07 all A_1 Wa (hAPP_nat_nat(power_power_nat(A_1),number_number_of_nat(Wa))=zero_zero_nat<->A_1=zero_zero_nat&number_number_of_nat(Wa)!=zero_zero_nat).
% 16.10/16.07 all A_1 Wa (hAPP_nat_real(power_power_real(A_1),number_number_of_nat(Wa))=zero_zero_real<->A_1=zero_zero_real&number_number_of_nat(Wa)!=zero_zero_nat).
% 16.10/16.07 all V_16 W_11 Z_6 (plus_plus_int(number_number_of_int(V_16),plus_plus_int(number_number_of_int(W_11),Z_6))=plus_plus_int(number_number_of_int(plus_plus_int(V_16,W_11)),Z_6)).
% 16.10/16.07 all V_16 W_11 Z_6 (plus_plus_real(number267125858f_real(V_16),plus_plus_real(number267125858f_real(W_11),Z_6))=plus_plus_real(number267125858f_real(plus_plus_int(V_16,W_11)),Z_6)).
% 16.10/16.07 all V_15 W_10 (plus_plus_int(number_number_of_int(V_15),number_number_of_int(W_10))=number_number_of_int(plus_plus_int(V_15,W_10))).
% 16.10/16.07 all V_15 W_10 (plus_plus_real(number267125858f_real(V_15),number267125858f_real(W_10))=number267125858f_real(plus_plus_int(V_15,W_10))).
% 16.10/16.07 all V_14 W_9 (number_number_of_int(plus_plus_int(V_14,W_9))=plus_plus_int(number_number_of_int(V_14),number_number_of_int(W_9))).
% 16.10/16.07 all V_14 W_9 (number267125858f_real(plus_plus_int(V_14,W_9))=plus_plus_real(number267125858f_real(V_14),number267125858f_real(W_9))).
% 16.10/16.07 all K_1 L (plus_plus_int(bit1(K_1),bit0(L))=bit1(plus_plus_int(K_1,L))).
% 16.10/16.07 all K_1 L (plus_plus_int(bit0(K_1),bit1(L))=bit1(plus_plus_int(K_1,L))).
% 16.10/16.07 all K_1 (bit1(K_1)=plus_plus_int(plus_plus_int(one_one_int,K_1),K_1)).
% 16.10/16.07 all Z (plus_plus_int(plus_plus_int(one_one_int,Z),Z)!=zero_zero_int).
% 16.10/16.07 all N_26 (number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_nat(semiri984289939at_nat,N_26)).
% 16.10/16.07 all N_26 (number_number_of_int(hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_int(semiri1621563631at_int,N_26)).
% 16.10/16.07 all N_26 (number267125858f_real(hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_real(semiri132038758t_real,N_26)).
% 16.10/16.07 all A_1 (is_int(A_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))))<->A_1!=zero_zero_int)).
% 16.10/16.07 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))))<->A_1!=zero_zero_real).
% 16.10/16.07 all A_98 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_98),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int))).
% 16.10/16.07 all A_98 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_98),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real))).
% 16.10/16.07 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))<->Xa!=zero_zero_int|Ya!=zero_zero_int)).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))<->Xa!=zero_zero_real|Ya!=zero_zero_real).
% 16.10/16.07 all X_15 Y_11 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(hAPP_nat_int(power_power_int(X_15),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_11),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))).
% 16.10/16.07 all X_15 Y_11 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(hAPP_nat_real(power_power_real(X_15),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Y_11),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))).
% 16.10/16.07 all W_8 (number_number_of_int(bit0(W_8))=plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(W_8)),number_number_of_int(W_8))).
% 16.10/16.07 all W_8 (number267125858f_real(bit0(W_8))=plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(W_8)),number267125858f_real(W_8))).
% 16.10/16.07 all W_7 (number_number_of_int(bit1(W_7))=plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_7)),number_number_of_int(W_7))).
% 16.10/16.07 all W_7 (number267125858f_real(bit1(W_7))=plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(W_7)),number267125858f_real(W_7))).
% 16.10/16.07 number_number_of_int(bit1(pls))=one_one_int.
% 16.10/16.07 number_number_of_nat(bit1(pls))=one_one_nat.
% 16.10/16.07 number267125858f_real(bit1(pls))=one_one_real.
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.07 all N_25 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_25)),hAPP_nat_int(power_power_int(number_number_of_int(bit0(bit1(pls)))),N_25))).
% 16.10/16.07 all N_25 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_25)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_25))).
% 16.10/16.07 number_number_of_int(bit0(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls)))).
% 16.10/16.07 number_number_of_int(bit1(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))).
% 16.10/16.07 all Xa Ya (plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 16.10/16.07 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 all N_24 A_97 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_97))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_97),N_24))))).
% 16.10/16.07 all N_24 A_97 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_97))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_97),N_24))))).
% 16.10/16.07 all N_24 A_97 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_97))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_97),N_24))))).
% 16.10/16.07 all N_23 ((N_23=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),N_23)=one_one_int)& (N_23!=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),N_23)=zero_zero_int)).
% 16.10/16.07 all N_23 ((N_23=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),N_23)=one_one_nat)& (N_23!=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),N_23)=zero_zero_nat)).
% 16.10/16.07 all N_23 ((N_23=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),N_23)=one_one_real)& (N_23!=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),N_23)=zero_zero_real)).
% 16.10/16.07 all A_96 N_22 N_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_96))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_96),N_21)),hAPP_nat_int(power_power_int(A_96),N_22)))))).
% 16.10/16.07 all A_96 N_22 N_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_96))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_96),N_21)),hAPP_nat_nat(power_power_nat(A_96),N_22)))))).
% 16.10/16.07 all A_96 N_22 N_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_96))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_96),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_96),N_21)),hAPP_nat_real(power_power_real(A_96),N_22)))))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,one_one_int))).
% 16.10/16.07 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(one_one_nat,one_one_nat))).
% 16.10/16.07 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(one_one_real,one_one_real))).
% 16.10/16.07 all P_1 K I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))-> (hBOOL(hAPP_int_bool(P_1,plus_plus_int(K,one_one_int)))-> ((all I (is_int(I)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I))-> (hBOOL(hAPP_int_bool(P_1,I))->hBOOL(hAPP_int_bool(P_1,plus_plus_int(I,one_one_int)))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 16.10/16.07 zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 16.10/16.07 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 16.10/16.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 16.10/16.07 zero_zero_real!=one_one_real.
% 16.10/16.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 16.10/16.07 all I_2 J_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,J_1)),I_2))).
% 16.10/16.07 all J_1 I_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(J_1,I_2)),I_2))).
% 16.10/16.07 all K_1 (is_int(K_1)->number_number_of_int(K_1)=K_1).
% 16.10/16.07 all Ma Na (Ma!=Na<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))).
% 16.10/16.07 all M N (plus_plus_nat(M,N)=plus_plus_nat(N,M)).
% 16.10/16.07 all X Y Z (plus_plus_nat(X,plus_plus_nat(Y,Z))=plus_plus_nat(Y,plus_plus_nat(X,Z))).
% 16.10/16.07 all M N K_1 (plus_plus_nat(plus_plus_nat(M,N),K_1)=plus_plus_nat(M,plus_plus_nat(N,K_1))).
% 16.10/16.07 all K Ma Na (plus_plus_nat(K,Ma)=plus_plus_nat(K,Na)<->Ma=Na).
% 16.10/16.07 all Ma K Na (plus_plus_nat(Ma,K)=plus_plus_nat(Na,K)<->Ma=Na).
% 16.10/16.07 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all X Y (X!=Y-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)))).
% 16.10/16.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 16.10/16.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))->M!=N).
% 16.10/16.07 all S_1 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T_1))->S_1!=T_1).
% 16.10/16.07 all M I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),plus_plus_nat(J_1,M)))).
% 16.10/16.07 all M I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),plus_plus_nat(M,J_1)))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,K_1)))).
% 16.10/16.07 all K_1 L I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,L))))).
% 16.10/16.07 all M N K_1 L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L))-> (plus_plus_nat(M,L)=plus_plus_nat(K_1,N)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 16.10/16.07 all I_2 J_1 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,J_1)),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K_1))).
% 16.10/16.07 all P_1 Ma Na ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))-> ((Ma=Na->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma))))).
% 16.10/16.07 all N (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->N!=zero_zero_nat).
% 16.10/16.07 all M N I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_2),M)),hAPP_nat_nat(power_power_nat(I_2),N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 16.10/16.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 16.10/16.07 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))|Na=zero_zero_nat).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(Ma,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 all Na (Na!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 16.10/16.07 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))<->Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))).
% 16.10/16.07 all Xa Wa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))<->number_number_of_nat(Wa)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all Va V_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_3)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3))).
% 16.10/16.07 all X_14 Y_10 (is_int(X_14)&is_int(Y_10)-> (X_14!=Y_10-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_14),Y_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_10),X_14))))).
% 16.10/16.07 all X_14 Y_10 (X_14!=Y_10-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_14),Y_10))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_10),X_14)))).
% 16.10/16.07 all M N (plus_plus_nat(M,N)=M->N=zero_zero_nat).
% 16.10/16.07 all Ma Na (plus_plus_nat(Ma,Na)=zero_zero_nat<->Ma=zero_zero_nat&Na=zero_zero_nat).
% 16.10/16.07 all M (plus_plus_nat(M,zero_zero_nat)=M).
% 16.10/16.07 all N (plus_plus_nat(zero_zero_nat,N)=N).
% 16.10/16.07 all A_95 (is_int(A_95)->hAPP_nat_int(power_power_int(A_95),one_one_nat)=A_95).
% 16.10/16.07 all A_95 (hAPP_nat_nat(power_power_nat(A_95),one_one_nat)=A_95).
% 16.10/16.07 all A_95 (hAPP_nat_real(power_power_real(A_95),one_one_nat)=A_95).
% 16.10/16.07 all Ma Na (hAPP_nat_real(semiri132038758t_real,Ma)=hAPP_nat_real(semiri132038758t_real,Na)<->Ma=Na).
% 16.10/16.07 all Ma Na (hAPP_nat_nat(semiri984289939at_nat,Ma)=hAPP_nat_nat(semiri984289939at_nat,Na)<->Ma=Na).
% 16.10/16.07 all Ma Na (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)<->Ma=Na).
% 16.10/16.07 all Xa Ya (hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,Ya)<->Xa=Ya).
% 16.10/16.07 all Xa Ya P_1 ((hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,if_nat(P_1,Xa,Ya)))& (-hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Ya)=hAPP_nat_int(semiri1621563631at_int,if_nat(P_1,Xa,Ya)))).
% 16.10/16.07 all Va (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va))).
% 16.10/16.07 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 one_one_int!=zero_zero_int.
% 16.10/16.07 one_one_nat!=zero_zero_nat.
% 16.10/16.07 one_one_real!=zero_zero_real.
% 16.10/16.07 zero_zero_int!=one_one_int.
% 16.10/16.07 zero_zero_nat!=one_one_nat.
% 16.10/16.07 zero_zero_real!=one_one_real.
% 16.10/16.07 all N_20 A_94 (is_int(A_94)-> (A_94!=zero_zero_int->hAPP_nat_int(power_power_int(A_94),N_20)!=zero_zero_int)).
% 16.10/16.07 all N_20 A_94 (A_94!=zero_zero_real->hAPP_nat_real(power_power_real(A_94),N_20)!=zero_zero_real).
% 16.10/16.07 all N_19 (hAPP_nat_int(power_power_int(one_one_int),N_19)=one_one_int).
% 16.10/16.07 all N_19 (hAPP_nat_nat(power_power_nat(one_one_nat),N_19)=one_one_nat).
% 16.10/16.07 all N_19 (hAPP_nat_real(power_power_real(one_one_real),N_19)=one_one_real).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all M_10 N_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_10)),hAPP_nat_int(semiri1621563631at_int,N_18)))).
% 16.10/16.07 all M_10 N_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_10)),hAPP_nat_nat(semiri984289939at_nat,N_18)))).
% 16.10/16.07 all M_10 N_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_10)),hAPP_nat_real(semiri132038758t_real,N_18)))).
% 16.10/16.07 all M_9 N_17 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_17)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17))).
% 16.10/16.07 all M_9 N_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_17)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17))).
% 16.10/16.07 all M_9 N_17 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_17)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17))).
% 16.10/16.07 all M_8 N_16 (hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M_8,N_16))=plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_8),hAPP_nat_int(semiri1621563631at_int,N_16))).
% 16.10/16.07 all M_8 N_16 (hAPP_nat_nat(semiri984289939at_nat,plus_plus_nat(M_8,N_16))=plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,M_8),hAPP_nat_nat(semiri984289939at_nat,N_16))).
% 16.10/16.07 all M_8 N_16 (hAPP_nat_real(semiri132038758t_real,plus_plus_nat(M_8,N_16))=plus_plus_real(hAPP_nat_real(semiri132038758t_real,M_8),hAPP_nat_real(semiri132038758t_real,N_16))).
% 16.10/16.07 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 16.10/16.07 hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 16.10/16.07 hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 16.10/16.07 all M_7 N_15 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_7),N_15))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_7)),N_15)).
% 16.10/16.07 all M_7 N_15 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(M_7),N_15))=hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,M_7)),N_15)).
% 16.10/16.07 all M_7 N_15 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(M_7),N_15))=hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,M_7)),N_15)).
% 16.10/16.07 one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 16.10/16.07 all X Y (plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(X,Y))).
% 16.10/16.07 all X N (hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X)),N)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X),N))).
% 16.10/16.07 all B_61 C_45 A_93 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_93))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_61),C_45))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_61),plus_plus_int(A_93,C_45))))).
% 16.10/16.07 all B_61 C_45 A_93 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_93))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_61),C_45))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_61),plus_plus_nat(A_93,C_45))))).
% 16.10/16.07 all B_61 C_45 A_93 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_93))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_61),C_45))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_61),plus_plus_real(A_93,C_45))))).
% 16.10/16.07 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 16.10/16.07 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 16.10/16.07 -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 16.10/16.07 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 16.10/16.07 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 16.10/16.07 all N_14 A_92 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_92))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_92),N_14)))).
% 16.10/16.07 all N_14 A_92 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_92))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_92),N_14)))).
% 16.10/16.07 all N_14 A_92 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_92))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_92),N_14)))).
% 16.10/16.07 all A_91 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_91),plus_plus_int(A_91,one_one_int))).
% 16.10/16.07 all A_91 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_91),plus_plus_nat(A_91,one_one_nat))).
% 16.10/16.07 all A_91 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_91),plus_plus_real(A_91,one_one_real))).
% 16.10/16.07 all Ma Na A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))-> (hAPP_nat_int(power_power_int(A_1),Ma)=hAPP_nat_int(power_power_int(A_1),Na)<->Ma=Na)).
% 16.10/16.07 all Ma Na A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_1))-> (hAPP_nat_nat(power_power_nat(A_1),Ma)=hAPP_nat_nat(power_power_nat(A_1),Na)<->Ma=Na)).
% 16.10/16.07 all Ma Na A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))-> (hAPP_nat_real(power_power_real(A_1),Ma)=hAPP_nat_real(power_power_real(A_1),Na)<->Ma=Na)).
% 16.10/16.07 all Xa Ya B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 16.10/16.07 all Xa Ya B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 16.10/16.07 all Xa Ya B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 16.10/16.07 all M_6 N_13 A_90 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_90))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_90),M_6)),hAPP_nat_int(power_power_int(A_90),N_13)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)))).
% 16.10/16.07 all M_6 N_13 A_90 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_90))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_90),M_6)),hAPP_nat_nat(power_power_nat(A_90),N_13)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)))).
% 16.10/16.07 all M_6 N_13 A_90 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_90))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_90),M_6)),hAPP_nat_real(power_power_real(A_90),N_13)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)))).
% 16.10/16.07 all A_89 N_12 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_89))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_89),N_12)),hAPP_nat_int(power_power_int(A_89),N_11))))).
% 16.10/16.07 all A_89 N_12 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_89))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_89),N_12)),hAPP_nat_nat(power_power_nat(A_89),N_11))))).
% 16.10/16.07 all A_89 N_12 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_89))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_89),N_12)),hAPP_nat_real(power_power_real(A_89),N_11))))).
% 16.10/16.07 all A_1 Na (is_int(A_1)-> (hAPP_nat_int(power_power_int(A_1),Na)=zero_zero_int<->A_1=zero_zero_int&Na!=zero_zero_nat)).
% 16.10/16.07 all A_1 Na (hAPP_nat_nat(power_power_nat(A_1),Na)=zero_zero_nat<->A_1=zero_zero_nat&Na!=zero_zero_nat).
% 16.10/16.07 all A_1 Na (hAPP_nat_real(power_power_real(A_1),Na)=zero_zero_real<->A_1=zero_zero_real&Na!=zero_zero_nat).
% 16.10/16.07 all M_5 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_5)),zero_zero_int))).
% 16.10/16.07 all M_5 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_5)),zero_zero_nat))).
% 16.10/16.07 all M_5 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_5)),zero_zero_real))).
% 16.10/16.07 all A_88 (hAPP_nat_int(power_power_int(A_88),zero_zero_nat)=one_one_int).
% 16.10/16.07 all A_88 (hAPP_nat_nat(power_power_nat(A_88),zero_zero_nat)=one_one_nat).
% 16.10/16.07 all A_88 (hAPP_nat_real(power_power_real(A_88),zero_zero_nat)=one_one_real).
% 16.10/16.07 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 16.10/16.07 hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 16.10/16.07 hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 16.10/16.07 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.07 all K_1 (is_int(K_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (exists N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))&K_1=hAPP_nat_int(semiri1621563631at_int,N_1))))).
% 16.10/16.07 all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))&plus_plus_nat(I_2,K_2)=J_1))).
% 16.10/16.07 all Xa Na (hAPP_nat_nat(power_power_nat(Xa),Na)=one_one_nat<->Xa=one_one_nat|Na=zero_zero_nat).
% 16.10/16.07 all X_13 (hAPP_nat_int(power_power_int(X_13),zero_zero_nat)=one_one_int).
% 16.10/16.07 all X_13 (hAPP_nat_nat(power_power_nat(X_13),zero_zero_nat)=one_one_nat).
% 16.10/16.07 all X_13 (hAPP_nat_real(power_power_real(X_13),zero_zero_nat)=one_one_real).
% 16.10/16.07 all A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_1,A_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))).
% 16.10/16.07 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_1,A_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_1))).
% 16.10/16.07 all A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int))).
% 16.10/16.07 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real))).
% 16.10/16.07 all B_60 A_87 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_87))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_60))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_87,B_60))))).
% 16.10/16.07 all B_60 A_87 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_87))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_60))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_87,B_60))))).
% 16.10/16.07 all B_60 A_87 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_87))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_60))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_87,B_60))))).
% 16.10/16.07 all B_59 A_86 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_86),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_59),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_86,B_59)),zero_zero_int)))).
% 16.10/16.07 all B_59 A_86 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_86),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_59),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_86,B_59)),zero_zero_nat)))).
% 16.10/16.07 all B_59 A_86 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_86),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_59),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_86,B_59)),zero_zero_real)))).
% 16.10/16.07 all Xa (is_int(Xa)-> (zero_zero_int=Xa<->Xa=zero_zero_int)).
% 16.10/16.07 all Xa (zero_zero_nat=Xa<->Xa=zero_zero_nat).
% 16.10/16.07 all Xa (zero_zero_real=Xa<->Xa=zero_zero_real).
% 16.10/16.07 all B_58 A_85 C_44 (is_int(B_58)&is_int(C_44)-> (plus_plus_int(B_58,A_85)=plus_plus_int(C_44,A_85)->B_58=C_44)).
% 16.10/16.07 all B_58 A_85 C_44 (plus_plus_nat(B_58,A_85)=plus_plus_nat(C_44,A_85)->B_58=C_44).
% 16.10/16.07 all B_58 A_85 C_44 (plus_plus_real(B_58,A_85)=plus_plus_real(C_44,A_85)->B_58=C_44).
% 16.10/16.07 all A_84 B_57 C_43 (is_int(B_57)&is_int(C_43)-> (plus_plus_int(A_84,B_57)=plus_plus_int(A_84,C_43)->B_57=C_43)).
% 16.10/16.07 all A_84 B_57 C_43 (plus_plus_nat(A_84,B_57)=plus_plus_nat(A_84,C_43)->B_57=C_43).
% 16.10/16.07 all A_84 B_57 C_43 (plus_plus_real(A_84,B_57)=plus_plus_real(A_84,C_43)->B_57=C_43).
% 16.10/16.07 all A_83 B_56 C_42 (is_int(B_56)&is_int(C_42)-> (plus_plus_int(A_83,B_56)=plus_plus_int(A_83,C_42)->B_56=C_42)).
% 16.10/16.07 all A_83 B_56 C_42 (plus_plus_nat(A_83,B_56)=plus_plus_nat(A_83,C_42)->B_56=C_42).
% 16.10/16.07 all A_83 B_56 C_42 (plus_plus_real(A_83,B_56)=plus_plus_real(A_83,C_42)->B_56=C_42).
% 16.10/16.07 all A_82 B_55 C_41 D_14 (plus_plus_int(plus_plus_int(A_82,B_55),plus_plus_int(C_41,D_14))=plus_plus_int(plus_plus_int(A_82,C_41),plus_plus_int(B_55,D_14))).
% 16.10/16.07 all A_82 B_55 C_41 D_14 (plus_plus_nat(plus_plus_nat(A_82,B_55),plus_plus_nat(C_41,D_14))=plus_plus_nat(plus_plus_nat(A_82,C_41),plus_plus_nat(B_55,D_14))).
% 16.10/16.07 all A_82 B_55 C_41 D_14 (plus_plus_real(plus_plus_real(A_82,B_55),plus_plus_real(C_41,D_14))=plus_plus_real(plus_plus_real(A_82,C_41),plus_plus_real(B_55,D_14))).
% 16.10/16.07 all B A_1 C_1 (is_int(B)&is_int(C_1)-> (plus_plus_int(B,A_1)=plus_plus_int(C_1,A_1)<->B=C_1)).
% 16.10/16.07 all B A_1 C_1 (plus_plus_nat(B,A_1)=plus_plus_nat(C_1,A_1)<->B=C_1).
% 16.10/16.07 all B A_1 C_1 (plus_plus_real(B,A_1)=plus_plus_real(C_1,A_1)<->B=C_1).
% 16.10/16.07 all A_1 B C_1 (is_int(B)&is_int(C_1)-> (plus_plus_int(A_1,B)=plus_plus_int(A_1,C_1)<->B=C_1)).
% 16.10/16.07 all A_1 B C_1 (plus_plus_nat(A_1,B)=plus_plus_nat(A_1,C_1)<->B=C_1).
% 16.10/16.07 all A_1 B C_1 (plus_plus_real(A_1,B)=plus_plus_real(A_1,C_1)<->B=C_1).
% 16.10/16.07 all A_81 B_54 C_40 (plus_plus_int(plus_plus_int(A_81,B_54),C_40)=plus_plus_int(plus_plus_int(A_81,C_40),B_54)).
% 16.10/16.07 all A_81 B_54 C_40 (plus_plus_nat(plus_plus_nat(A_81,B_54),C_40)=plus_plus_nat(plus_plus_nat(A_81,C_40),B_54)).
% 16.10/16.07 all A_81 B_54 C_40 (plus_plus_real(plus_plus_real(A_81,B_54),C_40)=plus_plus_real(plus_plus_real(A_81,C_40),B_54)).
% 16.10/16.07 all A_80 B_53 C_39 (plus_plus_int(plus_plus_int(A_80,B_53),C_39)=plus_plus_int(A_80,plus_plus_int(B_53,C_39))).
% 16.10/16.07 all A_80 B_53 C_39 (plus_plus_nat(plus_plus_nat(A_80,B_53),C_39)=plus_plus_nat(A_80,plus_plus_nat(B_53,C_39))).
% 16.10/16.07 all A_80 B_53 C_39 (plus_plus_real(plus_plus_real(A_80,B_53),C_39)=plus_plus_real(A_80,plus_plus_real(B_53,C_39))).
% 16.10/16.07 all A_79 B_52 C_38 (plus_plus_int(plus_plus_int(A_79,B_52),C_38)=plus_plus_int(A_79,plus_plus_int(B_52,C_38))).
% 16.10/16.07 all A_79 B_52 C_38 (plus_plus_nat(plus_plus_nat(A_79,B_52),C_38)=plus_plus_nat(A_79,plus_plus_nat(B_52,C_38))).
% 16.10/16.07 all A_79 B_52 C_38 (plus_plus_real(plus_plus_real(A_79,B_52),C_38)=plus_plus_real(A_79,plus_plus_real(B_52,C_38))).
% 16.10/16.07 all A_78 C_37 D_13 (plus_plus_int(A_78,plus_plus_int(C_37,D_13))=plus_plus_int(plus_plus_int(A_78,C_37),D_13)).
% 16.10/16.07 all A_78 C_37 D_13 (plus_plus_nat(A_78,plus_plus_nat(C_37,D_13))=plus_plus_nat(plus_plus_nat(A_78,C_37),D_13)).
% 16.10/16.07 all A_78 C_37 D_13 (plus_plus_real(A_78,plus_plus_real(C_37,D_13))=plus_plus_real(plus_plus_real(A_78,C_37),D_13)).
% 16.10/16.07 all A_77 C_36 D_12 (plus_plus_int(A_77,plus_plus_int(C_36,D_12))=plus_plus_int(C_36,plus_plus_int(A_77,D_12))).
% 16.10/16.07 all A_77 C_36 D_12 (plus_plus_nat(A_77,plus_plus_nat(C_36,D_12))=plus_plus_nat(C_36,plus_plus_nat(A_77,D_12))).
% 16.10/16.07 all A_77 C_36 D_12 (plus_plus_real(A_77,plus_plus_real(C_36,D_12))=plus_plus_real(C_36,plus_plus_real(A_77,D_12))).
% 16.10/16.07 all A_76 C_35 (plus_plus_int(A_76,C_35)=plus_plus_int(C_35,A_76)).
% 16.10/16.07 all A_76 C_35 (plus_plus_nat(A_76,C_35)=plus_plus_nat(C_35,A_76)).
% 16.10/16.07 all A_76 C_35 (plus_plus_real(A_76,C_35)=plus_plus_real(C_35,A_76)).
% 16.10/16.07 all Xa (is_int(Xa)-> (one_one_int=Xa<->Xa=one_one_int)).
% 16.10/16.07 all Xa (one_one_nat=Xa<->Xa=one_one_nat).
% 16.10/16.07 all Xa (one_one_real=Xa<->Xa=one_one_real).
% 16.10/16.07 all B A_1 (is_int(B)&is_int(A_1)-> (B=plus_plus_int(B,A_1)<->A_1=zero_zero_int)).
% 16.10/16.07 all B A_1 (B=plus_plus_nat(B,A_1)<->A_1=zero_zero_nat).
% 16.10/16.07 all B A_1 (B=plus_plus_real(B,A_1)<->A_1=zero_zero_real).
% 16.10/16.07 all A_75 (is_int(A_75)->plus_plus_int(A_75,zero_zero_int)=A_75).
% 16.10/16.07 all A_75 (plus_plus_nat(A_75,zero_zero_nat)=A_75).
% 16.10/16.07 all A_75 (plus_plus_real(A_75,zero_zero_real)=A_75).
% 16.10/16.07 all A_74 (is_int(A_74)->plus_plus_int(A_74,zero_zero_int)=A_74).
% 16.10/16.07 all A_74 (plus_plus_nat(A_74,zero_zero_nat)=A_74).
% 16.10/16.07 all A_74 (plus_plus_real(A_74,zero_zero_real)=A_74).
% 16.10/16.07 all A_73 (is_int(A_73)->plus_plus_int(A_73,zero_zero_int)=A_73).
% 16.10/16.07 all A_73 (plus_plus_nat(A_73,zero_zero_nat)=A_73).
% 16.10/16.07 all A_73 (plus_plus_real(A_73,zero_zero_real)=A_73).
% 16.10/16.07 all A_1 (is_int(A_1)-> (zero_zero_int=plus_plus_int(A_1,A_1)<->A_1=zero_zero_int)).
% 16.10/16.07 all A_1 (zero_zero_real=plus_plus_real(A_1,A_1)<->A_1=zero_zero_real).
% 16.10/16.07 all A_72 (is_int(A_72)->plus_plus_int(zero_zero_int,A_72)=A_72).
% 16.10/16.07 all A_72 (plus_plus_nat(zero_zero_nat,A_72)=A_72).
% 16.10/16.07 all A_72 (plus_plus_real(zero_zero_real,A_72)=A_72).
% 16.10/16.07 all A_71 (is_int(A_71)->plus_plus_int(zero_zero_int,A_71)=A_71).
% 16.10/16.07 all A_71 (plus_plus_nat(zero_zero_nat,A_71)=A_71).
% 16.10/16.07 all A_71 (plus_plus_real(zero_zero_real,A_71)=A_71).
% 16.10/16.07 all A_70 (is_int(A_70)->plus_plus_int(zero_zero_int,A_70)=A_70).
% 16.10/16.07 all A_70 (plus_plus_nat(zero_zero_nat,A_70)=A_70).
% 16.10/16.07 all A_70 (plus_plus_real(zero_zero_real,A_70)=A_70).
% 16.10/16.07 all C_34 A_69 B_51 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_34,A_69)),plus_plus_int(C_34,B_51)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_69),B_51))).
% 16.10/16.07 all C_34 A_69 B_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_34,A_69)),plus_plus_nat(C_34,B_51)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_69),B_51))).
% 16.10/16.07 all C_34 A_69 B_51 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_34,A_69)),plus_plus_real(C_34,B_51)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_69),B_51))).
% 16.10/16.07 all A_68 C_33 B_50 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_68,C_33)),plus_plus_int(B_50,C_33)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_68),B_50))).
% 16.10/16.07 all A_68 C_33 B_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_68,C_33)),plus_plus_nat(B_50,C_33)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_68),B_50))).
% 16.10/16.07 all A_68 C_33 B_50 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_68,C_33)),plus_plus_real(B_50,C_33)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_68),B_50))).
% 16.10/16.07 all C_32 D_11 A_67 B_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_67),B_49))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_32),D_11))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_67,C_32)),plus_plus_int(B_49,D_11))))).
% 16.10/16.07 all C_32 D_11 A_67 B_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_67),B_49))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_32),D_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_67,C_32)),plus_plus_nat(B_49,D_11))))).
% 16.10/16.07 all C_32 D_11 A_67 B_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_67),B_49))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_32),D_11))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_67,C_32)),plus_plus_real(B_49,D_11))))).
% 16.10/16.07 all C_31 A_66 B_48 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_66),B_48))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_31,A_66)),plus_plus_int(C_31,B_48)))).
% 16.10/16.07 all C_31 A_66 B_48 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_66),B_48))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_31,A_66)),plus_plus_nat(C_31,B_48)))).
% 16.10/16.07 all C_31 A_66 B_48 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_66),B_48))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_31,A_66)),plus_plus_real(C_31,B_48)))).
% 16.10/16.07 all C_30 A_65 B_47 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_65),B_47))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_65,C_30)),plus_plus_int(B_47,C_30)))).
% 16.10/16.07 all C_30 A_65 B_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_65),B_47))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_65,C_30)),plus_plus_nat(B_47,C_30)))).
% 16.10/16.07 all C_30 A_65 B_47 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_65),B_47))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_65,C_30)),plus_plus_real(B_47,C_30)))).
% 16.10/16.07 all C_1 A_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))).
% 16.10/16.07 all C_1 A_1 B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))).
% 16.10/16.07 all C_1 A_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))).
% 16.10/16.07 all X_12 (is_int(X_12)->hAPP_nat_int(power_power_int(X_12),one_one_nat)=X_12).
% 16.10/16.07 all X_12 (hAPP_nat_nat(power_power_nat(X_12),one_one_nat)=X_12).
% 16.10/16.07 all X_12 (hAPP_nat_real(power_power_real(X_12),one_one_nat)=X_12).
% 16.10/16.07 all Ma Na (hAPP_nat_nat(power_power_nat(Ma),Na)=zero_zero_nat<->Na!=zero_zero_nat&Ma=zero_zero_nat).
% 16.10/16.07 all A N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))-> (exists X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))&hAPP_nat_real(power_power_real(X_1),N)=A& (all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))&hAPP_nat_real(power_power_real(Y_1),N)=A->Y_1=X_1)))))).
% 16.10/16.07 all A N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))-> (exists R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R))&hAPP_nat_real(power_power_real(R),N)=A)))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 16.10/16.07 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->plus_plus_nat(number_number_of_nat(V_1),one_one_nat)=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->plus_plus_nat(number_number_of_nat(V_1),one_one_nat)=number_number_of_nat(succ(V_1)))).
% 16.10/16.07 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->plus_plus_nat(one_one_nat,number_number_of_nat(V_1))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->plus_plus_nat(one_one_nat,number_number_of_nat(V_1))=number_number_of_nat(succ(V_1)))).
% 16.10/16.07 all A B_1 (hAPP_nat_int(power_power_int(plus_plus_int(A,B_1)),number_number_of_nat(bit1(bit1(pls))))=plus_plus_int(plus_plus_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),B_1)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit1(bit1(pls)))))).
% 16.10/16.07 all A B_1 (hAPP_nat_int(power_power_int(plus_plus_int(A,B_1)),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B_1)),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))).
% 16.10/16.07 tn=minus_minus_nat(nat(t),one_one_nat).
% 16.10/16.07 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(nat(t),one_one_nat))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A_1,B)),zero_zero_int))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A_1,B)),zero_zero_real))).
% 16.10/16.07 all A_64 B_46 (times_times_int(A_64,B_46)=times_times_int(B_46,A_64)).
% 16.10/16.07 all A_64 B_46 (times_times_nat(A_64,B_46)=times_times_nat(B_46,A_64)).
% 16.10/16.07 all A_64 B_46 (times_times_real(A_64,B_46)=times_times_real(B_46,A_64)).
% 16.10/16.07 all Lx_6 Rx_6 Ry_4 (times_times_int(Lx_6,times_times_int(Rx_6,Ry_4))=times_times_int(Rx_6,times_times_int(Lx_6,Ry_4))).
% 16.10/16.07 all Lx_6 Rx_6 Ry_4 (times_times_nat(Lx_6,times_times_nat(Rx_6,Ry_4))=times_times_nat(Rx_6,times_times_nat(Lx_6,Ry_4))).
% 16.10/16.07 all Lx_6 Rx_6 Ry_4 (times_times_real(Lx_6,times_times_real(Rx_6,Ry_4))=times_times_real(Rx_6,times_times_real(Lx_6,Ry_4))).
% 16.10/16.07 all Lx_5 Rx_5 Ry_3 (times_times_int(Lx_5,times_times_int(Rx_5,Ry_3))=times_times_int(times_times_int(Lx_5,Rx_5),Ry_3)).
% 16.10/16.07 all Lx_5 Rx_5 Ry_3 (times_times_nat(Lx_5,times_times_nat(Rx_5,Ry_3))=times_times_nat(times_times_nat(Lx_5,Rx_5),Ry_3)).
% 16.10/16.07 all Lx_5 Rx_5 Ry_3 (times_times_real(Lx_5,times_times_real(Rx_5,Ry_3))=times_times_real(times_times_real(Lx_5,Rx_5),Ry_3)).
% 16.10/16.07 all A_63 B_45 C_29 (times_times_int(times_times_int(A_63,B_45),C_29)=times_times_int(A_63,times_times_int(B_45,C_29))).
% 16.10/16.07 all A_63 B_45 C_29 (times_times_nat(times_times_nat(A_63,B_45),C_29)=times_times_nat(A_63,times_times_nat(B_45,C_29))).
% 16.10/16.07 all A_63 B_45 C_29 (times_times_real(times_times_real(A_63,B_45),C_29)=times_times_real(A_63,times_times_real(B_45,C_29))).
% 16.10/16.07 all Lx_4 Ly_4 Rx_4 (times_times_int(times_times_int(Lx_4,Ly_4),Rx_4)=times_times_int(Lx_4,times_times_int(Ly_4,Rx_4))).
% 16.10/16.07 all Lx_4 Ly_4 Rx_4 (times_times_nat(times_times_nat(Lx_4,Ly_4),Rx_4)=times_times_nat(Lx_4,times_times_nat(Ly_4,Rx_4))).
% 16.10/16.07 all Lx_4 Ly_4 Rx_4 (times_times_real(times_times_real(Lx_4,Ly_4),Rx_4)=times_times_real(Lx_4,times_times_real(Ly_4,Rx_4))).
% 16.10/16.07 all Lx_3 Ly_3 Rx_3 (times_times_int(times_times_int(Lx_3,Ly_3),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_3)).
% 16.10/16.07 all Lx_3 Ly_3 Rx_3 (times_times_nat(times_times_nat(Lx_3,Ly_3),Rx_3)=times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_3)).
% 16.10/16.07 all Lx_3 Ly_3 Rx_3 (times_times_real(times_times_real(Lx_3,Ly_3),Rx_3)=times_times_real(times_times_real(Lx_3,Rx_3),Ly_3)).
% 16.10/16.07 all Lx_2 Ly_2 Rx_2 Ry_2 (times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2))=times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2)))).
% 16.10/16.07 all Lx_2 Ly_2 Rx_2 Ry_2 (times_times_nat(times_times_nat(Lx_2,Ly_2),times_times_nat(Rx_2,Ry_2))=times_times_nat(Lx_2,times_times_nat(Ly_2,times_times_nat(Rx_2,Ry_2)))).
% 16.10/16.07 all Lx_2 Ly_2 Rx_2 Ry_2 (times_times_real(times_times_real(Lx_2,Ly_2),times_times_real(Rx_2,Ry_2))=times_times_real(Lx_2,times_times_real(Ly_2,times_times_real(Rx_2,Ry_2)))).
% 16.10/16.07 all Lx_1 Ly_1 Rx_1 Ry_1 (times_times_real(times_times_real(Lx_1,Ly_1),times_times_real(Rx_1,Ry_1))=times_times_real(Rx_1,times_times_real(times_times_real(Lx_1,Ly_1),Ry_1))).
% 16.10/16.07 all Lx_1 Ly_1 Rx_1 Ry_1 (times_times_nat(times_times_nat(Lx_1,Ly_1),times_times_nat(Rx_1,Ry_1))=times_times_nat(Rx_1,times_times_nat(times_times_nat(Lx_1,Ly_1),Ry_1))).
% 16.10/16.07 all Lx_1 Ly_1 Rx_1 Ry_1 (times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1))=times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1))).
% 16.10/16.07 all Lx Ly Rx Ry (times_times_real(times_times_real(Lx,Ly),times_times_real(Rx,Ry))=times_times_real(times_times_real(Lx,Rx),times_times_real(Ly,Ry))).
% 16.10/16.07 all Lx Ly Rx Ry (times_times_nat(times_times_nat(Lx,Ly),times_times_nat(Rx,Ry))=times_times_nat(times_times_nat(Lx,Rx),times_times_nat(Ly,Ry))).
% 16.10/16.07 all Lx Ly Rx Ry (times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry))=times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry))).
% 16.10/16.07 all A_1 B C_1 D (is_int(A_1)&is_int(B)&is_int(C_1)&is_int(D)-> (minus_minus_int(A_1,B)=minus_minus_int(C_1,D)-> (A_1=B<->C_1=D))).
% 16.10/16.07 all A_1 B C_1 D (minus_minus_real(A_1,B)=minus_minus_real(C_1,D)-> (A_1=B<->C_1=D)).
% 16.10/16.07 all A_1 B C_1 D (minus_minus_int(A_1,B)=minus_minus_int(C_1,D)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),D)))).
% 16.10/16.07 all A_1 B C_1 D (minus_minus_real(A_1,B)=minus_minus_real(C_1,D)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),D)))).
% 16.10/16.07 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->times_times_real(number267125858f_real(V_12),number267125858f_real(V_13))=number267125858f_real(times_times_int(V_12,V_13)))).
% 16.10/16.07 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->times_times_nat(number_number_of_nat(V_12),number_number_of_nat(V_13))=number_number_of_nat(times_times_int(V_12,V_13)))).
% 16.10/16.07 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->times_times_int(number_number_of_int(V_12),number_number_of_int(V_13))=number_number_of_int(times_times_int(V_12,V_13)))).
% 16.10/16.07 all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 16.10/16.07 all Z W (times_times_int(Z,W)=times_times_int(W,Z)).
% 16.10/16.07 all Z W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))).
% 16.10/16.07 all Z1 Z2 Z3 (times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),K_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1)))).
% 16.10/16.07 all Z W (is_int(Z)&is_int(W)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))->Z=W))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 16.10/16.07 all V_11 W_6 (number267125858f_real(times_times_int(V_11,W_6))=times_times_real(number267125858f_real(V_11),number267125858f_real(W_6))).
% 16.10/16.07 all V_11 W_6 (number_number_of_int(times_times_int(V_11,W_6))=times_times_int(number_number_of_int(V_11),number_number_of_int(W_6))).
% 16.10/16.07 all V_10 W_5 (times_times_real(number267125858f_real(V_10),number267125858f_real(W_5))=number267125858f_real(times_times_int(V_10,W_5))).
% 16.10/16.07 all V_10 W_5 (times_times_int(number_number_of_int(V_10),number_number_of_int(W_5))=number_number_of_int(times_times_int(V_10,W_5))).
% 16.10/16.07 all V_9 W_4 Z_5 (times_times_real(number267125858f_real(V_9),times_times_real(number267125858f_real(W_4),Z_5))=times_times_real(number267125858f_real(times_times_int(V_9,W_4)),Z_5)).
% 16.10/16.07 all V_9 W_4 Z_5 (times_times_int(number_number_of_int(V_9),times_times_int(number_number_of_int(W_4),Z_5))=times_times_int(number_number_of_int(times_times_int(V_9,W_4)),Z_5)).
% 16.10/16.07 all Z_4 Z_1 (is_int(Z_4)&is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_4))-> (nat(Z_1)=nat(Z_4)<->Z_1=Z_4)))).
% 16.10/16.07 all V_8 B_44 C_28 (times_times_int(number_number_of_int(V_8),minus_minus_int(B_44,C_28))=minus_minus_int(times_times_int(number_number_of_int(V_8),B_44),times_times_int(number_number_of_int(V_8),C_28))).
% 16.10/16.07 all V_8 B_44 C_28 (times_times_real(number267125858f_real(V_8),minus_minus_real(B_44,C_28))=minus_minus_real(times_times_real(number267125858f_real(V_8),B_44),times_times_real(number267125858f_real(V_8),C_28))).
% 16.10/16.07 all A_62 B_43 V_7 (times_times_int(minus_minus_int(A_62,B_43),number_number_of_int(V_7))=minus_minus_int(times_times_int(A_62,number_number_of_int(V_7)),times_times_int(B_43,number_number_of_int(V_7)))).
% 16.10/16.07 all A_62 B_43 V_7 (times_times_real(minus_minus_real(A_62,B_43),number267125858f_real(V_7))=minus_minus_real(times_times_real(A_62,number267125858f_real(V_7)),times_times_real(B_43,number267125858f_real(V_7)))).
% 16.10/16.07 all V_6 W_3 (number_number_of_int(minus_minus_int(V_6,W_3))=minus_minus_int(number_number_of_int(V_6),number_number_of_int(W_3))).
% 16.10/16.07 all V_6 W_3 (number267125858f_real(minus_minus_int(V_6,W_3))=minus_minus_real(number267125858f_real(V_6),number267125858f_real(W_3))).
% 16.10/16.07 all M_4 N_10 (hAPP_nat_real(semiri132038758t_real,times_times_nat(M_4,N_10))=times_times_real(hAPP_nat_real(semiri132038758t_real,M_4),hAPP_nat_real(semiri132038758t_real,N_10))).
% 16.10/16.07 all M_4 N_10 (hAPP_nat_nat(semiri984289939at_nat,times_times_nat(M_4,N_10))=times_times_nat(hAPP_nat_nat(semiri984289939at_nat,M_4),hAPP_nat_nat(semiri984289939at_nat,N_10))).
% 16.10/16.07 all M_4 N_10 (hAPP_nat_int(semiri1621563631at_int,times_times_nat(M_4,N_10))=times_times_int(hAPP_nat_int(semiri1621563631at_int,M_4),hAPP_nat_int(semiri1621563631at_int,N_10))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 16.10/16.07 all I_2 J_1 K_1 (minus_minus_nat(minus_minus_nat(I_2,J_1),K_1)=minus_minus_nat(minus_minus_nat(I_2,K_1),J_1)).
% 16.10/16.07 all Xa Ya P_1 ((hBOOL(P_1)->nat(Xa)=nat(if_int(P_1,Xa,Ya)))& (-hBOOL(P_1)->nat(Ya)=nat(if_int(P_1,Xa,Ya)))).
% 16.10/16.07 all B_42 A_61 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_61))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_42),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_61),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_42))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_61,B_42)),zero_zero_real))).
% 16.10/16.07 all B_42 A_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_61))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_42),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_61),zero_zero_nat))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_42))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_61,B_42)),zero_zero_nat))).
% 16.10/16.07 all B_42 A_61 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_61))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_42),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_61),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_42))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_61,B_42)),zero_zero_int))).
% 16.10/16.07 all B_41 A_60 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_60))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_41))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_60),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_41),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_60,B_41)))).
% 16.10/16.07 all B_41 A_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_60))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_41))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_60),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_41),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_60,B_41)))).
% 16.10/16.07 all C_27 D_10 A_59 B_40 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_59),B_40))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_27),D_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_40))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_27))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_59,C_27)),times_times_real(B_40,D_10))))))).
% 16.10/16.07 all C_27 D_10 A_59 B_40 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_59),B_40))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_27),D_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_40))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_59,C_27)),times_times_nat(B_40,D_10))))))).
% 16.10/16.07 all C_27 D_10 A_59 B_40 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_59),B_40))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_27),D_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_40))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_27))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_59,C_27)),times_times_int(B_40,D_10))))))).
% 16.10/16.07 all C_26 D_9 A_58 B_39 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_58),B_39))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_26),D_9))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_58))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_26))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_58,C_26)),times_times_real(B_39,D_9))))))).
% 16.10/16.07 all C_26 D_9 A_58 B_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_58),B_39))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_26),D_9))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_58))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_26))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_58,C_26)),times_times_nat(B_39,D_9))))))).
% 16.10/16.07 all C_26 D_9 A_58 B_39 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_58),B_39))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_26),D_9))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_58))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_26))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_58,C_26)),times_times_int(B_39,D_9))))))).
% 16.10/16.07 all C_25 B_38 A_57 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_38),A_57))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_25),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_25,A_57)),times_times_real(C_25,B_38))))).
% 16.10/16.07 all C_25 B_38 A_57 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_38),A_57))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_25),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_25,A_57)),times_times_int(C_25,B_38))))).
% 16.10/16.07 all C_24 B_37 A_56 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_37),A_56))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_24),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_56,C_24)),times_times_real(B_37,C_24))))).
% 16.10/16.07 all C_24 B_37 A_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_37),A_56))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_24),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_56,C_24)),times_times_int(B_37,C_24))))).
% 16.10/16.07 all C_23 A_55 B_36 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_55),B_36))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_23))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_23,A_55)),times_times_real(C_23,B_36))))).
% 16.10/16.07 all C_23 A_55 B_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_55),B_36))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_23))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_23,A_55)),times_times_nat(C_23,B_36))))).
% 16.10/16.07 all C_23 A_55 B_36 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_55),B_36))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_23))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_23,A_55)),times_times_int(C_23,B_36))))).
% 16.10/16.07 all C_22 A_54 B_35 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_54),B_35))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_22))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_22,A_54)),times_times_real(C_22,B_35))))).
% 16.10/16.07 all C_22 A_54 B_35 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_54),B_35))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_22))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_22,A_54)),times_times_nat(C_22,B_35))))).
% 16.10/16.07 all C_22 A_54 B_35 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_54),B_35))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_22))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_22,A_54)),times_times_int(C_22,B_35))))).
% 16.10/16.07 all C_21 A_53 B_34 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_53),B_34))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_21))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_53,C_21)),times_times_real(B_34,C_21))))).
% 16.10/16.07 all C_21 A_53 B_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_53),B_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_53,C_21)),times_times_nat(B_34,C_21))))).
% 16.10/16.07 all C_21 A_53 B_34 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_53),B_34))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_21))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_53,C_21)),times_times_int(B_34,C_21))))).
% 16.10/16.07 all B_33 A_52 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_52),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_33),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_52,B_33))))).
% 16.10/16.07 all B_33 A_52 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_52),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_33),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_52,B_33))))).
% 16.10/16.07 all B_32 A_51 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_51),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_32))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_51,B_32)),zero_zero_real)))).
% 16.10/16.07 all B_32 A_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_51),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_51,B_32)),zero_zero_nat)))).
% 16.10/16.07 all B_32 A_51 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_51),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_51,B_32)),zero_zero_int)))).
% 16.10/16.07 all B_31 A_50 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_50))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_31),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B_31,A_50)),zero_zero_real)))).
% 16.10/16.07 all B_31 A_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_50))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_31),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(B_31,A_50)),zero_zero_nat)))).
% 16.10/16.07 all B_31 A_50 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_50))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_31),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B_31,A_50)),zero_zero_int)))).
% 16.10/16.07 all B_30 A_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_49))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_30),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_49,B_30)),zero_zero_real)))).
% 16.10/16.07 all B_30 A_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_49))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_30),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_49,B_30)),zero_zero_nat)))).
% 16.10/16.07 all B_30 A_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_49))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_30),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_49,B_30)),zero_zero_int)))).
% 16.10/16.07 all Ya Xa (is_int(Ya)&is_int(Xa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (nat(Xa)=nat(Ya)<->Xa=Ya)))).
% 16.10/16.07 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(X,Y))))).
% 16.10/16.07 all B_29 A_48 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_48))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_29))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_48,B_29))))).
% 16.10/16.07 all B_29 A_48 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_48))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),times_times_nat(A_48,B_29))))).
% 16.10/16.07 all B_29 A_48 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_48))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_29))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_48,B_29))))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D))).
% 16.10/16.07 all A_1 E_1 C_1 B D (plus_plus_real(times_times_real(A_1,E_1),C_1)=plus_plus_real(times_times_real(B,E_1),D)<->plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)=D).
% 16.10/16.07 all A_1 E_1 C_1 B D (is_int(D)-> (plus_plus_int(times_times_int(A_1,E_1),C_1)=plus_plus_int(times_times_int(B,E_1),D)<->plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)=D)).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D)))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D)))).
% 16.10/16.07 all A_1 E_1 C_1 B D (plus_plus_real(times_times_real(A_1,E_1),C_1)=plus_plus_real(times_times_real(B,E_1),D)<->C_1=plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D)).
% 16.10/16.07 all A_1 E_1 C_1 B D (is_int(C_1)-> (plus_plus_int(times_times_int(A_1,E_1),C_1)=plus_plus_int(times_times_int(B,E_1),D)<->C_1=plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))).
% 16.10/16.07 all X_11 Y_9 A_47 B_28 (minus_minus_real(times_times_real(X_11,Y_9),times_times_real(A_47,B_28))=plus_plus_real(times_times_real(X_11,minus_minus_real(Y_9,B_28)),times_times_real(minus_minus_real(X_11,A_47),B_28))).
% 16.10/16.07 all X_11 Y_9 A_47 B_28 (minus_minus_int(times_times_int(X_11,Y_9),times_times_int(A_47,B_28))=plus_plus_int(times_times_int(X_11,minus_minus_int(Y_9,B_28)),times_times_int(minus_minus_int(X_11,A_47),B_28))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))).
% 16.10/16.07 all P_1 ((all X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(hAPP_nat_bool(P_1,nat(X_1))))))).
% 16.10/16.07 all P_1 ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(hAPP_nat_bool(P_1,nat(X_1)))))).
% 16.10/16.07 all A_46 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_46,A_46))).
% 16.10/16.07 all A_46 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_46,A_46))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D)))).
% 16.10/16.07 all A_1 E_1 C_1 B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D)))).
% 16.10/16.07 all X_10 (minus_minus_real(times_times_real(X_10,X_10),one_one_real)=times_times_real(plus_plus_real(X_10,one_one_real),minus_minus_real(X_10,one_one_real))).
% 16.10/16.07 all X_10 (minus_minus_int(times_times_int(X_10,X_10),one_one_int)=times_times_int(plus_plus_int(X_10,one_one_int),minus_minus_int(X_10,one_one_int))).
% 16.10/16.07 all C_20 A_45 B_27 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_20,A_45)),times_times_real(C_20,B_27)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_20))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_45),B_27)))).
% 16.10/16.07 all C_20 A_45 B_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_20,A_45)),times_times_nat(C_20,B_27)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_45),B_27)))).
% 16.10/16.07 all C_20 A_45 B_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_20,A_45)),times_times_int(C_20,B_27)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_20))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_45),B_27)))).
% 16.10/16.07 all A_44 C_19 B_26 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_44,C_19)),times_times_real(B_26,C_19)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_19))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_44),B_26)))).
% 16.10/16.07 all A_44 C_19 B_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_44,C_19)),times_times_nat(B_26,C_19)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_19))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_44),B_26)))).
% 16.10/16.07 all A_44 C_19 B_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_44,C_19)),times_times_int(B_26,C_19)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_19))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_44),B_26)))).
% 16.10/16.07 all C_18 A_43 B_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(C_18,A_43)),times_times_real(C_18,B_25)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_18))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_43),B_25)))).
% 16.10/16.07 all C_18 A_43 B_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_18,A_43)),times_times_nat(C_18,B_25)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_43),B_25)))).
% 16.10/16.07 all C_18 A_43 B_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_18,A_43)),times_times_int(C_18,B_25)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_18))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_43),B_25)))).
% 16.10/16.07 all C_17 A_42 B_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(C_17,A_42)),times_times_real(C_17,B_24)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_17))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_42),B_24)))).
% 16.10/16.07 all C_17 A_42 B_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_17,A_42)),times_times_nat(C_17,B_24)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_42),B_24)))).
% 16.10/16.07 all C_17 A_42 B_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_17,A_42)),times_times_int(C_17,B_24)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_42),B_24)))).
% 16.10/16.07 all A_41 C_16 B_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_41,C_16)),times_times_real(B_23,C_16)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_41),B_23)))).
% 16.10/16.07 all A_41 C_16 B_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_41,C_16)),times_times_nat(B_23,C_16)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_41),B_23)))).
% 16.10/16.07 all A_41 C_16 B_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_41,C_16)),times_times_int(B_23,C_16)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_41),B_23)))).
% 16.10/16.07 all A_40 C_15 B_22 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_40,C_15)),times_times_real(B_22,C_15)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_40),B_22)))).
% 16.10/16.07 all A_40 C_15 B_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_40,C_15)),times_times_nat(B_22,C_15)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_40),B_22)))).
% 16.10/16.07 all A_40 C_15 B_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_40,C_15)),times_times_int(B_22,C_15)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_40),B_22)))).
% 16.10/16.07 all C_14 D_8 A_39 B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_39),B_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_14),D_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_39))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_14))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_39,C_14)),times_times_real(B_21,D_8))))))).
% 16.10/16.07 all C_14 D_8 A_39 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_39),B_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_14),D_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_39))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_14))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_39,C_14)),times_times_nat(B_21,D_8))))))).
% 16.10/16.07 all C_14 D_8 A_39 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_39),B_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_14),D_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_39))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_14))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_39,C_14)),times_times_int(B_21,D_8))))))).
% 16.10/16.07 all C_13 D_7 A_38 B_20 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_38),B_20))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_13),D_7))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_38))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_38,C_13)),times_times_real(B_20,D_7))))))).
% 16.10/16.07 all C_13 D_7 A_38 B_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_38),B_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_13),D_7))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_38))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_38,C_13)),times_times_nat(B_20,D_7))))))).
% 16.10/16.07 all C_13 D_7 A_38 B_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_38),B_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_13),D_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_38))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_38,C_13)),times_times_int(B_20,D_7))))))).
% 16.10/16.07 all C_12 D_6 A_37 B_19 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_37),B_19))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_12),D_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_37))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_12))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_37,C_12)),times_times_real(B_19,D_6))))))).
% 16.10/16.07 all C_12 D_6 A_37 B_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_37),B_19))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_12),D_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_37))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_37,C_12)),times_times_nat(B_19,D_6))))))).
% 16.10/16.07 all C_12 D_6 A_37 B_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_37),B_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_12),D_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_37))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_37,C_12)),times_times_int(B_19,D_6))))))).
% 16.10/16.07 all C_11 D_5 A_36 B_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_36),B_18))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_11),D_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_18))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_11))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_36,C_11)),times_times_real(B_18,D_5))))))).
% 16.10/16.07 all C_11 D_5 A_36 B_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_36),B_18))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_11),D_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_18))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_36,C_11)),times_times_nat(B_18,D_5))))))).
% 16.10/16.07 all C_11 D_5 A_36 B_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_36),B_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_11),D_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_11))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_36,C_11)),times_times_int(B_18,D_5))))))).
% 16.10/16.07 all A_1 B C_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A_1)))).
% 16.10/16.07 all A_1 B C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A_1)))).
% 16.10/16.07 all A_1 B C_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)))).
% 16.10/16.07 all A_1 B C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)))).
% 16.10/16.07 all X_9 Y_8 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),plus_plus_real(times_times_real(X_9,X_9),times_times_real(Y_8,Y_8)))).
% 16.10/16.07 all X_9 Y_8 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(X_9,X_9),times_times_int(Y_8,Y_8)))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))),zero_zero_real))<->Xa=zero_zero_real&Ya=zero_zero_real).
% 16.10/16.07 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Xa,Xa),times_times_int(Ya,Ya))),zero_zero_int))<->Xa=zero_zero_int&Ya=zero_zero_int)).
% 16.10/16.07 all Y_7 X_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_7))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_7),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(X_8,Y_7)),X_8))))).
% 16.10/16.07 all Y_7 X_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_7),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(X_8,Y_7)),X_8))))).
% 16.10/16.07 all Y_6 X_7 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_7))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_6),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Y_6,X_7)),X_7))))).
% 16.10/16.07 all Y_6 X_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(Y_6,X_7)),X_7))))).
% 16.10/16.07 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),zero_zero_int))->nat(Z)=zero_zero_nat).
% 16.10/16.07 all I_1 (nat(I_1)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int))).
% 16.10/16.07 all A_35 N_9 N_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_9),N_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_35))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_35),N_9)),hAPP_nat_real(power_power_real(A_35),N_8))))).
% 16.10/16.07 all A_35 N_9 N_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_9),N_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_35))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_35),N_9)),hAPP_nat_nat(power_power_nat(A_35),N_8))))).
% 16.10/16.07 all A_35 N_9 N_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_9),N_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_35))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_35),N_9)),hAPP_nat_int(power_power_int(A_35),N_8))))).
% 16.10/16.07 all Z (is_int(Z)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->hAPP_nat_int(semiri1621563631at_int,nat(Z))=Z)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->hAPP_nat_int(semiri1621563631at_int,nat(Z))=zero_zero_int)).
% 16.10/16.07 all Ma Z_1 (is_int(Z_1)-> (hAPP_nat_int(semiri1621563631at_int,Ma)=Z_1<->Ma=nat(Z_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1)))).
% 16.10/16.07 all Z (is_int(Z)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->hAPP_nat_int(semiri1621563631at_int,nat(Z))=Z)).
% 16.10/16.07 all A_1 B (minus_minus_real(A_1,B)=zero_zero_real<->A_1=B).
% 16.10/16.07 all A_1 B (is_int(A_1)&is_int(B)-> (minus_minus_int(A_1,B)=zero_zero_int<->A_1=B)).
% 16.10/16.07 all A_1 B (A_1=B<->minus_minus_real(A_1,B)=zero_zero_real).
% 16.10/16.07 all A_1 B (is_int(A_1)&is_int(B)-> (A_1=B<->minus_minus_int(A_1,B)=zero_zero_int)).
% 16.10/16.07 all A_34 (minus_minus_real(A_34,A_34)=zero_zero_real).
% 16.10/16.07 all A_34 (minus_minus_int(A_34,A_34)=zero_zero_int).
% 16.10/16.07 all A_33 (minus_minus_real(A_33,zero_zero_real)=A_33).
% 16.10/16.07 all A_33 (is_int(A_33)->minus_minus_int(A_33,zero_zero_int)=A_33).
% 16.10/16.07 all A_1 B C_1 D (minus_minus_int(A_1,B)=minus_minus_int(C_1,D)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D)))).
% 16.10/16.07 all A_1 B C_1 D (minus_minus_real(A_1,B)=minus_minus_real(C_1,D)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D)))).
% 16.10/16.07 all A_32 C_10 B_17 D_4 (minus_minus_real(plus_plus_real(A_32,C_10),plus_plus_real(B_17,D_4))=plus_plus_real(minus_minus_real(A_32,B_17),minus_minus_real(C_10,D_4))).
% 16.10/16.07 all A_32 C_10 B_17 D_4 (minus_minus_int(plus_plus_int(A_32,C_10),plus_plus_int(B_17,D_4))=plus_plus_int(minus_minus_int(A_32,B_17),minus_minus_int(C_10,D_4))).
% 16.10/16.07 all A_31 B_16 (minus_minus_real(plus_plus_real(A_31,B_16),B_16)=A_31).
% 16.10/16.07 all A_31 B_16 (is_int(A_31)->minus_minus_int(plus_plus_int(A_31,B_16),B_16)=A_31).
% 16.10/16.07 all A_30 B_15 (plus_plus_real(minus_minus_real(A_30,B_15),B_15)=A_30).
% 16.10/16.07 all A_30 B_15 (is_int(A_30)->plus_plus_int(minus_minus_int(A_30,B_15),B_15)=A_30).
% 16.10/16.07 all A_29 (times_times_real(zero_zero_real,A_29)=zero_zero_real).
% 16.10/16.07 all A_29 (times_times_nat(zero_zero_nat,A_29)=zero_zero_nat).
% 16.10/16.07 all A_29 (times_times_int(zero_zero_int,A_29)=zero_zero_int).
% 16.10/16.07 all A_28 (times_times_real(A_28,zero_zero_real)=zero_zero_real).
% 16.10/16.07 all A_28 (times_times_nat(A_28,zero_zero_nat)=zero_zero_nat).
% 16.10/16.07 all A_28 (times_times_int(A_28,zero_zero_int)=zero_zero_int).
% 16.10/16.07 all A_1 B (times_times_real(A_1,B)=zero_zero_real<->A_1=zero_zero_real|B=zero_zero_real).
% 16.10/16.07 all A_1 B (is_int(A_1)&is_int(B)-> (times_times_int(A_1,B)=zero_zero_int<->A_1=zero_zero_int|B=zero_zero_int)).
% 16.10/16.07 all B_14 A_27 (A_27!=zero_zero_real-> (B_14!=zero_zero_real->times_times_real(A_27,B_14)!=zero_zero_real)).
% 16.10/16.07 all B_14 A_27 (A_27!=zero_zero_nat-> (B_14!=zero_zero_nat->times_times_nat(A_27,B_14)!=zero_zero_nat)).
% 16.10/16.07 all B_14 A_27 (is_int(B_14)&is_int(A_27)-> (A_27!=zero_zero_int-> (B_14!=zero_zero_int->times_times_int(A_27,B_14)!=zero_zero_int))).
% 16.10/16.07 all A_26 B_13 (times_times_real(A_26,B_13)=zero_zero_real->A_26=zero_zero_real|B_13=zero_zero_real).
% 16.10/16.07 all A_26 B_13 (times_times_nat(A_26,B_13)=zero_zero_nat->A_26=zero_zero_nat|B_13=zero_zero_nat).
% 16.10/16.07 all A_26 B_13 (is_int(A_26)&is_int(B_13)-> (times_times_int(A_26,B_13)=zero_zero_int->A_26=zero_zero_int|B_13=zero_zero_int)).
% 16.10/16.07 all A_25 (times_times_real(A_25,zero_zero_real)=zero_zero_real).
% 16.10/16.07 all A_25 (times_times_nat(A_25,zero_zero_nat)=zero_zero_nat).
% 16.10/16.07 all A_25 (times_times_int(A_25,zero_zero_int)=zero_zero_int).
% 16.10/16.07 all A_24 (times_times_real(zero_zero_real,A_24)=zero_zero_real).
% 16.10/16.07 all A_24 (times_times_nat(zero_zero_nat,A_24)=zero_zero_nat).
% 16.10/16.07 all A_24 (times_times_int(zero_zero_int,A_24)=zero_zero_int).
% 16.10/16.07 all M N (minus_minus_nat(M,N)=zero_zero_nat-> (minus_minus_nat(N,M)=zero_zero_nat->M=N)).
% 16.10/16.07 all M (minus_minus_nat(M,M)=zero_zero_nat).
% 16.10/16.07 all M (minus_minus_nat(M,zero_zero_nat)=M).
% 16.10/16.07 all N (minus_minus_nat(zero_zero_nat,N)=zero_zero_nat).
% 16.10/16.07 all A_23 B_12 C_9 (times_times_real(plus_plus_real(A_23,B_12),C_9)=plus_plus_real(times_times_real(A_23,C_9),times_times_real(B_12,C_9))).
% 16.10/16.07 all A_23 B_12 C_9 (times_times_nat(plus_plus_nat(A_23,B_12),C_9)=plus_plus_nat(times_times_nat(A_23,C_9),times_times_nat(B_12,C_9))).
% 16.10/16.07 all A_23 B_12 C_9 (times_times_int(plus_plus_int(A_23,B_12),C_9)=plus_plus_int(times_times_int(A_23,C_9),times_times_int(B_12,C_9))).
% 16.10/16.07 all A_22 E B_11 C_8 (plus_plus_real(times_times_real(A_22,E),plus_plus_real(times_times_real(B_11,E),C_8))=plus_plus_real(times_times_real(plus_plus_real(A_22,B_11),E),C_8)).
% 16.10/16.07 all A_22 E B_11 C_8 (plus_plus_nat(times_times_nat(A_22,E),plus_plus_nat(times_times_nat(B_11,E),C_8))=plus_plus_nat(times_times_nat(plus_plus_nat(A_22,B_11),E),C_8)).
% 16.10/16.07 all A_22 E B_11 C_8 (plus_plus_int(times_times_int(A_22,E),plus_plus_int(times_times_int(B_11,E),C_8))=plus_plus_int(times_times_int(plus_plus_int(A_22,B_11),E),C_8)).
% 16.10/16.07 all Wa Ya Xa Z_1 (plus_plus_real(times_times_real(Wa,Ya),times_times_real(Xa,Z_1))=plus_plus_real(times_times_real(Wa,Z_1),times_times_real(Xa,Ya))<->Wa=Xa|Ya=Z_1).
% 16.10/16.07 all Wa Ya Xa Z_1 (plus_plus_nat(times_times_nat(Wa,Ya),times_times_nat(Xa,Z_1))=plus_plus_nat(times_times_nat(Wa,Z_1),times_times_nat(Xa,Ya))<->Wa=Xa|Ya=Z_1).
% 16.10/16.07 all Wa Ya Xa Z_1 (is_int(Wa)&is_int(Ya)&is_int(Xa)&is_int(Z_1)-> (plus_plus_int(times_times_int(Wa,Ya),times_times_int(Xa,Z_1))=plus_plus_int(times_times_int(Wa,Z_1),times_times_int(Xa,Ya))<->Wa=Xa|Ya=Z_1)).
% 16.10/16.07 all A_21 M_3 B_10 (plus_plus_real(times_times_real(A_21,M_3),times_times_real(B_10,M_3))=times_times_real(plus_plus_real(A_21,B_10),M_3)).
% 16.10/16.07 all A_21 M_3 B_10 (plus_plus_nat(times_times_nat(A_21,M_3),times_times_nat(B_10,M_3))=times_times_nat(plus_plus_nat(A_21,B_10),M_3)).
% 16.10/16.07 all A_21 M_3 B_10 (plus_plus_int(times_times_int(A_21,M_3),times_times_int(B_10,M_3))=times_times_int(plus_plus_int(A_21,B_10),M_3)).
% 16.10/16.07 all A_20 B_9 C_7 (times_times_real(plus_plus_real(A_20,B_9),C_7)=plus_plus_real(times_times_real(A_20,C_7),times_times_real(B_9,C_7))).
% 16.10/16.07 all A_20 B_9 C_7 (times_times_nat(plus_plus_nat(A_20,B_9),C_7)=plus_plus_nat(times_times_nat(A_20,C_7),times_times_nat(B_9,C_7))).
% 16.10/16.07 all A_20 B_9 C_7 (times_times_int(plus_plus_int(A_20,B_9),C_7)=plus_plus_int(times_times_int(A_20,C_7),times_times_int(B_9,C_7))).
% 16.10/16.07 all C_1 D A_1 B (A_1!=B&C_1!=D<->plus_plus_real(times_times_real(A_1,C_1),times_times_real(B,D))!=plus_plus_real(times_times_real(A_1,D),times_times_real(B,C_1))).
% 16.10/16.07 all C_1 D A_1 B (A_1!=B&C_1!=D<->plus_plus_nat(times_times_nat(A_1,C_1),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A_1,D),times_times_nat(B,C_1))).
% 16.10/16.07 all C_1 D A_1 B (is_int(C_1)&is_int(D)&is_int(A_1)&is_int(B)-> (A_1!=B&C_1!=D<->plus_plus_int(times_times_int(A_1,C_1),times_times_int(B,D))!=plus_plus_int(times_times_int(A_1,D),times_times_int(B,C_1)))).
% 16.10/16.07 all X_6 Y_5 Z_3 (times_times_real(X_6,plus_plus_real(Y_5,Z_3))=plus_plus_real(times_times_real(X_6,Y_5),times_times_real(X_6,Z_3))).
% 16.10/16.07 all X_6 Y_5 Z_3 (times_times_nat(X_6,plus_plus_nat(Y_5,Z_3))=plus_plus_nat(times_times_nat(X_6,Y_5),times_times_nat(X_6,Z_3))).
% 16.10/16.07 all X_6 Y_5 Z_3 (times_times_int(X_6,plus_plus_int(Y_5,Z_3))=plus_plus_int(times_times_int(X_6,Y_5),times_times_int(X_6,Z_3))).
% 16.10/16.07 all N (nat(hAPP_nat_int(semiri1621563631at_int,N))=N).
% 16.10/16.07 all A_19 (times_times_real(A_19,one_one_real)=A_19).
% 16.10/16.07 all A_19 (times_times_nat(A_19,one_one_nat)=A_19).
% 16.10/16.07 all A_19 (is_int(A_19)->times_times_int(A_19,one_one_int)=A_19).
% 16.10/16.07 all A_18 (times_times_real(A_18,one_one_real)=A_18).
% 16.10/16.07 all A_18 (times_times_nat(A_18,one_one_nat)=A_18).
% 16.10/16.07 all A_18 (is_int(A_18)->times_times_int(A_18,one_one_int)=A_18).
% 16.10/16.07 all A_17 (times_times_real(A_17,one_one_real)=A_17).
% 16.10/16.07 all A_17 (times_times_nat(A_17,one_one_nat)=A_17).
% 16.10/16.07 all A_17 (is_int(A_17)->times_times_int(A_17,one_one_int)=A_17).
% 16.10/16.07 all A_16 (times_times_real(one_one_real,A_16)=A_16).
% 16.10/16.07 all A_16 (times_times_nat(one_one_nat,A_16)=A_16).
% 16.10/16.07 all A_16 (is_int(A_16)->times_times_int(one_one_int,A_16)=A_16).
% 16.10/16.07 all A_15 (times_times_real(one_one_real,A_15)=A_15).
% 16.10/16.07 all A_15 (times_times_nat(one_one_nat,A_15)=A_15).
% 16.10/16.07 all A_15 (is_int(A_15)->times_times_int(one_one_int,A_15)=A_15).
% 16.10/16.07 all A_14 (times_times_real(one_one_real,A_14)=A_14).
% 16.10/16.07 all A_14 (times_times_nat(one_one_nat,A_14)=A_14).
% 16.10/16.07 all A_14 (is_int(A_14)->times_times_int(one_one_int,A_14)=A_14).
% 16.10/16.07 all C_6 A_13 B_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_6,A_13)),plus_plus_real(C_6,B_8)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_13),B_8))).
% 16.10/16.07 all C_6 A_13 B_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_6,A_13)),plus_plus_nat(C_6,B_8)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_13),B_8))).
% 16.10/16.07 all C_6 A_13 B_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_6,A_13)),plus_plus_int(C_6,B_8)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_13),B_8))).
% 16.10/16.07 all A_12 C_5 B_7 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_12,C_5)),plus_plus_real(B_7,C_5)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_12),B_7))).
% 16.10/16.07 all A_12 C_5 B_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_12,C_5)),plus_plus_nat(B_7,C_5)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_12),B_7))).
% 16.10/16.07 all A_12 C_5 B_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_12,C_5)),plus_plus_int(B_7,C_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_12),B_7))).
% 16.10/16.07 all C_4 D_3 A_11 B_6 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_11),B_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_4),D_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_11,C_4)),plus_plus_real(B_6,D_3))))).
% 16.10/16.07 all C_4 D_3 A_11 B_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_11),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_4),D_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_11,C_4)),plus_plus_nat(B_6,D_3))))).
% 16.10/16.07 all C_4 D_3 A_11 B_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_11),B_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_4),D_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_11,C_4)),plus_plus_int(B_6,D_3))))).
% 16.10/16.07 all C_3 A_10 B_5 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_10),B_5))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_3,A_10)),plus_plus_real(C_3,B_5)))).
% 16.10/16.07 all C_3 A_10 B_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_10),B_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_3,A_10)),plus_plus_nat(C_3,B_5)))).
% 16.10/16.07 all C_3 A_10 B_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_10),B_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_3,A_10)),plus_plus_int(C_3,B_5)))).
% 16.10/16.07 all C_2 A_9 B_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_9),B_4))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_9,C_2)),plus_plus_real(B_4,C_2)))).
% 16.10/16.07 all C_2 A_9 B_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),B_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_9,C_2)),plus_plus_nat(B_4,C_2)))).
% 16.10/16.07 all C_2 A_9 B_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),B_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_9,C_2)),plus_plus_int(B_4,C_2)))).
% 16.10/16.07 all C_1 A_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))).
% 16.10/16.07 all C_1 A_1 B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B))).
% 16.10/16.07 all C_1 A_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))).
% 16.10/16.07 all N J_1 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(J_1,N)),K_1))).
% 16.10/16.07 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))))).
% 16.10/16.07 all A_8 N_7 (times_times_real(hAPP_nat_real(power_power_real(A_8),N_7),A_8)=times_times_real(A_8,hAPP_nat_real(power_power_real(A_8),N_7))).
% 16.10/16.07 all A_8 N_7 (times_times_nat(hAPP_nat_nat(power_power_nat(A_8),N_7),A_8)=times_times_nat(A_8,hAPP_nat_nat(power_power_nat(A_8),N_7))).
% 16.10/16.07 all A_8 N_7 (times_times_int(hAPP_nat_int(power_power_int(A_8),N_7),A_8)=times_times_int(A_8,hAPP_nat_int(power_power_int(A_8),N_7))).
% 16.10/16.07 all A_7 B_3 N_6 (hAPP_nat_real(power_power_real(times_times_real(A_7,B_3)),N_6)=times_times_real(hAPP_nat_real(power_power_real(A_7),N_6),hAPP_nat_real(power_power_real(B_3),N_6))).
% 16.10/16.07 all A_7 B_3 N_6 (hAPP_nat_nat(power_power_nat(times_times_nat(A_7,B_3)),N_6)=times_times_nat(hAPP_nat_nat(power_power_nat(A_7),N_6),hAPP_nat_nat(power_power_nat(B_3),N_6))).
% 16.10/16.07 all A_7 B_3 N_6 (hAPP_nat_int(power_power_int(times_times_int(A_7,B_3)),N_6)=times_times_int(hAPP_nat_int(power_power_int(A_7),N_6),hAPP_nat_int(power_power_int(B_3),N_6))).
% 16.10/16.07 all X_5 Y_4 Q_2 (hAPP_nat_real(power_power_real(times_times_real(X_5,Y_4)),Q_2)=times_times_real(hAPP_nat_real(power_power_real(X_5),Q_2),hAPP_nat_real(power_power_real(Y_4),Q_2))).
% 16.10/16.07 all X_5 Y_4 Q_2 (hAPP_nat_nat(power_power_nat(times_times_nat(X_5,Y_4)),Q_2)=times_times_nat(hAPP_nat_nat(power_power_nat(X_5),Q_2),hAPP_nat_nat(power_power_nat(Y_4),Q_2))).
% 16.10/16.07 all X_5 Y_4 Q_2 (hAPP_nat_int(power_power_int(times_times_int(X_5,Y_4)),Q_2)=times_times_int(hAPP_nat_int(power_power_int(X_5),Q_2),hAPP_nat_int(power_power_int(Y_4),Q_2))).
% 16.10/16.07 all M N (minus_minus_nat(plus_plus_nat(M,N),N)=M).
% 16.10/16.07 all N M (minus_minus_nat(plus_plus_nat(N,M),N)=M).
% 16.10/16.07 all I_2 J_1 K_1 (minus_minus_nat(minus_minus_nat(I_2,J_1),K_1)=minus_minus_nat(I_2,plus_plus_nat(J_1,K_1))).
% 16.10/16.07 all K_1 M N (minus_minus_nat(plus_plus_nat(K_1,M),plus_plus_nat(K_1,N))=minus_minus_nat(M,N)).
% 16.10/16.07 all M K_1 N (minus_minus_nat(plus_plus_nat(M,K_1),plus_plus_nat(N,K_1))=minus_minus_nat(M,N)).
% 16.10/16.07 all W (times_times_int(pls,W)=pls).
% 16.10/16.07 all K_1 L (times_times_int(bit0(K_1),L)=bit0(times_times_int(K_1,L))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 16.10/16.07 all Z (is_int(Z)->times_times_int(one_one_int,Z)=Z).
% 16.10/16.07 all Z (is_int(Z)->times_times_int(Z,one_one_int)=Z).
% 16.10/16.07 all Z_1 Wa (is_int(Z_1)&is_int(Wa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),Wa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),Wa))&Z_1!=Wa)).
% 16.10/16.07 all W Z1 Z2 (times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2))).
% 16.10/16.07 all Z1 Z2 W (times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(K_1,I_2)),plus_plus_int(K_1,J_1)))).
% 16.10/16.07 all V_1 W (times_times_int(number_number_of_int(V_1),number_number_of_int(W))=number_number_of_int(times_times_int(V_1,W))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K)),number_number_of_int(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1))).
% 16.10/16.07 all V_5 U_3 Y_3 X_4 A_6 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_4),A_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_3),A_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_5))-> (plus_plus_real(U_3,V_5)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(U_3,X_4),times_times_real(V_5,Y_3))),A_6))))))).
% 16.10/16.07 all V_5 U_3 Y_3 X_4 A_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_4),A_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),A_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_5))-> (plus_plus_int(U_3,V_5)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(U_3,X_4),times_times_int(V_5,Y_3))),A_6))))))).
% 16.10/16.07 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Xa)),nat(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))))).
% 16.10/16.07 all Z_1 Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)))).
% 16.10/16.07 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 16.10/16.07 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 16.10/16.07 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 16.10/16.07 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 16.10/16.07 all A_5 N_5 N_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_5),N_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_5),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_5),N_4)),hAPP_nat_real(power_power_real(A_5),N_5)))))).
% 16.10/16.07 all A_5 N_5 N_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_5),N_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_5),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_5),N_4)),hAPP_nat_nat(power_power_nat(A_5),N_5)))))).
% 16.10/16.07 all A_5 N_5 N_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_5),N_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_5),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_5),N_4)),hAPP_nat_int(power_power_int(A_5),N_5)))))).
% 16.10/16.07 all Xa Ya B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 16.10/16.07 all Xa Ya B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 16.10/16.07 all Xa Ya B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 16.10/16.07 all M_2 N_3 A_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_4),M_2)),hAPP_nat_real(power_power_real(A_4),N_3)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_3)))).
% 16.10/16.07 all M_2 N_3 A_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_4),M_2)),hAPP_nat_nat(power_power_nat(A_4),N_3)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_3)))).
% 16.10/16.07 all M_2 N_3 A_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_4),M_2)),hAPP_nat_int(power_power_int(A_4),N_3)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_3)))).
% 16.10/16.07 all Ma Wa (is_int(Wa)-> (Ma=nat(Wa)<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Wa=hAPP_nat_int(semiri1621563631at_int,Ma))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Ma=zero_zero_nat))).
% 16.10/16.07 all Wa Ma (is_int(Wa)-> (nat(Wa)=Ma<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Wa=hAPP_nat_int(semiri1621563631at_int,Ma))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Ma=zero_zero_nat))).
% 16.10/16.07 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->plus_plus_nat(nat(X),nat(Y))=nat(plus_plus_int(X,Y)))).
% 16.10/16.07 all Z_2 Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))->nat(plus_plus_int(Z,Z_2))=plus_plus_nat(nat(Z),nat(Z_2)))).
% 16.10/16.07 all Ma Va (hAPP_nat_int(semiri1621563631at_int,Ma)=number_number_of_int(Va)<->Ma=nat(number_number_of_int(Va))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Va)))).
% 16.10/16.07 all N X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_nat_nat(power_power_nat(nat(X)),N)=nat(hAPP_nat_int(power_power_int(X),N))).
% 16.10/16.07 all N Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->nat(hAPP_nat_int(power_power_int(Z),N))=hAPP_nat_nat(power_power_nat(nat(Z)),N)).
% 16.10/16.07 all V_4 U_2 Y_2 X_3 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_3),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_4))-> (plus_plus_real(U_2,V_4)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(U_2,X_3),times_times_real(V_4,Y_2))),A_3))))))).
% 16.10/16.07 all V_4 U_2 Y_2 X_3 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_4))-> (plus_plus_int(U_2,V_4)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(U_2,X_3),times_times_int(V_4,Y_2))),A_3))))))).
% 16.10/16.07 all Ma Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_nat_int(semiri1621563631at_int,Ma))))).
% 16.10/16.07 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya))).
% 16.10/16.07 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya))).
% 16.10/16.07 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls)))).
% 16.10/16.07 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls)))).
% 16.10/16.07 all X_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))->times_times_real(hAPP_nat_real(power_power_real(X_2),minus_minus_nat(N_2,one_one_nat)),X_2)=hAPP_nat_real(power_power_real(X_2),N_2)).
% 16.10/16.07 all X_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))->times_times_nat(hAPP_nat_nat(power_power_nat(X_2),minus_minus_nat(N_2,one_one_nat)),X_2)=hAPP_nat_nat(power_power_nat(X_2),N_2)).
% 16.10/16.07 all X_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))->times_times_int(hAPP_nat_int(power_power_int(X_2),minus_minus_nat(N_2,one_one_nat)),X_2)=hAPP_nat_int(power_power_int(X_2),N_2)).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,minus_minus_real(A_1,B)),zero_zero_real))).
% 16.10/16.07 all A_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A_1,B)),zero_zero_int))).
% 16.10/16.07 zero_zero_nat=nat(zero_zero_int).
% 16.10/16.07 nat(zero_zero_int)=zero_zero_nat.
% 16.10/16.07 all A_2 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_2,A_2)),zero_zero_real))).
% 16.10/16.07 all A_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_2,A_2)),zero_zero_int))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A_1))).
% 16.10/16.07 all A_1 C_1 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A_1))).
% 16.10/16.07 all W (nat(number_number_of_int(W))=number_number_of_nat(W)).
% 16.10/16.07 all V_1 (number_number_of_nat(V_1)=nat(number_number_of_int(V_1))).
% 16.10/16.07 one_one_nat=nat(one_one_int).
% 16.10/16.07 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(Na,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(M,N)),M)))).
% 16.10/16.07 all N M (minus_minus_nat(N,plus_plus_nat(N,M))=zero_zero_nat).
% 16.10/16.07 all I_1 J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J,K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K)),J))).
% 16.10/16.07 all M N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->plus_plus_nat(N,minus_minus_nat(M,N))=M).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),pls))).
% 16.10/16.07 all B_1 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A,B_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(K_1,I_2)),times_times_int(K_1,J_1))))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 16.10/16.07 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(X,Y))))).
% 16.10/16.07 all Z_2 Z W_2 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(W_2,Z_2)),plus_plus_int(W,Z))))).
% 16.10/16.07 all Z hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))).
% 16.10/16.07 all P_1 ((exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(hAPP_int_bool(P_1,X_1))))<-> (exists X_1 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))))).
% 16.10/16.07 all P_1 ((all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(hAPP_int_bool(P_1,X_1)))))<-> (all X_1 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))))).
% 16.10/16.07 all N hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))).
% 16.10/16.07 all N X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(X),N)))).
% 16.10/16.07 all Wa Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1))<-> (exists N_1 (Z_1=plus_plus_int(Wa,hAPP_nat_int(semiri1621563631at_int,N_1)))))).
% 16.10/16.07 all X Y Z (hAPP_nat_int(power_power_int(X),plus_plus_nat(Y,Z))=times_times_int(hAPP_nat_int(power_power_int(X),Y),hAPP_nat_int(power_power_int(X),Z))).
% 16.10/16.07 all Wa Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)))).
% 16.10/16.07 all Wa Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1))).
% 16.10/16.07 all Ma Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),nat(Z_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1))).
% 16.10/16.07 all P_1 A_1 B (hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))& -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists D_2 (A_1=plus_plus_nat(B,D_2)& -hBOOL(hAPP_nat_bool(P_1,D_2)))))).
% 16.10/16.07 all P_1 A_1 B (hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (all D_2 (A_1=plus_plus_nat(B,D_2)->hBOOL(hAPP_nat_bool(P_1,D_2))))).
% 16.10/16.07 all Va (zero_zero_nat=number_number_of_nat(Va)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls))).
% 16.10/16.07 all Va (number_number_of_nat(Va)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))).
% 16.10/16.07 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 16.10/16.07 all K_1 L (times_times_int(bit1(K_1),L)=plus_plus_int(bit0(times_times_int(K_1,L)),L)).
% 16.10/16.07 all Na Ma (is_int(Na)&is_int(Ma)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (times_times_int(Ma,Na)=one_one_int<->Ma=one_one_int&Na=one_one_int))).
% 16.10/16.07 all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))).
% 16.10/16.07 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))<->Na=zero_zero_nat).
% 16.10/16.07 succ(pls)=bit1(pls).
% 16.10/16.07 all K_1 (succ(bit0(K_1))=bit1(K_1)).
% 16.10/16.07 all K_1 (succ(bit1(K_1))=bit0(succ(K_1))).
% 16.10/16.07 all Wa Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1))).
% 16.10/16.07 all Wa Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(Wa,one_one_int)),Z_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1))).
% 16.10/16.07 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W,one_one_int)),Z))).
% 16.10/16.07 all K_1 (succ(K_1)=plus_plus_int(K_1,one_one_int)).
% 16.10/16.07 all Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(Z_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))).
% 16.10/16.07 number_number_of_nat(bit1(bit1(pls)))=nat(number_number_of_int(bit1(bit1(pls)))).
% 16.10/16.07 all P_1 I_1 (is_int(I_1)-> (hBOOL(hAPP_nat_bool(P_1,nat(I_1)))<-> (all N_1 (I_1=hAPP_nat_int(semiri1621563631at_int,N_1)->hBOOL(hAPP_nat_bool(P_1,N_1))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))).
% 16.10/16.07 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,Z)))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(hAPP_nat_int(semiri1621563631at_int,K_1),I_2)),times_times_int(hAPP_nat_int(semiri1621563631at_int,K_1),J_1))))).
% 16.10/16.07 all K_1 L (plus_plus_int(bit1(K_1),bit1(L))=bit0(plus_plus_int(K_1,succ(L)))).
% 16.10/16.07 number_number_of_nat(bit0(bit1(pls)))=nat(number_number_of_int(bit0(bit1(pls)))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))).
% 16.10/16.07 all A (times_times_int(A,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))))=hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls))))).
% 16.10/16.07 all X hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))))).
% 16.10/16.07 all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),number_number_of_int(bit0(bit1(pls)))))->X=zero_zero_int|X=one_one_int))).
% 16.10/16.07 all A P_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_2))->hAPP_nat_int(power_power_int(A),nat(P_2))=times_times_int(A,hAPP_nat_int(power_power_int(A),minus_minus_nat(nat(P_2),one_one_nat)))).
% 16.10/16.07 all R_1 Q A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (A=plus_plus_int(R_1,times_times_int(A,Q))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),one_one_int))))).
% 16.10/16.07 all R_1 Q A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (A=plus_plus_int(R_1,times_times_int(A,Q))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q))))).
% 16.10/16.07 -(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))-> -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))))).
% 16.10/16.07 all B_2 Q_1 R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_2,Q_1),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1))))).
% 16.10/16.07 all B_2 Q_1 R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_2,Q_1),R_2)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),zero_zero_int))))).
% 16.10/16.07 -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,zero_zero_nat))))).
% 16.10/16.07 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))).
% 16.10/16.07 -(all X_1 Y_1 (is_int(X_1)&is_int(Y_1)->plus_plus_int(hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls)))))!=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))).
% 16.10/16.07 plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t).
% 16.10/16.07 hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 t=one_one_int-> (exists X_1 Y_1 (is_int(X_1)&is_int(Y_1)&plus_plus_int(hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 16.10/16.07 all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,M))).
% 16.10/16.07 all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,times_times_nat(M,M)))).
% 16.10/16.07 all M N (times_times_nat(M,N)=times_times_nat(N,M)).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 16.10/16.07 all M N K_1 (times_times_nat(times_times_nat(M,N),K_1)=times_times_nat(M,times_times_nat(N,K_1))).
% 16.10/16.07 all M N (M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,K_1)))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K_1,I_2)),times_times_nat(K_1,J_1)))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_1)))).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->M=N)).
% 16.10/16.07 all K_1 L I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,L))))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(Xa,Ya)),zero_zero_real))).
% 16.10/16.07 all Ma K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)))).
% 16.10/16.07 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)))).
% 16.10/16.07 all Xa Ya Z_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)))).
% 16.10/16.07 all Xa Ya Z_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Z_1,Xa)),times_times_real(Z_1,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)))).
% 16.10/16.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->minus_minus_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(M,N))).
% 16.10/16.07 all K_1 (is_int(K_1)->minus_minus_int(K_1,pls)=K_1).
% 16.10/16.07 all K_1 L (minus_minus_int(bit0(K_1),bit0(L))=bit0(minus_minus_int(K_1,L))).
% 16.10/16.07 all Z1 Z2 W (times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W))).
% 16.10/16.07 all W Z1 Z2 (times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2))).
% 16.10/16.07 all N (times_times_nat(zero_zero_nat,N)=zero_zero_nat).
% 16.10/16.07 all M (times_times_nat(M,zero_zero_nat)=zero_zero_nat).
% 16.10/16.07 all Ma Na (times_times_nat(Ma,Na)=zero_zero_nat<->Ma=zero_zero_nat|Na=zero_zero_nat).
% 16.10/16.07 all K Ma Na (times_times_nat(K,Ma)=times_times_nat(K,Na)<->Ma=Na|K=zero_zero_nat).
% 16.10/16.07 all Ma K Na (times_times_nat(Ma,K)=times_times_nat(Na,K)<->Ma=Na|K=zero_zero_nat).
% 16.10/16.07 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 16.10/16.07 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))<->Na=zero_zero_nat).
% 16.10/16.07 all A_1 B C_1 (C_1!=zero_zero_real-> (times_times_real(C_1,A_1)=times_times_real(C_1,B)<->A_1=B)).
% 16.10/16.07 all A_1 B C_1 (C_1!=zero_zero_real-> (times_times_real(A_1,C_1)=times_times_real(B,C_1)<->A_1=B)).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (M!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))&Ma!=Na).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))&Xa!=Ya).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa=Ya).
% 16.10/16.07 all M N K_1 (times_times_nat(plus_plus_nat(M,N),K_1)=plus_plus_nat(times_times_nat(M,K_1),times_times_nat(N,K_1))).
% 16.10/16.07 all K_1 M N (times_times_nat(K_1,plus_plus_nat(M,N))=plus_plus_nat(times_times_nat(K_1,M),times_times_nat(K_1,N))).
% 16.10/16.07 all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)))).
% 16.10/16.07 all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 16.10/16.07 all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))).
% 16.10/16.07 all K_1 L I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,L))))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,K_1)))).
% 16.10/16.07 all M I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),plus_plus_nat(M,J_1)))).
% 16.10/16.07 all M I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),plus_plus_nat(J_1,M)))).
% 16.10/16.07 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<-> (exists K_2 (Na=plus_plus_nat(Ma,K_2)))).
% 16.10/16.07 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),plus_plus_nat(N,M))).
% 16.10/16.07 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),plus_plus_nat(M,N))).
% 16.10/16.07 all Na Ma (times_times_nat(Na,Ma)=one_one_nat<->Na=one_one_nat&Ma=one_one_nat).
% 16.10/16.07 all Ma Na (times_times_nat(Ma,Na)=one_one_nat<->Ma=one_one_nat&Na=one_one_nat).
% 16.10/16.07 all N (times_times_nat(N,one_one_nat)=N).
% 16.10/16.07 all Ma Na (one_one_nat=times_times_nat(Ma,Na)<->Ma=one_one_nat&Na=one_one_nat).
% 16.10/16.07 all N (times_times_nat(one_one_nat,N)=N).
% 16.10/16.07 all M N K_1 (times_times_nat(minus_minus_nat(M,N),K_1)=minus_minus_nat(times_times_nat(M,K_1),times_times_nat(N,K_1))).
% 16.10/16.07 all K_1 M N (times_times_nat(K_1,minus_minus_nat(M,N))=minus_minus_nat(times_times_nat(K_1,M),times_times_nat(K_1,N))).
% 16.10/16.07 all Z (times_times_real(one_one_real,Z)=Z).
% 16.10/16.07 all Na K Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))))).
% 16.10/16.07 all N K_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))->minus_minus_nat(minus_minus_nat(M,K_1),minus_minus_nat(N,K_1))=minus_minus_nat(M,N))).
% 16.10/16.07 all Na K Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (minus_minus_nat(Ma,K)=minus_minus_nat(Na,K)<->Ma=Na))).
% 16.10/16.07 all I_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))->minus_minus_nat(N,minus_minus_nat(N,I_2))=I_2).
% 16.10/16.07 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,L)),minus_minus_nat(N,L)))).
% 16.10/16.07 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M)))).
% 16.10/16.07 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,N)),M)).
% 16.10/16.07 all Z1 Z2 W (times_times_real(plus_plus_real(Z1,Z2),W)=plus_plus_real(times_times_real(Z1,W),times_times_real(Z2,W))).
% 16.10/16.07 all X Y Z (hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),Y)),Z)=hAPP_nat_int(power_power_int(X),times_times_nat(Y,Z))).
% 16.10/16.07 all Z X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(Z,X)),plus_plus_real(Z,Y)))).
% 16.10/16.07 all K_1 L (minus_minus_int(bit1(K_1),bit1(L))=bit0(minus_minus_int(K_1,L))).
% 16.10/16.07 all K_1 L (minus_minus_int(bit1(K_1),bit0(L))=bit1(minus_minus_int(K_1,L))).
% 16.10/16.07 all L (minus_minus_int(pls,bit0(L))=bit0(minus_minus_int(pls,L))).
% 16.10/16.07 all A X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),A))-> (X!=minus_minus_int(A,one_one_int)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),minus_minus_int(A,one_one_int))))))).
% 16.10/16.07 all K L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K,L_1)),zero_zero_int))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,I_2)),times_times_nat(K_1,J_1))))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,K_1))))).
% 16.10/16.07 all Ma K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(Ma,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 16.10/16.07 all Xa (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(Xa,Xa)))<->Xa=zero_zero_real).
% 16.10/16.07 all X Y Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Z,X)),times_times_real(Z,Y))))).
% 16.10/16.07 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(X,Y))))).
% 16.10/16.07 all Xa Ya Z_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)))).
% 16.10/16.07 all M N (M=times_times_nat(M,N)->N=one_one_nat|M=zero_zero_nat).
% 16.10/16.07 all Ma Na (minus_minus_nat(Ma,Na)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->minus_minus_nat(M,N)=zero_zero_nat).
% 16.10/16.07 all Xa Ya (plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 16.10/16.07 all C A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(A,C)),minus_minus_nat(B_1,C))))).
% 16.10/16.07 all Na K Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))))).
% 16.10/16.07 all X Y (times_times_int(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,times_times_nat(X,Y))).
% 16.10/16.07 all M N (times_times_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,times_times_nat(M,N))).
% 16.10/16.07 all M N (hAPP_nat_int(semiri1621563631at_int,times_times_nat(M,N))=times_times_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))).
% 16.10/16.07 all I_2 K_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))->minus_minus_nat(I_2,minus_minus_nat(J_1,K_1))=minus_minus_nat(plus_plus_nat(I_2,K_1),J_1)).
% 16.10/16.07 all J K I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(J,K)),I_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),plus_plus_nat(I_1,K)))).
% 16.10/16.07 all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),minus_minus_nat(plus_plus_nat(N,M),K_1)))).
% 16.10/16.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->plus_plus_nat(N,minus_minus_nat(M,N))=M).
% 16.10/16.07 all I_2 K_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))->plus_plus_nat(I_2,minus_minus_nat(J_1,K_1))=minus_minus_nat(plus_plus_nat(I_2,J_1),K_1)).
% 16.10/16.07 all I_1 K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),minus_minus_nat(J,K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_1,K)),J)))).
% 16.10/16.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->plus_plus_nat(minus_minus_nat(M,N),N)=M).
% 16.10/16.07 all K I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (minus_minus_nat(J,I_1)=K<->J=plus_plus_nat(K,I_1))).
% 16.10/16.07 all I_2 K_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))->minus_minus_nat(plus_plus_nat(I_2,J_1),K_1)=plus_plus_nat(I_2,minus_minus_nat(J_1,K_1))).
% 16.10/16.07 all I_2 K_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))->plus_plus_nat(minus_minus_nat(J_1,K_1),I_2)=minus_minus_nat(plus_plus_nat(J_1,I_2),K_1)).
% 16.10/16.07 all I_2 K_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))->minus_minus_nat(plus_plus_nat(J_1,I_2),K_1)=plus_plus_nat(minus_minus_nat(J_1,K_1),I_2)).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))).
% 16.10/16.07 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 16.10/16.07 all Y X (hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X))-> (hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,Y))->hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(X,Y))))).
% 16.10/16.07 all Wa Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),minus_minus_int(Z_1,one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1))).
% 16.10/16.07 all Va V_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))<-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)))).
% 16.10/16.07 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Xa)),nat(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))))).
% 16.10/16.07 all Z Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),Z))->nat(minus_minus_int(Z,Z_2))=minus_minus_nat(nat(Z),nat(Z_2)))).
% 16.10/16.07 all Z_2 Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->nat(times_times_int(Z,Z_2))=times_times_nat(nat(Z),nat(Z_2))).
% 16.10/16.07 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->times_times_nat(nat(X),nat(Y))=nat(times_times_int(X,Y)))).
% 16.10/16.07 all N M ((M=zero_zero_nat->times_times_nat(M,N)=zero_zero_nat)& (M!=zero_zero_nat->times_times_nat(M,N)=plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)))).
% 16.10/16.07 all Z_1 Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Wa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Wa)),nat(Z_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)))).
% 16.10/16.07 all P_2 M ((M=zero_zero_nat->hAPP_nat_nat(power_power_nat(P_2),M)=one_one_nat)& (M!=zero_zero_nat->hAPP_nat_nat(power_power_nat(P_2),M)=times_times_nat(P_2,hAPP_nat_nat(power_power_nat(P_2),minus_minus_nat(M,one_one_nat))))).
% 16.10/16.07 all Z (times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z)=plus_plus_nat(Z,Z)).
% 16.10/16.07 all Z (times_times_nat(Z,number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(Z,Z)).
% 16.10/16.07 all V_2 K_1 V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->times_times_nat(number_number_of_nat(V_1),times_times_nat(number_number_of_nat(V_2),K_1))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->times_times_nat(number_number_of_nat(V_1),times_times_nat(number_number_of_nat(V_2),K_1))=times_times_nat(number_number_of_nat(times_times_int(V_1,V_2)),K_1))).
% 16.10/16.07 all V_2 V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->times_times_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->times_times_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(times_times_int(V_1,V_2)))).
% 16.10/16.07 all X (times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls)))))=hAPP_nat_real(power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X)),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.07 all N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N))).
% 16.10/16.07 all B_1 A C (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),C))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A)))).
% 16.10/16.07 all A B_1 (times_times_int(plus_plus_int(A,B_1),minus_minus_int(A,B_1))=minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))).
% 16.10/16.07 all X Y (minus_minus_nat(hAPP_nat_nat(power_power_nat(X),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_nat(power_power_nat(Y),number_number_of_nat(bit0(bit1(pls)))))=times_times_nat(plus_plus_nat(X,Y),minus_minus_nat(X,Y))).
% 16.10/16.07 all A B_1 (hAPP_nat_int(power_power_int(minus_minus_int(A,B_1)),number_number_of_nat(bit1(bit1(pls))))=minus_minus_int(plus_plus_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),B_1)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit1(bit1(pls)))))).
% 16.10/16.07 all A B_1 (hAPP_nat_int(power_power_int(minus_minus_int(A,B_1)),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B_1)),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))).
% 16.10/16.07 all B_1 Q R_1 B_2 Q_1 R_2 (plus_plus_int(times_times_int(B_1,Q),R_1)=plus_plus_int(times_times_int(B_2,Q_1),R_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_2,Q_1),R_2)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)))))))).
% 16.10/16.07 all B_1 Q_1 R_2 Q R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B_1,Q_1),R_2)),plus_plus_int(times_times_int(B_1,Q),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)))))).
% 16.10/16.07 all B_1 Q R_1 B_2 Q_1 R_2 (plus_plus_int(times_times_int(B_1,Q),R_1)=plus_plus_int(times_times_int(B_2,Q_1),R_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_2,Q_1),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)))))))).
% 16.10/16.07 all B_1 Q_1 R_2 Q R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B_1,Q_1),R_2)),plus_plus_int(times_times_int(B_1,Q),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)))))).
% 16.10/16.07 plus_plus_int(hAPP_nat_int(power_power_int(x),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(y),number_number_of_nat(bit0(bit1(pls)))))=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))).
% 16.10/16.07 all P_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))->minus_minus_nat(nat(P_2),number_number_of_nat(bit0(bit1(pls))))=nat(minus_minus_int(P_2,number_number_of_int(bit0(bit1(pls)))))).
% 16.10/16.07 all P_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(minus_minus_int(P_2,number_number_of_int(bit0(bit1(pls)))))))).
% 16.10/16.07 -(all T (is_int(T)->plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int)!=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),T))).
% 16.10/16.07 all W hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 16.10/16.07 all Z W (times_times_real(Z,W)=times_times_real(W,Z)).
% 16.10/16.07 all Z W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z),W))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z))).
% 16.10/16.07 all Z1 Z2 Z3 (times_times_real(times_times_real(Z1,Z2),Z3)=times_times_real(Z1,times_times_real(Z2,Z3))).
% 16.10/16.07 all K_1 I_2 J_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),J_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J_1),K_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),K_1)))).
% 16.10/16.07 all Z W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z),W))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z))->Z=W)).
% 16.10/16.07 hBOOL(hAPP_int_bool(zprime,number_number_of_int(bit0(bit1(pls))))).
% 16.10/16.07 all A B_1 C (is_int(A)-> (minus_minus_int(A,B_1)=C->A=plus_plus_int(C,B_1))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int))).
% 16.10/16.07 all X Y (hAPP_nat_real(power_power_real(plus_plus_real(X,Y)),number_number_of_nat(bit0(bit1(pls))))=plus_plus_real(plus_plus_real(hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Y),number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),Y))).
% 16.10/16.07 minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))=plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)))).
% 16.10/16.07 legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))=one_one_int.
% 16.10/16.07 all K_1 M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),minus_minus_int(M,N)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)))).
% 16.10/16.07 all M N P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),times_times_int(M,N)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),N)))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),min)).
% 16.10/16.07 all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),M))).
% 16.10/16.07 all A N P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(A),N)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),A)))).
% 16.10/16.07 all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),N))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M)))).
% 16.10/16.07 all K_1 M N (is_int(K_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K_1,M)),times_times_int(K_1,N)))-> (K_1!=zero_zero_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N))))).
% 16.10/16.07 all N M (is_int(N)&is_int(M)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))->M=N))))).
% 16.10/16.07 all K Na Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),plus_plus_int(Na,times_times_int(K,Ma))))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na))).
% 16.10/16.07 all C_1 Xa Ta A_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),D))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(Xa,Ta)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(plus_plus_int(Xa,times_times_int(C_1,D)),Ta))))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),min))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 16.10/16.07 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit1(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),pls)).
% 16.10/16.07 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min))).
% 16.10/16.07 number_number_of_int(pls)!=number_number_of_int(min).
% 16.10/16.07 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 16.10/16.07 all L (min!=bit0(L)).
% 16.10/16.07 all K_1 (bit0(K_1)!=min).
% 16.10/16.07 min!=pls.
% 16.10/16.07 pls!=min.
% 16.10/16.07 bit1(min)=min.
% 16.10/16.07 all L_1 (is_int(L_1)-> (min=bit1(L_1)<->min=L_1)).
% 16.10/16.07 all K (is_int(K)-> (bit1(K)=min<->K=min)).
% 16.10/16.07 succ(min)=pls.
% 16.10/16.07 all K_1 (minus_minus_int(K_1,min)=succ(K_1)).
% 16.10/16.07 all Z N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),N)))).
% 16.10/16.07 all P_2 Y N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(Y),N))))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit0(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K))).
% 16.10/16.07 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min))).
% 16.10/16.07 all L (minus_minus_int(pls,bit1(L))=bit1(minus_minus_int(min,L))).
% 16.10/16.07 all L (minus_minus_int(min,bit1(L))=bit0(minus_minus_int(min,L))).
% 16.10/16.07 all L (minus_minus_int(min,bit0(L))=bit1(minus_minus_int(min,L))).
% 16.10/16.07 all Ma Na (is_int(Ma)&is_int(Na)-> (times_times_int(Ma,Na)=one_one_int<->Ma=one_one_int&Na=one_one_int|Ma=number_number_of_int(min)&Na=number_number_of_int(min))).
% 16.10/16.07 all M N (is_int(M)-> (times_times_int(M,N)=one_one_int->M=one_one_int|M=number_number_of_int(min))).
% 16.10/16.07 all N A B_1 P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),times_times_int(A,B_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),A))))).
% 16.10/16.07 all N B_1 A P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),times_times_int(A,B_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),B_1))))).
% 16.10/16.07 all Y N P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(Y),N)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y))))).
% 16.10/16.07 hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min))).
% 16.10/16.07 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 -hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min)))->legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))!=one_one_int.
% 16.10/16.07 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),s)).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 hBOOL(hAPP_int_bool(zcong(s1,s),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 -(all S1 (is_int(S1)-> -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(S1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))))).
% 16.10/16.07 all C A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,C)),times_times_nat(B_1,C)))).
% 16.10/16.07 all C A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(C,A)),times_times_nat(C,B_1)))).
% 16.10/16.07 all N K_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N))))).
% 16.10/16.07 all Xa P_3 (hBOOL(hAPP_int_bool(zcong(Xa,zero_zero_int),P_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Xa))).
% 16.10/16.07 all A_1 Ma (hBOOL(hAPP_int_bool(zcong(A_1,zero_zero_int),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A_1))).
% 16.10/16.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M)))).
% 16.10/16.07 all A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))->B_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B_1))).
% 16.10/16.07 all Ma K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))<->K=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na))).
% 16.10/16.07 all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))))).
% 16.10/16.07 all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))))).
% 16.10/16.07 all A N B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),N)),hAPP_nat_nat(power_power_nat(B_1),N)))-> (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1)))).
% 16.10/16.07 all X Y N (N!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X),N)),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))).
% 16.10/16.07 all N X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X),N)),hAPP_nat_nat(power_power_nat(Y),N)))).
% 16.10/16.07 all Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat))<->Ma=one_one_nat).
% 16.10/16.07 all K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),plus_plus_nat(Na,K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Na))).
% 16.10/16.07 all B_1 D_1 A (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),A))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),plus_plus_nat(A,B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),B_1)))).
% 16.10/16.07 all M hBOOL(hAPP_int_bool(zcong(M,zero_zero_int),M)).
% 16.10/16.07 all C A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))->hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,C),plus_plus_int(B_1,C)),M))).
% 16.10/16.07 all D_1 C A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))-> (B_1=C-> (hBOOL(hAPP_int_bool(zcong(C,D_1),M))->hBOOL(hAPP_int_bool(zcong(A,D_1),M))))).
% 16.10/16.07 all Z X Y M (hBOOL(hAPP_int_bool(zcong(X,Y),M))->hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),Z),hAPP_nat_int(power_power_int(Y),Z)),M))).
% 16.10/16.07 all M Y X (is_int(Y)&is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(zcong(X,Y),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M))->X=Y))))))).
% 16.10/16.07 all M X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))-> -hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),M)))).
% 16.10/16.07 all C_1 D A_1 B Ma (hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))-> (hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(A_1,D)),Ma))<->hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(B,D)),Ma)))).
% 16.10/16.07 all C_1 D A_1 B Ma (hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))-> (hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,A_1)),Ma))<->hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,B)),Ma)))).
% 16.10/16.07 all M X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))-> (hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),M))->X=zero_zero_int)))).
% 16.10/16.07 all Y X P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (-hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),P_2))-> (-hBOOL(hAPP_int_bool(zcong(Y,zero_zero_int),P_2))-> -hBOOL(hAPP_int_bool(zcong(times_times_int(X,Y),zero_zero_int),P_2))))).
% 16.10/16.07 all K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)))).
% 16.10/16.07 all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K_1,M)),times_times_nat(K_1,N)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)))).
% 16.10/16.07 all B_1 A P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(zcong(times_times_int(A,B_1),zero_zero_int),P_2))->hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))|hBOOL(hAPP_int_bool(zcong(B_1,zero_zero_int),P_2))))).
% 16.10/16.07 all B_1 A P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (-hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))& -hBOOL(hAPP_int_bool(zcong(B_1,zero_zero_int),P_2))-> -hBOOL(hAPP_int_bool(zcong(times_times_int(A,B_1),zero_zero_int),P_2))))).
% 16.10/16.07 all X Q N R_1 (X=plus_plus_nat(times_times_nat(Q,N),R_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_1),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),X))))).
% 16.10/16.07 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,Na)),Ma))<->Na=one_one_nat)).
% 16.10/16.07 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Na,Ma)),Ma))<->Na=one_one_nat)).
% 16.10/16.07 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Xa)),nat(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),Ya))))).
% 16.10/16.07 all I_2 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(I_2),M)),hAPP_nat_nat(power_power_nat(I_2),N)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)))).
% 16.10/16.07 all Z_1 Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->Ma=zero_zero_nat)).
% 16.10/16.07 all X P_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))-> (hBOOL(hAPP_int_bool(zcong(X,number_number_of_int(min)),P_2))-> -hBOOL(hAPP_int_bool(zcong(X,one_one_int),P_2)))).
% 16.10/16.07 all Y X P_2 (-hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),P_2))-> (hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls)))),X),P_2))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y)))).
% 16.10/16.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))->M=zero_zero_nat|M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N)),M))).
% 16.10/16.07 all M (hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int)))->legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int))=one_one_int).
% 16.10/16.07 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.07 exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&hBOOL(hAPP_int_bool(zcong(s1,X_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))& (all Y_1 (is_int(Y_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&hBOOL(hAPP_int_bool(zcong(s1,Y_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))->Y_1=X_1)))).
% 16.10/16.07 all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)).
% 16.10/16.07 -(all S (is_int(S)-> -(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),S))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,S),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&hBOOL(hAPP_int_bool(zcong(s1,S),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 16.10/16.07 all Z X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)))).
% 16.10/16.07 all A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1)))).
% 16.10/16.07 all Z X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)))).
% 16.10/16.07 all C A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A))-> (B_1=C->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)))).
% 16.10/16.07 all P_1 Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))->hBOOL(P_1))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->Y!=X).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->X!=Y).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->X!=Y).
% 16.10/16.07 all Z X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)))).
% 16.10/16.07 all C A B_1 (A=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)))).
% 16.10/16.07 all Z X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z)))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->X=Y)).
% 16.10/16.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))->M=N)).
% 16.10/16.07 all C A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))-> (B_1=C->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)))).
% 16.10/16.07 all C A B_1 (A=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)))).
% 16.10/16.07 all A B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))-> (A!=B_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)))).
% 16.10/16.07 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|X=Y).
% 16.10/16.07 all Ya Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->Xa=Ya)).
% 16.10/16.07 all X Y (X=Y->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))).
% 16.10/16.07 all A B_1 (A!=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&Xa!=Ya).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|Xa=Ya).
% 16.10/16.07 all Xa Ya (Xa=Ya<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))).
% 16.10/16.07 all X (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)))).
% 16.10/16.07 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))<->Xa=Ya).
% 16.10/16.07 all J_1 K_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M))-> (hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),J_1),hAPP_nat_int(power_power_int(number_number_of_int(min)),K_1)),M))->hAPP_nat_int(power_power_int(number_number_of_int(min)),J_1)=hAPP_nat_int(power_power_int(number_number_of_int(min)),K_1))).
% 16.10/16.07 all M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M))-> -hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),M))).
% 16.10/16.07 all N (hAPP_nat_int(power_power_int(number_number_of_int(min)),N)=one_one_int|hAPP_nat_int(power_power_int(number_number_of_int(min)),N)=number_number_of_int(min)).
% 16.10/16.07 all A P_2 ((hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))->legendre(A,P_2)=zero_zero_int)& (-hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))-> (hBOOL(hAPP_int_bool(quadRes(P_2),A))->legendre(A,P_2)=one_one_int)& (-hBOOL(hAPP_int_bool(quadRes(P_2),A))->legendre(A,P_2)=number_number_of_int(min)))).
% 16.10/16.07 all Ma Xa (hBOOL(hAPP_int_bool(quadRes(Ma),Xa))<-> (exists Y_1 (is_int(Y_1)&hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls)))),Xa),Ma))))).
% 16.10/16.07 all X P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),X))->hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),nat(minus_minus_int(P_2,one_one_int))),one_one_int),P_2)))).
% 16.10/16.07 all A P_2 (is_int(A)-> (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_2))-> (hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),P_2))->A=one_one_int|A=minus_minus_int(P_2,one_one_int)))))).
% 16.10/16.07 all C A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))-> (hBOOL(hAPP_int_bool(zcong(B_1,C),M))->hBOOL(hAPP_int_bool(zcong(A,C),M)))).
% 16.10/16.07 all K_1 M hBOOL(hAPP_int_bool(zcong(K_1,K_1),M)).
% 16.10/16.07 all A_1 B Ma (hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))<->hBOOL(hAPP_int_bool(zcong(B,A_1),Ma))).
% 16.10/16.07 all A_1 B (is_int(A_1)&is_int(B)-> (hBOOL(hAPP_int_bool(zcong(A_1,B),zero_zero_int))<->A_1=B)).
% 16.10/16.07 all A B_1 hBOOL(hAPP_int_bool(zcong(A,B_1),one_one_int)).
% 16.10/16.07 all A M B_1 hBOOL(hAPP_int_bool(zcong(times_times_int(A,M),times_times_int(B_1,M)),M)).
% 16.10/16.07 all K_1 A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))->hBOOL(hAPP_int_bool(zcong(times_times_int(A,K_1),times_times_int(B_1,K_1)),M))).
% 16.10/16.07 all K_1 A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))->hBOOL(hAPP_int_bool(zcong(times_times_int(K_1,A),times_times_int(K_1,B_1)),M))).
% 16.10/16.07 all C D_1 A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))-> (hBOOL(hAPP_int_bool(zcong(C,D_1),M))->hBOOL(hAPP_int_bool(zcong(times_times_int(A,C),times_times_int(B_1,D_1)),M)))).
% 16.10/16.07 all C D_1 A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))-> (hBOOL(hAPP_int_bool(zcong(C,D_1),M))->hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,C),plus_plus_int(B_1,D_1)),M)))).
% 16.10/16.07 all C D_1 A B_1 M (hBOOL(hAPP_int_bool(zcong(A,B_1),M))-> (hBOOL(hAPP_int_bool(zcong(C,D_1),M))->hBOOL(hAPP_int_bool(zcong(minus_minus_int(A,C),minus_minus_int(B_1,D_1)),M)))).
% 16.10/16.07 all B_1 M A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A))-> -hBOOL(hAPP_int_bool(zcong(A,B_1),M)))))).
% 16.10/16.07 all A R_1 B_1 M C D_1 N (plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(R_1,B_1)),M),times_times_int(minus_minus_int(C,times_times_int(R_1,D_1)),N))=minus_minus_int(plus_plus_int(times_times_int(A,M),times_times_int(C,N)),times_times_int(R_1,plus_plus_int(times_times_int(B_1,M),times_times_int(D_1,N))))).
% 16.10/16.07 all A_1 B Ma (is_int(B)-> (hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))<-> (exists K_2 (is_int(K_2)&B=plus_plus_int(A_1,times_times_int(Ma,K_2)))))).
% 16.10/16.07 all A_1 B Ma (hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),minus_minus_int(A_1,B)))).
% 16.10/16.07 all A B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B_1,one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B_1))).
% 16.10/16.07 all M A (is_int(A)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))-> (hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),M))->A=zero_zero_int)))).
% 16.10/16.07 all B_1 M A (is_int(B_1)&is_int(A)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),M))-> (hBOOL(hAPP_int_bool(zcong(A,B_1),M))->A=B_1)))))).
% 16.10/16.07 all N P_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),times_times_int(M,N)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),N))))).
% 16.10/16.07 all P_3 (is_int(P_3)-> (hBOOL(hAPP_int_bool(zprime,P_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))& (all M_1 (is_int(M_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),P_3))->M_1=one_one_int|M_1=P_3))))).
% 16.10/16.07 all A P_2 (hBOOL(hAPP_int_bool(zprime,P_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),P_2))->hBOOL(hAPP_int_bool(zcong(A,one_one_int),P_2))|hBOOL(hAPP_int_bool(zcong(A,minus_minus_int(P_2,one_one_int)),P_2))))).
% 16.10/16.07 all P_1 Xa Ya (hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))->hBOOL(hAPP_int_bool(P_1,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,Xa),hAPP_nat_int(semiri1621563631at_int,Ya)))))& (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))).
% 16.10/16.07 all P_2 (is_int(P_2)-> (hBOOL(hAPP_int_bool(zprime,P_2))-> (P_2!=number_number_of_int(bit0(bit1(pls)))-> (P_2!=number_number_of_int(bit1(bit1(pls)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_2)))))).
% 16.10/16.07 all P_4 P_1 Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(P_1)<->hBOOL(P_4)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))&hBOOL(P_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))&hBOOL(P_4))).
% 16.10/16.07 all P_4 P_1 Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(P_1)<->hBOOL(P_4)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(P_1))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(P_4)))).
% 16.10/16.07 all Ma Ta K (is_int(K)-> (K!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),Ta))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K,Ma)),times_times_int(K,Ta)))))).
% 16.10/16.07 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(pls))).
% 16.10/16.07 all A_1 P_3 (hBOOL(hAPP_int_bool(zcong(times_times_int(A_1,minus_minus_int(P_3,one_one_int)),one_one_int),P_3))<->hBOOL(hAPP_int_bool(zcong(A_1,minus_minus_int(P_3,one_one_int)),P_3))).
% 16.10/16.07 all Z X Y P_2 (hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),Y),one_one_int),P_2))->hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),times_times_nat(Y,Z)),one_one_int),P_2))).
% 16.10/16.07 all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(N)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(N))))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(N))))).
% 16.10/16.07 -(all S W_1 (is_int(S)&is_int(W_1)-> -(W_1=minus_minus_int(y,times_times_int(S,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(W_1))),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))))).
% 16.10/16.07 -(all R V (is_int(R)&is_int(V)-> -(V=minus_minus_int(x,times_times_int(R,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(V))),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))))).
% 16.10/16.07 all D_1 I_2 (is_int(I_2)-> (I_2!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),I_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(D_1)),abs_abs_int(I_2)))))).
% 16.10/16.07 all W Z (nat(abs_abs_int(times_times_int(W,Z)))=times_times_nat(nat(abs_abs_int(W)),nat(abs_abs_int(Z)))).
% 16.10/16.07 all A B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_1),A))->abs_abs_int(A)=abs_abs_int(B_1))).
% 16.10/16.07 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),one_one_int))<->abs_abs_int(Xa)=one_one_int).
% 16.10/16.07 all M (abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M))=hAPP_nat_int(semiri1621563631at_int,M)).
% 16.10/16.07 all M N (abs_abs_int(times_times_int(M,N))=one_one_int->abs_abs_int(M)=one_one_int).
% 16.10/16.07 all X N hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(X)),N))).
% 16.10/16.07 all Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))<->Z_1=zero_zero_int)).
% 16.10/16.07 all Z_1 (is_int(Z_1)-> (abs_abs_int(Z_1)=one_one_int<->Z_1=one_one_int|Z_1=number_number_of_int(min))).
% 16.10/16.07 all X (abs_abs_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit1(bit1(pls)))))=hAPP_nat_int(power_power_int(abs_abs_int(X)),number_number_of_nat(bit1(bit1(pls))))).
% 16.10/16.07 all Xa Na (is_int(Xa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(Xa)),Na)))<->Xa!=zero_zero_int|Na=zero_zero_nat)).
% 16.10/16.07 all Na Ma (is_int(Ma)-> (Ma!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(Ma,Na)),Ma))<->abs_abs_int(Na)=one_one_int))).
% 16.10/16.07 all Ma Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),nat(abs_abs_int(Z_1))))).
% 16.10/16.07 all Z_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(abs_abs_int(Z_1))),Ma))).
% 16.10/16.07 all A (abs_abs_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))))=hAPP_nat_int(power_power_int(abs_abs_int(A)),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.07 all A_1 B (hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))<->abs_abs_int(A_1)=abs_abs_int(B)).
% 16.10/16.07 all A (hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))=one_one_int->abs_abs_int(A)=one_one_int).
% 16.10/16.07 all Z X D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),plus_plus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D_1))))).
% 16.10/16.07 all X Z D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D_1))),Z))).
% 16.10/16.07 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (exists N_1 (is_int(N_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(minus_minus_int(Y,times_times_int(N_1,X))))),X))))).
% 16.10/16.07 all K P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,D))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (all X_1 (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,times_times_int(K,D))))))))).
% 16.10/16.07 all X (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(abs_abs_real(X),one_one_real)),X))).
% 16.10/16.07 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(one_one_real,abs_abs_real(X)))).
% 16.10/16.07 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(X)),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))),one_one_real))).
% 16.10/16.07 all Na P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,Na))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),Na))& (all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K_2))-> -hBOOL(hAPP_nat_bool(P_1,I))))&hBOOL(hAPP_nat_bool(P_1,plus_plus_nat(K_2,one_one_nat))))))).
% 16.10/16.07 all K P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,D))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (all X_1 (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,times_times_int(K,D))))))))).
% 16.10/16.07 all U Ma Na J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)))).
% 16.10/16.08 all U Ma Na I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))))).
% 16.10/16.08 all K Ma Na (times_times_nat(K,Ma)=times_times_nat(K,Na)<->K=zero_zero_nat|Ma=Na).
% 16.10/16.08 all I_2 U_1 J_1 K_1 (plus_plus_nat(times_times_nat(I_2,U_1),plus_plus_nat(times_times_nat(J_1,U_1),K_1))=plus_plus_nat(times_times_nat(plus_plus_nat(I_2,J_1),U_1),K_1)).
% 16.10/16.08 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)))).
% 16.10/16.08 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (times_times_nat(K,Ma)=times_times_nat(K,Na)<->Ma=Na)).
% 16.10/16.08 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))<->K=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na))).
% 16.10/16.08 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)))).
% 16.10/16.08 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)))).
% 16.10/16.08 all U Ma Na J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)))).
% 16.10/16.08 all U_1 M N J_1 I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))->minus_minus_nat(plus_plus_nat(times_times_nat(I_2,U_1),M),plus_plus_nat(times_times_nat(J_1,U_1),N))=minus_minus_nat(plus_plus_nat(times_times_nat(minus_minus_nat(I_2,J_1),U_1),M),N)).
% 16.10/16.08 all U Ma Na J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (plus_plus_nat(times_times_nat(I_1,U),Ma)=plus_plus_nat(times_times_nat(J,U),Na)<->plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)=Na)).
% 16.10/16.08 all U Ma Na I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))))).
% 16.10/16.08 all U_1 M N I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->minus_minus_nat(plus_plus_nat(times_times_nat(I_2,U_1),M),plus_plus_nat(times_times_nat(J_1,U_1),N))=minus_minus_nat(M,plus_plus_nat(times_times_nat(minus_minus_nat(J_1,I_2),U_1),N))).
% 16.10/16.08 all U Ma Na I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (plus_plus_nat(times_times_nat(I_1,U),Ma)=plus_plus_nat(times_times_nat(J,U),Na)<->Ma=plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))).
% 16.10/16.08 all K F Na (is_int(K)-> ((all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat(I,one_one_nat)),hAPP_nat_int(F,I)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),Na))&hAPP_nat_int(F,I)=K)))))).
% 16.10/16.08 all K F Na (is_int(K)-> ((all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat(I,one_one_nat)),hAPP_nat_int(F,I)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),Na))&hAPP_nat_int(F,I)=K)))))).
% 16.10/16.08 all X Y (is_int(X)->if_int(fTrue,X,Y)=X).
% 16.10/16.08 all X Y (is_int(Y)->if_int(fFalse,X,Y)=Y).
% 16.10/16.08 all P (is_bool(P)->P=fTrue|P=fFalse).
% 16.10/16.08 all X Y (if_nat(fTrue,X,Y)=X).
% 16.10/16.08 all X Y (if_nat(fFalse,X,Y)=Y).
% 16.10/16.08 all P (is_bool(P)->P=fTrue|P=fFalse).
% 16.10/16.08 -(hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int).
% 16.10/16.08 end_of_list.
% 16.10/16.08
% 16.10/16.08 -------> usable clausifies to:
% 16.10/16.08
% 16.10/16.08 list(usable).
% 16.10/16.08 0 [] A=A.
% 16.10/16.08 0 [] -is_int(B_1_1)|is_int(abs_abs_int(B_1_1)).
% 16.10/16.08 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(minus_minus_int(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_int(one_one_int).
% 16.10/16.08 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(plus_plus_int(B_1_1,B_2_1)).
% 16.10/16.08 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(times_times_int(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_int(zero_zero_int).
% 16.10/16.08 0 [] is_int(undefined_int(int)).
% 16.10/16.08 0 [] -is_bool(B_1_1)| -is_int(B_2_1)| -is_int(B_3_1)|is_int(if_int(B_1_1,B_2_1,B_3_1)).
% 16.10/16.08 0 [] -is_int(B_1_1)|is_int(bit0(B_1_1)).
% 16.10/16.08 0 [] -is_int(B_1_1)|is_int(bit1(B_1_1)).
% 16.10/16.08 0 [] is_int(min).
% 16.10/16.08 0 [] is_int(pls).
% 16.10/16.08 0 [] -is_int(B_1_1)|is_int(number_number_of_int(B_1_1)).
% 16.10/16.08 0 [] -is_int(B_1_1)|is_int(succ(B_1_1)).
% 16.10/16.08 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(legendre(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_bool(fFalse).
% 16.10/16.08 0 [] is_bool(fTrue).
% 16.10/16.08 0 [] -is_int(B_2_1)|is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_int(hAPP_nat_int(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 16.10/16.08 0 [] is_int(m).
% 16.10/16.08 0 [] is_int(m1).
% 16.10/16.08 0 [] is_int(s1).
% 16.10/16.08 0 [] is_int(s).
% 16.10/16.08 0 [] is_int(t).
% 16.10/16.08 0 [] is_int(x).
% 16.10/16.08 0 [] is_int(y).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)).
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|Xa=zero_zero_int.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|Ya=zero_zero_int.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 16.10/16.08 0 [] plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Xa=zero_zero_real.
% 16.10/16.08 0 [] plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Ya=zero_zero_real.
% 16.10/16.08 0 [] plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls))))=one_one_int.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls))))=one_one_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls))))=one_one_real.
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int|A_1=zero_zero_int.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A_1!=zero_zero_int.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_real|A_1=zero_zero_real.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real|A_1!=zero_zero_real.
% 16.10/16.08 0 [] plus_plus_int(one_one_int,number_number_of_int(W_13))=number_number_of_int(plus_plus_int(bit1(pls),W_13)).
% 16.10/16.08 0 [] plus_plus_real(one_one_real,number267125858f_real(W_13))=number267125858f_real(plus_plus_int(bit1(pls),W_13)).
% 16.10/16.08 0 [] plus_plus_int(number_number_of_int(V_17),one_one_int)=number_number_of_int(plus_plus_int(V_17,bit1(pls))).
% 16.10/16.08 0 [] plus_plus_real(number267125858f_real(V_17),one_one_real)=number267125858f_real(plus_plus_int(V_17,bit1(pls))).
% 16.10/16.08 0 [] plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 16.10/16.08 0 [] plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 16.10/16.08 0 [] plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 16.10/16.08 0 [] plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 16.10/16.08 0 [] plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit0(bit1(pls))))).
% 16.10/16.08 0 [] number_number_of_nat(W_12)!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_12))=one_one_int.
% 16.10/16.08 0 [] number_number_of_nat(W_12)=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_12))=zero_zero_int.
% 16.10/16.08 0 [] number_number_of_nat(W_12)!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_12))=one_one_nat.
% 16.10/16.08 0 [] number_number_of_nat(W_12)=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_12))=zero_zero_nat.
% 16.10/16.08 0 [] number_number_of_nat(W_12)!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_12))=one_one_real.
% 16.10/16.08 0 [] number_number_of_nat(W_12)=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_12))=zero_zero_real.
% 16.10/16.08 0 [] one_one_int=number_number_of_int(bit1(pls)).
% 16.10/16.08 0 [] one_one_real=number267125858f_real(bit1(pls)).
% 16.10/16.08 0 [] number_number_of_int(bit1(pls))=one_one_int.
% 16.10/16.08 0 [] number267125858f_real(bit1(pls))=one_one_real.
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)).
% 16.10/16.08 0 [] -is_int(X)| -is_int(Y)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] plus_plus_int(number_number_of_int(V_1),number_number_of_int(W))=number_number_of_int(plus_plus_int(V_1,W)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 16.10/16.08 0 [] zero_zero_int=number_number_of_int(pls).
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M)),N)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M),N)).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M),N))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M)),N).
% 16.10/16.08 0 [] plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M),plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N),Z))=plus_plus_int(hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M,N)),Z).
% 16.10/16.08 0 [] plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M,N)).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 16.10/16.08 0 [] number_number_of_nat(pls)=zero_zero_nat.
% 16.10/16.08 0 [] zero_zero_nat=number_number_of_nat(pls).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Na)!=zero_zero_int|Na=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int|Na!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 16.10/16.08 0 [] plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(I_2,K_1)),plus_plus_int(J_1,K_1))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(V_2).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(V_1).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(plus_plus_int(V_1,V_2)).
% 16.10/16.08 0 [] one_one_int=number_number_of_int(bit1(pls)).
% 16.10/16.08 0 [] number_number_of_nat(bit1(pls))=one_one_nat.
% 16.10/16.08 0 [] one_one_nat=number_number_of_nat(bit1(pls)).
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|number_number_of_int(Xa)!=number_number_of_int(Ya)|Xa=Ya.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|number_number_of_int(Xa)=number_number_of_int(Ya)|Xa!=Ya.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|number267125858f_real(Xa)!=number267125858f_real(Ya)|Xa=Ya.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|number267125858f_real(Xa)=number267125858f_real(Ya)|Xa!=Ya.
% 16.10/16.08 0 [] number_number_of_nat(Wa)!=Xa|Xa=number_number_of_nat(Wa).
% 16.10/16.08 0 [] number_number_of_nat(Wa)=Xa|Xa!=number_number_of_nat(Wa).
% 16.10/16.08 0 [] -is_int(Xa)|number_number_of_int(Wa)!=Xa|Xa=number_number_of_int(Wa).
% 16.10/16.08 0 [] -is_int(Xa)|number_number_of_int(Wa)=Xa|Xa!=number_number_of_int(Wa).
% 16.10/16.08 0 [] number267125858f_real(Wa)!=Xa|Xa=number267125858f_real(Wa).
% 16.10/16.08 0 [] number267125858f_real(Wa)=Xa|Xa!=number267125858f_real(Wa).
% 16.10/16.08 0 [] -is_int(K)| -is_int(L_1)|bit1(K)!=bit1(L_1)|K=L_1.
% 16.10/16.08 0 [] -is_int(K)| -is_int(L_1)|bit1(K)=bit1(L_1)|K!=L_1.
% 16.10/16.08 0 [] -is_int(K)| -is_int(L_1)|bit0(K)!=bit0(L_1)|K=L_1.
% 16.10/16.08 0 [] -is_int(K)| -is_int(L_1)|bit0(K)=bit0(L_1)|K!=L_1.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real)).
% 16.10/16.08 0 [] plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3)).
% 16.10/16.08 0 [] plus_plus_int(X,plus_plus_int(Y,Z))=plus_plus_int(Y,plus_plus_int(X,Z)).
% 16.10/16.08 0 [] plus_plus_int(Z,W)=plus_plus_int(W,Z).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)!=hAPP_nat_int(semiri1621563631at_int,Na)|Ma=Na.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)|Ma!=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 16.10/16.08 0 [] -is_int(Wa)| -is_int(Z_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1))|Wa=Z_1.
% 16.10/16.08 0 [] -is_int(Wa)| -is_int(Z_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.08 0 [] -is_int(Wa)| -is_int(Z_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))|Wa!=Z_1.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)).
% 16.10/16.08 0 [] -is_int(A_1)|plus_plus_int(A_1,A_1)!=zero_zero_int|A_1=zero_zero_int.
% 16.10/16.08 0 [] -is_int(A_1)|plus_plus_int(A_1,A_1)=zero_zero_int|A_1!=zero_zero_int.
% 16.10/16.08 0 [] plus_plus_real(A_1,A_1)!=zero_zero_real|A_1=zero_zero_real.
% 16.10/16.08 0 [] plus_plus_real(A_1,A_1)=zero_zero_real|A_1!=zero_zero_real.
% 16.10/16.08 0 [] bit1(K_1)!=pls.
% 16.10/16.08 0 [] pls!=bit1(L).
% 16.10/16.08 0 [] bit1(K_1)!=bit0(L).
% 16.10/16.08 0 [] bit0(K_1)!=bit1(L).
% 16.10/16.08 0 [] -is_int(K)|bit0(K)!=pls|K=pls.
% 16.10/16.08 0 [] -is_int(K)|bit0(K)=pls|K!=pls.
% 16.10/16.08 0 [] -is_int(L_1)|pls!=bit0(L_1)|pls=L_1.
% 16.10/16.08 0 [] -is_int(L_1)|pls=bit0(L_1)|pls!=L_1.
% 16.10/16.08 0 [] bit0(pls)=pls.
% 16.10/16.08 0 [] pls=zero_zero_int.
% 16.10/16.08 0 [] zero_zero_int!=one_one_int.
% 16.10/16.08 0 [] -is_int(K_1)|plus_plus_int(K_1,pls)=K_1.
% 16.10/16.08 0 [] -is_int(K_1)|plus_plus_int(pls,K_1)=K_1.
% 16.10/16.08 0 [] plus_plus_int(bit0(K_1),bit0(L))=bit0(plus_plus_int(K_1,L)).
% 16.10/16.08 0 [] bit0(K_1)=plus_plus_int(K_1,K_1).
% 16.10/16.08 0 [] -is_int(Z)|plus_plus_int(Z,zero_zero_int)=Z.
% 16.10/16.08 0 [] -is_int(Z)|plus_plus_int(zero_zero_int,Z)=Z.
% 16.10/16.08 0 [] number_number_of_int(pls)=zero_zero_int.
% 16.10/16.08 0 [] number_number_of_nat(pls)=zero_zero_nat.
% 16.10/16.08 0 [] number267125858f_real(pls)=zero_zero_real.
% 16.10/16.08 0 [] number_number_of_int(pls)=zero_zero_int.
% 16.10/16.08 0 [] number267125858f_real(pls)=zero_zero_real.
% 16.10/16.08 0 [] zero_zero_int=number_number_of_int(pls).
% 16.10/16.08 0 [] zero_zero_real=number267125858f_real(pls).
% 16.10/16.08 0 [] -is_int(A_100)|plus_plus_int(number_number_of_int(pls),A_100)=A_100.
% 16.10/16.08 0 [] plus_plus_real(number267125858f_real(pls),A_100)=A_100.
% 16.10/16.08 0 [] -is_int(A_99)|plus_plus_int(A_99,number_number_of_int(pls))=A_99.
% 16.10/16.08 0 [] plus_plus_real(A_99,number267125858f_real(pls))=A_99.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),number_number_of_nat(Wa))!=zero_zero_int|A_1=zero_zero_int.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),number_number_of_nat(Wa))!=zero_zero_int|number_number_of_nat(Wa)!=zero_zero_nat.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),number_number_of_nat(Wa))=zero_zero_int|A_1!=zero_zero_int|number_number_of_nat(Wa)=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_1),number_number_of_nat(Wa))!=zero_zero_nat|A_1=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_1),number_number_of_nat(Wa))!=zero_zero_nat|number_number_of_nat(Wa)!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_1),number_number_of_nat(Wa))=zero_zero_nat|A_1!=zero_zero_nat|number_number_of_nat(Wa)=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),number_number_of_nat(Wa))!=zero_zero_real|A_1=zero_zero_real.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),number_number_of_nat(Wa))!=zero_zero_real|number_number_of_nat(Wa)!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),number_number_of_nat(Wa))=zero_zero_real|A_1!=zero_zero_real|number_number_of_nat(Wa)=zero_zero_nat.
% 16.10/16.08 0 [] plus_plus_int(number_number_of_int(V_16),plus_plus_int(number_number_of_int(W_11),Z_6))=plus_plus_int(number_number_of_int(plus_plus_int(V_16,W_11)),Z_6).
% 16.10/16.08 0 [] plus_plus_real(number267125858f_real(V_16),plus_plus_real(number267125858f_real(W_11),Z_6))=plus_plus_real(number267125858f_real(plus_plus_int(V_16,W_11)),Z_6).
% 16.10/16.08 0 [] plus_plus_int(number_number_of_int(V_15),number_number_of_int(W_10))=number_number_of_int(plus_plus_int(V_15,W_10)).
% 16.10/16.08 0 [] plus_plus_real(number267125858f_real(V_15),number267125858f_real(W_10))=number267125858f_real(plus_plus_int(V_15,W_10)).
% 16.10/16.08 0 [] number_number_of_int(plus_plus_int(V_14,W_9))=plus_plus_int(number_number_of_int(V_14),number_number_of_int(W_9)).
% 16.10/16.08 0 [] number267125858f_real(plus_plus_int(V_14,W_9))=plus_plus_real(number267125858f_real(V_14),number267125858f_real(W_9)).
% 16.10/16.08 0 [] plus_plus_int(bit1(K_1),bit0(L))=bit1(plus_plus_int(K_1,L)).
% 16.10/16.08 0 [] plus_plus_int(bit0(K_1),bit1(L))=bit1(plus_plus_int(K_1,L)).
% 16.10/16.08 0 [] bit1(K_1)=plus_plus_int(plus_plus_int(one_one_int,K_1),K_1).
% 16.10/16.08 0 [] plus_plus_int(plus_plus_int(one_one_int,Z),Z)!=zero_zero_int.
% 16.10/16.08 0 [] number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_nat(semiri984289939at_nat,N_26).
% 16.10/16.08 0 [] number_number_of_int(hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_int(semiri1621563631at_int,N_26).
% 16.10/16.08 0 [] number267125858f_real(hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_real(semiri132038758t_real,N_26).
% 16.10/16.08 0 [] -is_int(A_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))))|A_1!=zero_zero_int.
% 16.10/16.08 0 [] -is_int(A_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))))|A_1=zero_zero_int.
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))))|A_1!=zero_zero_real.
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))))|A_1=zero_zero_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_98),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_98),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)).
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa=zero_zero_int.
% 16.10/16.08 0 [] -is_int(Xa)| -is_int(Ya)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Ya=zero_zero_int.
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa=zero_zero_real.
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Ya=zero_zero_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(hAPP_nat_int(power_power_int(X_15),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_11),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(hAPP_nat_real(power_power_real(X_15),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Y_11),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)).
% 16.10/16.08 0 [] number_number_of_int(bit0(W_8))=plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(W_8)),number_number_of_int(W_8)).
% 16.10/16.08 0 [] number267125858f_real(bit0(W_8))=plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(W_8)),number267125858f_real(W_8)).
% 16.10/16.08 0 [] number_number_of_int(bit1(W_7))=plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_7)),number_number_of_int(W_7)).
% 16.10/16.08 0 [] number267125858f_real(bit1(W_7))=plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(W_7)),number267125858f_real(W_7)).
% 16.10/16.08 0 [] number_number_of_int(bit1(pls))=one_one_int.
% 16.10/16.08 0 [] number_number_of_nat(bit1(pls))=one_one_nat.
% 16.10/16.08 0 [] number267125858f_real(bit1(pls))=one_one_real.
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_25)),hAPP_nat_int(power_power_int(number_number_of_int(bit0(bit1(pls)))),N_25))).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_25)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_25))).
% 16.10/16.08 0 [] number_number_of_int(bit0(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls)))).
% 16.10/16.08 0 [] number_number_of_int(bit1(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))).
% 16.10/16.08 0 [] plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Xa=zero_zero_real.
% 16.10/16.08 0 [] plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Ya=zero_zero_real.
% 16.10/16.08 0 [] plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_97))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_97),N_24))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_97))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_97),N_24))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_97))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_97),N_24))).
% 16.10/16.08 0 [] N_23!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),N_23)=one_one_int.
% 16.10/16.08 0 [] N_23=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),N_23)=zero_zero_int.
% 16.10/16.08 0 [] N_23!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),N_23)=one_one_nat.
% 16.10/16.08 0 [] N_23=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),N_23)=zero_zero_nat.
% 16.10/16.08 0 [] N_23!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),N_23)=one_one_real.
% 16.10/16.08 0 [] N_23=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),N_23)=zero_zero_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_96))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_96),N_21)),hAPP_nat_int(power_power_int(A_96),N_22))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_96))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_96),N_21)),hAPP_nat_nat(power_power_nat(A_96),N_22))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_96))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_96),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_96),N_21)),hAPP_nat_real(power_power_real(A_96),N_22))).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,one_one_int))).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(one_one_nat,one_one_nat))).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(one_one_real,one_one_real))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))| -hBOOL(hAPP_int_bool(P_1,plus_plus_int(K,one_one_int)))|is_int($f1(P_1,K,I_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))| -hBOOL(hAPP_int_bool(P_1,plus_plus_int(K,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),$f1(P_1,K,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))| -hBOOL(hAPP_int_bool(P_1,plus_plus_int(K,one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f1(P_1,K,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))| -hBOOL(hAPP_int_bool(P_1,plus_plus_int(K,one_one_int)))| -hBOOL(hAPP_int_bool(P_1,plus_plus_int($f1(P_1,K,I_1),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 16.10/16.08 0 [] zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 16.10/16.08 0 [] zero_zero_real!=one_one_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,J_1)),I_2)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(J_1,I_2)),I_2)).
% 16.10/16.08 0 [] -is_int(K_1)|number_number_of_int(K_1)=K_1.
% 16.10/16.08 0 [] Ma=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)).
% 16.10/16.08 0 [] Ma!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] Ma!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)).
% 16.10/16.08 0 [] plus_plus_nat(M,N)=plus_plus_nat(N,M).
% 16.10/16.08 0 [] plus_plus_nat(X,plus_plus_nat(Y,Z))=plus_plus_nat(Y,plus_plus_nat(X,Z)).
% 16.10/16.08 0 [] plus_plus_nat(plus_plus_nat(M,N),K_1)=plus_plus_nat(M,plus_plus_nat(N,K_1)).
% 16.10/16.08 0 [] plus_plus_nat(K,Ma)!=plus_plus_nat(K,Na)|Ma=Na.
% 16.10/16.08 0 [] plus_plus_nat(K,Ma)=plus_plus_nat(K,Na)|Ma!=Na.
% 16.10/16.08 0 [] plus_plus_nat(Ma,K)!=plus_plus_nat(Na,K)|Ma=Na.
% 16.10/16.08 0 [] plus_plus_nat(Ma,K)=plus_plus_nat(Na,K)|Ma!=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] X=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|M!=N.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T_1))|S_1!=T_1.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),plus_plus_nat(J_1,M))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),plus_plus_nat(M,J_1))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,K_1))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,L))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L))|plus_plus_nat(M,L)!=plus_plus_nat(K_1,N)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,J_1)),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)).
% 16.10/16.08 0 [] N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N!=zero_zero_nat.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_2),M)),hAPP_nat_nat(power_power_nat(I_2),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))|Na=zero_zero_nat.
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|Na!=zero_zero_nat.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(Ma,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(Ma,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(Ma,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] Na!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|Na!=zero_zero_nat.
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))|number_number_of_nat(Wa)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))|number_number_of_nat(Wa)!=zero_zero_nat.
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_3)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3)).
% 16.10/16.08 0 [] -is_int(X_14)| -is_int(Y_10)|X_14=Y_10|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_14),Y_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_10),X_14)).
% 16.10/16.08 0 [] X_14=Y_10|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_14),Y_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_10),X_14)).
% 16.10/16.08 0 [] plus_plus_nat(M,N)!=M|N=zero_zero_nat.
% 16.10/16.08 0 [] plus_plus_nat(Ma,Na)!=zero_zero_nat|Ma=zero_zero_nat.
% 16.10/16.08 0 [] plus_plus_nat(Ma,Na)!=zero_zero_nat|Na=zero_zero_nat.
% 16.10/16.08 0 [] plus_plus_nat(Ma,Na)=zero_zero_nat|Ma!=zero_zero_nat|Na!=zero_zero_nat.
% 16.10/16.08 0 [] plus_plus_nat(M,zero_zero_nat)=M.
% 16.10/16.08 0 [] plus_plus_nat(zero_zero_nat,N)=N.
% 16.10/16.08 0 [] -is_int(A_95)|hAPP_nat_int(power_power_int(A_95),one_one_nat)=A_95.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_95),one_one_nat)=A_95.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_95),one_one_nat)=A_95.
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,Ma)!=hAPP_nat_real(semiri132038758t_real,Na)|Ma=Na.
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,Ma)=hAPP_nat_real(semiri132038758t_real,Na)|Ma!=Na.
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,Ma)!=hAPP_nat_nat(semiri984289939at_nat,Na)|Ma=Na.
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,Ma)=hAPP_nat_nat(semiri984289939at_nat,Na)|Ma!=Na.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)!=hAPP_nat_int(semiri1621563631at_int,Na)|Ma=Na.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)|Ma!=Na.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Xa)!=hAPP_nat_int(semiri1621563631at_int,Ya)|Xa=Ya.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,Ya)|Xa!=Ya.
% 16.10/16.08 0 [] -hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,if_nat(P_1,Xa,Ya)).
% 16.10/16.08 0 [] hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,Ya)=hAPP_nat_int(semiri1621563631at_int,if_nat(P_1,Xa,Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.08 0 [] one_one_int!=zero_zero_int.
% 16.10/16.08 0 [] one_one_nat!=zero_zero_nat.
% 16.10/16.08 0 [] one_one_real!=zero_zero_real.
% 16.10/16.08 0 [] zero_zero_int!=one_one_int.
% 16.10/16.08 0 [] zero_zero_nat!=one_one_nat.
% 16.10/16.08 0 [] zero_zero_real!=one_one_real.
% 16.10/16.08 0 [] -is_int(A_94)|A_94=zero_zero_int|hAPP_nat_int(power_power_int(A_94),N_20)!=zero_zero_int.
% 16.10/16.08 0 [] A_94=zero_zero_real|hAPP_nat_real(power_power_real(A_94),N_20)!=zero_zero_real.
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(one_one_int),N_19)=one_one_int.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(one_one_nat),N_19)=one_one_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(one_one_real),N_19)=one_one_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_10)),hAPP_nat_int(semiri1621563631at_int,N_18))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_10)),hAPP_nat_nat(semiri984289939at_nat,N_18))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_10)),hAPP_nat_real(semiri132038758t_real,N_18))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_17)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_17)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_17)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17)).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M_8,N_16))=plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_8),hAPP_nat_int(semiri1621563631at_int,N_16)).
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,plus_plus_nat(M_8,N_16))=plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,M_8),hAPP_nat_nat(semiri984289939at_nat,N_16)).
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,plus_plus_nat(M_8,N_16))=plus_plus_real(hAPP_nat_real(semiri132038758t_real,M_8),hAPP_nat_real(semiri132038758t_real,N_16)).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_7),N_15))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_7)),N_15).
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(M_7),N_15))=hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,M_7)),N_15).
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(M_7),N_15))=hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,M_7)),N_15).
% 16.10/16.08 0 [] one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 16.10/16.08 0 [] plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(X,Y)).
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X)),N)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X),N)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_93))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_61),C_45))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_61),plus_plus_int(A_93,C_45))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_93))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_61),C_45))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_61),plus_plus_nat(A_93,C_45))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_93))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_61),C_45))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_61),plus_plus_real(A_93,C_45))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_92))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_92),N_14))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_92))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_92),N_14))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_92))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_92),N_14))).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_91),plus_plus_int(A_91,one_one_int))).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_91),plus_plus_nat(A_91,one_one_nat))).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_91),plus_plus_real(A_91,one_one_real))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))|hAPP_nat_int(power_power_int(A_1),Ma)!=hAPP_nat_int(power_power_int(A_1),Na)|Ma=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))|hAPP_nat_int(power_power_int(A_1),Ma)=hAPP_nat_int(power_power_int(A_1),Na)|Ma!=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_1))|hAPP_nat_nat(power_power_nat(A_1),Ma)!=hAPP_nat_nat(power_power_nat(A_1),Na)|Ma=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_1))|hAPP_nat_nat(power_power_nat(A_1),Ma)=hAPP_nat_nat(power_power_nat(A_1),Na)|Ma!=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))|hAPP_nat_real(power_power_real(A_1),Ma)!=hAPP_nat_real(power_power_real(A_1),Na)|Ma=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))|hAPP_nat_real(power_power_real(A_1),Ma)=hAPP_nat_real(power_power_real(A_1),Na)|Ma!=Na.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_90))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_90),M_6)),hAPP_nat_int(power_power_int(A_90),N_13)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_90))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_90),M_6)),hAPP_nat_nat(power_power_nat(A_90),N_13)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_90))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_90),M_6)),hAPP_nat_real(power_power_real(A_90),N_13)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_89))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_89),N_12)),hAPP_nat_int(power_power_int(A_89),N_11))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_89))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_89),N_12)),hAPP_nat_nat(power_power_nat(A_89),N_11))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_89))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_89),N_12)),hAPP_nat_real(power_power_real(A_89),N_11))).
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),Na)!=zero_zero_int|A_1=zero_zero_int.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),Na)!=zero_zero_int|Na!=zero_zero_nat.
% 16.10/16.08 0 [] -is_int(A_1)|hAPP_nat_int(power_power_int(A_1),Na)=zero_zero_int|A_1!=zero_zero_int|Na=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_1),Na)!=zero_zero_nat|A_1=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_1),Na)!=zero_zero_nat|Na!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_1),Na)=zero_zero_nat|A_1!=zero_zero_nat|Na=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),Na)!=zero_zero_real|A_1=zero_zero_real.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),Na)!=zero_zero_real|Na!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_1),Na)=zero_zero_real|A_1!=zero_zero_real|Na=zero_zero_nat.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_5)),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_5)),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_5)),zero_zero_real)).
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(A_88),zero_zero_nat)=one_one_int.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(A_88),zero_zero_nat)=one_one_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(A_88),zero_zero_nat)=one_one_real.
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.08 0 [] -is_int(K_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f2(K_1))).
% 16.10/16.08 0 [] -is_int(K_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|K_1=hAPP_nat_int(semiri1621563631at_int,$f2(K_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f3(I_2,J_1))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))|plus_plus_nat(I_2,$f3(I_2,J_1))=J_1.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(Xa),Na)!=one_one_nat|Xa=one_one_nat|Na=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(Xa),Na)=one_one_nat|Xa!=one_one_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(Xa),Na)=one_one_nat|Na!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(X_13),zero_zero_nat)=one_one_int.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(X_13),zero_zero_nat)=one_one_nat.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(X_13),zero_zero_nat)=one_one_real.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_1,A_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_1,A_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_1,A_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_1)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_1,A_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_87))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_60))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_87,B_60))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_87))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_60))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_87,B_60))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_87))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_60))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_87,B_60))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_86),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_59),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_86,B_59)),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_86),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_59),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_86,B_59)),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_86),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_59),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_86,B_59)),zero_zero_real)).
% 16.10/16.08 0 [] -is_int(Xa)|zero_zero_int!=Xa|Xa=zero_zero_int.
% 16.10/16.08 0 [] -is_int(Xa)|zero_zero_int=Xa|Xa!=zero_zero_int.
% 16.10/16.08 0 [] zero_zero_nat!=Xa|Xa=zero_zero_nat.
% 16.10/16.08 0 [] zero_zero_nat=Xa|Xa!=zero_zero_nat.
% 16.10/16.08 0 [] zero_zero_real!=Xa|Xa=zero_zero_real.
% 16.10/16.08 0 [] zero_zero_real=Xa|Xa!=zero_zero_real.
% 16.10/16.08 0 [] -is_int(B_58)| -is_int(C_44)|plus_plus_int(B_58,A_85)!=plus_plus_int(C_44,A_85)|B_58=C_44.
% 16.10/16.08 0 [] plus_plus_nat(B_58,A_85)!=plus_plus_nat(C_44,A_85)|B_58=C_44.
% 16.10/16.08 0 [] plus_plus_real(B_58,A_85)!=plus_plus_real(C_44,A_85)|B_58=C_44.
% 16.10/16.08 0 [] -is_int(B_57)| -is_int(C_43)|plus_plus_int(A_84,B_57)!=plus_plus_int(A_84,C_43)|B_57=C_43.
% 16.10/16.08 0 [] plus_plus_nat(A_84,B_57)!=plus_plus_nat(A_84,C_43)|B_57=C_43.
% 16.10/16.08 0 [] plus_plus_real(A_84,B_57)!=plus_plus_real(A_84,C_43)|B_57=C_43.
% 16.10/16.08 0 [] -is_int(B_56)| -is_int(C_42)|plus_plus_int(A_83,B_56)!=plus_plus_int(A_83,C_42)|B_56=C_42.
% 16.10/16.08 0 [] plus_plus_nat(A_83,B_56)!=plus_plus_nat(A_83,C_42)|B_56=C_42.
% 16.10/16.08 0 [] plus_plus_real(A_83,B_56)!=plus_plus_real(A_83,C_42)|B_56=C_42.
% 16.10/16.08 0 [] plus_plus_int(plus_plus_int(A_82,B_55),plus_plus_int(C_41,D_14))=plus_plus_int(plus_plus_int(A_82,C_41),plus_plus_int(B_55,D_14)).
% 16.10/16.08 0 [] plus_plus_nat(plus_plus_nat(A_82,B_55),plus_plus_nat(C_41,D_14))=plus_plus_nat(plus_plus_nat(A_82,C_41),plus_plus_nat(B_55,D_14)).
% 16.10/16.08 0 [] plus_plus_real(plus_plus_real(A_82,B_55),plus_plus_real(C_41,D_14))=plus_plus_real(plus_plus_real(A_82,C_41),plus_plus_real(B_55,D_14)).
% 16.10/16.08 0 [] -is_int(B)| -is_int(C_1)|plus_plus_int(B,A_1)!=plus_plus_int(C_1,A_1)|B=C_1.
% 16.10/16.08 0 [] -is_int(B)| -is_int(C_1)|plus_plus_int(B,A_1)=plus_plus_int(C_1,A_1)|B!=C_1.
% 16.10/16.08 0 [] plus_plus_nat(B,A_1)!=plus_plus_nat(C_1,A_1)|B=C_1.
% 16.10/16.08 0 [] plus_plus_nat(B,A_1)=plus_plus_nat(C_1,A_1)|B!=C_1.
% 16.10/16.08 0 [] plus_plus_real(B,A_1)!=plus_plus_real(C_1,A_1)|B=C_1.
% 16.10/16.08 0 [] plus_plus_real(B,A_1)=plus_plus_real(C_1,A_1)|B!=C_1.
% 16.10/16.08 0 [] -is_int(B)| -is_int(C_1)|plus_plus_int(A_1,B)!=plus_plus_int(A_1,C_1)|B=C_1.
% 16.10/16.08 0 [] -is_int(B)| -is_int(C_1)|plus_plus_int(A_1,B)=plus_plus_int(A_1,C_1)|B!=C_1.
% 16.10/16.08 0 [] plus_plus_nat(A_1,B)!=plus_plus_nat(A_1,C_1)|B=C_1.
% 16.10/16.08 0 [] plus_plus_nat(A_1,B)=plus_plus_nat(A_1,C_1)|B!=C_1.
% 16.10/16.08 0 [] plus_plus_real(A_1,B)!=plus_plus_real(A_1,C_1)|B=C_1.
% 16.10/16.08 0 [] plus_plus_real(A_1,B)=plus_plus_real(A_1,C_1)|B!=C_1.
% 16.10/16.08 0 [] plus_plus_int(plus_plus_int(A_81,B_54),C_40)=plus_plus_int(plus_plus_int(A_81,C_40),B_54).
% 16.10/16.08 0 [] plus_plus_nat(plus_plus_nat(A_81,B_54),C_40)=plus_plus_nat(plus_plus_nat(A_81,C_40),B_54).
% 16.10/16.08 0 [] plus_plus_real(plus_plus_real(A_81,B_54),C_40)=plus_plus_real(plus_plus_real(A_81,C_40),B_54).
% 16.10/16.08 0 [] plus_plus_int(plus_plus_int(A_80,B_53),C_39)=plus_plus_int(A_80,plus_plus_int(B_53,C_39)).
% 16.10/16.08 0 [] plus_plus_nat(plus_plus_nat(A_80,B_53),C_39)=plus_plus_nat(A_80,plus_plus_nat(B_53,C_39)).
% 16.10/16.08 0 [] plus_plus_real(plus_plus_real(A_80,B_53),C_39)=plus_plus_real(A_80,plus_plus_real(B_53,C_39)).
% 16.10/16.08 0 [] plus_plus_int(plus_plus_int(A_79,B_52),C_38)=plus_plus_int(A_79,plus_plus_int(B_52,C_38)).
% 16.10/16.08 0 [] plus_plus_nat(plus_plus_nat(A_79,B_52),C_38)=plus_plus_nat(A_79,plus_plus_nat(B_52,C_38)).
% 16.10/16.08 0 [] plus_plus_real(plus_plus_real(A_79,B_52),C_38)=plus_plus_real(A_79,plus_plus_real(B_52,C_38)).
% 16.10/16.08 0 [] plus_plus_int(A_78,plus_plus_int(C_37,D_13))=plus_plus_int(plus_plus_int(A_78,C_37),D_13).
% 16.10/16.08 0 [] plus_plus_nat(A_78,plus_plus_nat(C_37,D_13))=plus_plus_nat(plus_plus_nat(A_78,C_37),D_13).
% 16.10/16.08 0 [] plus_plus_real(A_78,plus_plus_real(C_37,D_13))=plus_plus_real(plus_plus_real(A_78,C_37),D_13).
% 16.10/16.08 0 [] plus_plus_int(A_77,plus_plus_int(C_36,D_12))=plus_plus_int(C_36,plus_plus_int(A_77,D_12)).
% 16.10/16.08 0 [] plus_plus_nat(A_77,plus_plus_nat(C_36,D_12))=plus_plus_nat(C_36,plus_plus_nat(A_77,D_12)).
% 16.10/16.08 0 [] plus_plus_real(A_77,plus_plus_real(C_36,D_12))=plus_plus_real(C_36,plus_plus_real(A_77,D_12)).
% 16.10/16.08 0 [] plus_plus_int(A_76,C_35)=plus_plus_int(C_35,A_76).
% 16.10/16.08 0 [] plus_plus_nat(A_76,C_35)=plus_plus_nat(C_35,A_76).
% 16.10/16.08 0 [] plus_plus_real(A_76,C_35)=plus_plus_real(C_35,A_76).
% 16.10/16.08 0 [] -is_int(Xa)|one_one_int!=Xa|Xa=one_one_int.
% 16.10/16.08 0 [] -is_int(Xa)|one_one_int=Xa|Xa!=one_one_int.
% 16.10/16.08 0 [] one_one_nat!=Xa|Xa=one_one_nat.
% 16.10/16.08 0 [] one_one_nat=Xa|Xa!=one_one_nat.
% 16.10/16.08 0 [] one_one_real!=Xa|Xa=one_one_real.
% 16.10/16.08 0 [] one_one_real=Xa|Xa!=one_one_real.
% 16.10/16.08 0 [] -is_int(B)| -is_int(A_1)|B!=plus_plus_int(B,A_1)|A_1=zero_zero_int.
% 16.10/16.08 0 [] -is_int(B)| -is_int(A_1)|B=plus_plus_int(B,A_1)|A_1!=zero_zero_int.
% 16.10/16.08 0 [] B!=plus_plus_nat(B,A_1)|A_1=zero_zero_nat.
% 16.10/16.08 0 [] B=plus_plus_nat(B,A_1)|A_1!=zero_zero_nat.
% 16.10/16.08 0 [] B!=plus_plus_real(B,A_1)|A_1=zero_zero_real.
% 16.10/16.08 0 [] B=plus_plus_real(B,A_1)|A_1!=zero_zero_real.
% 16.10/16.08 0 [] -is_int(A_75)|plus_plus_int(A_75,zero_zero_int)=A_75.
% 16.10/16.08 0 [] plus_plus_nat(A_75,zero_zero_nat)=A_75.
% 16.10/16.08 0 [] plus_plus_real(A_75,zero_zero_real)=A_75.
% 16.10/16.08 0 [] -is_int(A_74)|plus_plus_int(A_74,zero_zero_int)=A_74.
% 16.10/16.08 0 [] plus_plus_nat(A_74,zero_zero_nat)=A_74.
% 16.10/16.08 0 [] plus_plus_real(A_74,zero_zero_real)=A_74.
% 16.10/16.08 0 [] -is_int(A_73)|plus_plus_int(A_73,zero_zero_int)=A_73.
% 16.10/16.08 0 [] plus_plus_nat(A_73,zero_zero_nat)=A_73.
% 16.10/16.08 0 [] plus_plus_real(A_73,zero_zero_real)=A_73.
% 16.10/16.08 0 [] -is_int(A_1)|zero_zero_int!=plus_plus_int(A_1,A_1)|A_1=zero_zero_int.
% 16.10/16.08 0 [] -is_int(A_1)|zero_zero_int=plus_plus_int(A_1,A_1)|A_1!=zero_zero_int.
% 16.10/16.08 0 [] zero_zero_real!=plus_plus_real(A_1,A_1)|A_1=zero_zero_real.
% 16.10/16.08 0 [] zero_zero_real=plus_plus_real(A_1,A_1)|A_1!=zero_zero_real.
% 16.10/16.08 0 [] -is_int(A_72)|plus_plus_int(zero_zero_int,A_72)=A_72.
% 16.10/16.08 0 [] plus_plus_nat(zero_zero_nat,A_72)=A_72.
% 16.10/16.08 0 [] plus_plus_real(zero_zero_real,A_72)=A_72.
% 16.10/16.08 0 [] -is_int(A_71)|plus_plus_int(zero_zero_int,A_71)=A_71.
% 16.10/16.08 0 [] plus_plus_nat(zero_zero_nat,A_71)=A_71.
% 16.10/16.08 0 [] plus_plus_real(zero_zero_real,A_71)=A_71.
% 16.10/16.08 0 [] -is_int(A_70)|plus_plus_int(zero_zero_int,A_70)=A_70.
% 16.10/16.08 0 [] plus_plus_nat(zero_zero_nat,A_70)=A_70.
% 16.10/16.08 0 [] plus_plus_real(zero_zero_real,A_70)=A_70.
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_34,A_69)),plus_plus_int(C_34,B_51)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_69),B_51)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_34,A_69)),plus_plus_nat(C_34,B_51)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_69),B_51)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_34,A_69)),plus_plus_real(C_34,B_51)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_69),B_51)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_68,C_33)),plus_plus_int(B_50,C_33)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_68),B_50)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_68,C_33)),plus_plus_nat(B_50,C_33)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_68),B_50)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_68,C_33)),plus_plus_real(B_50,C_33)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_68),B_50)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_67),B_49))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_32),D_11))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_67,C_32)),plus_plus_int(B_49,D_11))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_67),B_49))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_32),D_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_67,C_32)),plus_plus_nat(B_49,D_11))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_67),B_49))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_32),D_11))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_67,C_32)),plus_plus_real(B_49,D_11))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_66),B_48))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_31,A_66)),plus_plus_int(C_31,B_48))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_66),B_48))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_31,A_66)),plus_plus_nat(C_31,B_48))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_66),B_48))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_31,A_66)),plus_plus_real(C_31,B_48))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_65),B_47))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_65,C_30)),plus_plus_int(B_47,C_30))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_65),B_47))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_65,C_30)),plus_plus_nat(B_47,C_30))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_65),B_47))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_65,C_30)),plus_plus_real(B_47,C_30))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)).
% 16.10/16.08 0 [] -is_int(X_12)|hAPP_nat_int(power_power_int(X_12),one_one_nat)=X_12.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(X_12),one_one_nat)=X_12.
% 16.10/16.08 0 [] hAPP_nat_real(power_power_real(X_12),one_one_nat)=X_12.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(Ma),Na)!=zero_zero_nat|Na!=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(Ma),Na)!=zero_zero_nat|Ma=zero_zero_nat.
% 16.10/16.08 0 [] hAPP_nat_nat(power_power_nat(Ma),Na)=zero_zero_nat|Na=zero_zero_nat|Ma!=zero_zero_nat.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f4(A,N))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_nat_real(power_power_real($f4(A,N)),N)=A.
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))|hAPP_nat_real(power_power_real(Y_1),N)!=A|Y_1=$f4(A,N).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f5(A,N))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_nat_real(power_power_real($f5(A,N)),N)=A.
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|plus_plus_nat(number_number_of_nat(V_1),one_one_nat)=one_one_nat.
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|plus_plus_nat(number_number_of_nat(V_1),one_one_nat)=number_number_of_nat(succ(V_1)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|plus_plus_nat(one_one_nat,number_number_of_nat(V_1))=one_one_nat.
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|plus_plus_nat(one_one_nat,number_number_of_nat(V_1))=number_number_of_nat(succ(V_1)).
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(plus_plus_int(A,B_1)),number_number_of_nat(bit1(bit1(pls))))=plus_plus_int(plus_plus_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),B_1)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit1(bit1(pls))))).
% 16.10/16.08 0 [] hAPP_nat_int(power_power_int(plus_plus_int(A,B_1)),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B_1)),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.08 0 [] tn=minus_minus_nat(nat(t),one_one_nat).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(nat(t),one_one_nat))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A_1,B)),zero_zero_int)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A_1,B)),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A_1,B)),zero_zero_real)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A_1,B)),zero_zero_real)).
% 16.10/16.08 0 [] times_times_int(A_64,B_46)=times_times_int(B_46,A_64).
% 16.10/16.08 0 [] times_times_nat(A_64,B_46)=times_times_nat(B_46,A_64).
% 16.10/16.08 0 [] times_times_real(A_64,B_46)=times_times_real(B_46,A_64).
% 16.10/16.08 0 [] times_times_int(Lx_6,times_times_int(Rx_6,Ry_4))=times_times_int(Rx_6,times_times_int(Lx_6,Ry_4)).
% 16.10/16.08 0 [] times_times_nat(Lx_6,times_times_nat(Rx_6,Ry_4))=times_times_nat(Rx_6,times_times_nat(Lx_6,Ry_4)).
% 16.10/16.08 0 [] times_times_real(Lx_6,times_times_real(Rx_6,Ry_4))=times_times_real(Rx_6,times_times_real(Lx_6,Ry_4)).
% 16.10/16.08 0 [] times_times_int(Lx_5,times_times_int(Rx_5,Ry_3))=times_times_int(times_times_int(Lx_5,Rx_5),Ry_3).
% 16.10/16.08 0 [] times_times_nat(Lx_5,times_times_nat(Rx_5,Ry_3))=times_times_nat(times_times_nat(Lx_5,Rx_5),Ry_3).
% 16.10/16.08 0 [] times_times_real(Lx_5,times_times_real(Rx_5,Ry_3))=times_times_real(times_times_real(Lx_5,Rx_5),Ry_3).
% 16.10/16.08 0 [] times_times_int(times_times_int(A_63,B_45),C_29)=times_times_int(A_63,times_times_int(B_45,C_29)).
% 16.10/16.08 0 [] times_times_nat(times_times_nat(A_63,B_45),C_29)=times_times_nat(A_63,times_times_nat(B_45,C_29)).
% 16.10/16.08 0 [] times_times_real(times_times_real(A_63,B_45),C_29)=times_times_real(A_63,times_times_real(B_45,C_29)).
% 16.10/16.08 0 [] times_times_int(times_times_int(Lx_4,Ly_4),Rx_4)=times_times_int(Lx_4,times_times_int(Ly_4,Rx_4)).
% 16.10/16.08 0 [] times_times_nat(times_times_nat(Lx_4,Ly_4),Rx_4)=times_times_nat(Lx_4,times_times_nat(Ly_4,Rx_4)).
% 16.10/16.08 0 [] times_times_real(times_times_real(Lx_4,Ly_4),Rx_4)=times_times_real(Lx_4,times_times_real(Ly_4,Rx_4)).
% 16.10/16.08 0 [] times_times_int(times_times_int(Lx_3,Ly_3),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_3).
% 16.10/16.08 0 [] times_times_nat(times_times_nat(Lx_3,Ly_3),Rx_3)=times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_3).
% 16.10/16.08 0 [] times_times_real(times_times_real(Lx_3,Ly_3),Rx_3)=times_times_real(times_times_real(Lx_3,Rx_3),Ly_3).
% 16.10/16.08 0 [] times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2))=times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2))).
% 16.10/16.08 0 [] times_times_nat(times_times_nat(Lx_2,Ly_2),times_times_nat(Rx_2,Ry_2))=times_times_nat(Lx_2,times_times_nat(Ly_2,times_times_nat(Rx_2,Ry_2))).
% 16.10/16.08 0 [] times_times_real(times_times_real(Lx_2,Ly_2),times_times_real(Rx_2,Ry_2))=times_times_real(Lx_2,times_times_real(Ly_2,times_times_real(Rx_2,Ry_2))).
% 16.10/16.08 0 [] times_times_real(times_times_real(Lx_1,Ly_1),times_times_real(Rx_1,Ry_1))=times_times_real(Rx_1,times_times_real(times_times_real(Lx_1,Ly_1),Ry_1)).
% 16.10/16.08 0 [] times_times_nat(times_times_nat(Lx_1,Ly_1),times_times_nat(Rx_1,Ry_1))=times_times_nat(Rx_1,times_times_nat(times_times_nat(Lx_1,Ly_1),Ry_1)).
% 16.10/16.08 0 [] times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1))=times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1)).
% 16.10/16.08 0 [] times_times_real(times_times_real(Lx,Ly),times_times_real(Rx,Ry))=times_times_real(times_times_real(Lx,Rx),times_times_real(Ly,Ry)).
% 16.10/16.08 0 [] times_times_nat(times_times_nat(Lx,Ly),times_times_nat(Rx,Ry))=times_times_nat(times_times_nat(Lx,Rx),times_times_nat(Ly,Ry)).
% 16.10/16.08 0 [] times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry))=times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry)).
% 16.10/16.08 0 [] -is_int(A_1)| -is_int(B)| -is_int(C_1)| -is_int(D)|minus_minus_int(A_1,B)!=minus_minus_int(C_1,D)|A_1!=B|C_1=D.
% 16.10/16.08 0 [] -is_int(A_1)| -is_int(B)| -is_int(C_1)| -is_int(D)|minus_minus_int(A_1,B)!=minus_minus_int(C_1,D)|A_1=B|C_1!=D.
% 16.10/16.08 0 [] minus_minus_real(A_1,B)!=minus_minus_real(C_1,D)|A_1!=B|C_1=D.
% 16.10/16.08 0 [] minus_minus_real(A_1,B)!=minus_minus_real(C_1,D)|A_1=B|C_1!=D.
% 16.10/16.08 0 [] minus_minus_int(A_1,B)!=minus_minus_int(C_1,D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),D)).
% 16.10/16.08 0 [] minus_minus_int(A_1,B)!=minus_minus_int(C_1,D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),D)).
% 16.10/16.08 0 [] minus_minus_real(A_1,B)!=minus_minus_real(C_1,D)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),D)).
% 16.10/16.08 0 [] minus_minus_real(A_1,B)!=minus_minus_real(C_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),D)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))|times_times_real(number267125858f_real(V_12),number267125858f_real(V_13))=number267125858f_real(times_times_int(V_12,V_13)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))|times_times_nat(number_number_of_nat(V_12),number_number_of_nat(V_13))=number_number_of_nat(times_times_int(V_12,V_13)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))|times_times_int(number_number_of_int(V_12),number_number_of_int(V_13))=number_number_of_int(times_times_int(V_12,V_13)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 16.10/16.08 0 [] times_times_int(Z,W)=times_times_int(W,Z).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z)).
% 16.10/16.08 0 [] times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1)).
% 16.10/16.08 0 [] -is_int(Z)| -is_int(W)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))|Z=W.
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 16.10/16.08 0 [] number267125858f_real(times_times_int(V_11,W_6))=times_times_real(number267125858f_real(V_11),number267125858f_real(W_6)).
% 16.10/16.08 0 [] number_number_of_int(times_times_int(V_11,W_6))=times_times_int(number_number_of_int(V_11),number_number_of_int(W_6)).
% 16.10/16.08 0 [] times_times_real(number267125858f_real(V_10),number267125858f_real(W_5))=number267125858f_real(times_times_int(V_10,W_5)).
% 16.10/16.08 0 [] times_times_int(number_number_of_int(V_10),number_number_of_int(W_5))=number_number_of_int(times_times_int(V_10,W_5)).
% 16.10/16.08 0 [] times_times_real(number267125858f_real(V_9),times_times_real(number267125858f_real(W_4),Z_5))=times_times_real(number267125858f_real(times_times_int(V_9,W_4)),Z_5).
% 16.10/16.08 0 [] times_times_int(number_number_of_int(V_9),times_times_int(number_number_of_int(W_4),Z_5))=times_times_int(number_number_of_int(times_times_int(V_9,W_4)),Z_5).
% 16.10/16.08 0 [] -is_int(Z_4)| -is_int(Z_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_4))|nat(Z_1)!=nat(Z_4)|Z_1=Z_4.
% 16.10/16.08 0 [] -is_int(Z_4)| -is_int(Z_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_4))|nat(Z_1)=nat(Z_4)|Z_1!=Z_4.
% 16.10/16.08 0 [] times_times_int(number_number_of_int(V_8),minus_minus_int(B_44,C_28))=minus_minus_int(times_times_int(number_number_of_int(V_8),B_44),times_times_int(number_number_of_int(V_8),C_28)).
% 16.10/16.08 0 [] times_times_real(number267125858f_real(V_8),minus_minus_real(B_44,C_28))=minus_minus_real(times_times_real(number267125858f_real(V_8),B_44),times_times_real(number267125858f_real(V_8),C_28)).
% 16.10/16.08 0 [] times_times_int(minus_minus_int(A_62,B_43),number_number_of_int(V_7))=minus_minus_int(times_times_int(A_62,number_number_of_int(V_7)),times_times_int(B_43,number_number_of_int(V_7))).
% 16.10/16.08 0 [] times_times_real(minus_minus_real(A_62,B_43),number267125858f_real(V_7))=minus_minus_real(times_times_real(A_62,number267125858f_real(V_7)),times_times_real(B_43,number267125858f_real(V_7))).
% 16.10/16.08 0 [] number_number_of_int(minus_minus_int(V_6,W_3))=minus_minus_int(number_number_of_int(V_6),number_number_of_int(W_3)).
% 16.10/16.08 0 [] number267125858f_real(minus_minus_int(V_6,W_3))=minus_minus_real(number267125858f_real(V_6),number267125858f_real(W_3)).
% 16.10/16.08 0 [] hAPP_nat_real(semiri132038758t_real,times_times_nat(M_4,N_10))=times_times_real(hAPP_nat_real(semiri132038758t_real,M_4),hAPP_nat_real(semiri132038758t_real,N_10)).
% 16.10/16.08 0 [] hAPP_nat_nat(semiri984289939at_nat,times_times_nat(M_4,N_10))=times_times_nat(hAPP_nat_nat(semiri984289939at_nat,M_4),hAPP_nat_nat(semiri984289939at_nat,N_10)).
% 16.10/16.08 0 [] hAPP_nat_int(semiri1621563631at_int,times_times_nat(M_4,N_10))=times_times_int(hAPP_nat_int(semiri1621563631at_int,M_4),hAPP_nat_int(semiri1621563631at_int,N_10)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.08 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.08 0 [] minus_minus_nat(minus_minus_nat(I_2,J_1),K_1)=minus_minus_nat(minus_minus_nat(I_2,K_1),J_1).
% 16.10/16.08 0 [] -hBOOL(P_1)|nat(Xa)=nat(if_int(P_1,Xa,Ya)).
% 16.10/16.08 0 [] hBOOL(P_1)|nat(Ya)=nat(if_int(P_1,Xa,Ya)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_61))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_42),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_61,B_42)),zero_zero_real)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_61),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_42))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_61,B_42)),zero_zero_real)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_42),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_61,B_42)),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_61),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_42))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_61,B_42)),zero_zero_nat)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_61))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_42),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_61,B_42)),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_61),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_42))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_61,B_42)),zero_zero_int)).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_60))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_41))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_60,B_41))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_60),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_41),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_60,B_41))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_60))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_41))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_60,B_41))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_60),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_41),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_60,B_41))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_59),B_40))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_27),D_10))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_40))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_27))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_59,C_27)),times_times_real(B_40,D_10))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_59),B_40))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_27),D_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_40))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_27))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_59,C_27)),times_times_nat(B_40,D_10))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_59),B_40))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_27),D_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_40))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_27))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_59,C_27)),times_times_int(B_40,D_10))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_58),B_39))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_26),D_9))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_58))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_26))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_58,C_26)),times_times_real(B_39,D_9))).
% 16.10/16.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_58),B_39))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_26),D_9))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_58))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_26))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_58,C_26)),times_times_nat(B_39,D_9))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_58),B_39))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_26),D_9))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_58))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_26))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_58,C_26)),times_times_int(B_39,D_9))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_38),A_57))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_25),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_25,A_57)),times_times_real(C_25,B_38))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_38),A_57))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_25),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_25,A_57)),times_times_int(C_25,B_38))).
% 16.10/16.08 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_37),A_56))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_24),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_56,C_24)),times_times_real(B_37,C_24))).
% 16.10/16.08 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_37),A_56))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_24),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_56,C_24)),times_times_int(B_37,C_24))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_55),B_36))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_23))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_23,A_55)),times_times_real(C_23,B_36))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_55),B_36))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_23))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_23,A_55)),times_times_nat(C_23,B_36))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_55),B_36))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_23))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_23,A_55)),times_times_int(C_23,B_36))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_54),B_35))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_22))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_22,A_54)),times_times_real(C_22,B_35))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_54),B_35))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_22))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_22,A_54)),times_times_nat(C_22,B_35))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_54),B_35))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_22))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_22,A_54)),times_times_int(C_22,B_35))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_53),B_34))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_21))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_53,C_21)),times_times_real(B_34,C_21))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_53),B_34))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_53,C_21)),times_times_nat(B_34,C_21))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_53),B_34))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_21))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_53,C_21)),times_times_int(B_34,C_21))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_52),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_33),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_52,B_33))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_52),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_33),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_52,B_33))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_51),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_32))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_51,B_32)),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_51),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_32))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_51,B_32)),zero_zero_nat)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_51),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_32))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_51,B_32)),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_50))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_31),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B_31,A_50)),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_50))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_31),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(B_31,A_50)),zero_zero_nat)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_50))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_31),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B_31,A_50)),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_49))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_30),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_49,B_30)),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_49))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_30),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_49,B_30)),zero_zero_nat)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_49))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_30),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_49,B_30)),zero_zero_int)).
% 16.10/16.09 0 [] -is_int(Ya)| -is_int(Xa)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|nat(Xa)!=nat(Ya)|Xa=Ya.
% 16.10/16.09 0 [] -is_int(Ya)| -is_int(Xa)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|nat(Xa)=nat(Ya)|Xa!=Ya.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(X,Y))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_48))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_29))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_48,B_29))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_48))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),times_times_nat(A_48,B_29))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_48))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_29))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_48,B_29))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] plus_plus_real(times_times_real(A_1,E_1),C_1)!=plus_plus_real(times_times_real(B,E_1),D)|plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)=D.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(A_1,E_1),C_1)=plus_plus_real(times_times_real(B,E_1),D)|plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)!=D.
% 16.10/16.09 0 [] -is_int(D)|plus_plus_int(times_times_int(A_1,E_1),C_1)!=plus_plus_int(times_times_int(B,E_1),D)|plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)=D.
% 16.10/16.09 0 [] -is_int(D)|plus_plus_int(times_times_int(A_1,E_1),C_1)=plus_plus_int(times_times_int(B,E_1),D)|plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)!=D.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D))).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))).
% 16.10/16.09 0 [] plus_plus_real(times_times_real(A_1,E_1),C_1)!=plus_plus_real(times_times_real(B,E_1),D)|C_1=plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D).
% 16.10/16.09 0 [] plus_plus_real(times_times_real(A_1,E_1),C_1)=plus_plus_real(times_times_real(B,E_1),D)|C_1!=plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D).
% 16.10/16.09 0 [] -is_int(C_1)|plus_plus_int(times_times_int(A_1,E_1),C_1)!=plus_plus_int(times_times_int(B,E_1),D)|C_1=plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D).
% 16.10/16.09 0 [] -is_int(C_1)|plus_plus_int(times_times_int(A_1,E_1),C_1)=plus_plus_int(times_times_int(B,E_1),D)|C_1!=plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D).
% 16.10/16.09 0 [] minus_minus_real(times_times_real(X_11,Y_9),times_times_real(A_47,B_28))=plus_plus_real(times_times_real(X_11,minus_minus_real(Y_9,B_28)),times_times_real(minus_minus_real(X_11,A_47),B_28)).
% 16.10/16.09 0 [] minus_minus_int(times_times_int(X_11,Y_9),times_times_int(A_47,B_28))=plus_plus_int(times_times_int(X_11,minus_minus_int(Y_9,B_28)),times_times_int(minus_minus_int(X_11,A_47),B_28)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_1,B)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_1,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_1,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,$f6(P_1)))| -is_int(X_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hBOOL(hAPP_nat_bool(P_1,nat(X_1))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,X1))|is_int($f7(P_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f7(P_1))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,X1))| -hBOOL(hAPP_nat_bool(P_1,nat($f7(P_1)))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,X1))|is_int($f8(P_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f8(P_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_nat_bool(P_1,nat($f8(P_1)))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,$f9(P_1)))| -is_int(X_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_nat_bool(P_1,nat(X_1))).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A_46,A_46))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_46,A_46))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D))).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))).
% 16.10/16.09 0 [] minus_minus_real(times_times_real(X_10,X_10),one_one_real)=times_times_real(plus_plus_real(X_10,one_one_real),minus_minus_real(X_10,one_one_real)).
% 16.10/16.09 0 [] minus_minus_int(times_times_int(X_10,X_10),one_one_int)=times_times_int(plus_plus_int(X_10,one_one_int),minus_minus_int(X_10,one_one_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_20,A_45)),times_times_real(C_20,B_27)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_20))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_45),B_27)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_20,A_45)),times_times_nat(C_20,B_27)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_20))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_45),B_27)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_20,A_45)),times_times_int(C_20,B_27)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_20))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_45),B_27)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A_44,C_19)),times_times_real(B_26,C_19)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_19))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_44),B_26)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_44,C_19)),times_times_nat(B_26,C_19)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_19))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_44),B_26)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_44,C_19)),times_times_int(B_26,C_19)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_19))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_44),B_26)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(C_18,A_43)),times_times_real(C_18,B_25)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_18))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_43),B_25)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_18,A_43)),times_times_nat(C_18,B_25)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_18))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_43),B_25)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_18,A_43)),times_times_int(C_18,B_25)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_18))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_43),B_25)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(C_17,A_42)),times_times_real(C_17,B_24)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_17))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_42),B_24)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_17,A_42)),times_times_nat(C_17,B_24)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_17))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_42),B_24)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_17,A_42)),times_times_int(C_17,B_24)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_17))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_42),B_24)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_41,C_16)),times_times_real(B_23,C_16)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_16))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_41),B_23)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_41,C_16)),times_times_nat(B_23,C_16)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_16))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_41),B_23)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_41,C_16)),times_times_int(B_23,C_16)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_16))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_41),B_23)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_40,C_15)),times_times_real(B_22,C_15)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_15))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_40),B_22)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_40,C_15)),times_times_nat(B_22,C_15)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_40),B_22)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_40,C_15)),times_times_int(B_22,C_15)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_40),B_22)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_39),B_21))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_14),D_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_39))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_14))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_39,C_14)),times_times_real(B_21,D_8))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_39),B_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_14),D_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_39))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_39,C_14)),times_times_nat(B_21,D_8))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_39),B_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_14),D_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_39))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_14))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_39,C_14)),times_times_int(B_21,D_8))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_38),B_20))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_13),D_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_38))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_13))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_38,C_13)),times_times_real(B_20,D_7))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_38),B_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_13),D_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_38))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_38,C_13)),times_times_nat(B_20,D_7))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_38),B_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_13),D_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_38))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_38,C_13)),times_times_int(B_20,D_7))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_37),B_19))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_12),D_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_37))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_37,C_12)),times_times_real(B_19,D_6))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_37),B_19))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_12),D_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_37))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_37,C_12)),times_times_nat(B_19,D_6))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_37),B_19))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_12),D_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_37))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_37,C_12)),times_times_int(B_19,D_6))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_36),B_18))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_11),D_5))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_18))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_11))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_36,C_11)),times_times_real(B_18,D_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_36),B_18))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_11),D_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_18))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_36,C_11)),times_times_nat(B_18,D_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_36),B_18))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_11),D_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_18))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_11))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_36,C_11)),times_times_int(B_18,D_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),plus_plus_real(times_times_real(X_9,X_9),times_times_real(Y_8,Y_8)))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(X_9,X_9),times_times_int(Y_8,Y_8)))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))),zero_zero_real))|Xa=zero_zero_real.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))),zero_zero_real))|Ya=zero_zero_real.
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))),zero_zero_real))|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 16.10/16.09 0 [] -is_int(Xa)| -is_int(Ya)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Xa,Xa),times_times_int(Ya,Ya))),zero_zero_int))|Xa=zero_zero_int.
% 16.10/16.09 0 [] -is_int(Xa)| -is_int(Ya)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Xa,Xa),times_times_int(Ya,Ya))),zero_zero_int))|Ya=zero_zero_int.
% 16.10/16.09 0 [] -is_int(Xa)| -is_int(Ya)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Xa,Xa),times_times_int(Ya,Ya))),zero_zero_int))|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_7),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(X_8,Y_7)),X_8)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_7),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(X_8,Y_7)),X_8)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_6),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Y_6,X_7)),X_7)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(Y_6,X_7)),X_7)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),zero_zero_int))|nat(Z)=zero_zero_nat.
% 16.10/16.09 0 [] nat(I_1)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int)).
% 16.10/16.09 0 [] nat(I_1)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_9),N_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_35))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_35),N_9)),hAPP_nat_real(power_power_real(A_35),N_8))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_9),N_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_35))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_35),N_9)),hAPP_nat_nat(power_power_nat(A_35),N_8))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_9),N_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_35))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_35),N_9)),hAPP_nat_int(power_power_int(A_35),N_8))).
% 16.10/16.09 0 [] -is_int(Z)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|hAPP_nat_int(semiri1621563631at_int,nat(Z))=Z.
% 16.10/16.09 0 [] -is_int(Z)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|hAPP_nat_int(semiri1621563631at_int,nat(Z))=zero_zero_int.
% 16.10/16.09 0 [] -is_int(Z_1)|hAPP_nat_int(semiri1621563631at_int,Ma)!=Z_1|Ma=nat(Z_1).
% 16.10/16.09 0 [] -is_int(Z_1)|hAPP_nat_int(semiri1621563631at_int,Ma)!=Z_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] -is_int(Z_1)|hAPP_nat_int(semiri1621563631at_int,Ma)=Z_1|Ma!=nat(Z_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] -is_int(Z)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|hAPP_nat_int(semiri1621563631at_int,nat(Z))=Z.
% 16.10/16.09 0 [] minus_minus_real(A_1,B)!=zero_zero_real|A_1=B.
% 16.10/16.09 0 [] minus_minus_real(A_1,B)=zero_zero_real|A_1!=B.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|minus_minus_int(A_1,B)!=zero_zero_int|A_1=B.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|minus_minus_int(A_1,B)=zero_zero_int|A_1!=B.
% 16.10/16.09 0 [] A_1!=B|minus_minus_real(A_1,B)=zero_zero_real.
% 16.10/16.09 0 [] A_1=B|minus_minus_real(A_1,B)!=zero_zero_real.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|A_1!=B|minus_minus_int(A_1,B)=zero_zero_int.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|A_1=B|minus_minus_int(A_1,B)!=zero_zero_int.
% 16.10/16.09 0 [] minus_minus_real(A_34,A_34)=zero_zero_real.
% 16.10/16.09 0 [] minus_minus_int(A_34,A_34)=zero_zero_int.
% 16.10/16.09 0 [] minus_minus_real(A_33,zero_zero_real)=A_33.
% 16.10/16.09 0 [] -is_int(A_33)|minus_minus_int(A_33,zero_zero_int)=A_33.
% 16.10/16.09 0 [] minus_minus_int(A_1,B)!=minus_minus_int(C_1,D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D)).
% 16.10/16.09 0 [] minus_minus_int(A_1,B)!=minus_minus_int(C_1,D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D)).
% 16.10/16.09 0 [] minus_minus_real(A_1,B)!=minus_minus_real(C_1,D)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D)).
% 16.10/16.09 0 [] minus_minus_real(A_1,B)!=minus_minus_real(C_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D)).
% 16.10/16.09 0 [] minus_minus_real(plus_plus_real(A_32,C_10),plus_plus_real(B_17,D_4))=plus_plus_real(minus_minus_real(A_32,B_17),minus_minus_real(C_10,D_4)).
% 16.10/16.09 0 [] minus_minus_int(plus_plus_int(A_32,C_10),plus_plus_int(B_17,D_4))=plus_plus_int(minus_minus_int(A_32,B_17),minus_minus_int(C_10,D_4)).
% 16.10/16.09 0 [] minus_minus_real(plus_plus_real(A_31,B_16),B_16)=A_31.
% 16.10/16.09 0 [] -is_int(A_31)|minus_minus_int(plus_plus_int(A_31,B_16),B_16)=A_31.
% 16.10/16.09 0 [] plus_plus_real(minus_minus_real(A_30,B_15),B_15)=A_30.
% 16.10/16.09 0 [] -is_int(A_30)|plus_plus_int(minus_minus_int(A_30,B_15),B_15)=A_30.
% 16.10/16.09 0 [] times_times_real(zero_zero_real,A_29)=zero_zero_real.
% 16.10/16.09 0 [] times_times_nat(zero_zero_nat,A_29)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_int(zero_zero_int,A_29)=zero_zero_int.
% 16.10/16.09 0 [] times_times_real(A_28,zero_zero_real)=zero_zero_real.
% 16.10/16.09 0 [] times_times_nat(A_28,zero_zero_nat)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_int(A_28,zero_zero_int)=zero_zero_int.
% 16.10/16.09 0 [] times_times_real(A_1,B)!=zero_zero_real|A_1=zero_zero_real|B=zero_zero_real.
% 16.10/16.09 0 [] times_times_real(A_1,B)=zero_zero_real|A_1!=zero_zero_real.
% 16.10/16.09 0 [] times_times_real(A_1,B)=zero_zero_real|B!=zero_zero_real.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|times_times_int(A_1,B)!=zero_zero_int|A_1=zero_zero_int|B=zero_zero_int.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|times_times_int(A_1,B)=zero_zero_int|A_1!=zero_zero_int.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|times_times_int(A_1,B)=zero_zero_int|B!=zero_zero_int.
% 16.10/16.09 0 [] A_27=zero_zero_real|B_14=zero_zero_real|times_times_real(A_27,B_14)!=zero_zero_real.
% 16.10/16.09 0 [] A_27=zero_zero_nat|B_14=zero_zero_nat|times_times_nat(A_27,B_14)!=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(B_14)| -is_int(A_27)|A_27=zero_zero_int|B_14=zero_zero_int|times_times_int(A_27,B_14)!=zero_zero_int.
% 16.10/16.09 0 [] times_times_real(A_26,B_13)!=zero_zero_real|A_26=zero_zero_real|B_13=zero_zero_real.
% 16.10/16.09 0 [] times_times_nat(A_26,B_13)!=zero_zero_nat|A_26=zero_zero_nat|B_13=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(A_26)| -is_int(B_13)|times_times_int(A_26,B_13)!=zero_zero_int|A_26=zero_zero_int|B_13=zero_zero_int.
% 16.10/16.09 0 [] times_times_real(A_25,zero_zero_real)=zero_zero_real.
% 16.10/16.09 0 [] times_times_nat(A_25,zero_zero_nat)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_int(A_25,zero_zero_int)=zero_zero_int.
% 16.10/16.09 0 [] times_times_real(zero_zero_real,A_24)=zero_zero_real.
% 16.10/16.09 0 [] times_times_nat(zero_zero_nat,A_24)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_int(zero_zero_int,A_24)=zero_zero_int.
% 16.10/16.09 0 [] minus_minus_nat(M,N)!=zero_zero_nat|minus_minus_nat(N,M)!=zero_zero_nat|M=N.
% 16.10/16.09 0 [] minus_minus_nat(M,M)=zero_zero_nat.
% 16.10/16.09 0 [] minus_minus_nat(M,zero_zero_nat)=M.
% 16.10/16.09 0 [] minus_minus_nat(zero_zero_nat,N)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_real(plus_plus_real(A_23,B_12),C_9)=plus_plus_real(times_times_real(A_23,C_9),times_times_real(B_12,C_9)).
% 16.10/16.09 0 [] times_times_nat(plus_plus_nat(A_23,B_12),C_9)=plus_plus_nat(times_times_nat(A_23,C_9),times_times_nat(B_12,C_9)).
% 16.10/16.09 0 [] times_times_int(plus_plus_int(A_23,B_12),C_9)=plus_plus_int(times_times_int(A_23,C_9),times_times_int(B_12,C_9)).
% 16.10/16.09 0 [] plus_plus_real(times_times_real(A_22,E),plus_plus_real(times_times_real(B_11,E),C_8))=plus_plus_real(times_times_real(plus_plus_real(A_22,B_11),E),C_8).
% 16.10/16.09 0 [] plus_plus_nat(times_times_nat(A_22,E),plus_plus_nat(times_times_nat(B_11,E),C_8))=plus_plus_nat(times_times_nat(plus_plus_nat(A_22,B_11),E),C_8).
% 16.10/16.09 0 [] plus_plus_int(times_times_int(A_22,E),plus_plus_int(times_times_int(B_11,E),C_8))=plus_plus_int(times_times_int(plus_plus_int(A_22,B_11),E),C_8).
% 16.10/16.09 0 [] plus_plus_real(times_times_real(Wa,Ya),times_times_real(Xa,Z_1))!=plus_plus_real(times_times_real(Wa,Z_1),times_times_real(Xa,Ya))|Wa=Xa|Ya=Z_1.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(Wa,Ya),times_times_real(Xa,Z_1))=plus_plus_real(times_times_real(Wa,Z_1),times_times_real(Xa,Ya))|Wa!=Xa.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(Wa,Ya),times_times_real(Xa,Z_1))=plus_plus_real(times_times_real(Wa,Z_1),times_times_real(Xa,Ya))|Ya!=Z_1.
% 16.10/16.09 0 [] plus_plus_nat(times_times_nat(Wa,Ya),times_times_nat(Xa,Z_1))!=plus_plus_nat(times_times_nat(Wa,Z_1),times_times_nat(Xa,Ya))|Wa=Xa|Ya=Z_1.
% 16.10/16.09 0 [] plus_plus_nat(times_times_nat(Wa,Ya),times_times_nat(Xa,Z_1))=plus_plus_nat(times_times_nat(Wa,Z_1),times_times_nat(Xa,Ya))|Wa!=Xa.
% 16.10/16.09 0 [] plus_plus_nat(times_times_nat(Wa,Ya),times_times_nat(Xa,Z_1))=plus_plus_nat(times_times_nat(Wa,Z_1),times_times_nat(Xa,Ya))|Ya!=Z_1.
% 16.10/16.09 0 [] -is_int(Wa)| -is_int(Ya)| -is_int(Xa)| -is_int(Z_1)|plus_plus_int(times_times_int(Wa,Ya),times_times_int(Xa,Z_1))!=plus_plus_int(times_times_int(Wa,Z_1),times_times_int(Xa,Ya))|Wa=Xa|Ya=Z_1.
% 16.10/16.09 0 [] -is_int(Wa)| -is_int(Ya)| -is_int(Xa)| -is_int(Z_1)|plus_plus_int(times_times_int(Wa,Ya),times_times_int(Xa,Z_1))=plus_plus_int(times_times_int(Wa,Z_1),times_times_int(Xa,Ya))|Wa!=Xa.
% 16.10/16.09 0 [] -is_int(Wa)| -is_int(Ya)| -is_int(Xa)| -is_int(Z_1)|plus_plus_int(times_times_int(Wa,Ya),times_times_int(Xa,Z_1))=plus_plus_int(times_times_int(Wa,Z_1),times_times_int(Xa,Ya))|Ya!=Z_1.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(A_21,M_3),times_times_real(B_10,M_3))=times_times_real(plus_plus_real(A_21,B_10),M_3).
% 16.10/16.09 0 [] plus_plus_nat(times_times_nat(A_21,M_3),times_times_nat(B_10,M_3))=times_times_nat(plus_plus_nat(A_21,B_10),M_3).
% 16.10/16.09 0 [] plus_plus_int(times_times_int(A_21,M_3),times_times_int(B_10,M_3))=times_times_int(plus_plus_int(A_21,B_10),M_3).
% 16.10/16.09 0 [] times_times_real(plus_plus_real(A_20,B_9),C_7)=plus_plus_real(times_times_real(A_20,C_7),times_times_real(B_9,C_7)).
% 16.10/16.09 0 [] times_times_nat(plus_plus_nat(A_20,B_9),C_7)=plus_plus_nat(times_times_nat(A_20,C_7),times_times_nat(B_9,C_7)).
% 16.10/16.09 0 [] times_times_int(plus_plus_int(A_20,B_9),C_7)=plus_plus_int(times_times_int(A_20,C_7),times_times_int(B_9,C_7)).
% 16.10/16.09 0 [] A_1=B|C_1=D|plus_plus_real(times_times_real(A_1,C_1),times_times_real(B,D))!=plus_plus_real(times_times_real(A_1,D),times_times_real(B,C_1)).
% 16.10/16.09 0 [] A_1!=B|plus_plus_real(times_times_real(A_1,C_1),times_times_real(B,D))=plus_plus_real(times_times_real(A_1,D),times_times_real(B,C_1)).
% 16.10/16.09 0 [] C_1!=D|plus_plus_real(times_times_real(A_1,C_1),times_times_real(B,D))=plus_plus_real(times_times_real(A_1,D),times_times_real(B,C_1)).
% 16.10/16.09 0 [] A_1=B|C_1=D|plus_plus_nat(times_times_nat(A_1,C_1),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A_1,D),times_times_nat(B,C_1)).
% 16.10/16.09 0 [] A_1!=B|plus_plus_nat(times_times_nat(A_1,C_1),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A_1,D),times_times_nat(B,C_1)).
% 16.10/16.09 0 [] C_1!=D|plus_plus_nat(times_times_nat(A_1,C_1),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A_1,D),times_times_nat(B,C_1)).
% 16.10/16.09 0 [] -is_int(C_1)| -is_int(D)| -is_int(A_1)| -is_int(B)|A_1=B|C_1=D|plus_plus_int(times_times_int(A_1,C_1),times_times_int(B,D))!=plus_plus_int(times_times_int(A_1,D),times_times_int(B,C_1)).
% 16.10/16.09 0 [] -is_int(C_1)| -is_int(D)| -is_int(A_1)| -is_int(B)|A_1!=B|plus_plus_int(times_times_int(A_1,C_1),times_times_int(B,D))=plus_plus_int(times_times_int(A_1,D),times_times_int(B,C_1)).
% 16.10/16.09 0 [] -is_int(C_1)| -is_int(D)| -is_int(A_1)| -is_int(B)|C_1!=D|plus_plus_int(times_times_int(A_1,C_1),times_times_int(B,D))=plus_plus_int(times_times_int(A_1,D),times_times_int(B,C_1)).
% 16.10/16.09 0 [] times_times_real(X_6,plus_plus_real(Y_5,Z_3))=plus_plus_real(times_times_real(X_6,Y_5),times_times_real(X_6,Z_3)).
% 16.10/16.09 0 [] times_times_nat(X_6,plus_plus_nat(Y_5,Z_3))=plus_plus_nat(times_times_nat(X_6,Y_5),times_times_nat(X_6,Z_3)).
% 16.10/16.09 0 [] times_times_int(X_6,plus_plus_int(Y_5,Z_3))=plus_plus_int(times_times_int(X_6,Y_5),times_times_int(X_6,Z_3)).
% 16.10/16.09 0 [] nat(hAPP_nat_int(semiri1621563631at_int,N))=N.
% 16.10/16.09 0 [] times_times_real(A_19,one_one_real)=A_19.
% 16.10/16.09 0 [] times_times_nat(A_19,one_one_nat)=A_19.
% 16.10/16.09 0 [] -is_int(A_19)|times_times_int(A_19,one_one_int)=A_19.
% 16.10/16.09 0 [] times_times_real(A_18,one_one_real)=A_18.
% 16.10/16.09 0 [] times_times_nat(A_18,one_one_nat)=A_18.
% 16.10/16.09 0 [] -is_int(A_18)|times_times_int(A_18,one_one_int)=A_18.
% 16.10/16.09 0 [] times_times_real(A_17,one_one_real)=A_17.
% 16.10/16.09 0 [] times_times_nat(A_17,one_one_nat)=A_17.
% 16.10/16.09 0 [] -is_int(A_17)|times_times_int(A_17,one_one_int)=A_17.
% 16.10/16.09 0 [] times_times_real(one_one_real,A_16)=A_16.
% 16.10/16.09 0 [] times_times_nat(one_one_nat,A_16)=A_16.
% 16.10/16.09 0 [] -is_int(A_16)|times_times_int(one_one_int,A_16)=A_16.
% 16.10/16.09 0 [] times_times_real(one_one_real,A_15)=A_15.
% 16.10/16.09 0 [] times_times_nat(one_one_nat,A_15)=A_15.
% 16.10/16.09 0 [] -is_int(A_15)|times_times_int(one_one_int,A_15)=A_15.
% 16.10/16.09 0 [] times_times_real(one_one_real,A_14)=A_14.
% 16.10/16.09 0 [] times_times_nat(one_one_nat,A_14)=A_14.
% 16.10/16.09 0 [] -is_int(A_14)|times_times_int(one_one_int,A_14)=A_14.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_6,A_13)),plus_plus_real(C_6,B_8)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_13),B_8)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_6,A_13)),plus_plus_nat(C_6,B_8)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_13),B_8)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_6,A_13)),plus_plus_int(C_6,B_8)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_13),B_8)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_12,C_5)),plus_plus_real(B_7,C_5)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_12),B_7)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_12,C_5)),plus_plus_nat(B_7,C_5)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_12),B_7)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_12,C_5)),plus_plus_int(B_7,C_5)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_12),B_7)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_11),B_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_4),D_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_11,C_4)),plus_plus_real(B_6,D_3))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_11),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_4),D_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_11,C_4)),plus_plus_nat(B_6,D_3))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_11),B_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_4),D_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_11,C_4)),plus_plus_int(B_6,D_3))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_10),B_5))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_3,A_10)),plus_plus_real(C_3,B_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_10),B_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_3,A_10)),plus_plus_nat(C_3,B_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_10),B_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_3,A_10)),plus_plus_int(C_3,B_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_9),B_4))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_9,C_2)),plus_plus_real(B_4,C_2))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),B_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_9,C_2)),plus_plus_nat(B_4,C_2))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),B_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_9,C_2)),plus_plus_int(B_4,C_2))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(J_1,N)),K_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))).
% 16.10/16.09 0 [] times_times_real(hAPP_nat_real(power_power_real(A_8),N_7),A_8)=times_times_real(A_8,hAPP_nat_real(power_power_real(A_8),N_7)).
% 16.10/16.09 0 [] times_times_nat(hAPP_nat_nat(power_power_nat(A_8),N_7),A_8)=times_times_nat(A_8,hAPP_nat_nat(power_power_nat(A_8),N_7)).
% 16.10/16.09 0 [] times_times_int(hAPP_nat_int(power_power_int(A_8),N_7),A_8)=times_times_int(A_8,hAPP_nat_int(power_power_int(A_8),N_7)).
% 16.10/16.09 0 [] hAPP_nat_real(power_power_real(times_times_real(A_7,B_3)),N_6)=times_times_real(hAPP_nat_real(power_power_real(A_7),N_6),hAPP_nat_real(power_power_real(B_3),N_6)).
% 16.10/16.09 0 [] hAPP_nat_nat(power_power_nat(times_times_nat(A_7,B_3)),N_6)=times_times_nat(hAPP_nat_nat(power_power_nat(A_7),N_6),hAPP_nat_nat(power_power_nat(B_3),N_6)).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(times_times_int(A_7,B_3)),N_6)=times_times_int(hAPP_nat_int(power_power_int(A_7),N_6),hAPP_nat_int(power_power_int(B_3),N_6)).
% 16.10/16.09 0 [] hAPP_nat_real(power_power_real(times_times_real(X_5,Y_4)),Q_2)=times_times_real(hAPP_nat_real(power_power_real(X_5),Q_2),hAPP_nat_real(power_power_real(Y_4),Q_2)).
% 16.10/16.09 0 [] hAPP_nat_nat(power_power_nat(times_times_nat(X_5,Y_4)),Q_2)=times_times_nat(hAPP_nat_nat(power_power_nat(X_5),Q_2),hAPP_nat_nat(power_power_nat(Y_4),Q_2)).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(times_times_int(X_5,Y_4)),Q_2)=times_times_int(hAPP_nat_int(power_power_int(X_5),Q_2),hAPP_nat_int(power_power_int(Y_4),Q_2)).
% 16.10/16.09 0 [] minus_minus_nat(plus_plus_nat(M,N),N)=M.
% 16.10/16.09 0 [] minus_minus_nat(plus_plus_nat(N,M),N)=M.
% 16.10/16.09 0 [] minus_minus_nat(minus_minus_nat(I_2,J_1),K_1)=minus_minus_nat(I_2,plus_plus_nat(J_1,K_1)).
% 16.10/16.09 0 [] minus_minus_nat(plus_plus_nat(K_1,M),plus_plus_nat(K_1,N))=minus_minus_nat(M,N).
% 16.10/16.09 0 [] minus_minus_nat(plus_plus_nat(M,K_1),plus_plus_nat(N,K_1))=minus_minus_nat(M,N).
% 16.10/16.09 0 [] times_times_int(pls,W)=pls.
% 16.10/16.09 0 [] times_times_int(bit0(K_1),L)=bit0(times_times_int(K_1,L)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 16.10/16.09 0 [] -is_int(Z)|times_times_int(one_one_int,Z)=Z.
% 16.10/16.09 0 [] -is_int(Z)|times_times_int(Z,one_one_int)=Z.
% 16.10/16.09 0 [] -is_int(Z_1)| -is_int(Wa)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),Wa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),Wa)).
% 16.10/16.09 0 [] -is_int(Z_1)| -is_int(Wa)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),Wa))|Z_1!=Wa.
% 16.10/16.09 0 [] -is_int(Z_1)| -is_int(Wa)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),Wa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),Wa))|Z_1=Wa.
% 16.10/16.09 0 [] times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2)).
% 16.10/16.09 0 [] times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(K_1,I_2)),plus_plus_int(K_1,J_1))).
% 16.10/16.09 0 [] times_times_int(number_number_of_int(V_1),number_number_of_int(W))=number_number_of_int(times_times_int(V_1,W)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K)),number_number_of_int(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K)),number_number_of_int(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_4),A_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_3),A_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_5))|plus_plus_real(U_3,V_5)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(U_3,X_4),times_times_real(V_5,Y_3))),A_6)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_4),A_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),A_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_5))|plus_plus_int(U_3,V_5)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(U_3,X_4),times_times_int(V_5,Y_3))),A_6)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Xa)),nat(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Xa)),nat(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_5),N_4))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_5))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_5),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_5),N_4)),hAPP_nat_real(power_power_real(A_5),N_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_5),N_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_5),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_5),N_4)),hAPP_nat_nat(power_power_nat(A_5),N_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_5),N_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_5),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_5),N_4)),hAPP_nat_int(power_power_int(A_5),N_5))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_4))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_4),M_2)),hAPP_nat_real(power_power_real(A_4),N_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_3)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_4),M_2)),hAPP_nat_nat(power_power_nat(A_4),N_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_3)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_4),M_2)),hAPP_nat_int(power_power_int(A_4),N_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_3)).
% 16.10/16.09 0 [] -is_int(Wa)|Ma!=nat(Wa)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|Wa=hAPP_nat_int(semiri1621563631at_int,Ma).
% 16.10/16.09 0 [] -is_int(Wa)|Ma!=nat(Wa)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|Ma=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(Wa)|Ma=nat(Wa)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(Wa)|Ma=nat(Wa)|Wa!=hAPP_nat_int(semiri1621563631at_int,Ma)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa)).
% 16.10/16.09 0 [] -is_int(Wa)|Ma=nat(Wa)|Wa!=hAPP_nat_int(semiri1621563631at_int,Ma)|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(Wa)|nat(Wa)!=Ma| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|Wa=hAPP_nat_int(semiri1621563631at_int,Ma).
% 16.10/16.09 0 [] -is_int(Wa)|nat(Wa)!=Ma|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|Ma=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(Wa)|nat(Wa)=Ma|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] -is_int(Wa)|nat(Wa)=Ma|Wa!=hAPP_nat_int(semiri1621563631at_int,Ma)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa)).
% 16.10/16.09 0 [] -is_int(Wa)|nat(Wa)=Ma|Wa!=hAPP_nat_int(semiri1621563631at_int,Ma)|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|plus_plus_nat(nat(X),nat(Y))=nat(plus_plus_int(X,Y)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))|nat(plus_plus_int(Z,Z_2))=plus_plus_nat(nat(Z),nat(Z_2)).
% 16.10/16.09 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)!=number_number_of_int(Va)|Ma=nat(number_number_of_int(Va)).
% 16.10/16.09 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)!=number_number_of_int(Va)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Va))).
% 16.10/16.09 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)=number_number_of_int(Va)|Ma!=nat(number_number_of_int(Va))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Va))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))|hAPP_nat_nat(power_power_nat(nat(X)),N)=nat(hAPP_nat_int(power_power_int(X),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|nat(hAPP_nat_int(power_power_int(Z),N))=hAPP_nat_nat(power_power_nat(nat(Z)),N).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_3),A_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),A_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_4))|plus_plus_real(U_2,V_4)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(U_2,X_3),times_times_real(V_4,Y_2))),A_3)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),A_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),A_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_4))|plus_plus_int(U_2,V_4)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(U_2,X_3),times_times_int(V_4,Y_2))),A_3)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),Ma))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_nat_int(semiri1621563631at_int,Ma))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),Ma))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_nat_int(semiri1621563631at_int,Ma))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|times_times_real(hAPP_nat_real(power_power_real(X_2),minus_minus_nat(N_2,one_one_nat)),X_2)=hAPP_nat_real(power_power_real(X_2),N_2).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|times_times_nat(hAPP_nat_nat(power_power_nat(X_2),minus_minus_nat(N_2,one_one_nat)),X_2)=hAPP_nat_nat(power_power_nat(X_2),N_2).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|times_times_int(hAPP_nat_int(power_power_int(X_2),minus_minus_nat(N_2,one_one_nat)),X_2)=hAPP_nat_int(power_power_int(X_2),N_2).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,minus_minus_real(A_1,B)),zero_zero_real)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,minus_minus_real(A_1,B)),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A_1,B)),zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A_1,B)),zero_zero_int)).
% 16.10/16.09 0 [] zero_zero_nat=nat(zero_zero_int).
% 16.10/16.09 0 [] nat(zero_zero_int)=zero_zero_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_2,A_2)),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_2,A_2)),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A_1)).
% 16.10/16.09 0 [] nat(number_number_of_int(W))=number_number_of_nat(W).
% 16.10/16.09 0 [] number_number_of_nat(V_1)=nat(number_number_of_int(V_1)).
% 16.10/16.09 0 [] one_one_nat=nat(one_one_int).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(Na,Ma)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(Na,Ma)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(M,N)),M)).
% 16.10/16.09 0 [] minus_minus_nat(N,plus_plus_nat(N,M))=zero_zero_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K)),J)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K)),J)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|plus_plus_nat(N,minus_minus_nat(M,N))=M.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),pls)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A,B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(K_1,I_2)),times_times_int(K_1,J_1))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(X,Y))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(W_2,Z_2)),plus_plus_int(W,Z))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))).
% 16.10/16.09 0 [] -is_int(X_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f10(P_1)))).
% 16.10/16.09 0 [] is_int($f11(P_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X2))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f11(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X2))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(P_1,$f11(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X2))).
% 16.10/16.09 0 [] is_int($f12(P_1))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f12(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(P_1,$f12(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))).
% 16.10/16.09 0 [] -is_int(X3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X3))|hBOOL(hAPP_int_bool(P_1,X3))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f13(P_1)))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(X),N))).
% 16.10/16.09 0 [] -is_int(Z_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1))|Z_1=plus_plus_int(Wa,hAPP_nat_int(semiri1621563631at_int,$f14(Wa,Z_1))).
% 16.10/16.09 0 [] -is_int(Z_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1))|Z_1!=plus_plus_int(Wa,hAPP_nat_int(semiri1621563631at_int,N_1)).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(X),plus_plus_nat(Y,Z))=times_times_int(hAPP_nat_int(power_power_int(X),Y),hAPP_nat_int(power_power_int(X),Z)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))|A_1!=plus_plus_nat(B,D_2)|hBOOL(hAPP_nat_bool(P_1,D_2)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))|A_1=plus_plus_nat(B,$f15(P_1,A_1,B)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))| -hBOOL(hAPP_nat_bool(P_1,$f15(P_1,A_1,B))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|A_1=plus_plus_nat(B,$f15(P_1,A_1,B)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f15(P_1,A_1,B))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))|A_1!=plus_plus_nat(B,D_2)|hBOOL(hAPP_nat_bool(P_1,D_2)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))|A_1=plus_plus_nat(B,$f16(P_1,A_1,B)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))| -hBOOL(hAPP_nat_bool(P_1,$f16(P_1,A_1,B))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|A_1=plus_plus_nat(B,$f16(P_1,A_1,B)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f16(P_1,A_1,B))).
% 16.10/16.09 0 [] zero_zero_nat!=number_number_of_nat(Va)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 16.10/16.09 0 [] zero_zero_nat=number_number_of_nat(Va)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 16.10/16.09 0 [] number_number_of_nat(Va)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 16.10/16.09 0 [] number_number_of_nat(Va)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 16.10/16.09 0 [] times_times_int(bit1(K_1),L)=plus_plus_int(bit0(times_times_int(K_1,L)),L).
% 16.10/16.09 0 [] -is_int(Na)| -is_int(Ma)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))|times_times_int(Ma,Na)!=one_one_int|Ma=one_one_int.
% 16.10/16.09 0 [] -is_int(Na)| -is_int(Ma)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))|times_times_int(Ma,Na)!=one_one_int|Na=one_one_int.
% 16.10/16.09 0 [] -is_int(Na)| -is_int(Ma)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))|times_times_int(Ma,Na)=one_one_int|Ma!=one_one_int|Na!=one_one_int.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))|Na=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))|Na!=zero_zero_nat.
% 16.10/16.09 0 [] succ(pls)=bit1(pls).
% 16.10/16.09 0 [] succ(bit0(K_1))=bit1(K_1).
% 16.10/16.09 0 [] succ(bit1(K_1))=bit0(succ(K_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(Wa,one_one_int)),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(Wa,one_one_int)),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W,one_one_int)),Z)).
% 16.10/16.09 0 [] succ(K_1)=plus_plus_int(K_1,one_one_int).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] number_number_of_nat(bit1(bit1(pls)))=nat(number_number_of_int(bit1(bit1(pls)))).
% 16.10/16.09 0 [] -is_int(I_1)| -hBOOL(hAPP_nat_bool(P_1,nat(I_1)))|I_1!=hAPP_nat_int(semiri1621563631at_int,N_1)|hBOOL(hAPP_nat_bool(P_1,N_1)).
% 16.10/16.09 0 [] -is_int(I_1)| -hBOOL(hAPP_nat_bool(P_1,nat(I_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 16.10/16.09 0 [] -is_int(I_1)|hBOOL(hAPP_nat_bool(P_1,nat(I_1)))|I_1=hAPP_nat_int(semiri1621563631at_int,$f17(P_1,I_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int)).
% 16.10/16.09 0 [] -is_int(I_1)|hBOOL(hAPP_nat_bool(P_1,nat(I_1)))|I_1=hAPP_nat_int(semiri1621563631at_int,$f17(P_1,I_1))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 16.10/16.09 0 [] -is_int(I_1)|hBOOL(hAPP_nat_bool(P_1,nat(I_1)))| -hBOOL(hAPP_nat_bool(P_1,$f17(P_1,I_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int)).
% 16.10/16.09 0 [] -is_int(I_1)|hBOOL(hAPP_nat_bool(P_1,nat(I_1)))| -hBOOL(hAPP_nat_bool(P_1,$f17(P_1,I_1)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,Z))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(hAPP_nat_int(semiri1621563631at_int,K_1),I_2)),times_times_int(hAPP_nat_int(semiri1621563631at_int,K_1),J_1))).
% 16.10/16.09 0 [] plus_plus_int(bit1(K_1),bit1(L))=bit0(plus_plus_int(K_1,succ(L))).
% 16.10/16.09 0 [] number_number_of_nat(bit0(bit1(pls)))=nat(number_number_of_int(bit0(bit1(pls)))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))).
% 16.10/16.09 0 [] times_times_int(A,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))))=hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))))).
% 16.10/16.09 0 [] -is_int(X)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),number_number_of_int(bit0(bit1(pls)))))|X=zero_zero_int|X=one_one_int.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_2))|hAPP_nat_int(power_power_int(A),nat(P_2))=times_times_int(A,hAPP_nat_int(power_power_int(A),minus_minus_nat(nat(P_2),one_one_nat))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|A!=plus_plus_int(R_1,times_times_int(A,Q))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),one_one_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|A!=plus_plus_int(R_1,times_times_int(A,Q))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_2,Q_1),R_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_2,Q_1),R_2)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,zero_zero_nat))))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))).
% 16.10/16.09 0 [] is_int($c2).
% 16.10/16.09 0 [] is_int($c1).
% 16.10/16.09 0 [] plus_plus_int(hAPP_nat_int(power_power_int($c2),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int($c1),number_number_of_nat(bit0(bit1(pls)))))=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))).
% 16.10/16.09 0 [] plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] t!=one_one_int|is_int($c4).
% 16.10/16.09 0 [] t!=one_one_int|is_int($c3).
% 16.10/16.09 0 [] t!=one_one_int|plus_plus_int(hAPP_nat_int(power_power_int($c4),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int($c3),number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,M))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,times_times_nat(M,M)))).
% 16.10/16.09 0 [] times_times_nat(M,N)=times_times_nat(N,M).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 16.10/16.09 0 [] times_times_nat(times_times_nat(M,N),K_1)=times_times_nat(M,times_times_nat(N,K_1)).
% 16.10/16.09 0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,K_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K_1,I_2)),times_times_nat(K_1,J_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|M=N.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,L))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(Xa,Ya)),zero_zero_real)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(Xa,Ya)),zero_zero_real)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Z_1,Xa)),times_times_real(Z_1,Ya)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(Z_1,Xa)),times_times_real(Z_1,Ya)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|minus_minus_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(M,N)).
% 16.10/16.09 0 [] -is_int(K_1)|minus_minus_int(K_1,pls)=K_1.
% 16.10/16.09 0 [] minus_minus_int(bit0(K_1),bit0(L))=bit0(minus_minus_int(K_1,L)).
% 16.10/16.09 0 [] times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W)).
% 16.10/16.09 0 [] times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2)).
% 16.10/16.09 0 [] times_times_nat(zero_zero_nat,N)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(M,zero_zero_nat)=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,Na)!=zero_zero_nat|Ma=zero_zero_nat|Na=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,Na)=zero_zero_nat|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,Na)=zero_zero_nat|Na!=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(K,Ma)!=times_times_nat(K,Na)|Ma=Na|K=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(K,Ma)=times_times_nat(K,Na)|Ma!=Na.
% 16.10/16.09 0 [] times_times_nat(K,Ma)=times_times_nat(K,Na)|K!=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,K)!=times_times_nat(Na,K)|Ma=Na|K=zero_zero_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,K)=times_times_nat(Na,K)|Ma!=Na.
% 16.10/16.09 0 [] times_times_nat(Ma,K)=times_times_nat(Na,K)|K!=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na!=zero_zero_nat.
% 16.10/16.09 0 [] C_1=zero_zero_real|times_times_real(C_1,A_1)!=times_times_real(C_1,B)|A_1=B.
% 16.10/16.09 0 [] C_1=zero_zero_real|times_times_real(C_1,A_1)=times_times_real(C_1,B)|A_1!=B.
% 16.10/16.09 0 [] C_1=zero_zero_real|times_times_real(A_1,C_1)!=times_times_real(B,C_1)|A_1=B.
% 16.10/16.09 0 [] C_1=zero_zero_real|times_times_real(A_1,C_1)=times_times_real(B,C_1)|A_1!=B.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Ma!=Na.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma!=Na.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Ma=Na.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa!=Ya.
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|Xa=Ya.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa=Ya.
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|Xa!=Ya.
% 16.10/16.09 0 [] times_times_nat(plus_plus_nat(M,N),K_1)=plus_plus_nat(times_times_nat(M,K_1),times_times_nat(N,K_1)).
% 16.10/16.09 0 [] times_times_nat(K_1,plus_plus_nat(M,N))=plus_plus_nat(times_times_nat(K_1,M),times_times_nat(K_1,N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(M,K_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,L))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,K_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),plus_plus_nat(M,J_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),plus_plus_nat(J_1,M))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Na=plus_plus_nat(Ma,$f18(Ma,Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Na!=plus_plus_nat(Ma,K_2).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),plus_plus_nat(N,M))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),plus_plus_nat(M,N))).
% 16.10/16.09 0 [] times_times_nat(Na,Ma)!=one_one_nat|Na=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(Na,Ma)!=one_one_nat|Ma=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(Na,Ma)=one_one_nat|Na!=one_one_nat|Ma!=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,Na)!=one_one_nat|Ma=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,Na)!=one_one_nat|Na=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(Ma,Na)=one_one_nat|Ma!=one_one_nat|Na!=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(N,one_one_nat)=N.
% 16.10/16.09 0 [] one_one_nat!=times_times_nat(Ma,Na)|Ma=one_one_nat.
% 16.10/16.09 0 [] one_one_nat!=times_times_nat(Ma,Na)|Na=one_one_nat.
% 16.10/16.09 0 [] one_one_nat=times_times_nat(Ma,Na)|Ma!=one_one_nat|Na!=one_one_nat.
% 16.10/16.09 0 [] times_times_nat(one_one_nat,N)=N.
% 16.10/16.09 0 [] times_times_nat(minus_minus_nat(M,N),K_1)=minus_minus_nat(times_times_nat(M,K_1),times_times_nat(N,K_1)).
% 16.10/16.09 0 [] times_times_nat(K_1,minus_minus_nat(M,N))=minus_minus_nat(times_times_nat(K_1,M),times_times_nat(K_1,N)).
% 16.10/16.09 0 [] times_times_real(one_one_real,Z)=Z.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))|minus_minus_nat(minus_minus_nat(M,K_1),minus_minus_nat(N,K_1))=minus_minus_nat(M,N).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|minus_minus_nat(Ma,K)!=minus_minus_nat(Na,K)|Ma=Na.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|minus_minus_nat(Ma,K)=minus_minus_nat(Na,K)|Ma!=Na.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))|minus_minus_nat(N,minus_minus_nat(N,I_2))=I_2.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,L)),minus_minus_nat(N,L))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,N)),M)).
% 16.10/16.09 0 [] times_times_real(plus_plus_real(Z1,Z2),W)=plus_plus_real(times_times_real(Z1,W),times_times_real(Z2,W)).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),Y)),Z)=hAPP_nat_int(power_power_int(X),times_times_nat(Y,Z)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(Z,X)),plus_plus_real(Z,Y))).
% 16.10/16.09 0 [] minus_minus_int(bit1(K_1),bit1(L))=bit0(minus_minus_int(K_1,L)).
% 16.10/16.09 0 [] minus_minus_int(bit1(K_1),bit0(L))=bit1(minus_minus_int(K_1,L)).
% 16.10/16.09 0 [] minus_minus_int(pls,bit0(L))=bit0(minus_minus_int(pls,L)).
% 16.10/16.09 0 [] -is_int(X)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),A))|X=minus_minus_int(A,one_one_int)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),minus_minus_int(A,one_one_int))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K,L_1)),zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K,L_1)),zero_zero_int)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,I_2)),times_times_nat(K_1,J_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,K_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(Ma,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(Ma,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(Ma,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(Xa,Xa)))|Xa=zero_zero_real.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(Xa,Xa)))|Xa!=zero_zero_real.
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Z,X)),times_times_real(Z,Y))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(X,Y))).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)).
% 16.10/16.09 0 [] M!=times_times_nat(M,N)|N=one_one_nat|M=zero_zero_nat.
% 16.10/16.09 0 [] minus_minus_nat(Ma,Na)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] minus_minus_nat(Ma,Na)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|minus_minus_nat(M,N)=zero_zero_nat.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))!=zero_zero_real|Xa=zero_zero_real.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))!=zero_zero_real|Ya=zero_zero_real.
% 16.10/16.09 0 [] plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))=zero_zero_real|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(A,C)),minus_minus_nat(B_1,C))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.09 0 [] times_times_int(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,times_times_nat(X,Y)).
% 16.10/16.09 0 [] times_times_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,times_times_nat(M,N)).
% 16.10/16.09 0 [] hAPP_nat_int(semiri1621563631at_int,times_times_nat(M,N))=times_times_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))|minus_minus_nat(I_2,minus_minus_nat(J_1,K_1))=minus_minus_nat(plus_plus_nat(I_2,K_1),J_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(J,K)),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),plus_plus_nat(I_1,K))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(J,K)),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),plus_plus_nat(I_1,K))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),minus_minus_nat(plus_plus_nat(N,M),K_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|plus_plus_nat(N,minus_minus_nat(M,N))=M.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))|plus_plus_nat(I_2,minus_minus_nat(J_1,K_1))=minus_minus_nat(plus_plus_nat(I_2,J_1),K_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),minus_minus_nat(J,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_1,K)),J)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),minus_minus_nat(J,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(I_1,K)),J)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|plus_plus_nat(minus_minus_nat(M,N),N)=M.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|minus_minus_nat(J,I_1)!=K|J=plus_plus_nat(K,I_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|minus_minus_nat(J,I_1)=K|J!=plus_plus_nat(K,I_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))|minus_minus_nat(plus_plus_nat(I_2,J_1),K_1)=plus_plus_nat(I_2,minus_minus_nat(J_1,K_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))|plus_plus_nat(minus_minus_nat(J_1,K_1),I_2)=minus_minus_nat(plus_plus_nat(J_1,I_2),K_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_1))|minus_minus_nat(plus_plus_nat(J_1,I_2),K_1)=plus_plus_nat(minus_minus_nat(J_1,K_1),I_2).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X))| -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,Y))|hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(X,Y))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),minus_minus_int(Z_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),minus_minus_int(Z_1,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V_3)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Xa)),nat(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Xa)),nat(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),Z))|nat(minus_minus_int(Z,Z_2))=minus_minus_nat(nat(Z),nat(Z_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|nat(times_times_int(Z,Z_2))=times_times_nat(nat(Z),nat(Z_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|times_times_nat(nat(X),nat(Y))=nat(times_times_int(X,Y)).
% 16.10/16.09 0 [] M!=zero_zero_nat|times_times_nat(M,N)=zero_zero_nat.
% 16.10/16.09 0 [] M=zero_zero_nat|times_times_nat(M,N)=plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Wa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Wa)),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Wa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Wa)),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Wa)),nat(Z_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(Wa)),nat(Z_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_1)).
% 16.10/16.09 0 [] M!=zero_zero_nat|hAPP_nat_nat(power_power_nat(P_2),M)=one_one_nat.
% 16.10/16.09 0 [] M=zero_zero_nat|hAPP_nat_nat(power_power_nat(P_2),M)=times_times_nat(P_2,hAPP_nat_nat(power_power_nat(P_2),minus_minus_nat(M,one_one_nat))).
% 16.10/16.09 0 [] times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z)=plus_plus_nat(Z,Z).
% 16.10/16.09 0 [] times_times_nat(Z,number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(Z,Z).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|times_times_nat(number_number_of_nat(V_1),times_times_nat(number_number_of_nat(V_2),K_1))=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|times_times_nat(number_number_of_nat(V_1),times_times_nat(number_number_of_nat(V_2),K_1))=times_times_nat(number_number_of_nat(times_times_int(V_1,V_2)),K_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|times_times_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|times_times_nat(number_number_of_nat(V_1),number_number_of_nat(V_2))=number_number_of_nat(times_times_int(V_1,V_2)).
% 16.10/16.09 0 [] times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls)))))=hAPP_nat_real(power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X)),number_number_of_nat(bit0(bit1(pls)))).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A)).
% 16.10/16.09 0 [] times_times_int(plus_plus_int(A,B_1),minus_minus_int(A,B_1))=minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.09 0 [] minus_minus_nat(hAPP_nat_nat(power_power_nat(X),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_nat(power_power_nat(Y),number_number_of_nat(bit0(bit1(pls)))))=times_times_nat(plus_plus_nat(X,Y),minus_minus_nat(X,Y)).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(minus_minus_int(A,B_1)),number_number_of_nat(bit1(bit1(pls))))=minus_minus_int(plus_plus_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),B_1)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit1(bit1(pls))))).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(minus_minus_int(A,B_1)),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B_1)),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls))))).
% 16.10/16.09 0 [] plus_plus_int(times_times_int(B_1,Q),R_1)!=plus_plus_int(times_times_int(B_2,Q_1),R_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_2,Q_1),R_2)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B_1,Q_1),R_2)),plus_plus_int(times_times_int(B_1,Q),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)).
% 16.10/16.09 0 [] plus_plus_int(times_times_int(B_1,Q),R_1)!=plus_plus_int(times_times_int(B_2,Q_1),R_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_2,Q_1),R_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B_1,Q_1),R_2)),plus_plus_int(times_times_int(B_1,Q),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)).
% 16.10/16.09 0 [] plus_plus_int(hAPP_nat_int(power_power_int(x),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(y),number_number_of_nat(bit0(bit1(pls)))))=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))|minus_minus_nat(nat(P_2),number_number_of_nat(bit0(bit1(pls))))=nat(minus_minus_int(P_2,number_number_of_int(bit0(bit1(pls))))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(minus_minus_int(P_2,number_number_of_int(bit0(bit1(pls))))))).
% 16.10/16.09 0 [] is_int($c5).
% 16.10/16.09 0 [] plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),$c5).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 16.10/16.09 0 [] times_times_real(Z,W)=times_times_real(W,Z).
% 16.10/16.09 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z),W))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z)).
% 16.10/16.09 0 [] times_times_real(times_times_real(Z1,Z2),Z3)=times_times_real(Z1,times_times_real(Z2,Z3)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),J_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J_1),K_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),K_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z),W))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z))|Z=W.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zprime,number_number_of_int(bit0(bit1(pls))))).
% 16.10/16.09 0 [] -is_int(A)|minus_minus_int(A,B_1)!=C|A=plus_plus_int(C,B_1).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int))).
% 16.10/16.09 0 [] hAPP_nat_real(power_power_real(plus_plus_real(X,Y)),number_number_of_nat(bit0(bit1(pls))))=plus_plus_real(plus_plus_real(hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Y),number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),Y)).
% 16.10/16.09 0 [] minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))=plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)))).
% 16.10/16.09 0 [] legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))=one_one_int.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),minus_minus_int(M,N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),times_times_int(M,N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),N)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),min)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(A),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),A)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M)).
% 16.10/16.09 0 [] -is_int(K_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K_1,M)),times_times_int(K_1,N)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N)).
% 16.10/16.09 0 [] -is_int(N)| -is_int(M)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))|M=N.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),plus_plus_int(Na,times_times_int(K,Ma))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),plus_plus_int(Na,times_times_int(K,Ma))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(Xa,Ta)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(plus_plus_int(Xa,times_times_int(C_1,D)),Ta))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(Xa,Ta)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(plus_plus_int(Xa,times_times_int(C_1,D)),Ta))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),min)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),min)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit1(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit1(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),pls)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min)).
% 16.10/16.09 0 [] number_number_of_int(pls)!=number_number_of_int(min).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 16.10/16.09 0 [] min!=bit0(L).
% 16.10/16.09 0 [] bit0(K_1)!=min.
% 16.10/16.09 0 [] min!=pls.
% 16.10/16.09 0 [] pls!=min.
% 16.10/16.09 0 [] bit1(min)=min.
% 16.10/16.09 0 [] -is_int(L_1)|min!=bit1(L_1)|min=L_1.
% 16.10/16.09 0 [] -is_int(L_1)|min=bit1(L_1)|min!=L_1.
% 16.10/16.09 0 [] -is_int(K)|bit1(K)!=min|K=min.
% 16.10/16.09 0 [] -is_int(K)|bit1(K)=min|K!=min.
% 16.10/16.09 0 [] succ(min)=pls.
% 16.10/16.09 0 [] minus_minus_int(K_1,min)=succ(K_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(Y),N))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit0(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit0(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min)).
% 16.10/16.09 0 [] minus_minus_int(pls,bit1(L))=bit1(minus_minus_int(min,L)).
% 16.10/16.09 0 [] minus_minus_int(min,bit1(L))=bit0(minus_minus_int(min,L)).
% 16.10/16.09 0 [] minus_minus_int(min,bit0(L))=bit1(minus_minus_int(min,L)).
% 16.10/16.09 0 [] -is_int(Ma)| -is_int(Na)|times_times_int(Ma,Na)!=one_one_int|Ma=one_one_int|Ma=number_number_of_int(min).
% 16.10/16.09 0 [] -is_int(Ma)| -is_int(Na)|times_times_int(Ma,Na)!=one_one_int|Ma=one_one_int|Na=number_number_of_int(min).
% 16.10/16.09 0 [] -is_int(Ma)| -is_int(Na)|times_times_int(Ma,Na)!=one_one_int|Na=one_one_int|Ma=number_number_of_int(min).
% 16.10/16.09 0 [] -is_int(Ma)| -is_int(Na)|times_times_int(Ma,Na)!=one_one_int|Na=one_one_int|Na=number_number_of_int(min).
% 16.10/16.09 0 [] -is_int(Ma)| -is_int(Na)|times_times_int(Ma,Na)=one_one_int|Ma!=one_one_int|Na!=one_one_int.
% 16.10/16.09 0 [] -is_int(Ma)| -is_int(Na)|times_times_int(Ma,Na)=one_one_int|Ma!=number_number_of_int(min)|Na!=number_number_of_int(min).
% 16.10/16.09 0 [] -is_int(M)|times_times_int(M,N)!=one_one_int|M=one_one_int|M=number_number_of_int(min).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),times_times_int(A,B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),A)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),times_times_int(A,B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),B_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(Y),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min)))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))!=one_one_int.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),s)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(s1,s),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] is_int($c6).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int($c6),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,C)),times_times_nat(B_1,C))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(C,A)),times_times_nat(C,B_1))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(Xa,zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Xa)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(Xa,zero_zero_int),P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Xa)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,zero_zero_int),Ma))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(A_1,zero_zero_int),Ma))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|B_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B_1)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))|K=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))|K!=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),N)),hAPP_nat_nat(power_power_nat(B_1),N)))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1)).
% 16.10/16.09 0 [] N=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X),N)),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya))).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X),N)),hAPP_nat_nat(power_power_nat(Y),N))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat))|Ma=one_one_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat))|Ma!=one_one_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),plus_plus_nat(Na,K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Na)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),plus_plus_nat(Na,K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Na)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),plus_plus_nat(A,B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),B_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(M,zero_zero_int),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))|hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,C),plus_plus_int(B_1,C)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))|B_1!=C| -hBOOL(hAPP_int_bool(zcong(C,D_1),M))|hBOOL(hAPP_int_bool(zcong(A,D_1),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(X,Y),M))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),Z),hAPP_nat_int(power_power_int(Y),Z)),M)).
% 16.10/16.09 0 [] -is_int(Y)| -is_int(X)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_int_bool(zcong(X,Y),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M))|X=Y.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))| -hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))| -hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(A_1,D)),Ma))|hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(B,D)),Ma)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))|hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(A_1,D)),Ma))| -hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(B,D)),Ma)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))| -hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,A_1)),Ma))|hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,B)),Ma)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))|hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,A_1)),Ma))| -hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,B)),Ma)).
% 16.10/16.09 0 [] -is_int(X)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))| -hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),M))|X=zero_zero_int.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))|hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),P_2))|hBOOL(hAPP_int_bool(zcong(Y,zero_zero_int),P_2))| -hBOOL(hAPP_int_bool(zcong(times_times_int(X,Y),zero_zero_int),P_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K_1,M)),times_times_nat(K_1,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zcong(times_times_int(A,B_1),zero_zero_int),P_2))|hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))|hBOOL(hAPP_int_bool(zcong(B_1,zero_zero_int),P_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))|hBOOL(hAPP_int_bool(zcong(B_1,zero_zero_int),P_2))| -hBOOL(hAPP_int_bool(zcong(times_times_int(A,B_1),zero_zero_int),P_2)).
% 16.10/16.09 0 [] X!=plus_plus_nat(times_times_nat(Q,N),R_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),X)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,Na)),Ma))|Na=one_one_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,Na)),Ma))|Na!=one_one_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Na,Ma)),Ma))|Na=one_one_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Na,Ma)),Ma))|Na!=one_one_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Xa)),nat(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Xa)),nat(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),Ya)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(I_2),M)),hAPP_nat_nat(power_power_nat(I_2),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|Ma=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1)).
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma)))|Ma!=zero_zero_nat.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))| -hBOOL(hAPP_int_bool(zcong(X,number_number_of_int(min)),P_2))| -hBOOL(hAPP_int_bool(zcong(X,one_one_int),P_2)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),P_2))| -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls)))),X),P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))|M=zero_zero_nat|M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int)))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int))=one_one_int.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] is_int($c7).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$c7)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$c7),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(s1,$c7),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] -is_int(Y_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))| -hBOOL(hAPP_int_bool(zcong(s1,Y_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))|Y_1=$c7.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)).
% 16.10/16.09 0 [] is_int($c8).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$c8)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$c8),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(s1,$c8),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A))|B_1!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A))|B_1!=C| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|Y!=X.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|X!=Y.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|X!=Y.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)).
% 16.10/16.09 0 [] A!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.10/16.09 0 [] A!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|X=Y.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))|M=N.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|B_1!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.10/16.09 0 [] A!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))|A=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|X=Y.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|Xa=Ya.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|Xa!=Ya.
% 16.10/16.09 0 [] X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)).
% 16.10/16.09 0 [] A=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|Xa!=Ya.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|Xa=Ya.
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|Xa=Ya.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|Xa!=Ya.
% 16.10/16.09 0 [] Xa!=Ya|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya)).
% 16.10/16.09 0 [] Xa!=Ya|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)).
% 16.10/16.09 0 [] Xa=Ya| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)).
% 16.10/16.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|Xa=Ya.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))|Xa!=Ya.
% 16.10/16.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|Xa!=Ya.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M))| -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),J_1),hAPP_nat_int(power_power_int(number_number_of_int(min)),K_1)),M))|hAPP_nat_int(power_power_int(number_number_of_int(min)),J_1)=hAPP_nat_int(power_power_int(number_number_of_int(min)),K_1).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M))| -hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),M)).
% 16.10/16.09 0 [] hAPP_nat_int(power_power_int(number_number_of_int(min)),N)=one_one_int|hAPP_nat_int(power_power_int(number_number_of_int(min)),N)=number_number_of_int(min).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))|legendre(A,P_2)=zero_zero_int.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))| -hBOOL(hAPP_int_bool(quadRes(P_2),A))|legendre(A,P_2)=one_one_int.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))|hBOOL(hAPP_int_bool(quadRes(P_2),A))|legendre(A,P_2)=number_number_of_int(min).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(quadRes(Ma),Xa))|is_int($f19(Ma,Xa)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(quadRes(Ma),Xa))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int($f19(Ma,Xa)),number_number_of_nat(bit0(bit1(pls)))),Xa),Ma)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(quadRes(Ma),Xa))| -is_int(Y_1)| -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls)))),Xa),Ma)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),X))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),nat(minus_minus_int(P_2,one_one_int))),one_one_int),P_2)).
% 16.10/16.09 0 [] -is_int(A)| -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_2))| -hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),P_2))|A=one_one_int|A=minus_minus_int(P_2,one_one_int).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))| -hBOOL(hAPP_int_bool(zcong(B_1,C),M))|hBOOL(hAPP_int_bool(zcong(A,C),M)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(K_1,K_1),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))|hBOOL(hAPP_int_bool(zcong(B,A_1),Ma)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))| -hBOOL(hAPP_int_bool(zcong(B,A_1),Ma)).
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)| -hBOOL(hAPP_int_bool(zcong(A_1,B),zero_zero_int))|A_1=B.
% 16.10/16.09 0 [] -is_int(A_1)| -is_int(B)|hBOOL(hAPP_int_bool(zcong(A_1,B),zero_zero_int))|A_1!=B.
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(A,B_1),one_one_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(times_times_int(A,M),times_times_int(B_1,M)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))|hBOOL(hAPP_int_bool(zcong(times_times_int(A,K_1),times_times_int(B_1,K_1)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))|hBOOL(hAPP_int_bool(zcong(times_times_int(K_1,A),times_times_int(K_1,B_1)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))| -hBOOL(hAPP_int_bool(zcong(C,D_1),M))|hBOOL(hAPP_int_bool(zcong(times_times_int(A,C),times_times_int(B_1,D_1)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))| -hBOOL(hAPP_int_bool(zcong(C,D_1),M))|hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,C),plus_plus_int(B_1,D_1)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A,B_1),M))| -hBOOL(hAPP_int_bool(zcong(C,D_1),M))|hBOOL(hAPP_int_bool(zcong(minus_minus_int(A,C),minus_minus_int(B_1,D_1)),M)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A))| -hBOOL(hAPP_int_bool(zcong(A,B_1),M)).
% 16.10/16.09 0 [] plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(R_1,B_1)),M),times_times_int(minus_minus_int(C,times_times_int(R_1,D_1)),N))=minus_minus_int(plus_plus_int(times_times_int(A,M),times_times_int(C,N)),times_times_int(R_1,plus_plus_int(times_times_int(B_1,M),times_times_int(D_1,N)))).
% 16.10/16.09 0 [] -is_int(B)| -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))|is_int($f20(A_1,B,Ma)).
% 16.10/16.09 0 [] -is_int(B)| -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))|B=plus_plus_int(A_1,times_times_int(Ma,$f20(A_1,B,Ma))).
% 16.10/16.09 0 [] -is_int(B)|hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))| -is_int(K_2)|B!=plus_plus_int(A_1,times_times_int(Ma,K_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),minus_minus_int(A_1,B))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),minus_minus_int(A_1,B))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B_1)).
% 16.10/16.09 0 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))| -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),M))|A=zero_zero_int.
% 16.10/16.09 0 [] -is_int(B_1)| -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),M))| -hBOOL(hAPP_int_bool(zcong(A,B_1),M))|A=B_1.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))| -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),times_times_int(M,N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),N)).
% 16.10/16.09 0 [] -is_int(P_3)| -hBOOL(hAPP_int_bool(zprime,P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3)).
% 16.10/16.09 0 [] -is_int(P_3)| -hBOOL(hAPP_int_bool(zprime,P_3))| -is_int(M_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),P_3))|M_1=one_one_int|M_1=P_3.
% 16.10/16.09 0 [] -is_int(P_3)|hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))|is_int($f21(P_3)).
% 16.10/16.09 0 [] -is_int(P_3)|hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f21(P_3))).
% 16.10/16.09 0 [] -is_int(P_3)|hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f21(P_3)),P_3)).
% 16.10/16.09 0 [] -is_int(P_3)|hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))|$f21(P_3)!=one_one_int.
% 16.10/16.09 0 [] -is_int(P_3)|hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))|$f21(P_3)!=P_3.
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zprime,P_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),P_2))|hBOOL(hAPP_int_bool(zcong(A,one_one_int),P_2))|hBOOL(hAPP_int_bool(zcong(A,minus_minus_int(P_2,one_one_int)),P_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))|hBOOL(hAPP_int_bool(P_1,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,Xa),hAPP_nat_int(semiri1621563631at_int,Ya)))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))|hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))| -hBOOL(hAPP_int_bool(P_1,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,Xa),hAPP_nat_int(semiri1621563631at_int,Ya))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))| -hBOOL(hAPP_int_bool(P_1,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,Xa),hAPP_nat_int(semiri1621563631at_int,Ya))))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 16.10/16.09 0 [] -is_int(P_2)| -hBOOL(hAPP_int_bool(zprime,P_2))|P_2=number_number_of_int(bit0(bit1(pls)))|P_2=number_number_of_int(bit1(bit1(pls)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_2)).
% 16.10/16.09 0 [] -is_int(K)|K=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),Ta))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K,Ma)),times_times_int(K,Ta))).
% 16.10/16.09 0 [] -is_int(K)|K=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),Ta))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K,Ma)),times_times_int(K,Ta))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(pls))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(times_times_int(A_1,minus_minus_int(P_3,one_one_int)),one_one_int),P_3))|hBOOL(hAPP_int_bool(zcong(A_1,minus_minus_int(P_3,one_one_int)),P_3)).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(zcong(times_times_int(A_1,minus_minus_int(P_3,one_one_int)),one_one_int),P_3))| -hBOOL(hAPP_int_bool(zcong(A_1,minus_minus_int(P_3,one_one_int)),P_3)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),Y),one_one_int),P_2))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),times_times_nat(Y,Z)),one_one_int),P_2)).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(N)))).
% 16.10/16.09 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(N)))).
% 16.10/16.09 0 [] is_int($c10).
% 16.10/16.09 0 [] is_int($c9).
% 16.10/16.09 0 [] $c9=minus_minus_int(y,times_times_int($c10,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int($c9))),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.09 0 [] is_int($c12).
% 16.10/16.09 0 [] is_int($c11).
% 16.10/16.09 0 [] $c11=minus_minus_int(x,times_times_int($c12,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.09 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int($c11))),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))).
% 16.10/16.10 0 [] -is_int(I_2)|I_2=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),I_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(D_1)),abs_abs_int(I_2))).
% 16.10/16.10 0 [] nat(abs_abs_int(times_times_int(W,Z)))=times_times_nat(nat(abs_abs_int(W)),nat(abs_abs_int(Z))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_1),A))|abs_abs_int(A)=abs_abs_int(B_1).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),one_one_int))|abs_abs_int(Xa)=one_one_int.
% 16.10/16.10 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),one_one_int))|abs_abs_int(Xa)!=one_one_int.
% 16.10/16.10 0 [] abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M))=hAPP_nat_int(semiri1621563631at_int,M).
% 16.10/16.10 0 [] abs_abs_int(times_times_int(M,N))!=one_one_int|abs_abs_int(M)=one_one_int.
% 16.10/16.10 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(X)),N))).
% 16.10/16.10 0 [] -is_int(Z_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))|Z_1=zero_zero_int.
% 16.10/16.10 0 [] -is_int(Z_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))|Z_1!=zero_zero_int.
% 16.10/16.10 0 [] -is_int(Z_1)|abs_abs_int(Z_1)!=one_one_int|Z_1=one_one_int|Z_1=number_number_of_int(min).
% 16.10/16.10 0 [] -is_int(Z_1)|abs_abs_int(Z_1)=one_one_int|Z_1!=one_one_int.
% 16.10/16.10 0 [] -is_int(Z_1)|abs_abs_int(Z_1)=one_one_int|Z_1!=number_number_of_int(min).
% 16.10/16.10 0 [] abs_abs_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit1(bit1(pls)))))=hAPP_nat_int(power_power_int(abs_abs_int(X)),number_number_of_nat(bit1(bit1(pls)))).
% 16.10/16.10 0 [] -is_int(Xa)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(Xa)),Na)))|Xa!=zero_zero_int|Na=zero_zero_nat.
% 16.10/16.10 0 [] -is_int(Xa)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(Xa)),Na)))|Xa=zero_zero_int.
% 16.10/16.10 0 [] -is_int(Xa)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(Xa)),Na)))|Na!=zero_zero_nat.
% 16.10/16.10 0 [] -is_int(Ma)|Ma=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(Ma,Na)),Ma))|abs_abs_int(Na)=one_one_int.
% 16.10/16.10 0 [] -is_int(Ma)|Ma=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(Ma,Na)),Ma))|abs_abs_int(Na)!=one_one_int.
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),nat(abs_abs_int(Z_1)))).
% 16.10/16.10 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),nat(abs_abs_int(Z_1)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(abs_abs_int(Z_1))),Ma)).
% 16.10/16.10 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(abs_abs_int(Z_1))),Ma)).
% 16.10/16.10 0 [] abs_abs_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))))=hAPP_nat_int(power_power_int(abs_abs_int(A)),number_number_of_nat(bit0(bit1(pls)))).
% 16.10/16.10 0 [] hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))|abs_abs_int(A_1)=abs_abs_int(B).
% 16.10/16.10 0 [] hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))|abs_abs_int(A_1)!=abs_abs_int(B).
% 16.10/16.10 0 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))!=one_one_int|abs_abs_int(A)=one_one_int.
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),plus_plus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D_1)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D_1))),Z)).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))|is_int($f22(Y,X)).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(minus_minus_int(Y,times_times_int($f22(Y,X),X))))),X)).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|is_int($f23(K,P_1,D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,times_times_int(K,D)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f23(K,P_1,D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,times_times_int(K,D)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,minus_minus_int($f23(K,P_1,D),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,times_times_int(K,D)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(abs_abs_real(X),one_one_real)),X)).
% 16.10/16.10 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(one_one_real,abs_abs_real(X)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(X)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))),one_one_real)).
% 16.10/16.10 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f24(Na,P_1)),Na)).
% 16.10/16.10 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),$f24(Na,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I)).
% 16.10/16.10 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))|hBOOL(hAPP_nat_bool(P_1,plus_plus_nat($f24(Na,P_1),one_one_nat))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|is_int($f25(K,P_1,D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,times_times_int(K,D)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f25(K,P_1,D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,times_times_int(K,D)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,plus_plus_int($f25(K,P_1,D),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(P_1,X_1))|hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,times_times_int(K,D)))).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))).
% 16.10/16.10 0 [] times_times_nat(K,Ma)!=times_times_nat(K,Na)|K=zero_zero_nat|Ma=Na.
% 16.10/16.10 0 [] times_times_nat(K,Ma)=times_times_nat(K,Na)|K!=zero_zero_nat.
% 16.10/16.10 0 [] times_times_nat(K,Ma)=times_times_nat(K,Na)|Ma!=Na.
% 16.10/16.10 0 [] plus_plus_nat(times_times_nat(I_2,U_1),plus_plus_nat(times_times_nat(J_1,U_1),K_1))=plus_plus_nat(times_times_nat(plus_plus_nat(I_2,J_1),U_1),K_1).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|times_times_nat(K,Ma)!=times_times_nat(K,Na)|Ma=Na.
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|times_times_nat(K,Ma)=times_times_nat(K,Na)|Ma!=Na.
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|K=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)).
% 16.10/16.10 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|K!=zero_zero_nat.
% 16.10/16.10 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))|minus_minus_nat(plus_plus_nat(times_times_nat(I_2,U_1),M),plus_plus_nat(times_times_nat(J_1,U_1),N))=minus_minus_nat(plus_plus_nat(times_times_nat(minus_minus_nat(I_2,J_1),U_1),M),N).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))|plus_plus_nat(times_times_nat(I_1,U),Ma)!=plus_plus_nat(times_times_nat(J,U),Na)|plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)=Na.
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))|plus_plus_nat(times_times_nat(I_1,U),Ma)=plus_plus_nat(times_times_nat(J,U),Na)|plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)!=Na.
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|minus_minus_nat(plus_plus_nat(times_times_nat(I_2,U_1),M),plus_plus_nat(times_times_nat(J_1,U_1),N))=minus_minus_nat(M,plus_plus_nat(times_times_nat(minus_minus_nat(J_1,I_2),U_1),N)).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|plus_plus_nat(times_times_nat(I_1,U),Ma)!=plus_plus_nat(times_times_nat(J,U),Na)|Ma=plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na).
% 16.10/16.10 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|plus_plus_nat(times_times_nat(I_1,U),Ma)=plus_plus_nat(times_times_nat(J,U),Na)|Ma!=plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na).
% 16.10/16.10 0 [] -is_int(K)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f26(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f27(K,F,Na)),Na)).
% 16.10/16.10 0 [] -is_int(K)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f26(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f27(K,F,Na))=K.
% 16.10/16.10 0 [] -is_int(K)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f26(K,F,Na),one_one_nat)),hAPP_nat_int(F,$f26(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f27(K,F,Na)),Na)).
% 16.10/16.10 0 [] -is_int(K)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f26(K,F,Na),one_one_nat)),hAPP_nat_int(F,$f26(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f27(K,F,Na))=K.
% 16.10/16.10 0 [] -is_int(K)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f28(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f29(K,F,Na)),Na)).
% 16.10/16.10 0 [] -is_int(K)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f28(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f29(K,F,Na))=K.
% 16.10/16.10 0 [] -is_int(K)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f28(K,F,Na),one_one_nat)),hAPP_nat_int(F,$f28(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f29(K,F,Na)),Na)).
% 16.10/16.10 0 [] -is_int(K)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f28(K,F,Na),one_one_nat)),hAPP_nat_int(F,$f28(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f29(K,F,Na))=K.
% 16.10/16.10 0 [] -is_int(X)|if_int(fTrue,X,Y)=X.
% 16.10/16.10 0 [] -is_int(Y)|if_int(fFalse,X,Y)=Y.
% 16.10/16.10 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 16.10/16.10 0 [] if_nat(fTrue,X,Y)=X.
% 16.10/16.10 0 [] if_nat(fFalse,X,Y)=Y.
% 16.10/16.10 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 16.10/16.10 0 [] hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 16.10/16.10 end_of_list.
% 16.10/16.10
% 16.10/16.10 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 16.10/16.10
% 16.10/16.10 This ia a non-Horn set with equality. The strategy will be
% 16.10/16.10 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 16.10/16.10 deletion, with positive clauses in sos and nonpositive
% 16.10/16.10 clauses in usable.
% 16.10/16.10
% 16.10/16.10 dependent: set(knuth_bendix).
% 16.10/16.10 dependent: set(anl_eq).
% 16.10/16.10 dependent: set(para_from).
% 16.10/16.10 dependent: set(para_into).
% 16.10/16.10 dependent: clear(para_from_right).
% 16.10/16.10 dependent: clear(para_into_right).
% 16.10/16.10 dependent: set(para_from_vars).
% 16.10/16.10 dependent: set(eq_units_both_ways).
% 16.10/16.10 dependent: set(dynamic_demod_all).
% 16.10/16.10 dependent: set(dynamic_demod).
% 16.10/16.10 dependent: set(order_eq).
% 16.10/16.10 dependent: set(back_demod).
% 16.10/16.10 dependent: set(lrpo).
% 16.10/16.10 dependent: set(hyper_res).
% 16.10/16.10 dependent: set(unit_deletion).
% 16.10/16.10 dependent: set(factor).
% 16.10/16.10
% 16.10/16.10 ------------> process usable:
% 16.10/16.10 ** KEPT (pick-wt=5): 1 [] -is_int(A)|is_int(abs_abs_int(A)).
% 16.10/16.10 ** KEPT (pick-wt=8): 2 [] -is_int(A)| -is_int(B)|is_int(minus_minus_int(A,B)).
% 16.10/16.10 ** KEPT (pick-wt=8): 3 [] -is_int(A)| -is_int(B)|is_int(plus_plus_int(A,B)).
% 16.10/16.10 ** KEPT (pick-wt=8): 4 [] -is_int(A)| -is_int(B)|is_int(times_times_int(A,B)).
% 16.10/16.10 ** KEPT (pick-wt=11): 5 [] -is_bool(A)| -is_int(B)| -is_int(C)|is_int(if_int(A,B,C)).
% 16.10/16.10 ** KEPT (pick-wt=5): 6 [] -is_int(A)|is_int(bit0(A)).
% 16.10/16.10 ** KEPT (pick-wt=5): 7 [] -is_int(A)|is_int(bit1(A)).
% 16.10/16.10 ** KEPT (pick-wt=5): 8 [] -is_int(A)|is_int(number_number_of_int(A)).
% 16.10/16.10 ** KEPT (pick-wt=5): 9 [] -is_int(A)|is_int(succ(A)).
% 16.10/16.10 ** KEPT (pick-wt=8): 10 [] -is_int(A)| -is_int(B)|is_int(legendre(A,B)).
% 16.10/16.10 ** KEPT (pick-wt=6): 11 [] -is_int(A)|is_bool(hAPP_int_bool(B,A)).
% 16.10/16.10 ** KEPT (pick-wt=24): 12 [] -is_int(A)| -is_int(B)|plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=24): 13 [] -is_int(A)| -is_int(B)|plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|B=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=27): 14 [] -is_int(A)| -is_int(B)|plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=20): 15 [] plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=20): 16 [] plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=23): 17 [] plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=14): 18 [] -is_int(A)|hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=14): 19 [] -is_int(A)|hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=12): 20 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=12): 21 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real|A!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=11): 22 [] number_number_of_nat(A)!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(A))=one_one_int.
% 16.10/16.10 ** KEPT (pick-wt=11): 23 [] number_number_of_nat(A)!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(A))=one_one_nat.
% 16.10/16.10 ** KEPT (pick-wt=11): 24 [] number_number_of_nat(A)!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(A))=one_one_real.
% 16.10/16.10 ** KEPT (pick-wt=19): 25 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 26 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 27 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 26 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 27 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 28 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),number267125858f_real(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 29 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),number267125858f_real(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=8): 30 [] hAPP_nat_int(semiri1621563631at_int,A)!=zero_zero_int|A=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=8): 31 [] hAPP_nat_int(semiri1621563631at_int,A)=zero_zero_int|A!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=14): 32 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 33 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 32 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 33 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=6): 34 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 16.10/16.10 ** KEPT (pick-wt=14): 35 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 36 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 35 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 36 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=16): 37 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 16.10/16.10 ** KEPT (pick-wt=14): 38 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|plus_plus_nat(number_number_of_nat(A),number_number_of_nat(B))=number_number_of_nat(B).
% 16.10/16.10 ** KEPT (pick-wt=20): 39 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),pls))|plus_plus_nat(number_number_of_nat(A),number_number_of_nat(B))=number_number_of_nat(A).
% 16.10/16.10 ** KEPT (pick-wt=12): 40 [] -is_int(A)| -is_int(B)|number_number_of_int(A)!=number_number_of_int(B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 41 [] -is_int(A)| -is_int(B)|number_number_of_int(A)=number_number_of_int(B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 42 [] -is_int(A)| -is_int(B)|number267125858f_real(A)!=number267125858f_real(B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 43 [] -is_int(A)| -is_int(B)|number267125858f_real(A)=number267125858f_real(B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=8): 44 [] number_number_of_nat(A)!=B|B=number_number_of_nat(A).
% 16.10/16.10 ** KEPT (pick-wt=8): 45 [] number_number_of_nat(A)=B|B!=number_number_of_nat(A).
% 16.10/16.10 ** KEPT (pick-wt=10): 46 [] -is_int(A)|number_number_of_int(B)!=A|A=number_number_of_int(B).
% 16.10/16.10 ** KEPT (pick-wt=10): 47 [] -is_int(A)|number_number_of_int(B)=A|A!=number_number_of_int(B).
% 16.10/16.10 ** KEPT (pick-wt=8): 48 [] number267125858f_real(A)!=B|B=number267125858f_real(A).
% 16.10/16.10 ** KEPT (pick-wt=8): 49 [] number267125858f_real(A)=B|B!=number267125858f_real(A).
% 16.10/16.10 ** KEPT (pick-wt=12): 50 [] -is_int(A)| -is_int(B)|bit1(A)!=bit1(B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 51 [] -is_int(A)| -is_int(B)|bit1(A)=bit1(B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 52 [] -is_int(A)| -is_int(B)|bit0(A)!=bit0(B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 53 [] -is_int(A)| -is_int(B)|bit0(A)=bit0(B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=14): 54 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=14): 55 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=14): 56 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 16.10/16.10 ** KEPT (pick-wt=14): 57 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 16.10/16.10 ** KEPT (pick-wt=10): 58 [] hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=10): 59 [] hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=13): 60 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 61 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 62 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 63 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 64 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 65 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 66 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 67 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 68 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 69 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=14): 70 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 71 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 70 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 71 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=13): 72 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 73 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.10 ** KEPT (pick-wt=13): 74 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 75 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 76 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=13): 77 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=6): 78 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=13): 79 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=13): 80 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=21): 81 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 16.10/16.10 ** KEPT (pick-wt=18): 82 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=15): 83 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=8): 84 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=14): 85 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 16.10/16.10 ** KEPT (pick-wt=14): 86 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 16.10/16.10 ** KEPT (pick-wt=14): 87 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 16.10/16.10 ** KEPT (pick-wt=14): 88 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 16.10/16.10 ** KEPT (pick-wt=14): 89 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 90 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 91 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 92 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 16.10/16.10 ** KEPT (pick-wt=16): 93 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=16): 94 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=10): 95 [] -is_int(A)|plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=10): 96 [] -is_int(A)|plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=8): 97 [] plus_plus_real(A,A)!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=8): 98 [] plus_plus_real(A,A)=zero_zero_real|A!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=4): 99 [] bit1(A)!=pls.
% 16.10/16.10 Following clause subsumed by 99 during input processing: 0 [flip.1] bit1(A)!=pls.
% 16.10/16.10 ** KEPT (pick-wt=5): 100 [] bit1(A)!=bit0(B).
% 16.10/16.10 ** KEPT (pick-wt=5): 101 [] bit0(A)!=bit1(B).
% 16.10/16.10 ** KEPT (pick-wt=9): 102 [] -is_int(A)|bit0(A)!=pls|A=pls.
% 16.10/16.10 ** KEPT (pick-wt=9): 103 [] -is_int(A)|bit0(A)=pls|A!=pls.
% 16.10/16.10 ** KEPT (pick-wt=9): 105 [copy,104,flip.2] -is_int(A)|bit0(A)!=pls|pls=A.
% 16.10/16.10 ** KEPT (pick-wt=9): 107 [copy,106,flip.2] -is_int(A)|bit0(A)=pls|pls!=A.
% 16.10/16.10 ** KEPT (pick-wt=3): 108 [] zero_zero_int!=one_one_int.
% 16.10/16.10 ** KEPT (pick-wt=7): 109 [] -is_int(A)|plus_plus_int(A,pls)=A.
% 16.10/16.10 ** KEPT (pick-wt=7): 110 [] -is_int(A)|plus_plus_int(pls,A)=A.
% 16.10/16.10 ** KEPT (pick-wt=7): 111 [] -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 16.10/16.10 ** KEPT (pick-wt=7): 112 [] -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 16.10/16.10 ** KEPT (pick-wt=8): 113 [] -is_int(A)|plus_plus_int(number_number_of_int(pls),A)=A.
% 16.10/16.10 ** KEPT (pick-wt=8): 114 [] -is_int(A)|plus_plus_int(A,number_number_of_int(pls))=A.
% 16.10/16.10 ** KEPT (pick-wt=12): 115 [] -is_int(A)|hAPP_nat_int(power_power_int(A),number_number_of_nat(B))!=zero_zero_int|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=13): 116 [] -is_int(A)|hAPP_nat_int(power_power_int(A),number_number_of_nat(B))!=zero_zero_int|number_number_of_nat(B)!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=16): 117 [] -is_int(A)|hAPP_nat_int(power_power_int(A),number_number_of_nat(B))=zero_zero_int|A!=zero_zero_int|number_number_of_nat(B)=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=10): 118 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))!=zero_zero_nat|A=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=11): 119 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))!=zero_zero_nat|number_number_of_nat(B)!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=14): 120 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))=zero_zero_nat|A!=zero_zero_nat|number_number_of_nat(B)=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=10): 121 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(B))!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=11): 122 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(B))!=zero_zero_real|number_number_of_nat(B)!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=14): 123 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(B))=zero_zero_real|A!=zero_zero_real|number_number_of_nat(B)=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=7): 124 [] plus_plus_int(plus_plus_int(one_one_int,A),A)!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=17): 125 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))))|A!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=17): 126 [] -is_int(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))))|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=15): 127 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))))|A!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=12): 128 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=12): 129 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)).
% 16.10/16.10 ** KEPT (pick-wt=30): 130 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))))|A!=zero_zero_int|B!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=27): 131 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))))|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=27): 132 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))))|B=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=26): 133 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))))|A!=zero_zero_real|B!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=20): 134 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)).
% 16.10/16.10 ** KEPT (pick-wt=20): 135 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)).
% 16.10/16.10 Following clause subsumed by 15 during input processing: 0 [] plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 Following clause subsumed by 16 during input processing: 0 [] plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real.
% 16.10/16.10 Following clause subsumed by 17 during input processing: 0 [] plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=14): 136 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 137 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 138 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 139 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 140 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 141 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=21): 142 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A),B))).
% 16.10/16.10 ** KEPT (pick-wt=21): 143 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A),B))).
% 16.10/16.10 ** KEPT (pick-wt=21): 144 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A),B))).
% 16.10/16.10 ** KEPT (pick-wt=9): 145 [] A!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),A)=one_one_int.
% 16.10/16.10 ** KEPT (pick-wt=9): 146 [] A!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),A)=one_one_nat.
% 16.10/16.10 ** KEPT (pick-wt=9): 147 [] A!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),A)=one_one_real.
% 16.10/16.10 ** KEPT (pick-wt=30): 148 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(C),B)),hAPP_nat_int(power_power_int(C),A))).
% 16.10/16.10 ** KEPT (pick-wt=30): 149 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(C),B)),hAPP_nat_nat(power_power_nat(C),A))).
% 16.10/16.10 ** KEPT (pick-wt=30): 150 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(C),B)),hAPP_nat_real(power_power_real(C),A))).
% 16.10/16.10 ** KEPT (pick-wt=21): 151 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))|is_int($f1(C,A,B))|hBOOL(hAPP_int_bool(C,B)).
% 16.10/16.10 ** KEPT (pick-wt=25): 152 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),$f1(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 16.10/16.10 ** KEPT (pick-wt=23): 153 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))|hBOOL(hAPP_int_bool(C,$f1(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 16.10/16.10 ** KEPT (pick-wt=25): 154 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))| -hBOOL(hAPP_int_bool(C,plus_plus_int($f1(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 16.10/16.10 ** KEPT (pick-wt=6): 155 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 16.10/16.10 ** KEPT (pick-wt=3): 156 [] zero_zero_real!=one_one_real.
% 16.10/16.10 ** KEPT (pick-wt=6): 157 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 16.10/16.10 ** KEPT (pick-wt=8): 158 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),A)).
% 16.10/16.10 ** KEPT (pick-wt=8): 159 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),B)).
% 16.10/16.10 ** KEPT (pick-wt=6): 160 [] -is_int(A)|number_number_of_int(A)=A.
% 16.10/16.10 ** KEPT (pick-wt=9): 161 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=9): 162 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 16.10/16.10 ** KEPT (pick-wt=10): 163 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 164 [] plus_plus_nat(A,B)=plus_plus_nat(A,C)|B!=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 165 [] plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 166 [] plus_plus_nat(A,B)=plus_plus_nat(C,B)|A!=C.
% 16.10/16.10 ** KEPT (pick-wt=16): 167 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=16): 168 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 157 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 16.10/16.10 Following clause subsumed by 162 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 16.10/16.10 Following clause subsumed by 161 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=14): 169 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),plus_plus_nat(B,C))).
% 16.10/16.10 ** KEPT (pick-wt=14): 170 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),plus_plus_nat(C,B))).
% 16.10/16.10 ** KEPT (pick-wt=16): 171 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 16.10/16.10 ** KEPT (pick-wt=22): 172 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 16.10/16.10 ** KEPT (pick-wt=19): 173 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|plus_plus_nat(C,B)!=plus_plus_nat(A,D)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D)).
% 16.10/16.10 ** KEPT (pick-wt=14): 174 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.10/16.10 ** KEPT (pick-wt=9): 175 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=24): 176 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 155 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 16.10/16.10 ** KEPT (pick-wt=18): 177 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|B=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=15): 178 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=12): 179 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=20): 180 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 16.10/16.10 Following clause subsumed by 169 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 170 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 16.10/16.10 Following clause subsumed by 162 during input processing: 0 [] A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 155 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 16.10/16.10 Following clause subsumed by 177 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 179 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B!=zero_zero_nat.
% 16.10/16.10 Following clause subsumed by 178 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 ** KEPT (pick-wt=16): 181 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=16): 182 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 Following clause subsumed by 177 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))|number_number_of_nat(B)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 179 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))|number_number_of_nat(B)!=zero_zero_nat.
% 16.10/16.10 Following clause subsumed by 178 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 181 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 Following clause subsumed by 182 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=20): 183 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),B)).
% 16.10/16.10 ** KEPT (pick-wt=14): 184 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(A)),number_number_of_nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=20): 185 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.10 Following clause subsumed by 25 during input processing: 0 [] -is_int(A)| -is_int(B)|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 16.10/16.10 ** KEPT (pick-wt=8): 186 [] plus_plus_nat(A,B)!=A|B=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=8): 187 [] plus_plus_nat(A,B)!=zero_zero_nat|A=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=8): 188 [] plus_plus_nat(A,B)!=zero_zero_nat|B=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=11): 189 [] plus_plus_nat(A,B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=8): 190 [] -is_int(A)|hAPP_nat_int(power_power_int(A),one_one_nat)=A.
% 16.10/16.10 ** KEPT (pick-wt=10): 191 [] hAPP_nat_real(semiri132038758t_real,A)!=hAPP_nat_real(semiri132038758t_real,B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=10): 192 [] hAPP_nat_real(semiri132038758t_real,A)=hAPP_nat_real(semiri132038758t_real,B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=10): 193 [] hAPP_nat_nat(semiri984289939at_nat,A)!=hAPP_nat_nat(semiri984289939at_nat,B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=10): 194 [] hAPP_nat_nat(semiri984289939at_nat,A)=hAPP_nat_nat(semiri984289939at_nat,B)|A!=B.
% 16.10/16.10 Following clause subsumed by 58 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 16.10/16.10 Following clause subsumed by 59 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 16.10/16.10 Following clause subsumed by 58 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 16.10/16.10 Following clause subsumed by 59 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 196 [copy,195,flip.2] -hBOOL(A)|hAPP_nat_int(semiri1621563631at_int,if_nat(A,B,C))=hAPP_nat_int(semiri1621563631at_int,B).
% 16.10/16.10 ** KEPT (pick-wt=13): 197 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 ** KEPT (pick-wt=13): 198 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 16.10/16.10 Following clause subsumed by 136 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 137 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.10/16.10 Following clause subsumed by 108 during input processing: 0 [flip.1] zero_zero_int!=one_one_int.
% 16.10/16.10 ** KEPT (pick-wt=3): 200 [copy,199,flip.1] zero_zero_nat!=one_one_nat.
% 16.10/16.10 Following clause subsumed by 156 during input processing: 0 [flip.1] zero_zero_real!=one_one_real.
% 16.10/16.10 Following clause subsumed by 108 during input processing: 0 [] zero_zero_int!=one_one_int.
% 16.10/16.10 Following clause subsumed by 200 during input processing: 0 [] zero_zero_nat!=one_one_nat.
% 16.10/16.10 Following clause subsumed by 156 during input processing: 0 [] zero_zero_real!=one_one_real.
% 16.10/16.10 ** KEPT (pick-wt=11): 201 [] -is_int(A)|A=zero_zero_int|hAPP_nat_int(power_power_int(A),B)!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=9): 202 [] A=zero_zero_real|hAPP_nat_real(power_power_real(A),B)!=zero_zero_real.
% 16.10/16.10 Following clause subsumed by 181 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 Following clause subsumed by 182 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=16): 203 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=16): 204 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=16): 205 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=16): 206 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 Following clause subsumed by 182 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.10 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B))).
% 16.10/16.10 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B))).
% 16.10/16.10 Following clause subsumed by 181 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 Following clause subsumed by 203 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 Following clause subsumed by 205 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.10/16.10 ** KEPT (pick-wt=20): 207 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),plus_plus_int(A,C))).
% 16.10/16.10 Following clause subsumed by 170 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),plus_plus_nat(A,C))).
% 16.10/16.10 ** KEPT (pick-wt=20): 208 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),plus_plus_real(A,C))).
% 16.10/16.10 ** KEPT (pick-wt=6): 209 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 16.10/16.10 Following clause subsumed by 155 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 16.10/16.10 ** KEPT (pick-wt=6): 210 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 16.10/16.10 ** KEPT (pick-wt=15): 211 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A),B))).
% 16.10/16.10 Following clause subsumed by 178 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B))).
% 16.10/16.10 ** KEPT (pick-wt=15): 212 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A),B))).
% 16.10/16.10 ** KEPT (pick-wt=18): 213 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hAPP_nat_int(power_power_int(A),B)!=hAPP_nat_int(power_power_int(A),C)|B=C.
% 16.10/16.10 ** KEPT (pick-wt=18): 214 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hAPP_nat_int(power_power_int(A),B)=hAPP_nat_int(power_power_int(A),C)|B!=C.
% 16.10/16.10 ** KEPT (pick-wt=18): 215 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hAPP_nat_nat(power_power_nat(A),B)!=hAPP_nat_nat(power_power_nat(A),C)|B=C.
% 16.10/16.10 ** KEPT (pick-wt=18): 216 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hAPP_nat_nat(power_power_nat(A),B)=hAPP_nat_nat(power_power_nat(A),C)|B!=C.
% 16.10/16.10 ** KEPT (pick-wt=18): 217 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hAPP_nat_real(power_power_real(A),B)!=hAPP_nat_real(power_power_real(A),C)|B=C.
% 16.10/16.10 ** KEPT (pick-wt=18): 218 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hAPP_nat_real(power_power_real(A),B)=hAPP_nat_real(power_power_real(A),C)|B!=C.
% 16.10/16.10 ** KEPT (pick-wt=24): 219 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=24): 220 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=24): 221 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=24): 222 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=24): 223 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=24): 224 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 219 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 221 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 223 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 220 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(C),A)),hAPP_nat_int(power_power_int(C),B))).
% 16.10/16.10 Following clause subsumed by 222 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(C),A)),hAPP_nat_nat(power_power_nat(C),B))).
% 16.10/16.10 Following clause subsumed by 224 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(C),A)),hAPP_nat_real(power_power_real(C),B))).
% 16.10/16.10 Following clause subsumed by 201 during input processing: 0 [] -is_int(A)|hAPP_nat_int(power_power_int(A),B)!=zero_zero_int|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=11): 225 [] -is_int(A)|hAPP_nat_int(power_power_int(A),B)!=zero_zero_int|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=14): 226 [] -is_int(A)|hAPP_nat_int(power_power_int(A),B)=zero_zero_int|A!=zero_zero_int|B=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=9): 227 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=9): 228 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=12): 229 [] hAPP_nat_nat(power_power_nat(A),B)=zero_zero_nat|A!=zero_zero_nat|B=zero_zero_nat.
% 16.10/16.10 Following clause subsumed by 202 during input processing: 0 [] hAPP_nat_real(power_power_real(A),B)!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=9): 230 [] hAPP_nat_real(power_power_real(A),B)!=zero_zero_real|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=12): 231 [] hAPP_nat_real(power_power_real(A),B)=zero_zero_real|A!=zero_zero_real|B=zero_zero_nat.
% 16.10/16.10 Following clause subsumed by 84 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int)).
% 16.10/16.10 Following clause subsumed by 155 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),zero_zero_nat)).
% 16.10/16.10 ** KEPT (pick-wt=8): 232 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),zero_zero_real)).
% 16.10/16.10 ** KEPT (pick-wt=15): 233 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f2(A))).
% 16.10/16.10 ** KEPT (pick-wt=14): 235 [copy,234,flip.3] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,$f2(A))=A.
% 16.10/16.10 ** KEPT (pick-wt=14): 236 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f3(A,B))).
% 16.10/16.10 ** KEPT (pick-wt=13): 237 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|plus_plus_nat(A,$f3(A,B))=B.
% 16.10/16.10 ** KEPT (pick-wt=12): 238 [] hAPP_nat_nat(power_power_nat(A),B)!=one_one_nat|A=one_one_nat|B=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=9): 239 [] hAPP_nat_nat(power_power_nat(A),B)=one_one_nat|A!=one_one_nat.
% 16.10/16.10 ** KEPT (pick-wt=9): 240 [] hAPP_nat_nat(power_power_nat(A),B)=one_one_nat|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=14): 241 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 242 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 243 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A,A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 16.10/16.10 ** KEPT (pick-wt=14): 244 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 16.10/16.10 Following clause subsumed by 54 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 Following clause subsumed by 55 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.10/16.10 Following clause subsumed by 56 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 16.10/16.10 Following clause subsumed by 57 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 16.10/16.10 Following clause subsumed by 207 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 16.10/16.10 Following clause subsumed by 169 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 16.10/16.10 Following clause subsumed by 208 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A,B))).
% 16.10/16.10 ** KEPT (pick-wt=20): 245 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),zero_zero_int)).
% 16.10/16.10 Following clause subsumed by 155 during input processing: 0 [unit_del,155,factor_simp] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 16.10/16.10 ** KEPT (pick-wt=20): 246 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),zero_zero_real)).
% 16.10/16.10 ** KEPT (pick-wt=8): 247 [] -is_int(A)|zero_zero_int!=A|A=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=8): 248 [] -is_int(A)|zero_zero_int=A|A!=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=6): 249 [] zero_zero_nat!=A|A=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=6): 250 [] zero_zero_nat=A|A!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=6): 251 [] zero_zero_real!=A|A=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=6): 252 [] zero_zero_real=A|A!=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=14): 253 [] -is_int(A)| -is_int(B)|plus_plus_int(A,C)!=plus_plus_int(B,C)|A=B.
% 16.10/16.10 Following clause subsumed by 165 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 254 [] plus_plus_real(A,B)!=plus_plus_real(C,B)|A=C.
% 16.10/16.10 ** KEPT (pick-wt=14): 255 [] -is_int(A)| -is_int(B)|plus_plus_int(C,A)!=plus_plus_int(C,B)|A=B.
% 16.10/16.10 Following clause subsumed by 163 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 256 [] plus_plus_real(A,B)!=plus_plus_real(A,C)|B=C.
% 16.10/16.10 Following clause subsumed by 255 during input processing: 0 [] -is_int(A)| -is_int(B)|plus_plus_int(C,A)!=plus_plus_int(C,B)|A=B.
% 16.10/16.10 Following clause subsumed by 163 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 16.10/16.10 Following clause subsumed by 256 during input processing: 0 [] plus_plus_real(A,B)!=plus_plus_real(A,C)|B=C.
% 16.10/16.10 Following clause subsumed by 253 during input processing: 0 [] -is_int(A)| -is_int(B)|plus_plus_int(A,C)!=plus_plus_int(B,C)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=14): 257 [] -is_int(A)| -is_int(B)|plus_plus_int(A,C)=plus_plus_int(B,C)|A!=B.
% 16.10/16.10 Following clause subsumed by 165 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 16.10/16.10 Following clause subsumed by 166 during input processing: 0 [] plus_plus_nat(A,B)=plus_plus_nat(C,B)|A!=C.
% 16.10/16.10 Following clause subsumed by 254 during input processing: 0 [] plus_plus_real(A,B)!=plus_plus_real(C,B)|A=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 258 [] plus_plus_real(A,B)=plus_plus_real(C,B)|A!=C.
% 16.10/16.10 Following clause subsumed by 255 during input processing: 0 [] -is_int(A)| -is_int(B)|plus_plus_int(C,A)!=plus_plus_int(C,B)|A=B.
% 16.10/16.10 ** KEPT (pick-wt=14): 259 [] -is_int(A)| -is_int(B)|plus_plus_int(C,A)=plus_plus_int(C,B)|A!=B.
% 16.10/16.10 Following clause subsumed by 163 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 16.10/16.10 Following clause subsumed by 164 during input processing: 0 [] plus_plus_nat(A,B)=plus_plus_nat(A,C)|B!=C.
% 16.10/16.10 Following clause subsumed by 256 during input processing: 0 [] plus_plus_real(A,B)!=plus_plus_real(A,C)|B=C.
% 16.10/16.10 ** KEPT (pick-wt=10): 260 [] plus_plus_real(A,B)=plus_plus_real(A,C)|B!=C.
% 16.10/16.10 ** KEPT (pick-wt=8): 261 [] -is_int(A)|one_one_int!=A|A=one_one_int.
% 16.10/16.10 ** KEPT (pick-wt=8): 262 [] -is_int(A)|one_one_int=A|A!=one_one_int.
% 16.10/16.10 ** KEPT (pick-wt=6): 263 [] one_one_nat!=A|A=one_one_nat.
% 16.10/16.10 ** KEPT (pick-wt=6): 264 [] one_one_nat=A|A!=one_one_nat.
% 16.10/16.10 ** KEPT (pick-wt=6): 265 [] one_one_real!=A|A=one_one_real.
% 16.10/16.10 ** KEPT (pick-wt=6): 266 [] one_one_real=A|A!=one_one_real.
% 16.10/16.10 ** KEPT (pick-wt=12): 268 [copy,267,flip.3] -is_int(A)| -is_int(B)|plus_plus_int(A,B)!=A|B=zero_zero_int.
% 16.10/16.10 ** KEPT (pick-wt=12): 270 [copy,269,flip.3] -is_int(A)| -is_int(B)|plus_plus_int(A,B)=A|B!=zero_zero_int.
% 16.10/16.10 Following clause subsumed by 186 during input processing: 0 [flip.1] plus_plus_nat(A,B)!=A|B=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=8): 272 [copy,271,flip.1] plus_plus_nat(A,B)=A|B!=zero_zero_nat.
% 16.10/16.10 ** KEPT (pick-wt=8): 274 [copy,273,flip.1] plus_plus_real(A,B)!=A|B=zero_zero_real.
% 16.10/16.10 ** KEPT (pick-wt=8): 276 [copy,275,flip.1] plus_plus_real(A,B)=A|B!=zero_zero_real.
% 16.10/16.10 Following clause subsumed by 111 during input processing: 0 [] -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 16.10/16.10 Following clause subsumed by 111 during input processing: 0 [] -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 16.10/16.10 Following clause subsumed by 111 during input processing: 0 [] -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 16.10/16.10 Following clause subsumed by 95 during input processing: 0 [flip.2] -is_int(A)|plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int.
% 16.10/16.10 Following clause subsumed by 96 during input processing: 0 [flip.2] -is_int(A)|plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int.
% 16.10/16.10 Following clause subsumed by 97 during input processing: 0 [flip.1] plus_plus_real(A,A)!=zero_zero_real|A=zero_zero_real.
% 16.10/16.10 Following clause subsumed by 98 during input processing: 0 [flip.1] plus_plus_real(A,A)=zero_zero_real|A!=zero_zero_real.
% 16.10/16.10 Following clause subsumed by 112 during input processing: 0 [] -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 16.10/16.10 Following clause subsumed by 112 during input processing: 0 [] -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 16.10/16.10 Following clause subsumed by 112 during input processing: 0 [] -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 16.10/16.10 ** KEPT (pick-wt=16): 277 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 16.10/16.10 Following clause subsumed by 167 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=16): 278 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.10/16.10 ** KEPT (pick-wt=16): 279 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 16.10/16.10 ** KEPT (pick-wt=16): 280 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.10/16.10 ** KEPT (pick-wt=16): 281 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 16.10/16.10 ** KEPT (pick-wt=22): 282 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 16.10/16.10 Following clause subsumed by 172 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 16.10/16.10 ** KEPT (pick-wt=22): 283 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,C)),plus_plus_real(B,D))).
% 16.10/16.10 ** KEPT (pick-wt=16): 284 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 16.10/16.10 Following clause subsumed by 168 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 16.10/16.10 ** KEPT (pick-wt=16): 285 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C,A)),plus_plus_real(C,B))).
% 16.10/16.10 Following clause subsumed by 37 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 16.10/16.10 Following clause subsumed by 171 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 16.10/16.10 ** KEPT (pick-wt=16): 286 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,C)),plus_plus_real(B,C))).
% 16.10/16.10 Following clause subsumed by 277 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 16.10/16.10 Following clause subsumed by 284 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 16.10/16.10 Following clause subsumed by 167 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.10 Following clause subsumed by 168 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.11 Following clause subsumed by 278 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.10/16.11 Following clause subsumed by 285 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.10/16.11 Following clause subsumed by 279 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 16.10/16.11 Following clause subsumed by 37 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 16.10/16.11 Following clause subsumed by 280 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.10/16.11 Following clause subsumed by 171 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.10/16.11 Following clause subsumed by 281 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 16.10/16.11 Following clause subsumed by 286 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 16.10/16.11 Following clause subsumed by 190 during input processing: 0 [] -is_int(A)|hAPP_nat_int(power_power_int(A),one_one_nat)=A.
% 16.10/16.11 Following clause subsumed by 228 during input processing: 0 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 16.10/16.11 Following clause subsumed by 227 during input processing: 0 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 16.10/16.11 Following clause subsumed by 229 during input processing: 0 [] hAPP_nat_nat(power_power_nat(A),B)=zero_zero_nat|B=zero_zero_nat|A!=zero_zero_nat.
% 16.10/16.11 ** KEPT (pick-wt=20): 287 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f4(B,A))).
% 16.10/16.11 ** KEPT (pick-wt=20): 288 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hAPP_nat_real(power_power_real($f4(B,A)),A)=B.
% 16.10/16.11 ** KEPT (pick-wt=29): 289 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hAPP_nat_real(power_power_real(C),A)!=B|C=$f4(B,A).
% 16.10/16.11 ** KEPT (pick-wt=20): 290 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f5(B,A))).
% 16.10/16.11 ** KEPT (pick-wt=20): 291 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hAPP_nat_real(power_power_real($f5(B,A)),A)=B.
% 16.10/16.11 ** KEPT (pick-wt=12): 292 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|plus_plus_nat(number_number_of_nat(A),one_one_nat)=one_one_nat.
% 16.10/16.11 ** KEPT (pick-wt=12): 293 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|plus_plus_nat(one_one_nat,number_number_of_nat(A))=one_one_nat.
% 16.10/16.11 ** KEPT (pick-wt=14): 294 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A,B)),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=14): 295 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A,B)),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=14): 296 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A,B)),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=14): 297 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A,B)),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=21): 298 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|minus_minus_int(A,B)!=minus_minus_int(C,D)|A!=B|C=D.
% 16.10/16.11 ** KEPT (pick-wt=21): 299 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|minus_minus_int(A,B)!=minus_minus_int(C,D)|A=B|C!=D.
% 16.10/16.11 ** KEPT (pick-wt=13): 300 [] minus_minus_real(A,B)!=minus_minus_real(C,D)|A!=B|C=D.
% 16.10/16.11 ** KEPT (pick-wt=13): 301 [] minus_minus_real(A,B)!=minus_minus_real(C,D)|A=B|C!=D.
% 16.10/16.11 ** KEPT (pick-wt=19): 302 [] minus_minus_int(A,B)!=minus_minus_int(C,D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=19): 303 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=19): 304 [] minus_minus_real(A,B)!=minus_minus_real(C,D)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=19): 305 [] minus_minus_real(A,B)!=minus_minus_real(C,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=22): 307 [copy,306,flip.3] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),B))|number267125858f_real(times_times_int(A,B))=times_times_real(number267125858f_real(A),number267125858f_real(B)).
% 16.10/16.11 ** KEPT (pick-wt=22): 309 [copy,308,flip.3] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),B))|number_number_of_nat(times_times_int(A,B))=times_times_nat(number_number_of_nat(A),number_number_of_nat(B)).
% 16.10/16.11 ** KEPT (pick-wt=22): 311 [copy,310,flip.3] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),B))|number_number_of_int(times_times_int(A,B))=times_times_int(number_number_of_int(A),number_number_of_int(B)).
% 16.10/16.11 ** KEPT (pick-wt=18): 312 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=19): 313 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|A=B.
% 16.10/16.11 ** KEPT (pick-wt=14): 314 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=14): 315 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=14): 316 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=14): 317 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=24): 318 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|nat(B)!=nat(A)|B=A.
% 16.10/16.11 ** KEPT (pick-wt=24): 319 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|nat(B)=nat(A)|B!=A.
% 16.10/16.11 ** KEPT (pick-wt=16): 320 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=16): 321 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=16): 322 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=16): 323 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=16): 324 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=16): 325 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.10/16.11 ** KEPT (pick-wt=10): 327 [copy,326,flip.2] -hBOOL(A)|nat(if_int(A,B,C))=nat(B).
% 16.10/16.11 ** KEPT (pick-wt=20): 328 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 329 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 330 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 16.10/16.11 ** KEPT (pick-wt=20): 331 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 16.10/16.11 ** KEPT (pick-wt=20): 332 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 333 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 334 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B))).
% 16.10/16.11 ** KEPT (pick-wt=20): 335 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B))).
% 16.10/16.11 ** KEPT (pick-wt=20): 336 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 16.10/16.11 ** KEPT (pick-wt=20): 337 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 16.10/16.11 ** KEPT (pick-wt=34): 338 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,C)),times_times_real(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 339 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 340 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,C)),times_times_int(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 341 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,C)),times_times_real(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 342 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 343 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,C)),times_times_int(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=22): 344 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C,B)),times_times_real(C,A))).
% 16.10/16.11 ** KEPT (pick-wt=22): 345 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C,B)),times_times_int(C,A))).
% 16.10/16.11 ** KEPT (pick-wt=22): 346 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B,C)),times_times_real(A,C))).
% 16.10/16.11 ** KEPT (pick-wt=22): 347 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B,C)),times_times_int(A,C))).
% 16.10/16.11 ** KEPT (pick-wt=22): 348 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C,A)),times_times_real(C,B))).
% 16.10/16.11 ** KEPT (pick-wt=22): 349 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 16.10/16.11 ** KEPT (pick-wt=22): 350 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C,A)),times_times_int(C,B))).
% 16.10/16.11 Following clause subsumed by 348 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(C,A)),times_times_real(C,B))).
% 16.10/16.11 Following clause subsumed by 349 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 16.10/16.11 Following clause subsumed by 350 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C,A)),times_times_int(C,B))).
% 16.10/16.11 ** KEPT (pick-wt=22): 351 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,C)),times_times_real(B,C))).
% 16.10/16.11 ** KEPT (pick-wt=22): 352 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 16.10/16.11 ** KEPT (pick-wt=22): 353 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,C)),times_times_int(B,C))).
% 16.10/16.11 Following clause subsumed by 335 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B))).
% 16.10/16.11 Following clause subsumed by 337 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 16.10/16.11 Following clause subsumed by 329 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real)).
% 16.10/16.11 Following clause subsumed by 331 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 16.10/16.11 Following clause subsumed by 333 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 16.10/16.11 Following clause subsumed by 329 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B,A)),zero_zero_real)).
% 16.10/16.11 Following clause subsumed by 331 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(B,A)),zero_zero_nat)).
% 16.10/16.11 Following clause subsumed by 333 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B,A)),zero_zero_int)).
% 16.10/16.11 Following clause subsumed by 328 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real)).
% 16.10/16.11 Following clause subsumed by 330 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 16.10/16.11 Following clause subsumed by 332 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 16.10/16.11 Following clause subsumed by 318 during input processing: 0 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|nat(B)!=nat(A)|B=A.
% 16.10/16.11 Following clause subsumed by 319 during input processing: 0 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|nat(B)=nat(A)|B!=A.
% 16.10/16.11 Following clause subsumed by 336 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 16.10/16.11 Following clause subsumed by 334 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B))).
% 16.10/16.11 ** KEPT (pick-wt=20): 354 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),times_times_nat(A,B))).
% 16.10/16.11 Following clause subsumed by 336 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 16.10/16.11 ** KEPT (pick-wt=26): 355 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(minus_minus_real(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 356 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(minus_minus_real(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 357 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 358 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=20): 359 [] plus_plus_real(times_times_real(A,B),C)!=plus_plus_real(times_times_real(D,B),E)|plus_plus_real(times_times_real(minus_minus_real(A,D),B),C)=E.
% 16.10/16.11 ** KEPT (pick-wt=20): 360 [] plus_plus_real(times_times_real(A,B),C)=plus_plus_real(times_times_real(D,B),E)|plus_plus_real(times_times_real(minus_minus_real(A,D),B),C)!=E.
% 16.10/16.11 ** KEPT (pick-wt=22): 361 [] -is_int(A)|plus_plus_int(times_times_int(B,C),D)!=plus_plus_int(times_times_int(E,C),A)|plus_plus_int(times_times_int(minus_minus_int(B,E),C),D)=A.
% 16.10/16.11 ** KEPT (pick-wt=22): 362 [] -is_int(A)|plus_plus_int(times_times_int(B,C),D)=plus_plus_int(times_times_int(E,C),A)|plus_plus_int(times_times_int(minus_minus_int(B,E),C),D)!=A.
% 16.10/16.11 ** KEPT (pick-wt=26): 363 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),plus_plus_real(times_times_real(minus_minus_real(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=26): 364 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),plus_plus_real(times_times_real(minus_minus_real(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=26): 365 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=26): 366 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=20): 367 [] plus_plus_real(times_times_real(A,B),C)!=plus_plus_real(times_times_real(D,B),E)|C=plus_plus_real(times_times_real(minus_minus_real(D,A),B),E).
% 16.10/16.11 ** KEPT (pick-wt=20): 368 [] plus_plus_real(times_times_real(A,B),C)=plus_plus_real(times_times_real(D,B),E)|C!=plus_plus_real(times_times_real(minus_minus_real(D,A),B),E).
% 16.10/16.11 ** KEPT (pick-wt=22): 369 [] -is_int(A)|plus_plus_int(times_times_int(B,C),A)!=plus_plus_int(times_times_int(D,C),E)|A=plus_plus_int(times_times_int(minus_minus_int(D,B),C),E).
% 16.10/16.11 ** KEPT (pick-wt=22): 370 [] -is_int(A)|plus_plus_int(times_times_int(B,C),A)=plus_plus_int(times_times_int(D,C),E)|A!=plus_plus_int(times_times_int(minus_minus_int(D,B),C),E).
% 16.10/16.11 ** KEPT (pick-wt=20): 371 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 372 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.11 ** KEPT (pick-wt=20): 373 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 374 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.11 Following clause subsumed by 328 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.11 Following clause subsumed by 329 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.11 ** KEPT (pick-wt=20): 375 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 376 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.11 ** KEPT (pick-wt=20): 377 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 378 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.11 Following clause subsumed by 332 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.11 Following clause subsumed by 333 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.11 ** KEPT (pick-wt=20): 379 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 380 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 381 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 382 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.11 Following clause subsumed by 334 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B)).
% 16.10/16.11 Following clause subsumed by 335 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),times_times_real(A,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real)).
% 16.10/16.11 ** KEPT (pick-wt=20): 383 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 384 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 385 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=20): 386 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.11 Following clause subsumed by 336 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.10/16.11 Following clause subsumed by 337 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=18): 387 [] -hBOOL(hAPP_nat_bool(A,$f6(A)))| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_nat_bool(A,nat(B))).
% 16.10/16.11 ** KEPT (pick-wt=10): 388 [] hBOOL(hAPP_nat_bool(A,B))| -hBOOL(hAPP_nat_bool(A,nat($f7(A)))).
% 16.10/16.11 ** KEPT (pick-wt=7): 389 [] -hBOOL(hAPP_nat_bool(A,B))|is_int($f8(A)).
% 16.10/16.11 ** KEPT (pick-wt=11): 390 [] -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f8(A))).
% 16.10/16.11 ** KEPT (pick-wt=10): 391 [] -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(A,nat($f8(A)))).
% 16.10/16.11 ** KEPT (pick-wt=18): 392 [] hBOOL(hAPP_nat_bool(A,$f9(A)))| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_nat_bool(A,nat(B))).
% 16.10/16.11 ** KEPT (pick-wt=26): 393 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(minus_minus_real(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 394 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(minus_minus_real(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 395 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 396 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 16.10/16.11 ** KEPT (pick-wt=26): 397 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),plus_plus_real(times_times_real(minus_minus_real(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=26): 398 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A,B),C)),plus_plus_real(times_times_real(D,B),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),plus_plus_real(times_times_real(minus_minus_real(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=26): 399 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=26): 400 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 16.10/16.11 ** KEPT (pick-wt=22): 401 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 402 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 403 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 404 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 405 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 406 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 407 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 408 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 409 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 16.10/16.11 Following clause subsumed by 407 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.10/16.11 Following clause subsumed by 408 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.10/16.11 Following clause subsumed by 409 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 410 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 411 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 412 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 16.10/16.11 Following clause subsumed by 410 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 16.10/16.11 Following clause subsumed by 411 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.10/16.11 Following clause subsumed by 412 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=34): 413 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,C)),times_times_real(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 414 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 415 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 416 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,C)),times_times_real(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 417 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 418 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 419 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,C)),times_times_real(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 420 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 421 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 422 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,C)),times_times_real(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 423 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=34): 424 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 16.10/16.11 ** KEPT (pick-wt=22): 425 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B)).
% 16.10/16.11 ** KEPT (pick-wt=22): 426 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B)).
% 16.10/16.11 ** KEPT (pick-wt=22): 427 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 16.10/16.11 ** KEPT (pick-wt=22): 428 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 16.10/16.11 Following clause subsumed by 401 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 429 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.10/16.11 Following clause subsumed by 403 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=22): 430 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=15): 431 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B))),zero_zero_real))|A=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=15): 432 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B))),zero_zero_real))|B=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=18): 433 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B))),zero_zero_real))|A!=zero_zero_real|B!=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=19): 434 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int))|A=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=19): 435 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int))|B=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=22): 436 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int))|A!=zero_zero_int|B!=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=26): 437 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),A)).
% 16.10/16.11 ** KEPT (pick-wt=26): 438 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),A)).
% 16.10/16.11 ** KEPT (pick-wt=26): 439 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B,A)),A)).
% 16.10/16.11 ** KEPT (pick-wt=26): 440 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B,A)),A)).
% 16.10/16.11 ** KEPT (pick-wt=10): 441 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))|nat(A)=zero_zero_nat.
% 16.10/16.11 ** KEPT (pick-wt=10): 442 [] nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 16.10/16.11 Following clause subsumed by 441 during input processing: 0 [] nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 16.10/16.11 ** KEPT (pick-wt=24): 443 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(C),A)),hAPP_nat_real(power_power_real(C),B))).
% 16.10/16.11 ** KEPT (pick-wt=24): 444 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(C),A)),hAPP_nat_nat(power_power_nat(C),B))).
% 16.10/16.11 ** KEPT (pick-wt=24): 445 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(C),A)),hAPP_nat_int(power_power_int(C),B))).
% 16.10/16.11 ** KEPT (pick-wt=14): 446 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,nat(A))=A.
% 16.10/16.11 ** KEPT (pick-wt=14): 447 [] -is_int(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,nat(A))=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=11): 448 [] -is_int(A)|hAPP_nat_int(semiri1621563631at_int,B)!=A|B=nat(A).
% 16.10/16.11 ** KEPT (pick-wt=13): 449 [] -is_int(A)|hAPP_nat_int(semiri1621563631at_int,B)!=A|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 16.10/16.11 ** KEPT (pick-wt=17): 450 [] -is_int(A)|hAPP_nat_int(semiri1621563631at_int,B)=A|B!=nat(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 16.10/16.11 Following clause subsumed by 446 during input processing: 0 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,nat(A))=A.
% 16.10/16.11 ** KEPT (pick-wt=8): 451 [] minus_minus_real(A,B)!=zero_zero_real|A=B.
% 16.10/16.11 ** KEPT (pick-wt=8): 452 [] minus_minus_real(A,B)=zero_zero_real|A!=B.
% 16.10/16.11 ** KEPT (pick-wt=12): 453 [] -is_int(A)| -is_int(B)|minus_minus_int(A,B)!=zero_zero_int|A=B.
% 16.10/16.11 ** KEPT (pick-wt=12): 454 [] -is_int(A)| -is_int(B)|minus_minus_int(A,B)=zero_zero_int|A!=B.
% 16.10/16.11 Following clause subsumed by 452 during input processing: 0 [] A!=B|minus_minus_real(A,B)=zero_zero_real.
% 16.10/16.11 Following clause subsumed by 451 during input processing: 0 [] A=B|minus_minus_real(A,B)!=zero_zero_real.
% 16.10/16.11 Following clause subsumed by 454 during input processing: 0 [] -is_int(A)| -is_int(B)|A!=B|minus_minus_int(A,B)=zero_zero_int.
% 16.10/16.11 Following clause subsumed by 453 during input processing: 0 [] -is_int(A)| -is_int(B)|A=B|minus_minus_int(A,B)!=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=7): 455 [] -is_int(A)|minus_minus_int(A,zero_zero_int)=A.
% 16.10/16.11 ** KEPT (pick-wt=19): 456 [] minus_minus_int(A,B)!=minus_minus_int(C,D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=19): 457 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=19): 458 [] minus_minus_real(A,B)!=minus_minus_real(C,D)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=19): 459 [] minus_minus_real(A,B)!=minus_minus_real(C,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D)).
% 16.10/16.11 ** KEPT (pick-wt=9): 460 [] -is_int(A)|minus_minus_int(plus_plus_int(A,B),B)=A.
% 16.10/16.11 ** KEPT (pick-wt=9): 461 [] -is_int(A)|plus_plus_int(minus_minus_int(A,B),B)=A.
% 16.10/16.11 ** KEPT (pick-wt=11): 462 [] times_times_real(A,B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=8): 463 [] times_times_real(A,B)=zero_zero_real|A!=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=8): 464 [] times_times_real(A,B)=zero_zero_real|B!=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=15): 465 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=12): 466 [] -is_int(A)| -is_int(B)|times_times_int(A,B)=zero_zero_int|A!=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=12): 467 [] -is_int(A)| -is_int(B)|times_times_int(A,B)=zero_zero_int|B!=zero_zero_int.
% 16.10/16.11 Following clause subsumed by 462 during input processing: 0 [] A=zero_zero_real|B=zero_zero_real|times_times_real(A,B)!=zero_zero_real.
% 16.10/16.11 ** KEPT (pick-wt=11): 468 [] A=zero_zero_nat|B=zero_zero_nat|times_times_nat(A,B)!=zero_zero_nat.
% 16.10/16.11 Following clause subsumed by 465 during input processing: 0 [] -is_int(A)| -is_int(B)|B=zero_zero_int|A=zero_zero_int|times_times_int(B,A)!=zero_zero_int.
% 16.10/16.11 Following clause subsumed by 462 during input processing: 0 [] times_times_real(A,B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 16.10/16.11 Following clause subsumed by 468 during input processing: 0 [] times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 16.10/16.11 Following clause subsumed by 465 during input processing: 0 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 16.10/16.11 ** KEPT (pick-wt=13): 469 [] minus_minus_nat(A,B)!=zero_zero_nat|minus_minus_nat(B,A)!=zero_zero_nat|A=B.
% 16.10/16.11 ** KEPT (pick-wt=21): 470 [] plus_plus_real(times_times_real(A,B),times_times_real(C,D))!=plus_plus_real(times_times_real(A,D),times_times_real(C,B))|A=C|B=D.
% 16.10/16.11 ** KEPT (pick-wt=18): 471 [] plus_plus_real(times_times_real(A,B),times_times_real(C,D))=plus_plus_real(times_times_real(A,D),times_times_real(C,B))|A!=C.
% 16.10/16.11 ** KEPT (pick-wt=18): 472 [] plus_plus_real(times_times_real(A,B),times_times_real(C,D))=plus_plus_real(times_times_real(A,D),times_times_real(C,B))|B!=D.
% 16.10/16.11 ** KEPT (pick-wt=21): 473 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|A=C|B=D.
% 16.10/16.11 ** KEPT (pick-wt=18): 474 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|A!=C.
% 16.10/16.11 ** KEPT (pick-wt=18): 475 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|B!=D.
% 16.10/16.11 ** KEPT (pick-wt=29): 476 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|plus_plus_int(times_times_int(A,B),times_times_int(C,D))!=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A=C|B=D.
% 16.10/16.11 ** KEPT (pick-wt=26): 477 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A!=C.
% 16.10/16.11 ** KEPT (pick-wt=26): 478 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|B!=D.
% 16.10/16.11 Following clause subsumed by 470 during input processing: 0 [] A=B|C=D|plus_plus_real(times_times_real(A,C),times_times_real(B,D))!=plus_plus_real(times_times_real(A,D),times_times_real(B,C)).
% 16.10/16.11 Following clause subsumed by 471 during input processing: 0 [] A!=B|plus_plus_real(times_times_real(A,C),times_times_real(B,D))=plus_plus_real(times_times_real(A,D),times_times_real(B,C)).
% 16.10/16.11 Following clause subsumed by 472 during input processing: 0 [] A!=B|plus_plus_real(times_times_real(C,A),times_times_real(D,B))=plus_plus_real(times_times_real(C,B),times_times_real(D,A)).
% 16.10/16.11 Following clause subsumed by 473 during input processing: 0 [] A=B|C=D|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 16.10/16.11 Following clause subsumed by 474 during input processing: 0 [] A!=B|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 16.10/16.11 Following clause subsumed by 475 during input processing: 0 [] A!=B|plus_plus_nat(times_times_nat(C,A),times_times_nat(D,B))=plus_plus_nat(times_times_nat(C,B),times_times_nat(D,A)).
% 16.10/16.11 Following clause subsumed by 476 during input processing: 0 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|C=D|A=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))!=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 16.10/16.11 Following clause subsumed by 477 during input processing: 0 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|C!=D|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 16.10/16.11 Following clause subsumed by 478 during input processing: 0 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|A!=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 16.10/16.11 ** KEPT (pick-wt=7): 479 [] -is_int(A)|times_times_int(A,one_one_int)=A.
% 16.10/16.11 Following clause subsumed by 479 during input processing: 0 [] -is_int(A)|times_times_int(A,one_one_int)=A.
% 16.10/16.11 Following clause subsumed by 479 during input processing: 0 [] -is_int(A)|times_times_int(A,one_one_int)=A.
% 16.10/16.11 ** KEPT (pick-wt=7): 480 [] -is_int(A)|times_times_int(one_one_int,A)=A.
% 16.10/16.11 Following clause subsumed by 480 during input processing: 0 [] -is_int(A)|times_times_int(one_one_int,A)=A.
% 16.10/16.11 Following clause subsumed by 480 during input processing: 0 [] -is_int(A)|times_times_int(one_one_int,A)=A.
% 16.10/16.11 ** KEPT (pick-wt=16): 481 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,B)),plus_plus_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=16): 482 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=16): 483 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 16.10/16.11 ** KEPT (pick-wt=16): 484 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,B)),plus_plus_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=16): 485 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.10/16.11 ** KEPT (pick-wt=16): 486 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 16.10/16.12 ** KEPT (pick-wt=22): 487 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,C)),plus_plus_real(B,D))).
% 16.10/16.12 ** KEPT (pick-wt=22): 488 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 16.10/16.12 ** KEPT (pick-wt=22): 489 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 16.10/16.12 ** KEPT (pick-wt=16): 490 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C,A)),plus_plus_real(C,B))).
% 16.10/16.12 ** KEPT (pick-wt=16): 491 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 16.10/16.12 ** KEPT (pick-wt=16): 492 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 16.10/16.12 ** KEPT (pick-wt=16): 493 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,C)),plus_plus_real(B,C))).
% 16.10/16.12 ** KEPT (pick-wt=16): 494 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 16.10/16.12 ** KEPT (pick-wt=16): 495 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 16.10/16.12 Following clause subsumed by 481 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,B)),plus_plus_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.10/16.12 Following clause subsumed by 490 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,B)),plus_plus_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.10/16.12 Following clause subsumed by 482 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 Following clause subsumed by 491 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 Following clause subsumed by 483 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 16.10/16.12 Following clause subsumed by 492 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 16.10/16.12 Following clause subsumed by 484 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,B)),plus_plus_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 16.10/16.12 Following clause subsumed by 493 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(A,B)),plus_plus_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 16.10/16.12 Following clause subsumed by 485 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.10/16.12 Following clause subsumed by 494 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.10/16.12 Following clause subsumed by 486 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 16.10/16.12 Following clause subsumed by 495 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 16.10/16.12 ** KEPT (pick-wt=14): 496 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(A,C)),B)).
% 16.10/16.12 ** KEPT (pick-wt=22): 497 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(C,B)),minus_minus_nat(C,A))).
% 16.10/16.12 ** KEPT (pick-wt=14): 498 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=14): 499 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 498 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 499 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=14): 500 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=14): 501 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 500 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 501 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 480 during input processing: 0 [] -is_int(A)|times_times_int(one_one_int,A)=A.
% 16.10/16.12 Following clause subsumed by 479 during input processing: 0 [] -is_int(A)|times_times_int(A,one_one_int)=A.
% 16.10/16.12 ** KEPT (pick-wt=16): 502 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=13): 503 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 16.10/16.12 ** KEPT (pick-wt=19): 504 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A=B.
% 16.10/16.12 Following clause subsumed by 492 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 16.10/16.12 Following clause subsumed by 316 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 317 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=41): 505 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),E))|plus_plus_real(D,E)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(times_times_real(D,A),times_times_real(E,C))),B)).
% 16.10/16.12 ** KEPT (pick-wt=41): 506 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),E))|plus_plus_int(D,E)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(D,A),times_times_int(E,C))),B)).
% 16.10/16.12 ** KEPT (pick-wt=26): 507 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=26): 508 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=20): 509 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=20): 510 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=13): 511 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 512 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 513 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 514 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 515 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=13): 516 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=13): 517 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=13): 518 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=30): 519 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(C),B)),hAPP_nat_real(power_power_real(C),A))).
% 16.10/16.12 ** KEPT (pick-wt=30): 520 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(C),B)),hAPP_nat_nat(power_power_nat(C),A))).
% 16.10/16.12 ** KEPT (pick-wt=30): 521 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(C),B)),hAPP_nat_int(power_power_int(C),A))).
% 16.10/16.12 ** KEPT (pick-wt=24): 522 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 ** KEPT (pick-wt=24): 523 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 ** KEPT (pick-wt=24): 524 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 ** KEPT (pick-wt=24): 525 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 ** KEPT (pick-wt=24): 526 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 ** KEPT (pick-wt=24): 527 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 Following clause subsumed by 522 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 Following clause subsumed by 524 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 Following clause subsumed by 526 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.10/16.12 ** KEPT (pick-wt=17): 528 [] -is_int(A)|B!=nat(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|A=hAPP_nat_int(semiri1621563631at_int,B).
% 16.10/16.12 ** KEPT (pick-wt=15): 529 [] -is_int(A)|B!=nat(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|B=zero_zero_nat.
% 16.10/16.12 ** KEPT (pick-wt=15): 530 [] -is_int(A)|B=nat(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|B!=zero_zero_nat.
% 16.10/16.12 ** KEPT (pick-wt=17): 531 [] -is_int(A)|B=nat(A)|A!=hAPP_nat_int(semiri1621563631at_int,B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 532 [] -is_int(A)|B=nat(A)|A!=hAPP_nat_int(semiri1621563631at_int,B)|B!=zero_zero_nat.
% 16.10/16.12 ** KEPT (pick-wt=17): 533 [] -is_int(A)|nat(A)!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|A=hAPP_nat_int(semiri1621563631at_int,B).
% 16.10/16.12 ** KEPT (pick-wt=15): 534 [] -is_int(A)|nat(A)!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|B=zero_zero_nat.
% 16.10/16.12 ** KEPT (pick-wt=15): 535 [] -is_int(A)|nat(A)=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|B!=zero_zero_nat.
% 16.10/16.12 ** KEPT (pick-wt=17): 536 [] -is_int(A)|nat(A)=B|A!=hAPP_nat_int(semiri1621563631at_int,B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 537 [] -is_int(A)|nat(A)=B|A!=hAPP_nat_int(semiri1621563631at_int,B)|B!=zero_zero_nat.
% 16.10/16.12 ** KEPT (pick-wt=22): 539 [copy,538,flip.3] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|nat(plus_plus_int(A,B))=plus_plus_nat(nat(A),nat(B)).
% 16.10/16.12 Following clause subsumed by 539 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|nat(plus_plus_int(A,B))=plus_plus_nat(nat(A),nat(B)).
% 16.10/16.12 ** KEPT (pick-wt=11): 540 [] hAPP_nat_int(semiri1621563631at_int,A)!=number_number_of_int(B)|A=nat(number_number_of_int(B)).
% 16.10/16.12 ** KEPT (pick-wt=13): 541 [] hAPP_nat_int(semiri1621563631at_int,A)!=number_number_of_int(B)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(B))).
% 16.10/16.12 ** KEPT (pick-wt=18): 542 [] hAPP_nat_int(semiri1621563631at_int,A)=number_number_of_int(B)|A!=nat(number_number_of_int(B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(B))).
% 16.10/16.12 ** KEPT (pick-wt=17): 543 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_nat(power_power_nat(nat(A)),B)=nat(hAPP_nat_int(power_power_int(A),B)).
% 16.10/16.12 ** KEPT (pick-wt=17): 544 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|nat(hAPP_nat_int(power_power_int(A),B))=hAPP_nat_nat(power_power_nat(nat(A)),B).
% 16.10/16.12 ** KEPT (pick-wt=41): 545 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),E))|plus_plus_real(D,E)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(D,A),times_times_real(E,C))),B)).
% 16.10/16.12 ** KEPT (pick-wt=41): 546 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),E))|plus_plus_int(D,E)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(D,A),times_times_int(E,C))),B)).
% 16.10/16.12 ** KEPT (pick-wt=21): 547 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.12 ** KEPT (pick-wt=21): 548 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.12 ** KEPT (pick-wt=14): 549 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 550 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 551 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 552 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 553 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 16.10/16.12 ** KEPT (pick-wt=14): 554 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 16.10/16.12 ** KEPT (pick-wt=14): 555 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 16.10/16.12 ** KEPT (pick-wt=14): 556 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 16.10/16.12 ** KEPT (pick-wt=19): 557 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|times_times_real(hAPP_nat_real(power_power_real(B),minus_minus_nat(A,one_one_nat)),B)=hAPP_nat_real(power_power_real(B),A).
% 16.10/16.12 ** KEPT (pick-wt=19): 558 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|times_times_nat(hAPP_nat_nat(power_power_nat(B),minus_minus_nat(A,one_one_nat)),B)=hAPP_nat_nat(power_power_nat(B),A).
% 16.10/16.12 ** KEPT (pick-wt=19): 559 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|times_times_int(hAPP_nat_int(power_power_int(B),minus_minus_nat(A,one_one_nat)),B)=hAPP_nat_int(power_power_int(B),A).
% 16.10/16.12 ** KEPT (pick-wt=14): 560 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,minus_minus_real(A,B)),zero_zero_real)).
% 16.10/16.12 ** KEPT (pick-wt=14): 561 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,minus_minus_real(A,B)),zero_zero_real)).
% 16.10/16.12 ** KEPT (pick-wt=14): 562 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 16.10/16.12 ** KEPT (pick-wt=14): 563 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 16.10/16.12 ** KEPT (pick-wt=8): 564 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,A)),zero_zero_real)).
% 16.10/16.12 ** KEPT (pick-wt=8): 565 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,A)),zero_zero_int)).
% 16.10/16.12 ** KEPT (pick-wt=22): 566 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real)).
% 16.10/16.12 ** KEPT (pick-wt=22): 567 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A)).
% 16.10/16.12 ** KEPT (pick-wt=22): 568 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real)).
% 16.10/16.12 ** KEPT (pick-wt=22): 569 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A)).
% 16.10/16.12 ** KEPT (pick-wt=22): 570 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 16.10/16.12 ** KEPT (pick-wt=22): 571 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A)).
% 16.10/16.12 ** KEPT (pick-wt=22): 572 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)).
% 16.10/16.12 ** KEPT (pick-wt=22): 573 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 16.10/16.12 ** KEPT (pick-wt=22): 574 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)).
% 16.10/16.12 ** KEPT (pick-wt=22): 575 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 16.10/16.12 ** KEPT (pick-wt=22): 576 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 16.10/16.12 ** KEPT (pick-wt=22): 577 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 578 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 579 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 16.10/16.12 ** KEPT (pick-wt=20): 580 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(B,A)),B)).
% 16.10/16.12 ** KEPT (pick-wt=16): 581 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),minus_minus_nat(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),B)).
% 16.10/16.12 ** KEPT (pick-wt=16): 582 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),B)).
% 16.10/16.12 ** KEPT (pick-wt=13): 583 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 584 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 585 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=14): 586 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 585 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 586 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=13): 587 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 588 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 589 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=13): 590 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=20): 591 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 16.10/16.12 ** KEPT (pick-wt=22): 592 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C,A)),times_times_int(C,B))).
% 16.10/16.12 ** KEPT (pick-wt=20): 593 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(A,B))).
% 16.10/16.12 ** KEPT (pick-wt=22): 594 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 16.10/16.12 ** KEPT (pick-wt=19): 595 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,A))|hBOOL(hAPP_int_bool(B,hAPP_nat_int(semiri1621563631at_int,$f10(B)))).
% 16.10/16.12 ** KEPT (pick-wt=9): 596 [] is_int($f11(A))| -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.12 ** KEPT (pick-wt=13): 597 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f11(A)))| -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.12 ** KEPT (pick-wt=11): 598 [] hBOOL(hAPP_int_bool(A,$f11(A)))| -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.12 ** KEPT (pick-wt=11): 599 [] -hBOOL(hAPP_int_bool(A,$f12(A)))|hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 16.10/16.12 ** KEPT (pick-wt=19): 600 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,A))| -hBOOL(hAPP_int_bool(B,hAPP_nat_int(semiri1621563631at_int,$f13(B)))).
% 16.10/16.12 ** KEPT (pick-wt=15): 601 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A),B))).
% 16.10/16.12 ** KEPT (pick-wt=17): 603 [copy,602,flip.3] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|plus_plus_int(B,hAPP_nat_int(semiri1621563631at_int,$f14(B,A)))=A.
% 16.10/16.12 ** KEPT (pick-wt=15): 604 [] -is_int(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|A!=plus_plus_int(B,hAPP_nat_int(semiri1621563631at_int,C)).
% 16.10/16.12 ** KEPT (pick-wt=20): 605 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(B)),nat(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 16.10/16.12 ** KEPT (pick-wt=20): 606 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(B)),nat(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 16.10/16.12 ** KEPT (pick-wt=14): 607 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 16.10/16.12 ** KEPT (pick-wt=14): 608 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.12 Following clause subsumed by 606 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=15): 609 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),B)).
% 16.10/16.12 ** KEPT (pick-wt=15): 610 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),B)).
% 16.10/16.12 ** KEPT (pick-wt=16): 611 [] -hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 16.10/16.12 ** KEPT (pick-wt=15): 612 [] -hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))|B!=plus_plus_nat(C,D)|hBOOL(hAPP_nat_bool(A,D)).
% 16.10/16.12 ** KEPT (pick-wt=19): 613 [] hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))| -hBOOL(hAPP_nat_bool(A,$f15(A,B,C))).
% 16.10/16.12 ** KEPT (pick-wt=18): 615 [copy,614,flip.3] hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))|plus_plus_nat(C,$f15(A,B,C))=B.
% 16.10/16.12 ** KEPT (pick-wt=17): 616 [] hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,$f15(A,B,C))).
% 16.10/16.12 Following clause subsumed by 611 during input processing: 0 [] -hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 16.10/16.12 Following clause subsumed by 612 during input processing: 0 [] -hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))|B!=plus_plus_nat(C,D)|hBOOL(hAPP_nat_bool(A,D)).
% 16.10/16.12 ** KEPT (pick-wt=19): 617 [] hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))| -hBOOL(hAPP_nat_bool(A,$f16(A,B,C))).
% 16.10/16.12 ** KEPT (pick-wt=18): 619 [copy,618,flip.3] hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))|plus_plus_nat(C,$f16(A,B,C))=B.
% 16.10/16.12 ** KEPT (pick-wt=17): 620 [] hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,$f16(A,B,C))).
% 16.10/16.12 ** KEPT (pick-wt=10): 622 [copy,621,flip.1] number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=10): 624 [copy,623,flip.1] number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 Following clause subsumed by 622 during input processing: 0 [] number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 Following clause subsumed by 624 during input processing: 0 [] number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=13): 625 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 626 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 16.10/16.12 ** KEPT (pick-wt=13): 627 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=13): 628 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 16.10/16.12 ** KEPT (pick-wt=14): 629 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 ** KEPT (pick-wt=14): 630 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.10/16.12 Following clause subsumed by 629 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.12 Following clause subsumed by 630 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=14): 631 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=14): 632 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.12 Following clause subsumed by 631 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.12 Following clause subsumed by 632 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=18): 633 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|times_times_int(B,A)!=one_one_int|B=one_one_int.
% 16.22/16.12 ** KEPT (pick-wt=18): 634 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|times_times_int(B,A)!=one_one_int|A=one_one_int.
% 16.22/16.12 ** KEPT (pick-wt=21): 635 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|times_times_int(B,A)=one_one_int|B!=one_one_int|A!=one_one_int.
% 16.22/16.12 ** KEPT (pick-wt=12): 636 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 16.22/16.12 ** KEPT (pick-wt=12): 637 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 16.22/16.12 ** KEPT (pick-wt=11): 638 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int))|A=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=11): 639 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int))|A!=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=14): 640 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=14): 641 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=14): 642 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,one_one_int)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=14): 643 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,one_one_int)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.12 Following clause subsumed by 643 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,one_one_int)),B)).
% 16.22/16.12 ** KEPT (pick-wt=13): 644 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 16.22/16.12 ** KEPT (pick-wt=13): 645 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 16.22/16.12 ** KEPT (pick-wt=16): 646 [] -is_int(A)| -hBOOL(hAPP_nat_bool(B,nat(A)))|A!=hAPP_nat_int(semiri1621563631at_int,C)|hBOOL(hAPP_nat_bool(B,C)).
% 16.22/16.12 ** KEPT (pick-wt=17): 647 [] -is_int(A)| -hBOOL(hAPP_nat_bool(B,nat(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_nat_bool(B,zero_zero_nat)).
% 16.22/16.12 ** KEPT (pick-wt=20): 649 [copy,648,flip.3] -is_int(A)|hBOOL(hAPP_nat_bool(B,nat(A)))|hAPP_nat_int(semiri1621563631at_int,$f17(B,A))=A|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.22/16.12 ** KEPT (pick-wt=18): 651 [copy,650,flip.3] -is_int(A)|hBOOL(hAPP_nat_bool(B,nat(A)))|hAPP_nat_int(semiri1621563631at_int,$f17(B,A))=A| -hBOOL(hAPP_nat_bool(B,zero_zero_nat)).
% 16.22/16.12 ** KEPT (pick-wt=19): 652 [] -is_int(A)|hBOOL(hAPP_nat_bool(B,nat(A)))| -hBOOL(hAPP_nat_bool(B,$f17(B,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 16.22/16.12 ** KEPT (pick-wt=17): 653 [] -is_int(A)|hBOOL(hAPP_nat_bool(B,nat(A)))| -hBOOL(hAPP_nat_bool(B,$f17(B,A)))| -hBOOL(hAPP_nat_bool(B,zero_zero_nat)).
% 16.22/16.12 ** KEPT (pick-wt=14): 654 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,A))).
% 16.22/16.12 ** KEPT (pick-wt=26): 655 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(hAPP_nat_int(semiri1621563631at_int,C),A)),times_times_int(hAPP_nat_int(semiri1621563631at_int,C),B))).
% 16.22/16.12 ** KEPT (pick-wt=23): 656 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),number_number_of_int(bit0(bit1(pls)))))|A=zero_zero_int|A=one_one_int.
% 16.22/16.12 ** KEPT (pick-wt=21): 658 [copy,657,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|times_times_int(B,hAPP_nat_int(power_power_int(B),minus_minus_nat(nat(A),one_one_nat)))=hAPP_nat_int(power_power_int(B),nat(A)).
% 16.22/16.12 ** KEPT (pick-wt=25): 660 [copy,659,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|plus_plus_int(B,times_times_int(A,C))!=A| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),one_one_int)).
% 16.22/16.12 ** KEPT (pick-wt=25): 662 [copy,661,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|plus_plus_int(B,times_times_int(A,C))!=A| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),C)).
% 16.22/16.12 ** KEPT (pick-wt=28): 663 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(A,B),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 16.22/16.12 ** KEPT (pick-wt=28): 664 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 16.22/16.12 ** KEPT (pick-wt=18): 665 [] -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,zero_zero_nat))))).
% 16.22/16.12 ** KEPT (pick-wt=5): 666 [] t!=one_one_int|is_int($c4).
% 16.22/16.12 ** KEPT (pick-wt=5): 667 [] t!=one_one_int|is_int($c3).
% 16.22/16.12 ** KEPT (pick-wt=28): 668 [] t!=one_one_int|plus_plus_int(hAPP_nat_int(power_power_int($c4),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int($c3),number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int).
% 16.22/16.12 ** KEPT (pick-wt=9): 669 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=16): 670 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 16.22/16.12 ** KEPT (pick-wt=16): 671 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 16.22/16.12 ** KEPT (pick-wt=18): 672 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.22/16.12 ** KEPT (pick-wt=15): 673 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|A=B.
% 16.22/16.12 ** KEPT (pick-wt=22): 674 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 16.22/16.12 Following clause subsumed by 296 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A,B)),zero_zero_real)).
% 16.22/16.12 Following clause subsumed by 297 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,minus_minus_real(A,B)),zero_zero_real)).
% 16.22/16.12 Following clause subsumed by 405 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.22/16.12 Following clause subsumed by 670 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.22/16.12 Following clause subsumed by 402 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 Following clause subsumed by 671 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 Following clause subsumed by 404 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B,A)),times_times_real(C,A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.22/16.12 ** KEPT (pick-wt=22): 675 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(B,A)),times_times_real(C,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.22/16.12 Following clause subsumed by 401 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.22/16.12 Following clause subsumed by 429 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 16.22/16.12 ** KEPT (pick-wt=19): 677 [copy,676,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(B,A))=minus_minus_int(hAPP_nat_int(semiri1621563631at_int,B),hAPP_nat_int(semiri1621563631at_int,A)).
% 16.22/16.12 ** KEPT (pick-wt=7): 678 [] -is_int(A)|minus_minus_int(A,pls)=A.
% 16.22/16.12 Following clause subsumed by 468 during input processing: 0 [] times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=8): 679 [] times_times_nat(A,B)=zero_zero_nat|A!=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=8): 680 [] times_times_nat(A,B)=zero_zero_nat|B!=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=13): 681 [] times_times_nat(A,B)!=times_times_nat(A,C)|B=C|A=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=10): 682 [] times_times_nat(A,B)=times_times_nat(A,C)|B!=C.
% 16.22/16.12 ** KEPT (pick-wt=10): 683 [] times_times_nat(A,B)=times_times_nat(A,C)|A!=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=13): 684 [] times_times_nat(A,B)!=times_times_nat(C,B)|A=C|B=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=10): 685 [] times_times_nat(A,B)=times_times_nat(C,B)|A!=C.
% 16.22/16.12 ** KEPT (pick-wt=10): 686 [] times_times_nat(A,B)=times_times_nat(C,B)|B!=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=9): 687 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A=zero_zero_nat.
% 16.22/16.12 Following clause subsumed by 669 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 16.22/16.12 ** KEPT (pick-wt=13): 688 [] A=zero_zero_real|times_times_real(A,B)!=times_times_real(A,C)|B=C.
% 16.22/16.12 ** KEPT (pick-wt=13): 689 [] A=zero_zero_real|times_times_real(A,B)=times_times_real(A,C)|B!=C.
% 16.22/16.12 ** KEPT (pick-wt=13): 690 [] A=zero_zero_real|times_times_real(B,A)!=times_times_real(C,A)|B=C.
% 16.22/16.12 ** KEPT (pick-wt=13): 691 [] A=zero_zero_real|times_times_real(B,A)=times_times_real(C,A)|B!=C.
% 16.22/16.12 ** KEPT (pick-wt=12): 692 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.12 Following clause subsumed by 669 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=15): 693 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.22/16.12 Following clause subsumed by 692 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.12 Following clause subsumed by 693 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 16.22/16.12 Following clause subsumed by 692 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 16.22/16.12 Following clause subsumed by 669 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=B.
% 16.22/16.12 Following clause subsumed by 692 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.12 Following clause subsumed by 161 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 16.22/16.12 Following clause subsumed by 693 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A=B.
% 16.22/16.12 ** KEPT (pick-wt=12): 694 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=9): 695 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 16.22/16.12 ** KEPT (pick-wt=15): 696 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A=B.
% 16.22/16.12 Following clause subsumed by 696 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 16.22/16.12 Following clause subsumed by 694 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 16.22/16.12 ** KEPT (pick-wt=9): 697 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A!=B.
% 16.22/16.12 ** KEPT (pick-wt=14): 698 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.22/16.12 ** KEPT (pick-wt=14): 699 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 Following clause subsumed by 698 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 16.22/16.12 Following clause subsumed by 699 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 Following clause subsumed by 488 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 16.22/16.12 Following clause subsumed by 494 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 16.22/16.12 ** KEPT (pick-wt=14): 700 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),plus_plus_nat(C,B))).
% 16.22/16.12 ** KEPT (pick-wt=14): 701 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),plus_plus_nat(B,C))).
% 16.22/16.12 Following clause subsumed by 482 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 Following clause subsumed by 491 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 ** KEPT (pick-wt=13): 703 [copy,702,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(A,$f18(A,B))=B.
% 16.22/16.12 ** KEPT (pick-wt=11): 704 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B!=plus_plus_nat(A,C).
% 16.22/16.12 ** KEPT (pick-wt=8): 705 [] times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 16.22/16.12 ** KEPT (pick-wt=8): 706 [] times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 16.22/16.12 ** KEPT (pick-wt=11): 707 [] times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 16.22/16.12 Following clause subsumed by 705 during input processing: 0 [] times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 16.22/16.12 Following clause subsumed by 706 during input processing: 0 [] times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 16.22/16.12 Following clause subsumed by 707 during input processing: 0 [] times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 16.22/16.12 Following clause subsumed by 705 during input processing: 0 [flip.1] times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 16.22/16.12 Following clause subsumed by 706 during input processing: 0 [flip.1] times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 16.22/16.12 Following clause subsumed by 707 during input processing: 0 [flip.1] times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 16.22/16.12 ** KEPT (pick-wt=28): 708 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(B,A)),minus_minus_nat(C,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 ** KEPT (pick-wt=28): 709 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(B,A)),minus_minus_nat(C,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.12 ** KEPT (pick-wt=23): 710 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|minus_minus_nat(minus_minus_nat(B,A),minus_minus_nat(C,A))=minus_minus_nat(B,C).
% 16.22/16.12 ** KEPT (pick-wt=22): 711 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|minus_minus_nat(B,A)!=minus_minus_nat(C,A)|B=C.
% 16.22/16.12 ** KEPT (pick-wt=22): 712 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|minus_minus_nat(B,A)=minus_minus_nat(C,A)|B!=C.
% 16.22/16.12 ** KEPT (pick-wt=13): 713 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(B,minus_minus_nat(B,A))=A.
% 16.22/16.12 ** KEPT (pick-wt=16): 714 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(A,C)),minus_minus_nat(B,C))).
% 16.22/16.12 ** KEPT (pick-wt=16): 715 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(C,B)),minus_minus_nat(C,A))).
% 16.22/16.12 Following clause subsumed by 490 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,plus_plus_real(C,A)),plus_plus_real(C,B))).
% 16.22/16.12 ** KEPT (pick-wt=27): 716 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=minus_minus_int(B,one_one_int)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),minus_minus_int(B,one_one_int))).
% 16.22/16.12 Following clause subsumed by 562 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 16.22/16.12 Following clause subsumed by 563 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 16.22/16.12 ** KEPT (pick-wt=22): 717 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 16.22/16.12 ** KEPT (pick-wt=22): 718 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 16.22/16.12 ** KEPT (pick-wt=16): 719 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 16.22/16.12 ** KEPT (pick-wt=16): 720 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.22/16.13 Following clause subsumed by 718 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=16): 721 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.22/16.13 ** KEPT (pick-wt=16): 722 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.22/16.13 Following clause subsumed by 717 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=14): 723 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 16.22/16.13 ** KEPT (pick-wt=14): 724 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 16.22/16.13 ** KEPT (pick-wt=20): 725 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 16.22/16.13 ** KEPT (pick-wt=11): 726 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(A,A)))|A!=zero_zero_real.
% 16.22/16.13 ** KEPT (pick-wt=22): 727 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),times_times_real(A,C))).
% 16.22/16.13 ** KEPT (pick-wt=20): 728 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(A,B))).
% 16.22/16.13 ** KEPT (pick-wt=22): 729 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(B,A)),times_times_real(C,A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.22/16.13 Following clause subsumed by 570 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(B,A)),times_times_real(C,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=11): 731 [copy,730,flip.1] times_times_nat(A,B)!=A|B=one_one_nat|A=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=11): 732 [] minus_minus_nat(A,B)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=11): 733 [] minus_minus_nat(A,B)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 Following clause subsumed by 733 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(A,B)=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=12): 734 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))!=zero_zero_real|A=zero_zero_real.
% 16.22/16.13 ** KEPT (pick-wt=12): 735 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))!=zero_zero_real|B=zero_zero_real.
% 16.22/16.13 ** KEPT (pick-wt=15): 736 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 16.22/16.13 ** KEPT (pick-wt=22): 737 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(A,C)),minus_minus_nat(B,C))).
% 16.22/16.13 ** KEPT (pick-wt=28): 738 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(B,A)),minus_minus_nat(C,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.22/16.13 Following clause subsumed by 737 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(B,A)),minus_minus_nat(C,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=17): 739 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(C,minus_minus_nat(B,A))=minus_minus_nat(plus_plus_nat(C,A),B).
% 16.22/16.13 ** KEPT (pick-wt=16): 740 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),plus_plus_nat(C,B))).
% 16.22/16.13 ** KEPT (pick-wt=16): 741 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(A,B)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),plus_plus_nat(C,B))).
% 16.22/16.13 ** KEPT (pick-wt=16): 742 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),minus_minus_nat(plus_plus_nat(B,C),A))).
% 16.22/16.13 ** KEPT (pick-wt=13): 743 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(A,minus_minus_nat(B,A))=B.
% 16.22/16.13 ** KEPT (pick-wt=17): 744 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(C,minus_minus_nat(B,A))=minus_minus_nat(plus_plus_nat(C,B),A).
% 16.22/16.13 ** KEPT (pick-wt=22): 745 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),minus_minus_nat(B,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C,A)),B)).
% 16.22/16.13 ** KEPT (pick-wt=22): 746 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),minus_minus_nat(B,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C,A)),B)).
% 16.22/16.13 ** KEPT (pick-wt=13): 747 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(minus_minus_nat(B,A),A)=B.
% 16.22/16.13 ** KEPT (pick-wt=16): 748 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(B,A)!=C|B=plus_plus_nat(C,A).
% 16.22/16.13 ** KEPT (pick-wt=16): 749 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(B,A)=C|B!=plus_plus_nat(C,A).
% 16.22/16.13 Following clause subsumed by 744 during input processing: 0 [flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(C,minus_minus_nat(B,A))=minus_minus_nat(plus_plus_nat(C,B),A).
% 16.22/16.13 ** KEPT (pick-wt=17): 750 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(minus_minus_nat(B,A),C)=minus_minus_nat(plus_plus_nat(B,C),A).
% 16.22/16.13 Following clause subsumed by 750 during input processing: 0 [flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|plus_plus_nat(minus_minus_nat(B,A),C)=minus_minus_nat(plus_plus_nat(B,C),A).
% 16.22/16.13 Following clause subsumed by 324 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 Following clause subsumed by 325 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 Following clause subsumed by 324 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 Following clause subsumed by 325 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=14): 751 [] -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,A))| -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,B))|hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(A,B))).
% 16.22/16.13 ** KEPT (pick-wt=14): 752 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=14): 753 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=20): 754 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.22/16.13 ** KEPT (pick-wt=14): 755 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=14): 756 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 16.22/16.13 ** KEPT (pick-wt=26): 757 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=26): 758 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(A)),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=22): 759 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|nat(minus_minus_int(B,A))=minus_minus_nat(nat(B),nat(A)).
% 16.22/16.13 ** KEPT (pick-wt=16): 760 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|nat(times_times_int(A,B))=times_times_nat(nat(A),nat(B)).
% 16.22/16.13 Following clause subsumed by 760 during input processing: 0 [flip.3] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|nat(times_times_int(A,B))=times_times_nat(nat(A),nat(B)).
% 16.22/16.13 Following clause subsumed by 679 during input processing: 0 [] A!=zero_zero_nat|times_times_nat(A,B)=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=20): 761 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=20): 762 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(A)),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=20): 763 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(B)),nat(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 16.22/16.13 ** KEPT (pick-wt=20): 764 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,nat(B)),nat(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 16.22/16.13 Following clause subsumed by 240 during input processing: 0 [] A!=zero_zero_nat|hAPP_nat_nat(power_power_nat(B),A)=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=15): 765 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|times_times_nat(number_number_of_nat(A),times_times_nat(number_number_of_nat(B),C))=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=13): 766 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|times_times_nat(number_number_of_nat(A),number_number_of_nat(B))=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=24): 767 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=51): 768 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,E),F)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(D,E),F)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),F))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,E),B)).
% 16.22/16.13 ** KEPT (pick-wt=38): 769 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(A,D),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,E),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),E))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),B)).
% 16.22/16.13 ** KEPT (pick-wt=51): 770 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,E),F)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(D,E),F)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,F),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),E)).
% 16.22/16.13 ** KEPT (pick-wt=38): 771 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(A,D),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,E),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),D)).
% 16.22/16.13 ** KEPT (pick-wt=24): 772 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),A))|minus_minus_nat(nat(A),number_number_of_nat(bit0(bit1(pls))))=nat(minus_minus_int(A,number_number_of_int(bit0(bit1(pls))))).
% 16.22/16.13 ** KEPT (pick-wt=21): 773 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(minus_minus_int(A,number_number_of_int(bit0(bit1(pls))))))).
% 16.22/16.13 ** KEPT (pick-wt=18): 774 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=15): 775 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|A=B.
% 16.22/16.13 ** KEPT (pick-wt=12): 776 [] -is_int(A)|minus_minus_int(A,B)!=C|A=plus_plus_int(C,B).
% 16.22/16.13 ** KEPT (pick-wt=20): 777 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),minus_minus_int(B,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=24): 778 [] -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),times_times_int(B,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=18): 779 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=19): 780 [] -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(power_power_int(B),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=18): 781 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 16.22/16.13 ** KEPT (pick-wt=21): 782 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(A,B)),times_times_int(A,C)))|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=31): 783 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|B=A.
% 16.22/16.13 ** KEPT (pick-wt=16): 784 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),plus_plus_int(B,times_times_int(A,C))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=16): 785 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),plus_plus_int(B,times_times_int(A,C))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=26): 786 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),plus_plus_int(C,D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),plus_plus_int(plus_plus_int(C,times_times_int(E,B)),D))).
% 16.22/16.13 ** KEPT (pick-wt=26): 787 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),plus_plus_int(C,D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),plus_plus_int(plus_plus_int(C,times_times_int(E,B)),D))).
% 16.22/16.13 ** KEPT (pick-wt=13): 788 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 789 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 790 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=13): 791 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=6): 792 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 16.22/16.13 ** KEPT (pick-wt=13): 793 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 794 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 795 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit1(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 796 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit1(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 797 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=13): 798 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=6): 799 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 16.22/16.13 ** KEPT (pick-wt=13): 800 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=13): 801 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=5): 802 [] number_number_of_int(pls)!=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=6): 803 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 16.22/16.13 ** KEPT (pick-wt=4): 805 [copy,804,flip.1] bit0(A)!=min.
% 16.22/16.13 Following clause subsumed by 805 during input processing: 0 [] bit0(A)!=min.
% 16.22/16.13 ** KEPT (pick-wt=3): 807 [copy,806,flip.1] pls!=min.
% 16.22/16.13 Following clause subsumed by 807 during input processing: 0 [] pls!=min.
% 16.22/16.13 ** KEPT (pick-wt=9): 809 [copy,808,flip.2] -is_int(A)|bit1(A)!=min|min=A.
% 16.22/16.13 ** KEPT (pick-wt=9): 811 [copy,810,flip.2] -is_int(A)|bit1(A)=min|min!=A.
% 16.22/16.13 ** KEPT (pick-wt=9): 812 [] -is_int(A)|bit1(A)!=min|A=min.
% 16.22/16.13 ** KEPT (pick-wt=9): 813 [] -is_int(A)|bit1(A)=min|A!=min.
% 16.22/16.13 ** KEPT (pick-wt=18): 814 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=21): 815 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),hAPP_nat_int(power_power_int(C),A))).
% 16.22/16.13 ** KEPT (pick-wt=13): 816 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit0(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 817 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),bit0(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),A)).
% 16.22/16.13 ** KEPT (pick-wt=13): 818 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=13): 819 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),min)).
% 16.22/16.13 ** KEPT (pick-wt=16): 820 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|A=one_one_int|A=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=16): 821 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|A=one_one_int|B=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=16): 822 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|B=one_one_int|A=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=16): 823 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|B=one_one_int|B=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=15): 824 [] -is_int(A)| -is_int(B)|times_times_int(A,B)=one_one_int|A!=one_one_int|B!=one_one_int.
% 16.22/16.13 ** KEPT (pick-wt=17): 825 [] -is_int(A)| -is_int(B)|times_times_int(A,B)=one_one_int|A!=number_number_of_int(min)|B!=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=14): 826 [] -is_int(A)|times_times_int(A,B)!=one_one_int|A=one_one_int|A=number_number_of_int(min).
% 16.22/16.13 ** KEPT (pick-wt=30): 827 [] -hBOOL(hAPP_int_bool(zprime,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A),C)),times_times_int(D,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A),C)),D)).
% 16.22/16.13 ** KEPT (pick-wt=30): 828 [] -hBOOL(hAPP_int_bool(zprime,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A),C)),times_times_int(B,D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A),C)),D)).
% 16.22/16.13 Following clause subsumed by 780 during input processing: 0 [] -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(power_power_int(B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=28): 829 [] hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min)))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))!=one_one_int.
% 16.22/16.13 ** KEPT (pick-wt=16): 830 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 16.22/16.13 ** KEPT (pick-wt=16): 831 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 16.22/16.13 ** KEPT (pick-wt=20): 832 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),minus_minus_nat(B,C))).
% 16.22/16.13 ** KEPT (pick-wt=12): 833 [] -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 16.22/16.13 ** KEPT (pick-wt=12): 834 [] hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 16.22/16.13 Following clause subsumed by 833 during input processing: 0 [] -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 16.22/16.13 Following clause subsumed by 834 during input processing: 0 [] hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 16.22/16.13 ** KEPT (pick-wt=18): 835 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 16.22/16.13 ** KEPT (pick-wt=15): 836 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|B=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=19): 837 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),times_times_nat(C,B)))|B=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=13): 838 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),times_times_nat(C,B)))|B!=zero_zero_nat.
% 16.22/16.13 Following clause subsumed by 830 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=26): 839 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=26): 840 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=21): 841 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(C),B)))|B=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=18): 842 [] A=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(B),A)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=16): 843 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=16): 844 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.13 Following clause subsumed by 844 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 16.22/16.13 Following clause subsumed by 843 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 16.22/16.13 ** KEPT (pick-wt=18): 845 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),C)),hAPP_nat_nat(power_power_nat(B),C))).
% 16.22/16.13 ** KEPT (pick-wt=9): 846 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=9): 847 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A!=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=14): 848 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),plus_plus_nat(B,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=14): 849 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),plus_plus_nat(B,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=20): 850 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),plus_plus_nat(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=16): 851 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,D),plus_plus_int(B,D)),C)).
% 16.22/16.13 ** KEPT (pick-wt=21): 852 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|B!=D| -hBOOL(hAPP_int_bool(zcong(D,E),C))|hBOOL(hAPP_int_bool(zcong(A,E),C)).
% 16.22/16.13 ** KEPT (pick-wt=18): 853 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(A),D),hAPP_nat_int(power_power_int(B),D)),C)).
% 16.22/16.13 ** KEPT (pick-wt=43): 854 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(zcong(B,A),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|B=A.
% 16.22/16.13 ** KEPT (pick-wt=18): 855 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B)).
% 16.22/16.13 ** KEPT (pick-wt=22): 856 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(D,times_times_int(A,E)),C))|hBOOL(hAPP_int_bool(zcong(D,times_times_int(B,E)),C)).
% 16.22/16.13 ** KEPT (pick-wt=22): 857 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(D,times_times_int(A,E)),C))| -hBOOL(hAPP_int_bool(zcong(D,times_times_int(B,E)),C)).
% 16.22/16.13 ** KEPT (pick-wt=22): 858 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(D,times_times_int(E,A)),C))|hBOOL(hAPP_int_bool(zcong(D,times_times_int(E,B)),C)).
% 16.22/16.13 ** KEPT (pick-wt=22): 859 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(D,times_times_int(E,A)),C))| -hBOOL(hAPP_int_bool(zcong(D,times_times_int(E,B)),C)).
% 16.22/16.13 ** KEPT (pick-wt=23): 860 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|A=zero_zero_int.
% 16.22/16.13 ** KEPT (pick-wt=24): 861 [] -hBOOL(hAPP_int_bool(zprime,A))|hBOOL(hAPP_int_bool(zcong(B,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(C,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zcong(times_times_int(B,C),zero_zero_int),A)).
% 16.22/16.13 ** KEPT (pick-wt=18): 862 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=22): 863 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 16.22/16.13 Following clause subsumed by 861 during input processing: 0 [] -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(zcong(times_times_int(B,C),zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(B,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(C,zero_zero_int),A)).
% 16.22/16.13 Following clause subsumed by 861 during input processing: 0 [] -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(zcong(B,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(C,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zcong(times_times_int(B,C),zero_zero_int),A)).
% 16.22/16.13 ** KEPT (pick-wt=25): 864 [] A!=plus_plus_nat(times_times_nat(B,C),D)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=17): 865 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),A))|B=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=17): 866 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),A))|B!=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=17): 867 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(B,A)),A))|B=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=17): 868 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(B,A)),A))|B!=one_one_nat.
% 16.22/16.13 ** KEPT (pick-wt=26): 869 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=26): 870 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 16.22/16.13 ** KEPT (pick-wt=24): 871 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=21): 872 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(semiri1621563631at_int,B))).
% 16.22/16.13 ** KEPT (pick-wt=16): 873 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|B=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=16): 874 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|B!=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=21): 875 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 16.22/16.13 ** KEPT (pick-wt=18): 876 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(semiri1621563631at_int,B)))|B!=zero_zero_nat.
% 16.22/16.13 ** KEPT (pick-wt=22): 877 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),A))| -hBOOL(hAPP_int_bool(zcong(B,number_number_of_int(min)),A))| -hBOOL(hAPP_int_bool(zcong(B,one_one_int),A)).
% 16.22/16.13 ** KEPT (pick-wt=24): 878 [] hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))| -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(C),number_number_of_nat(bit0(bit1(pls)))),A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 16.22/16.13 ** KEPT (pick-wt=23): 879 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|B=zero_zero_nat|B=A|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(number_number_of_nat(bit0(bit1(pls))),A)),B)).
% 16.22/16.13 ** KEPT (pick-wt=26): 880 [] -hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),A),one_one_int)))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),A),one_one_int))=one_one_int.
% 16.22/16.13 ** KEPT (pick-wt=39): 881 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))| -hBOOL(hAPP_int_bool(zcong(s1,A),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))|A=$c7.
% 16.22/16.13 ** KEPT (pick-wt=30): 882 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=30): 883 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=24): 884 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=24): 885 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=21): 886 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=21): 887 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=C| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=15): 888 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=A.
% 16.22/16.13 ** KEPT (pick-wt=15): 889 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A!=B.
% 16.22/16.13 Following clause subsumed by 889 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A!=B.
% 16.22/16.13 ** KEPT (pick-wt=24): 890 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 Following clause subsumed by 885 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=21): 891 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=21): 892 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 16.22/16.13 ** KEPT (pick-wt=18): 893 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=15): 894 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 16.22/16.13 ** KEPT (pick-wt=15): 895 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|B!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 ** KEPT (pick-wt=15): 896 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B=A.
% 16.22/16.13 Following clause subsumed by 888 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=A.
% 16.22/16.13 ** KEPT (pick-wt=9): 897 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 16.22/16.13 Following clause subsumed by 889 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A!=B.
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B=A.
% 16.22/16.13 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 16.22/16.13 Following clause subsumed by 897 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 16.22/16.13 Following clause subsumed by 897 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 16.22/16.14 ** KEPT (pick-wt=9): 898 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 16.22/16.14 Following clause subsumed by 894 during input processing: 0 [] A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 16.22/16.14 Following clause subsumed by 894 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 16.22/16.14 Following clause subsumed by 897 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 16.22/16.14 Following clause subsumed by 898 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|B!=A.
% 16.22/16.14 ** KEPT (pick-wt=34): 899 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),A))| -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),B),hAPP_nat_int(power_power_int(number_number_of_int(min)),C)),A))|hAPP_nat_int(power_power_int(number_number_of_int(min)),B)=hAPP_nat_int(power_power_int(number_number_of_int(min)),C).
% 16.22/16.14 ** KEPT (pick-wt=16): 900 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),A))| -hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),A)).
% 16.22/16.14 ** KEPT (pick-wt=11): 901 [] -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|legendre(A,B)=zero_zero_int.
% 16.22/16.14 ** KEPT (pick-wt=16): 902 [] hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))| -hBOOL(hAPP_int_bool(quadRes(B),A))|legendre(A,B)=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=9): 903 [] -hBOOL(hAPP_int_bool(quadRes(A),B))|is_int($f19(A,B)).
% 16.22/16.14 ** KEPT (pick-wt=19): 904 [] -hBOOL(hAPP_int_bool(quadRes(A),B))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int($f19(A,B)),number_number_of_nat(bit0(bit1(pls)))),B),A)).
% 16.22/16.14 ** KEPT (pick-wt=19): 905 [] hBOOL(hAPP_int_bool(quadRes(A),B))| -is_int(C)| -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(C),number_number_of_nat(bit0(bit1(pls)))),B),A)).
% 16.22/16.14 ** KEPT (pick-wt=22): 906 [] -hBOOL(hAPP_int_bool(zprime,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(B),nat(minus_minus_int(A,one_one_int))),one_one_int),A)).
% 16.22/16.14 ** KEPT (pick-wt=34): 907 [] -is_int(A)| -hBOOL(hAPP_int_bool(zprime,B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),B))|A=one_one_int|A=minus_minus_int(B,one_one_int).
% 16.22/16.14 ** KEPT (pick-wt=18): 908 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(B,D),C))|hBOOL(hAPP_int_bool(zcong(A,D),C)).
% 16.22/16.14 ** KEPT (pick-wt=12): 909 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(B,A),C)).
% 16.22/16.14 Following clause subsumed by 909 during input processing: 0 [] hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(B,A),C)).
% 16.22/16.14 ** KEPT (pick-wt=13): 910 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(zcong(A,B),zero_zero_int))|A=B.
% 16.22/16.14 ** KEPT (pick-wt=13): 911 [] -is_int(A)| -is_int(B)|hBOOL(hAPP_int_bool(zcong(A,B),zero_zero_int))|A!=B.
% 16.22/16.14 ** KEPT (pick-wt=16): 912 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(times_times_int(A,D),times_times_int(B,D)),C)).
% 16.22/16.14 ** KEPT (pick-wt=16): 913 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(zcong(times_times_int(D,A),times_times_int(D,B)),C)).
% 16.22/16.14 ** KEPT (pick-wt=22): 914 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(D,E),C))|hBOOL(hAPP_int_bool(zcong(times_times_int(A,D),times_times_int(B,E)),C)).
% 16.22/16.14 ** KEPT (pick-wt=22): 915 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(D,E),C))|hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,D),plus_plus_int(B,E)),C)).
% 16.22/16.14 ** KEPT (pick-wt=22): 916 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(D,E),C))|hBOOL(hAPP_int_bool(zcong(minus_minus_int(A,D),minus_minus_int(B,E)),C)).
% 16.22/16.14 ** KEPT (pick-wt=30): 917 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(zcong(A,C),B)).
% 16.22/16.14 ** KEPT (pick-wt=13): 918 [] -is_int(A)| -hBOOL(hAPP_int_bool(zcong(B,A),C))|is_int($f20(B,A,C)).
% 16.22/16.14 ** KEPT (pick-wt=18): 920 [copy,919,flip.3] -is_int(A)| -hBOOL(hAPP_int_bool(zcong(B,A),C))|plus_plus_int(B,times_times_int(C,$f20(B,A,C)))=A.
% 16.22/16.14 ** KEPT (pick-wt=17): 921 [] -is_int(A)|hBOOL(hAPP_int_bool(zcong(B,A),C))| -is_int(D)|A!=plus_plus_int(B,times_times_int(C,D)).
% 16.22/16.14 ** KEPT (pick-wt=14): 922 [] -hBOOL(hAPP_int_bool(zcong(A,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C),minus_minus_int(A,B))).
% 16.22/16.14 ** KEPT (pick-wt=14): 923 [] hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C),minus_minus_int(A,B))).
% 16.22/16.14 Following clause subsumed by 752 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 16.22/16.14 Following clause subsumed by 860 during input processing: 0 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|A=zero_zero_int.
% 16.22/16.14 ** KEPT (pick-wt=37): 924 [] -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))| -hBOOL(hAPP_int_bool(zcong(B,A),C))|B=A.
% 16.22/16.14 Following clause subsumed by 778 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zprime,B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 16.22/16.14 ** KEPT (pick-wt=12): 925 [] -is_int(A)| -hBOOL(hAPP_int_bool(zprime,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)).
% 16.22/16.14 ** KEPT (pick-wt=26): 926 [] -is_int(A)| -hBOOL(hAPP_int_bool(zprime,A))| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))|B=one_one_int|B=A.
% 16.22/16.14 ** KEPT (pick-wt=15): 927 [] -is_int(A)|hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|is_int($f21(A)).
% 16.22/16.14 ** KEPT (pick-wt=19): 928 [] -is_int(A)|hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f21(A))).
% 16.22/16.14 ** KEPT (pick-wt=19): 929 [] -is_int(A)|hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f21(A)),A)).
% 16.22/16.14 ** KEPT (pick-wt=16): 930 [] -is_int(A)|hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|$f21(A)!=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=16): 931 [] -is_int(A)|hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|$f21(A)!=A.
% 16.22/16.14 ** KEPT (pick-wt=32): 932 [] -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(zcong(times_times_int(B,B),one_one_int),A))|hBOOL(hAPP_int_bool(zcong(B,one_one_int),A))|hBOOL(hAPP_int_bool(zcong(B,minus_minus_int(A,one_one_int)),A)).
% 16.22/16.14 ** KEPT (pick-wt=24): 933 [] -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(B,C))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B))|hBOOL(hAPP_int_bool(A,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,B),hAPP_nat_int(semiri1621563631at_int,C)))).
% 16.22/16.14 ** KEPT (pick-wt=18): 934 [] -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(B,C))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_int_bool(A,zero_zero_int)).
% 16.22/16.14 ** KEPT (pick-wt=18): 935 [] hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(B,C))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B))| -hBOOL(hAPP_int_bool(A,zero_zero_int)).
% 16.22/16.14 ** KEPT (pick-wt=24): 936 [] hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(B,C))))| -hBOOL(hAPP_int_bool(A,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,B),hAPP_nat_int(semiri1621563631at_int,C))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 16.22/16.14 ** KEPT (pick-wt=22): 937 [] hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(B,C))))| -hBOOL(hAPP_int_bool(A,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,B),hAPP_nat_int(semiri1621563631at_int,C))))| -hBOOL(hAPP_int_bool(A,zero_zero_int)).
% 16.22/16.14 ** KEPT (pick-wt=28): 938 [] -is_int(A)| -hBOOL(hAPP_int_bool(zprime,A))|A=number_number_of_int(bit0(bit1(pls)))|A=number_number_of_int(bit1(bit1(pls)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(bit1(bit0(bit1(pls))))),A)).
% 16.22/16.14 ** KEPT (pick-wt=21): 939 [] -is_int(A)|A=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(A,B)),times_times_int(A,C))).
% 16.22/16.14 Following clause subsumed by 782 during input processing: 0 [] -is_int(A)|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(A,B)),times_times_int(A,C))).
% 16.22/16.14 ** KEPT (pick-wt=18): 940 [] -hBOOL(hAPP_int_bool(zcong(times_times_int(A,minus_minus_int(B,one_one_int)),one_one_int),B))|hBOOL(hAPP_int_bool(zcong(A,minus_minus_int(B,one_one_int)),B)).
% 16.22/16.14 ** KEPT (pick-wt=18): 941 [] hBOOL(hAPP_int_bool(zcong(times_times_int(A,minus_minus_int(B,one_one_int)),one_one_int),B))| -hBOOL(hAPP_int_bool(zcong(A,minus_minus_int(B,one_one_int)),B)).
% 16.22/16.14 ** KEPT (pick-wt=20): 942 [] -hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(A),B),one_one_int),C))|hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(A),times_times_nat(B,D)),one_one_int),C)).
% 16.22/16.14 ** KEPT (pick-wt=15): 943 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(A)))).
% 16.22/16.14 ** KEPT (pick-wt=15): 944 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(A)))).
% 16.22/16.14 ** KEPT (pick-wt=19): 945 [] -is_int(A)|A=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(B)),abs_abs_int(A))).
% 16.22/16.14 ** KEPT (pick-wt=17): 946 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))|abs_abs_int(A)=abs_abs_int(B).
% 16.22/16.14 ** KEPT (pick-wt=10): 947 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),one_one_int))|abs_abs_int(A)=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=10): 948 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),one_one_int))|abs_abs_int(A)!=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=10): 949 [] abs_abs_int(times_times_int(A,B))!=one_one_int|abs_abs_int(A)=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=12): 950 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),one_one_int))|A=zero_zero_int.
% 16.22/16.14 ** KEPT (pick-wt=12): 951 [] -is_int(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),one_one_int))|A!=zero_zero_int.
% 16.22/16.14 ** KEPT (pick-wt=13): 952 [] -is_int(A)|abs_abs_int(A)!=one_one_int|A=one_one_int|A=number_number_of_int(min).
% 16.22/16.14 ** KEPT (pick-wt=9): 953 [] -is_int(A)|abs_abs_int(A)=one_one_int|A!=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=10): 954 [] -is_int(A)|abs_abs_int(A)=one_one_int|A!=number_number_of_int(min).
% 16.22/16.14 ** KEPT (pick-wt=18): 955 [] -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(A)),B)))|A!=zero_zero_int|B=zero_zero_nat.
% 16.22/16.14 ** KEPT (pick-wt=15): 956 [] -is_int(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(A)),B)))|A=zero_zero_int.
% 16.22/16.14 ** KEPT (pick-wt=15): 957 [] -is_int(A)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(A)),B)))|B!=zero_zero_nat.
% 16.22/16.14 ** KEPT (pick-wt=17): 958 [] -is_int(A)|A=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(A,B)),A))|abs_abs_int(B)=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=17): 959 [] -is_int(A)|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(A,B)),A))|abs_abs_int(B)!=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=16): 960 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),nat(abs_abs_int(B)))).
% 16.22/16.14 ** KEPT (pick-wt=16): 961 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),nat(abs_abs_int(B)))).
% 16.22/16.14 ** KEPT (pick-wt=16): 962 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(abs_abs_int(A))),B)).
% 16.22/16.14 ** KEPT (pick-wt=16): 963 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(abs_abs_int(A))),B)).
% 16.22/16.14 ** KEPT (pick-wt=20): 964 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))|abs_abs_int(A)=abs_abs_int(B).
% 16.22/16.14 ** KEPT (pick-wt=20): 965 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))|abs_abs_int(A)!=abs_abs_int(B).
% 16.22/16.14 ** KEPT (pick-wt=13): 966 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))!=one_one_int|abs_abs_int(A)=one_one_int.
% 16.22/16.14 ** KEPT (pick-wt=21): 967 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),plus_plus_int(C,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(C,B)),one_one_int),A)))).
% 16.22/16.14 ** KEPT (pick-wt=21): 968 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(B,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(B,C)),one_one_int),A))),C)).
% 16.22/16.14 ** KEPT (pick-wt=10): 969 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|is_int($f22(B,A)).
% 16.22/16.14 ** KEPT (pick-wt=24): 970 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(minus_minus_int(B,times_times_int($f22(B,A),A))))),A)).
% 16.22/16.14 ** KEPT (pick-wt=29): 971 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|is_int($f23(B,C,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(C,D))|hBOOL(hAPP_int_bool(C,minus_minus_int(D,times_times_int(B,A)))).
% 16.22/16.14 ** KEPT (pick-wt=31): 972 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f23(C,B,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,minus_minus_int(D,times_times_int(C,A)))).
% 16.22/16.14 ** KEPT (pick-wt=33): 973 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,minus_min
% 16.22/16.14 Search stopped in tp_alloc by max_mem option.
% 16.22/16.14 us_int($f23(C,B,A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,minus_minus_int(D,times_times_int(C,A)))).
% 16.22/16.14 ** KEPT (pick-wt=9): 974 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(abs_abs_real(A),one_one_real)),A)).
% 16.22/16.14 ** KEPT (pick-wt=19): 975 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(A)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),one_one_real)).
% 16.22/16.14 ** KEPT (pick-wt=16): 976 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f24(B,A)),B)).
% 16.22/16.14 ** KEPT (pick-wt=20): 977 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),$f24(B,A)))| -hBOOL(hAPP_nat_bool(A,C)).
% 16.22/16.14 ** KEPT (pick-wt=16): 978 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(A,plus_plus_nat($f24(B,A),one_one_nat))).
% 16.22/16.14 ** KEPT (pick-wt=29): 979 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|is_int($f25(B,C,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(C,D))|hBOOL(hAPP_int_bool(C,plus_plus_int(D,times_times_int(B,A)))).
% 16.22/16.14 ** KEPT (pick-wt=31): 980 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f25(C,B,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,plus_plus_int(D,times_times_int(C,A)))).
% 16.22/16.14 ** KEPT (pick-wt=33): 981 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,plus_plus_int($f25(C,B,A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,plus_plus_int(D,times_times_int(C,A)))).
% 16.22/16.14
% 16.22/16.14 Search stopped in tp_alloc by max_mem option.
% 16.22/16.14
% 16.22/16.14 ============ end of search ============
% 16.22/16.14
% 16.22/16.14 -------------- statistics -------------
% 16.22/16.14 clauses given 0
% 16.22/16.14 clauses generated 0
% 16.22/16.14 clauses kept 948
% 16.22/16.14 clauses forward subsumed 292
% 16.22/16.14 clauses back subsumed 0
% 16.22/16.14 Kbytes malloced 11718
% 16.22/16.14
% 16.22/16.14 ----------- times (seconds) -----------
% 16.22/16.14 user CPU time 0.14 (0 hr, 0 min, 0 sec)
% 16.22/16.14 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 16.22/16.14 wall-clock time 16 (0 hr, 0 min, 16 sec)
% 16.22/16.14
% 16.22/16.14 Process 27580 finished Wed Jul 27 09:32:07 2022
% 16.22/16.14 Otter interrupted
% 16.22/16.14 PROOF NOT FOUND
%------------------------------------------------------------------------------