TSTP Solution File: NUM923+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM923+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:10:11 EDT 2022
% Result : Unknown 11.55s 11.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM923+3 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:51:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.39/11.35 ----- Otter 3.3f, August 2004 -----
% 11.39/11.35 The process was started by sandbox2 on n003.cluster.edu,
% 11.39/11.35 Wed Jul 27 09:51:11 2022
% 11.39/11.35 The command was "./otter". The process ID is 18216.
% 11.39/11.35
% 11.39/11.35 set(prolog_style_variables).
% 11.39/11.35 set(auto).
% 11.39/11.35 dependent: set(auto1).
% 11.39/11.35 dependent: set(process_input).
% 11.39/11.35 dependent: clear(print_kept).
% 11.39/11.35 dependent: clear(print_new_demod).
% 11.39/11.35 dependent: clear(print_back_demod).
% 11.39/11.35 dependent: clear(print_back_sub).
% 11.39/11.35 dependent: set(control_memory).
% 11.39/11.35 dependent: assign(max_mem, 12000).
% 11.39/11.35 dependent: assign(pick_given_ratio, 4).
% 11.39/11.35 dependent: assign(stats_level, 1).
% 11.39/11.35 dependent: assign(max_seconds, 10800).
% 11.39/11.35 clear(print_given).
% 11.39/11.35
% 11.39/11.35 formula_list(usable).
% 11.39/11.35 all A (A=A).
% 11.39/11.35 is_bool(fFalse).
% 11.39/11.35 is_bool(fTrue).
% 11.39/11.35 all B_1_1 B_2_1 is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 11.39/11.35 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 11.39/11.35 all B_1_1 B_2_1 is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 11.39/11.35 all B_1_1 B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 11.39/11.35 all B_1_1 B_2_1 is_bool(hAPP_P178748804t_bool(B_1_1,B_2_1)).
% 11.39/11.35 all B_1_1 B_2_1 is_bool(member_real(B_1_1,B_2_1)).
% 11.39/11.35 all A R B M C D_1 N_1 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),hAPP_int_int(times_times_int(R),B))),M)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(C),hAPP_int_int(times_times_int(R),D_1))),N_1))=hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),M)),hAPP_int_int(times_times_int(C),N_1))),hAPP_int_int(times_times_int(R),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),M)),hAPP_int_int(times_times_int(D_1),N_1))))).
% 11.39/11.35 all X_46 Y_46 A_117 B_92 (hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X_46),Y_46)),hAPP_int_int(times_times_int(A_117),B_92))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_46),hAPP_int_int(minus_minus_int(Y_46),B_92))),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X_46),A_117)),B_92))).
% 11.39/11.35 all X_46 Y_46 A_117 B_92 (hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_46),Y_46)),hAPP_real_real(times_times_real(A_117),B_92))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_46),hAPP_real_real(minus_minus_real(Y_46),B_92))),hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_46),A_117)),B_92))).
% 11.39/11.35 all X_1 Y_1 A_116 B_91 (hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_1),Y_1)),hAPP_real_real(times_times_real(A_116),B_91))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_1),A_116)),hAPP_real_real(minus_minus_real(Y_1),B_91))),hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_1),A_116)),B_91))),hAPP_real_real(times_times_real(A_116),hAPP_real_real(minus_minus_real(Y_1),B_91)))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)<->C_1=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2)).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)<->C_1=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2)).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)<->hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)=D_2).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)<->hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)=D_2).
% 11.39/11.35 all X_1 (hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X_1))<-> (exists A_49 B_65 (twoSqu1241645765sum2sq(product_Pair_int_int(A_49,B_65))=X_1))).
% 11.39/11.35 all A B C (hAPP_int_int(minus_minus_int(A),B)=C->A=hAPP_int_int(plus_plus_int(C),B)).
% 11.39/11.35 all W_1 Z1 Z2 (hAPP_int_int(times_times_int(W_1),hAPP_int_int(minus_minus_int(Z1),Z2))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(W_1),Z1)),hAPP_int_int(times_times_int(W_1),Z2))).
% 11.39/11.35 all Z1 Z2 W_1 (hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Z1),Z2)),W_1)=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(Z1),W_1)),hAPP_int_int(times_times_int(Z2),W_1))).
% 11.39/11.35 all W_1 Z1 Z2 (hAPP_int_int(times_times_int(W_1),hAPP_int_int(plus_plus_int(Z1),Z2))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W_1),Z1)),hAPP_int_int(times_times_int(W_1),Z2))).
% 11.39/11.35 all Z1 Z2 W_1 (hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(Z1),Z2)),W_1)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Z1),W_1)),hAPP_int_int(times_times_int(Z2),W_1))).
% 11.39/11.35 all A_115 B_90 (hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A_115),B_90)),B_90)=A_115).
% 11.39/11.35 all A_115 B_90 (hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(A_115),B_90)),B_90)=A_115).
% 11.39/11.35 all A_114 B_89 C_54 (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(A_114),B_89)),C_54)=hAPP_int_int(times_times_int(A_114),hAPP_int_int(times_times_int(B_89),C_54))).
% 11.39/11.35 all A_114 B_89 C_54 (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(A_114),B_89)),C_54)=hAPP_real_real(times_times_real(A_114),hAPP_real_real(times_times_real(B_89),C_54))).
% 11.39/11.35 all A_114 B_89 C_54 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(A_114),B_89)),C_54)=hAPP_nat_nat(times_times_nat(A_114),hAPP_nat_nat(times_times_nat(B_89),C_54))).
% 11.39/11.35 all B_88 A_113 C_53 (hAPP_int_int(plus_plus_int(B_88),A_113)=hAPP_int_int(plus_plus_int(C_53),A_113)->B_88=C_53).
% 11.39/11.35 all B_88 A_113 C_53 (hAPP_real_real(plus_plus_real(B_88),A_113)=hAPP_real_real(plus_plus_real(C_53),A_113)->B_88=C_53).
% 11.39/11.35 all B_88 A_113 C_53 (hAPP_nat_nat(plus_plus_nat(B_88),A_113)=hAPP_nat_nat(plus_plus_nat(C_53),A_113)->B_88=C_53).
% 11.39/11.35 all A_112 B_87 C_52 (hAPP_int_int(plus_plus_int(A_112),B_87)=hAPP_int_int(plus_plus_int(A_112),C_52)->B_87=C_52).
% 11.39/11.35 all A_112 B_87 C_52 (hAPP_real_real(plus_plus_real(A_112),B_87)=hAPP_real_real(plus_plus_real(A_112),C_52)->B_87=C_52).
% 11.39/11.35 all A_112 B_87 C_52 (hAPP_nat_nat(plus_plus_nat(A_112),B_87)=hAPP_nat_nat(plus_plus_nat(A_112),C_52)->B_87=C_52).
% 11.39/11.35 all A_111 B_86 C_51 (hAPP_int_int(plus_plus_int(A_111),B_86)=hAPP_int_int(plus_plus_int(A_111),C_51)->B_86=C_51).
% 11.39/11.35 all A_111 B_86 C_51 (hAPP_real_real(plus_plus_real(A_111),B_86)=hAPP_real_real(plus_plus_real(A_111),C_51)->B_86=C_51).
% 11.39/11.35 all A_111 B_86 C_51 (hAPP_nat_nat(plus_plus_nat(A_111),B_86)=hAPP_nat_nat(plus_plus_nat(A_111),C_51)->B_86=C_51).
% 11.39/11.35 all Ba Aa C_1 (hAPP_int_int(plus_plus_int(Ba),Aa)=hAPP_int_int(plus_plus_int(C_1),Aa)<->Ba=C_1).
% 11.39/11.35 all Ba Aa C_1 (hAPP_real_real(plus_plus_real(Ba),Aa)=hAPP_real_real(plus_plus_real(C_1),Aa)<->Ba=C_1).
% 11.39/11.35 all Ba Aa C_1 (hAPP_nat_nat(plus_plus_nat(Ba),Aa)=hAPP_nat_nat(plus_plus_nat(C_1),Aa)<->Ba=C_1).
% 11.39/11.35 all Aa Ba C_1 (hAPP_int_int(plus_plus_int(Aa),Ba)=hAPP_int_int(plus_plus_int(Aa),C_1)<->Ba=C_1).
% 11.39/11.35 all Aa Ba C_1 (hAPP_real_real(plus_plus_real(Aa),Ba)=hAPP_real_real(plus_plus_real(Aa),C_1)<->Ba=C_1).
% 11.39/11.35 all Aa Ba C_1 (hAPP_nat_nat(plus_plus_nat(Aa),Ba)=hAPP_nat_nat(plus_plus_nat(Aa),C_1)<->Ba=C_1).
% 11.39/11.35 all A_110 B_85 C_50 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_110),B_85)),C_50)=hAPP_int_int(plus_plus_int(A_110),hAPP_int_int(plus_plus_int(B_85),C_50))).
% 11.39/11.35 all A_110 B_85 C_50 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_110),B_85)),C_50)=hAPP_real_real(plus_plus_real(A_110),hAPP_real_real(plus_plus_real(B_85),C_50))).
% 11.39/11.35 all A_110 B_85 C_50 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_110),B_85)),C_50)=hAPP_nat_nat(plus_plus_nat(A_110),hAPP_nat_nat(plus_plus_nat(B_85),C_50))).
% 11.39/11.35 all Aa Ba C_1 D_2 (hAPP_int_int(minus_minus_int(Aa),Ba)=hAPP_int_int(minus_minus_int(C_1),D_2)-> (Aa=Ba<->C_1=D_2)).
% 11.39/11.35 all Aa Ba C_1 D_2 (hAPP_real_real(minus_minus_real(Aa),Ba)=hAPP_real_real(minus_minus_real(C_1),D_2)-> (Aa=Ba<->C_1=D_2)).
% 11.39/11.35 all Z1 Z2 Z3 (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3)=hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3))).
% 11.39/11.35 all Z_1 W_1 (hAPP_int_int(times_times_int(Z_1),W_1)=hAPP_int_int(times_times_int(W_1),Z_1)).
% 11.39/11.35 all Z1 Z2 Z3 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(Z1),Z2)),Z3)=hAPP_int_int(plus_plus_int(Z1),hAPP_int_int(plus_plus_int(Z2),Z3))).
% 11.39/11.35 all X Y Z_1 (hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(Y),Z_1))=hAPP_int_int(plus_plus_int(Y),hAPP_int_int(plus_plus_int(X),Z_1))).
% 11.39/11.35 all Z_1 W_1 (hAPP_int_int(plus_plus_int(Z_1),W_1)=hAPP_int_int(plus_plus_int(W_1),Z_1)).
% 11.39/11.35 all A_109 E_2 B_84 C_49 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_109),E_2)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_84),E_2)),C_49))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_109),B_84)),E_2)),C_49)).
% 11.39/11.35 all A_109 E_2 B_84 C_49 (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_109),E_2)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(B_84),E_2)),C_49))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_109),B_84)),E_2)),C_49)).
% 11.39/11.35 all A_109 E_2 B_84 C_49 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_109),E_2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B_84),E_2)),C_49))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_109),B_84)),E_2)),C_49)).
% 11.39/11.35 all X_45 Y_45 Ya_1 (hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X_45),Y_45)),Ya_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_45),Ya_1)),hAPP_real_real(times_times_real(Y_45),Ya_1))).
% 11.39/11.35 all A_108 A_107 B_83 (hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_108),A_107)),B_83)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_108),B_83)),hAPP_real_real(times_times_real(A_107),B_83))).
% 11.39/11.35 all A_106 B_82 C_48 (hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_106),B_82)),C_48)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_106),C_48)),hAPP_int_int(times_times_int(B_82),C_48))).
% 11.39/11.35 all A_106 B_82 C_48 (hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_106),B_82)),C_48)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_106),C_48)),hAPP_real_real(times_times_real(B_82),C_48))).
% 11.39/11.35 all A_106 B_82 C_48 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_106),B_82)),C_48)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_106),C_48)),hAPP_nat_nat(times_times_nat(B_82),C_48))).
% 11.39/11.35 all Xa_1 X_44 Y_44 (hAPP_real_real(times_times_real(Xa_1),hAPP_real_real(plus_plus_real(X_44),Y_44))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Xa_1),X_44)),hAPP_real_real(times_times_real(Xa_1),Y_44))).
% 11.39/11.35 all A_105 B_81 B_80 (hAPP_real_real(times_times_real(A_105),hAPP_real_real(plus_plus_real(B_81),B_80))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_105),B_81)),hAPP_real_real(times_times_real(A_105),B_80))).
% 11.39/11.35 all X_43 Y_43 Ya (hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_43),Y_43)),Ya)=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_43),Ya)),hAPP_real_real(times_times_real(Y_43),Ya))).
% 11.39/11.35 all A_104 A_103 B_79 (hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A_104),A_103)),B_79)=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_104),B_79)),hAPP_real_real(times_times_real(A_103),B_79))).
% 11.39/11.35 all Xa X_42 Y_42 (hAPP_real_real(times_times_real(Xa),hAPP_real_real(minus_minus_real(X_42),Y_42))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(Xa),X_42)),hAPP_real_real(times_times_real(Xa),Y_42))).
% 11.39/11.35 all A_102 B_78 B_77 (hAPP_real_real(times_times_real(A_102),hAPP_real_real(minus_minus_real(B_78),B_77))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_102),B_78)),hAPP_real_real(times_times_real(A_102),B_77))).
% 11.39/11.35 all A_101 C_47 B_76 D_12 (hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(A_101),C_47)),hAPP_int_int(plus_plus_int(B_76),D_12))=hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A_101),B_76)),hAPP_int_int(minus_minus_int(C_47),D_12))).
% 11.39/11.35 all A_101 C_47 B_76 D_12 (hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A_101),C_47)),hAPP_real_real(plus_plus_real(B_76),D_12))=hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(A_101),B_76)),hAPP_real_real(minus_minus_real(C_47),D_12))).
% 11.39/11.35 all A_100 B_75 (hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(A_100),B_75)),B_75)=A_100).
% 11.39/11.35 all A_100 B_75 (hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A_100),B_75)),B_75)=A_100).
% 11.39/11.35 all W Y_1 X_1 Z (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Y_1)),hAPP_int_int(times_times_int(X_1),Z))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Z)),hAPP_int_int(times_times_int(X_1),Y_1))<->W=X_1|Y_1=Z).
% 11.39/11.35 all W Y_1 X_1 Z (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Y_1)),hAPP_real_real(times_times_real(X_1),Z))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Z)),hAPP_real_real(times_times_real(X_1),Y_1))<->W=X_1|Y_1=Z).
% 11.39/11.35 all W Y_1 X_1 Z (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Y_1)),hAPP_nat_nat(times_times_nat(X_1),Z))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Z)),hAPP_nat_nat(times_times_nat(X_1),Y_1))<->W=X_1|Y_1=Z).
% 11.39/11.35 all A_99 M_7 B_74 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_99),M_7)),hAPP_int_int(times_times_int(B_74),M_7))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_99),B_74)),M_7)).
% 11.39/11.35 all A_99 M_7 B_74 (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_99),M_7)),hAPP_real_real(times_times_real(B_74),M_7))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_99),B_74)),M_7)).
% 11.39/11.35 all A_99 M_7 B_74 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_99),M_7)),hAPP_nat_nat(times_times_nat(B_74),M_7))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_99),B_74)),M_7)).
% 11.39/11.35 all A_98 B_73 C_46 (hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_98),B_73)),C_46)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_98),C_46)),hAPP_int_int(times_times_int(B_73),C_46))).
% 11.39/11.35 all A_98 B_73 C_46 (hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_98),B_73)),C_46)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_98),C_46)),hAPP_real_real(times_times_real(B_73),C_46))).
% 11.39/11.35 all A_98 B_73 C_46 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_98),B_73)),C_46)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_98),C_46)),hAPP_nat_nat(times_times_nat(B_73),C_46))).
% 11.39/11.35 all C_1 D_2 Aa Ba (Aa!=Ba&C_1!=D_2<->hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),D_2))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),D_2)),hAPP_int_int(times_times_int(Ba),C_1))).
% 11.39/11.35 all C_1 D_2 Aa Ba (Aa!=Ba&C_1!=D_2<->hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),D_2))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),D_2)),hAPP_real_real(times_times_real(Ba),C_1))).
% 11.39/11.35 all C_1 D_2 Aa Ba (Aa!=Ba&C_1!=D_2<->hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),C_1)),hAPP_nat_nat(times_times_nat(Ba),D_2))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),D_2)),hAPP_nat_nat(times_times_nat(Ba),C_1))).
% 11.39/11.35 all X_41 Y_41 Z_17 (hAPP_int_int(times_times_int(X_41),hAPP_int_int(plus_plus_int(Y_41),Z_17))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_41),Y_41)),hAPP_int_int(times_times_int(X_41),Z_17))).
% 11.39/11.35 all X_41 Y_41 Z_17 (hAPP_real_real(times_times_real(X_41),hAPP_real_real(plus_plus_real(Y_41),Z_17))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_41),Y_41)),hAPP_real_real(times_times_real(X_41),Z_17))).
% 11.39/11.35 all X_41 Y_41 Z_17 (hAPP_nat_nat(times_times_nat(X_41),hAPP_nat_nat(plus_plus_nat(Y_41),Z_17))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X_41),Y_41)),hAPP_nat_nat(times_times_nat(X_41),Z_17))).
% 11.39/11.35 all A_97 B_72 A_96 B_71 (product_Pair_int_int(A_97,B_72)=product_Pair_int_int(A_96,B_71)-> -(A_97=A_96->B_72!=B_71)).
% 11.39/11.35 all A_97 B_72 A_96 B_71 (produc282740534nt_int(A_97,B_72)=produc282740534nt_int(A_96,B_71)-> -(A_97=A_96->B_72!=B_71)).
% 11.39/11.35 all Aa Ba A_95 B_70 (product_Pair_int_int(Aa,Ba)=product_Pair_int_int(A_95,B_70)<->Aa=A_95&Ba=B_70).
% 11.39/11.35 all Aa Ba A_95 B_70 (produc282740534nt_int(Aa,Ba)=produc282740534nt_int(A_95,B_70)<->Aa=A_95&Ba=B_70).
% 11.39/11.35 all P_1 ((all X1 hBOOL(hAPP_P603027463t_bool(P_1,X1)))<-> (all A_49 B_65 hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_49,B_65))))).
% 11.39/11.35 all P_1 ((all X1 hBOOL(hAPP_P178748804t_bool(P_1,X1)))<-> (all A_49 B_65 hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int(A_49,B_65))))).
% 11.39/11.35 all A_94 B_69 C_45 D_11 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_94),B_69)),hAPP_int_int(plus_plus_int(C_45),D_11))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_94),C_45)),hAPP_int_int(plus_plus_int(B_69),D_11))).
% 11.39/11.35 all A_94 B_69 C_45 D_11 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_94),B_69)),hAPP_real_real(plus_plus_real(C_45),D_11))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_94),C_45)),hAPP_real_real(plus_plus_real(B_69),D_11))).
% 11.39/11.35 all A_94 B_69 C_45 D_11 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_94),B_69)),hAPP_nat_nat(plus_plus_nat(C_45),D_11))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_94),C_45)),hAPP_nat_nat(plus_plus_nat(B_69),D_11))).
% 11.39/11.35 all A_93 B_68 C_44 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_93),B_68)),C_44)=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_93),C_44)),B_68)).
% 11.39/11.35 all A_93 B_68 C_44 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_93),B_68)),C_44)=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_93),C_44)),B_68)).
% 11.39/11.35 all A_93 B_68 C_44 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_93),B_68)),C_44)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_93),C_44)),B_68)).
% 11.39/11.35 all A_92 B_67 (hAPP_int_int(times_times_int(A_92),B_67)=hAPP_int_int(times_times_int(B_67),A_92)).
% 11.39/11.35 all A_92 B_67 (hAPP_real_real(times_times_real(A_92),B_67)=hAPP_real_real(times_times_real(B_67),A_92)).
% 11.39/11.35 all A_92 B_67 (hAPP_nat_nat(times_times_nat(A_92),B_67)=hAPP_nat_nat(times_times_nat(B_67),A_92)).
% 11.39/11.35 all Lx_6 Rx_6 Ry_4 (hAPP_int_int(times_times_int(Lx_6),hAPP_int_int(times_times_int(Rx_6),Ry_4))=hAPP_int_int(times_times_int(Rx_6),hAPP_int_int(times_times_int(Lx_6),Ry_4))).
% 11.39/11.35 all Lx_6 Rx_6 Ry_4 (hAPP_real_real(times_times_real(Lx_6),hAPP_real_real(times_times_real(Rx_6),Ry_4))=hAPP_real_real(times_times_real(Rx_6),hAPP_real_real(times_times_real(Lx_6),Ry_4))).
% 11.39/11.35 all Lx_6 Rx_6 Ry_4 (hAPP_nat_nat(times_times_nat(Lx_6),hAPP_nat_nat(times_times_nat(Rx_6),Ry_4))=hAPP_nat_nat(times_times_nat(Rx_6),hAPP_nat_nat(times_times_nat(Lx_6),Ry_4))).
% 11.39/11.35 all Lx_5 Rx_5 Ry_3 (hAPP_int_int(times_times_int(Lx_5),hAPP_int_int(times_times_int(Rx_5),Ry_3))=hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_5),Rx_5)),Ry_3)).
% 11.39/11.35 all Lx_5 Rx_5 Ry_3 (hAPP_real_real(times_times_real(Lx_5),hAPP_real_real(times_times_real(Rx_5),Ry_3))=hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_5),Rx_5)),Ry_3)).
% 11.39/11.35 all Lx_5 Rx_5 Ry_3 (hAPP_nat_nat(times_times_nat(Lx_5),hAPP_nat_nat(times_times_nat(Rx_5),Ry_3))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_5),Rx_5)),Ry_3)).
% 11.39/11.35 all Lx_4 Ly_4 Rx_4 (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_4),Ly_4)),Rx_4)=hAPP_int_int(times_times_int(Lx_4),hAPP_int_int(times_times_int(Ly_4),Rx_4))).
% 11.39/11.35 all Lx_4 Ly_4 Rx_4 (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_4),Ly_4)),Rx_4)=hAPP_real_real(times_times_real(Lx_4),hAPP_real_real(times_times_real(Ly_4),Rx_4))).
% 11.39/11.35 all Lx_4 Ly_4 Rx_4 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_4),Ly_4)),Rx_4)=hAPP_nat_nat(times_times_nat(Lx_4),hAPP_nat_nat(times_times_nat(Ly_4),Rx_4))).
% 11.39/11.35 all Lx_3 Ly_3 Rx_3 (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_3)),Rx_3)=hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_3)).
% 11.39/11.35 all Lx_3 Ly_3 Rx_3 (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_3),Ly_3)),Rx_3)=hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_3),Rx_3)),Ly_3)).
% 11.39/11.35 all Lx_3 Ly_3 Rx_3 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_3),Ly_3)),Rx_3)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_3),Rx_3)),Ly_3)).
% 11.39/11.35 all Lx_2 Ly_2 Rx_2 Ry_2 (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_2),Ly_2)),hAPP_int_int(times_times_int(Rx_2),Ry_2))=hAPP_int_int(times_times_int(Lx_2),hAPP_int_int(times_times_int(Ly_2),hAPP_int_int(times_times_int(Rx_2),Ry_2)))).
% 11.39/11.35 all Lx_2 Ly_2 Rx_2 Ry_2 (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_2),Ly_2)),hAPP_real_real(times_times_real(Rx_2),Ry_2))=hAPP_real_real(times_times_real(Lx_2),hAPP_real_real(times_times_real(Ly_2),hAPP_real_real(times_times_real(Rx_2),Ry_2)))).
% 11.39/11.35 all Lx_2 Ly_2 Rx_2 Ry_2 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_2),Ly_2)),hAPP_nat_nat(times_times_nat(Rx_2),Ry_2))=hAPP_nat_nat(times_times_nat(Lx_2),hAPP_nat_nat(times_times_nat(Ly_2),hAPP_nat_nat(times_times_nat(Rx_2),Ry_2)))).
% 11.39/11.35 all Lx_1 Ly_1 Rx_1 Ry_1 (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_1),Ly_1)),hAPP_int_int(times_times_int(Rx_1),Ry_1))=hAPP_int_int(times_times_int(Rx_1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_1),Ly_1)),Ry_1))).
% 11.39/11.35 all Lx_1 Ly_1 Rx_1 Ry_1 (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_1),Ly_1)),hAPP_real_real(times_times_real(Rx_1),Ry_1))=hAPP_real_real(times_times_real(Rx_1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_1),Ly_1)),Ry_1))).
% 11.39/11.35 all Lx_1 Ly_1 Rx_1 Ry_1 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_1),Ly_1)),hAPP_nat_nat(times_times_nat(Rx_1),Ry_1))=hAPP_nat_nat(times_times_nat(Rx_1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_1),Ly_1)),Ry_1))).
% 11.39/11.35 all Lx Ly Rx Ry (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx),Ly)),hAPP_int_int(times_times_int(Rx),Ry))=hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx),Rx)),hAPP_int_int(times_times_int(Ly),Ry))).
% 11.39/11.35 all Lx Ly Rx Ry (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx),Ly)),hAPP_real_real(times_times_real(Rx),Ry))=hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx),Rx)),hAPP_real_real(times_times_real(Ly),Ry))).
% 11.39/11.35 all Lx Ly Rx Ry (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx),Ly)),hAPP_nat_nat(times_times_nat(Rx),Ry))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx),Rx)),hAPP_nat_nat(times_times_nat(Ly),Ry))).
% 11.39/11.35 all A_91 C_43 (hAPP_int_int(plus_plus_int(A_91),C_43)=hAPP_int_int(plus_plus_int(C_43),A_91)).
% 11.39/11.35 all A_91 C_43 (hAPP_real_real(plus_plus_real(A_91),C_43)=hAPP_real_real(plus_plus_real(C_43),A_91)).
% 11.39/11.35 all A_91 C_43 (hAPP_nat_nat(plus_plus_nat(A_91),C_43)=hAPP_nat_nat(plus_plus_nat(C_43),A_91)).
% 11.39/11.35 all A_90 C_42 D_10 (hAPP_int_int(plus_plus_int(A_90),hAPP_int_int(plus_plus_int(C_42),D_10))=hAPP_int_int(plus_plus_int(C_42),hAPP_int_int(plus_plus_int(A_90),D_10))).
% 11.39/11.35 all A_90 C_42 D_10 (hAPP_real_real(plus_plus_real(A_90),hAPP_real_real(plus_plus_real(C_42),D_10))=hAPP_real_real(plus_plus_real(C_42),hAPP_real_real(plus_plus_real(A_90),D_10))).
% 11.39/11.35 all A_90 C_42 D_10 (hAPP_nat_nat(plus_plus_nat(A_90),hAPP_nat_nat(plus_plus_nat(C_42),D_10))=hAPP_nat_nat(plus_plus_nat(C_42),hAPP_nat_nat(plus_plus_nat(A_90),D_10))).
% 11.39/11.35 all A_89 C_41 D_9 (hAPP_int_int(plus_plus_int(A_89),hAPP_int_int(plus_plus_int(C_41),D_9))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_89),C_41)),D_9)).
% 11.39/11.35 all A_89 C_41 D_9 (hAPP_real_real(plus_plus_real(A_89),hAPP_real_real(plus_plus_real(C_41),D_9))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_89),C_41)),D_9)).
% 11.39/11.35 all A_89 C_41 D_9 (hAPP_nat_nat(plus_plus_nat(A_89),hAPP_nat_nat(plus_plus_nat(C_41),D_9))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_89),C_41)),D_9)).
% 11.39/11.35 all A_88 B_66 C_40 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_88),B_66)),C_40)=hAPP_int_int(plus_plus_int(A_88),hAPP_int_int(plus_plus_int(B_66),C_40))).
% 11.39/11.35 all A_88 B_66 C_40 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_88),B_66)),C_40)=hAPP_real_real(plus_plus_real(A_88),hAPP_real_real(plus_plus_real(B_66),C_40))).
% 11.39/11.35 all A_88 B_66 C_40 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_88),B_66)),C_40)=hAPP_nat_nat(plus_plus_nat(A_88),hAPP_nat_nat(plus_plus_nat(B_66),C_40))).
% 11.39/11.35 all P_1 ((exists X1 hBOOL(hAPP_P603027463t_bool(P_1,X1)))<-> (exists A_49 B_65 hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_49,B_65))))).
% 11.39/11.35 all P_1 ((exists X1 hBOOL(hAPP_P178748804t_bool(P_1,X1)))<-> (exists A_49 B_65 hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int(A_49,B_65))))).
% 11.39/11.35 all X_1 P_1 ((all A_49 B_65 C_39 hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int(A_49,product_Pair_int_int(B_65,C_39)))))->hBOOL(hAPP_P178748804t_bool(P_1,X_1))).
% 11.39/11.35 all Y_40 (-(all A_49 B_65 C_39 (Y_40!=produc282740534nt_int(A_49,product_Pair_int_int(B_65,C_39))))).
% 11.39/11.35 all P_3 (-(all X_2 Y_2 (P_3!=product_Pair_int_int(X_2,Y_2)))).
% 11.39/11.35 all P_3 (-(all X_2 Y_2 (P_3!=produc282740534nt_int(X_2,Y_2)))).
% 11.39/11.35 all X_1 A_87 (hBOOL(member_real(X_1,A_87))<->hBOOL(hAPP_real_bool(A_87,X_1))).
% 11.39/11.35 all Y_39 (-(all A_49 B_65 (Y_39!=product_Pair_int_int(A_49,B_65)))).
% 11.39/11.35 all Y_39 (-(all A_49 B_65 (Y_39!=produc282740534nt_int(A_49,B_65)))).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))->hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))->hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)),D_2))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)),D_2))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2)))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2)))).
% 11.39/11.35 all X_40 (hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X_40),X_40)),one_one_int)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X_40),one_one_int)),hAPP_int_int(minus_minus_int(X_40),one_one_int))).
% 11.39/11.35 all X_40 (hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_40),X_40)),one_one_real)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X_40),one_one_real)),hAPP_real_real(minus_minus_real(X_40),one_one_real))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)),D_2))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)),D_2))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2)))).
% 11.39/11.35 all Aa E_1 C_1 Ba D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2)))).
% 11.39/11.35 all V_17 W_11 C_38 (hAPP_int_int(plus_plus_int(number_number_of_int(V_17)),hAPP_int_int(minus_minus_int(number_number_of_int(W_11)),C_38))=hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_17),W_11))),C_38)).
% 11.39/11.35 all V_17 W_11 C_38 (hAPP_real_real(plus_plus_real(number267125858f_real(V_17)),hAPP_real_real(minus_minus_real(number267125858f_real(W_11)),C_38))=hAPP_real_real(minus_minus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_17),W_11))),C_38)).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))<->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))<->hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))).
% 11.39/11.35 all N_3 M_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(M_6),N_3))))).
% 11.39/11.35 all N_3 M_6 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),M_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),N_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(M_6),N_3))))).
% 11.39/11.35 all N_3 M_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(M_6),N_3))))).
% 11.39/11.35 all A_86 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_86),hAPP_int_int(plus_plus_int(A_86),one_one_int))).
% 11.39/11.35 all A_86 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_86),hAPP_real_real(plus_plus_real(A_86),one_one_real))).
% 11.39/11.35 all A_86 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_86),hAPP_nat_nat(plus_plus_nat(A_86),one_one_nat))).
% 11.39/11.35 all C_37 D_8 A_85 B_64 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_85),B_64))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_37),D_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_85),C_37)),hAPP_int_int(plus_plus_int(B_64),D_8))))).
% 11.39/11.35 all C_37 D_8 A_85 B_64 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_85),B_64))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_37),D_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_85),C_37)),hAPP_real_real(plus_plus_real(B_64),D_8))))).
% 11.39/11.35 all C_37 D_8 A_85 B_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_85),B_64))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_37),D_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_85),C_37)),hAPP_nat_nat(plus_plus_nat(B_64),D_8))))).
% 11.39/11.35 all C_36 D_7 A_84 B_63 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_84),B_63))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_36),D_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_84),C_36)),hAPP_int_int(plus_plus_int(B_63),D_7))))).
% 11.39/11.35 all C_36 D_7 A_84 B_63 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_84),B_63))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_36),D_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_84),C_36)),hAPP_real_real(plus_plus_real(B_63),D_7))))).
% 11.39/11.35 all C_36 D_7 A_84 B_63 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_84),B_63))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_36),D_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_84),C_36)),hAPP_nat_nat(plus_plus_nat(B_63),D_7))))).
% 11.39/11.35 all X_1 (one_one_int=X_1<->X_1=one_one_int).
% 11.39/11.35 all X_1 (one_one_real=X_1<->X_1=one_one_real).
% 11.39/11.35 all X_1 (one_one_nat=X_1<->X_1=one_one_nat).
% 11.39/11.35 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))).
% 11.39/11.35 all W X_1 (number_number_of_int(W)=X_1<->X_1=number_number_of_int(W)).
% 11.39/11.35 all W X_1 (number267125858f_real(W)=X_1<->X_1=number267125858f_real(W)).
% 11.39/11.35 all W X_1 (number_number_of_nat(W)=X_1<->X_1=number_number_of_nat(W)).
% 11.39/11.35 all V_1 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_1)),number_number_of_int(W)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(W)),number_number_of_int(V_1)))).
% 11.39/11.35 all V_1 W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(V_1)),number267125858f_real(W)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(W)),number267125858f_real(V_1)))).
% 11.39/11.35 all V_1 W (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(W)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(W)),number_number_of_nat(V_1)))).
% 11.39/11.35 all X_1 Y_1 (number_number_of_int(X_1)=number_number_of_int(Y_1)<->X_1=Y_1).
% 11.39/11.35 all X_1 Y_1 (number267125858f_real(X_1)=number267125858f_real(Y_1)<->X_1=Y_1).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X_1)),number_number_of_int(Y_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X_1)),number267125858f_real(Y_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(X_1)),number_number_of_int(Y_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(X_1)),number267125858f_real(Y_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))).
% 11.39/11.35 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))).
% 11.39/11.35 all X_39 Y_38 (X_39!=Y_38-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_39),Y_38))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_38),X_39)))).
% 11.39/11.35 all X_39 Y_38 (X_39!=Y_38-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_39),Y_38))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_38),X_39)))).
% 11.39/11.35 all W_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W_1),one_one_int)),Z_1))).
% 11.39/11.35 all X_38 Y_37 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_38),Y_37))-> (X_38!=Y_37->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_38),Y_37)))).
% 11.39/11.35 all X_38 Y_37 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_38),Y_37))-> (X_38!=Y_37->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),Y_37)))).
% 11.39/11.35 all X_38 Y_37 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_38),Y_37))-> (X_38!=Y_37->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_38),Y_37)))).
% 11.39/11.35 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),hAPP_int_int(minus_minus_int(Z),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))).
% 11.39/11.35 all Z_16 Z_1 W_10 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_10),W_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_16),Z_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(W_10),Z_16)),hAPP_int_int(plus_plus_int(W_1),Z_1))))).
% 11.39/11.35 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|W=Z).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(Aa),C_1)),hAPP_int_int(plus_plus_int(Ba),C_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(Aa),C_1)),hAPP_real_real(plus_plus_real(Ba),C_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(Aa),C_1)),hAPP_nat_nat(plus_plus_nat(Ba),C_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_1),Aa)),hAPP_int_int(plus_plus_int(C_1),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_1),Aa)),hAPP_real_real(plus_plus_real(C_1),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_1),Aa)),hAPP_nat_nat(plus_plus_nat(C_1),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 11.39/11.35 all C_35 A_83 B_62 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_83),B_62))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_83),C_35)),hAPP_int_int(plus_plus_int(B_62),C_35)))).
% 11.39/11.35 all C_35 A_83 B_62 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_83),B_62))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_83),C_35)),hAPP_real_real(plus_plus_real(B_62),C_35)))).
% 11.39/11.35 all C_35 A_83 B_62 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_83),B_62))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_83),C_35)),hAPP_nat_nat(plus_plus_nat(B_62),C_35)))).
% 11.39/11.35 all C_34 A_82 B_61 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_82),B_61))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_34),A_82)),hAPP_int_int(plus_plus_int(C_34),B_61)))).
% 11.39/11.35 all C_34 A_82 B_61 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_82),B_61))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_34),A_82)),hAPP_real_real(plus_plus_real(C_34),B_61)))).
% 11.39/11.35 all C_34 A_82 B_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_82),B_61))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_34),A_82)),hAPP_nat_nat(plus_plus_nat(C_34),B_61)))).
% 11.39/11.35 all C_33 D_6 A_81 B_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_81),B_60))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_33),D_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_81),C_33)),hAPP_int_int(plus_plus_int(B_60),D_6))))).
% 11.39/11.35 all C_33 D_6 A_81 B_60 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_81),B_60))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_33),D_6))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_81),C_33)),hAPP_real_real(plus_plus_real(B_60),D_6))))).
% 11.39/11.35 all C_33 D_6 A_81 B_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_81),B_60))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_33),D_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_81),C_33)),hAPP_nat_nat(plus_plus_nat(B_60),D_6))))).
% 11.39/11.35 all A_80 C_32 B_59 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_80),C_32)),hAPP_int_int(plus_plus_int(B_59),C_32)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_80),B_59))).
% 11.39/11.35 all A_80 C_32 B_59 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_80),C_32)),hAPP_real_real(plus_plus_real(B_59),C_32)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_80),B_59))).
% 11.39/11.35 all A_80 C_32 B_59 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_80),C_32)),hAPP_nat_nat(plus_plus_nat(B_59),C_32)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_80),B_59))).
% 11.39/11.35 all C_31 A_79 B_58 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_31),A_79)),hAPP_int_int(plus_plus_int(C_31),B_58)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_79),B_58))).
% 11.39/11.35 all C_31 A_79 B_58 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_31),A_79)),hAPP_real_real(plus_plus_real(C_31),B_58)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_79),B_58))).
% 11.39/11.35 all C_31 A_79 B_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_31),A_79)),hAPP_nat_nat(plus_plus_nat(C_31),B_58)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_79),B_58))).
% 11.39/11.35 all A_78 (hAPP_int_int(times_times_int(one_one_int),A_78)=A_78).
% 11.39/11.35 all A_78 (hAPP_real_real(times_times_real(one_one_real),A_78)=A_78).
% 11.39/11.35 all A_78 (hAPP_nat_nat(times_times_nat(one_one_nat),A_78)=A_78).
% 11.39/11.35 all A_77 (hAPP_int_int(times_times_int(A_77),one_one_int)=A_77).
% 11.39/11.35 all A_77 (hAPP_real_real(times_times_real(A_77),one_one_real)=A_77).
% 11.39/11.35 all A_77 (hAPP_nat_nat(times_times_nat(A_77),one_one_nat)=A_77).
% 11.39/11.35 all A_76 (hAPP_int_int(times_times_int(one_one_int),A_76)=A_76).
% 11.39/11.35 all A_76 (hAPP_real_real(times_times_real(one_one_real),A_76)=A_76).
% 11.39/11.35 all A_76 (hAPP_nat_nat(times_times_nat(one_one_nat),A_76)=A_76).
% 11.39/11.35 all A_75 (hAPP_int_int(times_times_int(one_one_int),A_75)=A_75).
% 11.39/11.35 all A_75 (hAPP_real_real(times_times_real(one_one_real),A_75)=A_75).
% 11.39/11.35 all A_75 (hAPP_nat_nat(times_times_nat(one_one_nat),A_75)=A_75).
% 11.39/11.35 all A_74 (hAPP_int_int(times_times_int(A_74),one_one_int)=A_74).
% 11.39/11.35 all A_74 (hAPP_real_real(times_times_real(A_74),one_one_real)=A_74).
% 11.39/11.35 all A_74 (hAPP_nat_nat(times_times_nat(A_74),one_one_nat)=A_74).
% 11.39/11.35 all A_73 (hAPP_int_int(times_times_int(A_73),one_one_int)=A_73).
% 11.39/11.35 all A_73 (hAPP_real_real(times_times_real(A_73),one_one_real)=A_73).
% 11.39/11.35 all A_73 (hAPP_nat_nat(times_times_nat(A_73),one_one_nat)=A_73).
% 11.39/11.35 all Aa Ba C_1 D_2 (hAPP_int_int(minus_minus_int(Aa),Ba)=hAPP_int_int(minus_minus_int(C_1),D_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D_2)))).
% 11.39/11.35 all Aa Ba C_1 D_2 (hAPP_real_real(minus_minus_real(Aa),Ba)=hAPP_real_real(minus_minus_real(C_1),D_2)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D_2)))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Aa),C_1)),hAPP_int_int(plus_plus_int(Ba),C_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Aa),C_1)),hAPP_real_real(plus_plus_real(Ba),C_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(Aa),C_1)),hAPP_nat_nat(plus_plus_nat(Ba),C_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_1),Aa)),hAPP_int_int(plus_plus_int(C_1),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_1),Aa)),hAPP_real_real(plus_plus_real(C_1),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_1),Aa)),hAPP_nat_nat(plus_plus_nat(C_1),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 11.39/11.35 all C_30 A_72 B_57 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_72),B_57))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_72),C_30)),hAPP_int_int(plus_plus_int(B_57),C_30)))).
% 11.39/11.35 all C_30 A_72 B_57 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_72),B_57))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_72),C_30)),hAPP_real_real(plus_plus_real(B_57),C_30)))).
% 11.39/11.35 all C_30 A_72 B_57 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_72),B_57))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_72),C_30)),hAPP_nat_nat(plus_plus_nat(B_57),C_30)))).
% 11.39/11.35 all C_29 A_71 B_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_71),B_56))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_29),A_71)),hAPP_int_int(plus_plus_int(C_29),B_56)))).
% 11.39/11.35 all C_29 A_71 B_56 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_71),B_56))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_29),A_71)),hAPP_real_real(plus_plus_real(C_29),B_56)))).
% 11.39/11.35 all C_29 A_71 B_56 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_71),B_56))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_29),A_71)),hAPP_nat_nat(plus_plus_nat(C_29),B_56)))).
% 11.39/11.35 all C_28 D_5 A_70 B_55 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_70),B_55))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_28),D_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_70),C_28)),hAPP_int_int(plus_plus_int(B_55),D_5))))).
% 11.39/11.35 all C_28 D_5 A_70 B_55 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_70),B_55))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_28),D_5))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_70),C_28)),hAPP_real_real(plus_plus_real(B_55),D_5))))).
% 11.39/11.35 all C_28 D_5 A_70 B_55 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_70),B_55))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_28),D_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_70),C_28)),hAPP_nat_nat(plus_plus_nat(B_55),D_5))))).
% 11.39/11.35 all A_69 C_27 B_54 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_69),C_27)),hAPP_int_int(plus_plus_int(B_54),C_27)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_69),B_54))).
% 11.39/11.35 all A_69 C_27 B_54 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_69),C_27)),hAPP_real_real(plus_plus_real(B_54),C_27)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_69),B_54))).
% 11.39/11.35 all A_69 C_27 B_54 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_69),C_27)),hAPP_nat_nat(plus_plus_nat(B_54),C_27)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_69),B_54))).
% 11.39/11.35 all C_26 A_68 B_53 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_26),A_68)),hAPP_int_int(plus_plus_int(C_26),B_53)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_68),B_53))).
% 11.39/11.35 all C_26 A_68 B_53 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_26),A_68)),hAPP_real_real(plus_plus_real(C_26),B_53)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_68),B_53))).
% 11.39/11.35 all C_26 A_68 B_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_26),A_68)),hAPP_nat_nat(plus_plus_nat(C_26),B_53)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_68),B_53))).
% 11.39/11.35 all Aa Ba C_1 D_2 (hAPP_int_int(minus_minus_int(Aa),Ba)=hAPP_int_int(minus_minus_int(C_1),D_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),D_2)))).
% 11.39/11.35 all Aa Ba C_1 D_2 (hAPP_real_real(minus_minus_real(Aa),Ba)=hAPP_real_real(minus_minus_real(C_1),D_2)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),D_2)))).
% 11.39/11.35 all V W_1 (hAPP_int_int(times_times_int(number_number_of_int(V)),number_number_of_int(W_1))=number_number_of_int(hAPP_int_int(times_times_int(V),W_1))).
% 11.39/11.35 all V W_1 (hAPP_int_int(plus_plus_int(number_number_of_int(V)),number_number_of_int(W_1))=number_number_of_int(hAPP_int_int(plus_plus_int(V),W_1))).
% 11.39/11.35 all K I J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(I),K)),hAPP_int_int(plus_plus_int(J),K)))).
% 11.39/11.35 all K I J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),J))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(K),I)),hAPP_int_int(plus_plus_int(K),J)))).
% 11.39/11.35 all Z_1 (hAPP_int_int(times_times_int(one_one_int),Z_1)=Z_1).
% 11.39/11.35 all Z_1 (hAPP_int_int(times_times_int(Z_1),one_one_int)=Z_1).
% 11.39/11.35 all V_16 B_52 C_25 (hAPP_int_int(times_times_int(number_number_of_int(V_16)),hAPP_int_int(plus_plus_int(B_52),C_25))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(V_16)),B_52)),hAPP_int_int(times_times_int(number_number_of_int(V_16)),C_25))).
% 11.39/11.35 all V_16 B_52 C_25 (hAPP_real_real(times_times_real(number267125858f_real(V_16)),hAPP_real_real(plus_plus_real(B_52),C_25))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(number267125858f_real(V_16)),B_52)),hAPP_real_real(times_times_real(number267125858f_real(V_16)),C_25))).
% 11.39/11.35 all V_16 B_52 C_25 (hAPP_nat_nat(times_times_nat(number_number_of_nat(V_16)),hAPP_nat_nat(plus_plus_nat(B_52),C_25))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(V_16)),B_52)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_16)),C_25))).
% 11.39/11.35 all A_67 B_51 V_15 (hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_67),B_51)),number_number_of_int(V_15))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_67),number_number_of_int(V_15))),hAPP_int_int(times_times_int(B_51),number_number_of_int(V_15)))).
% 11.39/11.35 all A_67 B_51 V_15 (hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_67),B_51)),number267125858f_real(V_15))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_67),number267125858f_real(V_15))),hAPP_real_real(times_times_real(B_51),number267125858f_real(V_15)))).
% 11.39/11.35 all A_67 B_51 V_15 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_67),B_51)),number_number_of_nat(V_15))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_67),number_number_of_nat(V_15))),hAPP_nat_nat(times_times_nat(B_51),number_number_of_nat(V_15)))).
% 11.39/11.35 all V_14 B_50 C_24 (hAPP_int_int(times_times_int(number_number_of_int(V_14)),hAPP_int_int(minus_minus_int(B_50),C_24))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(V_14)),B_50)),hAPP_int_int(times_times_int(number_number_of_int(V_14)),C_24))).
% 11.39/11.35 all V_14 B_50 C_24 (hAPP_real_real(times_times_real(number267125858f_real(V_14)),hAPP_real_real(minus_minus_real(B_50),C_24))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(number267125858f_real(V_14)),B_50)),hAPP_real_real(times_times_real(number267125858f_real(V_14)),C_24))).
% 11.39/11.35 all A_66 B_49 V_13 (hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A_66),B_49)),number_number_of_int(V_13))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(A_66),number_number_of_int(V_13))),hAPP_int_int(times_times_int(B_49),number_number_of_int(V_13)))).
% 11.39/11.35 all A_66 B_49 V_13 (hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A_66),B_49)),number267125858f_real(V_13))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_66),number267125858f_real(V_13))),hAPP_real_real(times_times_real(B_49),number267125858f_real(V_13)))).
% 11.39/11.35 all V_12 W_9 (number_number_of_int(hAPP_int_int(times_times_int(V_12),W_9))=hAPP_int_int(times_times_int(number_number_of_int(V_12)),number_number_of_int(W_9))).
% 11.39/11.35 all V_12 W_9 (number267125858f_real(hAPP_int_int(times_times_int(V_12),W_9))=hAPP_real_real(times_times_real(number267125858f_real(V_12)),number267125858f_real(W_9))).
% 11.39/11.35 all V_11 W_8 (hAPP_int_int(times_times_int(number_number_of_int(V_11)),number_number_of_int(W_8))=number_number_of_int(hAPP_int_int(times_times_int(V_11),W_8))).
% 11.39/11.35 all V_11 W_8 (hAPP_real_real(times_times_real(number267125858f_real(V_11)),number267125858f_real(W_8))=number267125858f_real(hAPP_int_int(times_times_int(V_11),W_8))).
% 11.39/11.35 all V_10 W_7 Z_15 (hAPP_int_int(times_times_int(number_number_of_int(V_10)),hAPP_int_int(times_times_int(number_number_of_int(W_7)),Z_15))=hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(V_10),W_7))),Z_15)).
% 11.39/11.35 all V_10 W_7 Z_15 (hAPP_real_real(times_times_real(number267125858f_real(V_10)),hAPP_real_real(times_times_real(number267125858f_real(W_7)),Z_15))=hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(times_times_int(V_10),W_7))),Z_15)).
% 11.39/11.35 all V_9 W_6 (number_number_of_int(hAPP_int_int(plus_plus_int(V_9),W_6))=hAPP_int_int(plus_plus_int(number_number_of_int(V_9)),number_number_of_int(W_6))).
% 11.39/11.35 all V_9 W_6 (number267125858f_real(hAPP_int_int(plus_plus_int(V_9),W_6))=hAPP_real_real(plus_plus_real(number267125858f_real(V_9)),number267125858f_real(W_6))).
% 11.39/11.35 all V_8 W_5 (hAPP_int_int(plus_plus_int(number_number_of_int(V_8)),number_number_of_int(W_5))=number_number_of_int(hAPP_int_int(plus_plus_int(V_8),W_5))).
% 11.39/11.35 all V_8 W_5 (hAPP_real_real(plus_plus_real(number267125858f_real(V_8)),number267125858f_real(W_5))=number267125858f_real(hAPP_int_int(plus_plus_int(V_8),W_5))).
% 11.39/11.35 all V_7 W_4 Z_14 (hAPP_int_int(plus_plus_int(number_number_of_int(V_7)),hAPP_int_int(plus_plus_int(number_number_of_int(W_4)),Z_14))=hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_7),W_4))),Z_14)).
% 11.39/11.35 all V_7 W_4 Z_14 (hAPP_real_real(plus_plus_real(number267125858f_real(V_7)),hAPP_real_real(plus_plus_real(number267125858f_real(W_4)),Z_14))=hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_7),W_4))),Z_14)).
% 11.39/11.35 all V_6 W_3 (number_number_of_int(hAPP_int_int(minus_minus_int(V_6),W_3))=hAPP_int_int(minus_minus_int(number_number_of_int(V_6)),number_number_of_int(W_3))).
% 11.39/11.35 all V_6 W_3 (number267125858f_real(hAPP_int_int(minus_minus_int(V_6),W_3))=hAPP_real_real(minus_minus_real(number267125858f_real(V_6)),number267125858f_real(W_3))).
% 11.39/11.35 all M_5 (hAPP_int_int(plus_plus_int(M_5),M_5)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),M_5)).
% 11.39/11.35 all M_5 (hAPP_real_real(plus_plus_real(M_5),M_5)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),M_5)).
% 11.39/11.35 all M_5 (hAPP_nat_nat(plus_plus_nat(M_5),M_5)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)),M_5)).
% 11.39/11.35 all M_4 A_65 (hAPP_int_int(plus_plus_int(M_4),hAPP_int_int(times_times_int(A_65),M_4))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_65),one_one_int)),M_4)).
% 11.39/11.35 all M_4 A_65 (hAPP_real_real(plus_plus_real(M_4),hAPP_real_real(times_times_real(A_65),M_4))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_65),one_one_real)),M_4)).
% 11.39/11.35 all M_4 A_65 (hAPP_nat_nat(plus_plus_nat(M_4),hAPP_nat_nat(times_times_nat(A_65),M_4))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_65),one_one_nat)),M_4)).
% 11.39/11.35 all A_64 M_3 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_64),M_3)),M_3)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_64),one_one_int)),M_3)).
% 11.39/11.35 all A_64 M_3 (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_64),M_3)),M_3)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_64),one_one_real)),M_3)).
% 11.39/11.35 all A_64 M_3 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_64),M_3)),M_3)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_64),one_one_nat)),M_3)).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))->hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 11.39/11.35 all F Aa Ba (hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))->hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))).
% 11.39/11.35 all X_37 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_37),X_37)).
% 11.39/11.35 all X_37 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_37),X_37)).
% 11.39/11.35 all X_37 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_37),X_37)).
% 11.39/11.35 all Z_13 Y_36 X_36 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_36),X_36))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_13),Y_36))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_13),X_36)))).
% 11.39/11.35 all Z_13 Y_36 X_36 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_36),X_36))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_13),Y_36))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_13),X_36)))).
% 11.39/11.35 all Z_13 Y_36 X_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_36),X_36))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_13),Y_36))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_13),X_36)))).
% 11.39/11.35 all Z_12 X_35 Y_35 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_35),Y_35))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_35),Z_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Z_12)))).
% 11.39/11.35 all Z_12 X_35 Y_35 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_35),Y_35))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_35),Z_12))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_35),Z_12)))).
% 11.39/11.35 all Z_12 X_35 Y_35 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_35),Y_35))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_35),Z_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Z_12)))).
% 11.39/11.35 all Z_11 Y_34 X_34 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_34),X_34))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_11),Y_34))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_11),X_34)))).
% 11.39/11.35 all Z_11 Y_34 X_34 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_34),X_34))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_11),Y_34))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_11),X_34)))).
% 11.39/11.35 all Z_11 Y_34 X_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_34),X_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_11),Y_34))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_11),X_34)))).
% 11.39/11.35 all Z_10 X_33 Y_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_33),Y_33))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_33),Z_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_33),Z_10)))).
% 11.39/11.35 all Z_10 X_33 Y_33 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_33),Y_33))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_33),Z_10))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_33),Z_10)))).
% 11.39/11.35 all Z_10 X_33 Y_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_33),Y_33))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_33),Z_10))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_33),Z_10)))).
% 11.39/11.35 all B_48 A_63 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_48),A_63))-> (A_63!=B_48->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_48),A_63)))).
% 11.39/11.35 all B_48 A_63 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_48),A_63))-> (A_63!=B_48->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_48),A_63)))).
% 11.39/11.35 all B_48 A_63 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_48),A_63))-> (A_63!=B_48->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_48),A_63)))).
% 11.39/11.35 all A_62 B_47 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_62),B_47))-> (A_62!=B_47->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_62),B_47)))).
% 11.39/11.35 all A_62 B_47 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_62),B_47))-> (A_62!=B_47->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_62),B_47)))).
% 11.39/11.35 all A_62 B_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_62),B_47))-> (A_62!=B_47->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_62),B_47)))).
% 11.39/11.35 all X_32 Y_32 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_32),Y_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_32),Y_32))|X_32=Y_32).
% 11.39/11.35 all X_32 Y_32 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_32),Y_32))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_32),Y_32))|X_32=Y_32).
% 11.39/11.35 all X_32 Y_32 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_32),Y_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_32),Y_32))|X_32=Y_32).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all X_31 Y_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_31),Y_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_31),Y_31))).
% 11.39/11.35 all X_31 Y_31 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_31),Y_31))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_31),Y_31))).
% 11.39/11.35 all X_31 Y_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_31),Y_31))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_31),Y_31))).
% 11.39/11.35 all W_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),W_1)).
% 11.39/11.35 all K (number_number_of_int(K)=K).
% 11.39/11.35 all Z_1 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1))).
% 11.39/11.35 all Z W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),W))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))&Z!=W).
% 11.39/11.35 all X 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))).
% 11.39/11.35 all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_1)),number_number_of_int(L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 11.39/11.35 all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K_1)),number_number_of_int(L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 11.39/11.35 all K I J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),J))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J),K))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),K)))).
% 11.39/11.35 all Z_1 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1))->Z_1=W_1)).
% 11.39/11.35 all X_30 Y_30 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_30),Y_30))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_30),X_30))).
% 11.39/11.35 all X_30 Y_30 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_30),Y_30))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_30),X_30))).
% 11.39/11.35 all X_30 Y_30 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Y_30))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_30),X_30))).
% 11.39/11.35 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))).
% 11.39/11.35 all X_29 Y_29 (X_29=Y_29->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_29),Y_29))).
% 11.39/11.35 all X_29 Y_29 (X_29=Y_29->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_29),Y_29))).
% 11.39/11.35 all X_29 Y_29 (X_29=Y_29->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_29),Y_29))).
% 11.39/11.35 all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all Y_1 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all C_23 A_61 B_46 (A_61=B_46-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_46),C_23))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_61),C_23)))).
% 11.39/11.35 all C_23 A_61 B_46 (A_61=B_46-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_46),C_23))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_61),C_23)))).
% 11.39/11.35 all C_23 A_61 B_46 (A_61=B_46-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_46),C_23))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_61),C_23)))).
% 11.39/11.35 all C_22 A_60 B_45 (A_60=B_45-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_22),B_45))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_22),A_60)))).
% 11.39/11.35 all C_22 A_60 B_45 (A_60=B_45-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_22),B_45))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_22),A_60)))).
% 11.39/11.35 all C_22 A_60 B_45 (A_60=B_45-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_22),B_45))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_22),A_60)))).
% 11.39/11.35 all C_21 A_59 B_44 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_59),B_44))-> (B_44=C_21->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_59),C_21)))).
% 11.39/11.35 all C_21 A_59 B_44 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_59),B_44))-> (B_44=C_21->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_59),C_21)))).
% 11.39/11.35 all C_21 A_59 B_44 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_59),B_44))-> (B_44=C_21->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_59),C_21)))).
% 11.39/11.35 all C_20 B_43 A_58 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_43),A_58))-> (B_43=C_20->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_20),A_58)))).
% 11.39/11.35 all C_20 B_43 A_58 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_43),A_58))-> (B_43=C_20->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_20),A_58)))).
% 11.39/11.35 all C_20 B_43 A_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_43),A_58))-> (B_43=C_20->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_20),A_58)))).
% 11.39/11.35 all X_28 Y_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_28),Y_28))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_28),X_28))->X_28=Y_28)).
% 11.39/11.35 all X_28 Y_28 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_28),Y_28))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_28),X_28))->X_28=Y_28)).
% 11.39/11.35 all X_28 Y_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_28),Y_28))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_28),X_28))->X_28=Y_28)).
% 11.39/11.35 all Z_9 X_27 Y_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),Y_27))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_27),Z_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),Z_9)))).
% 11.39/11.35 all Z_9 X_27 Y_27 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_27),Y_27))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_27),Z_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_27),Z_9)))).
% 11.39/11.35 all Z_9 X_27 Y_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Y_27))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_27),Z_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Z_9)))).
% 11.39/11.35 all Y_26 X_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_26),X_26))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_26),Y_26))->X_26=Y_26)).
% 11.39/11.35 all Y_26 X_26 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_26),X_26))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_26),Y_26))->X_26=Y_26)).
% 11.39/11.35 all Y_26 X_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_26),X_26))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_26),Y_26))->X_26=Y_26)).
% 11.39/11.35 all Z_8 Y_25 X_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_25),X_25))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),Y_25))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),X_25)))).
% 11.39/11.35 all Z_8 Y_25 X_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_25),X_25))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_8),Y_25))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_8),X_25)))).
% 11.39/11.35 all Z_8 Y_25 X_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_25),X_25))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),Y_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),X_25)))).
% 11.39/11.35 all X_24 Y_24 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_24),Y_24))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_24),X_24))).
% 11.39/11.35 all X_24 Y_24 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_24))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_24),X_24))).
% 11.39/11.35 all X_24 Y_24 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_24),Y_24))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_24),X_24))).
% 11.39/11.35 all X_23 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_23),X_23))).
% 11.39/11.35 all X_23 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_23),X_23))).
% 11.39/11.35 all X_23 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),X_23))).
% 11.39/11.35 all X_1 Y_1 (X_1!=Y_1<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (X_1!=Y_1<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (X_1!=Y_1<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))|X_1=Y_1).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))|X_1=Y_1).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))|X_1=Y_1).
% 11.39/11.35 all X_22 Y_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_22),Y_23))|X_22=Y_23|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_23),X_22))).
% 11.39/11.35 all X_22 Y_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_22),Y_23))|X_22=Y_23|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_23),X_22))).
% 11.39/11.35 all X_22 Y_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Y_23))|X_22=Y_23|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_23),X_22))).
% 11.39/11.35 all Y_1 X_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all Y_1 X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all Y_1 X_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all X_21 Y_22 (X_21!=Y_22-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_21),Y_22))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_22),X_21)))).
% 11.39/11.35 all X_21 Y_22 (X_21!=Y_22-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_21),Y_22))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_22),X_21)))).
% 11.39/11.35 all X_21 Y_22 (X_21!=Y_22-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_22))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_22),X_21)))).
% 11.39/11.35 all X_20 Y_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_20),Y_21))->X_20!=Y_21).
% 11.39/11.35 all X_20 Y_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_20),Y_21))->X_20!=Y_21).
% 11.39/11.35 all X_20 Y_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_21))->X_20!=Y_21).
% 11.39/11.35 all X_19 Y_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_19),Y_20))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_20),X_19))).
% 11.39/11.35 all X_19 Y_20 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_19),Y_20))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_20),X_19))).
% 11.39/11.35 all X_19 Y_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_19),Y_20))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_20),X_19))).
% 11.39/11.35 all X_18 Y_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Y_19))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_19),X_18))).
% 11.39/11.35 all X_18 Y_19 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_18),Y_19))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_19),X_18))).
% 11.39/11.35 all X_18 Y_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_19))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_19),X_18))).
% 11.39/11.35 all X_17 Y_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_17),Y_18))->X_17!=Y_18).
% 11.39/11.35 all X_17 Y_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_17),Y_18))->X_17!=Y_18).
% 11.39/11.35 all X_17 Y_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_17),Y_18))->X_17!=Y_18).
% 11.39/11.35 all X_16 Y_17 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_16),Y_17))->Y_17!=X_16).
% 11.39/11.35 all X_16 Y_17 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_16),Y_17))->Y_17!=X_16).
% 11.39/11.35 all X_16 Y_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_16),Y_17))->Y_17!=X_16).
% 11.39/11.35 all P_1 X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))->hBOOL(P_1))).
% 11.39/11.35 all P_1 X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))->hBOOL(P_1))).
% 11.39/11.35 all P_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))->hBOOL(P_1))).
% 11.39/11.35 all A_57 B_42 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_57),B_42))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_42),A_57))).
% 11.39/11.35 all A_57 B_42 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_57),B_42))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_42),A_57))).
% 11.39/11.35 all A_57 B_42 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_57),B_42))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_42),A_57))).
% 11.39/11.35 all B_41 A_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),A_56))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_56),B_41))).
% 11.39/11.35 all B_41 A_56 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),A_56))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_56),B_41))).
% 11.39/11.35 all B_41 A_56 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),A_56))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_56),B_41))).
% 11.39/11.35 all C_19 A_55 B_40 (A_55=B_40-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_40),C_19))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_55),C_19)))).
% 11.39/11.35 all C_19 A_55 B_40 (A_55=B_40-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_40),C_19))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_55),C_19)))).
% 11.39/11.35 all C_19 A_55 B_40 (A_55=B_40-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_40),C_19))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_55),C_19)))).
% 11.39/11.35 all C_18 A_54 B_39 (A_54=B_39-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),B_39))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),A_54)))).
% 11.39/11.35 all C_18 A_54 B_39 (A_54=B_39-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),B_39))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),A_54)))).
% 11.39/11.35 all C_18 A_54 B_39 (A_54=B_39-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),B_39))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),A_54)))).
% 11.39/11.35 all C_17 A_53 B_38 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_53),B_38))-> (B_38=C_17->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_53),C_17)))).
% 11.39/11.35 all C_17 A_53 B_38 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_53),B_38))-> (B_38=C_17->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_53),C_17)))).
% 11.39/11.35 all C_17 A_53 B_38 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_53),B_38))-> (B_38=C_17->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_53),C_17)))).
% 11.39/11.35 all C_16 B_37 A_52 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_37),A_52))-> (B_37=C_16->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_16),A_52)))).
% 11.39/11.35 all C_16 B_37 A_52 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_37),A_52))-> (B_37=C_16->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_16),A_52)))).
% 11.39/11.35 all C_16 B_37 A_52 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_37),A_52))-> (B_37=C_16->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_16),A_52)))).
% 11.39/11.35 all Z_7 X_15 Y_16 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_16))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_16),Z_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Z_7)))).
% 11.39/11.35 all Z_7 X_15 Y_16 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Y_16))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_16),Z_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Z_7)))).
% 11.39/11.35 all Z_7 X_15 Y_16 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Y_16))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_16),Z_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Z_7)))).
% 11.39/11.35 all Z_6 Y_15 X_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_15),X_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),Y_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),X_14)))).
% 11.39/11.35 all Z_6 Y_15 X_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_15),X_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_6),Y_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_6),X_14)))).
% 11.39/11.35 all Z_6 Y_15 X_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_15),X_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_6),Y_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_6),X_14)))).
% 11.39/11.35 all X_13 Y_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_13),Y_14))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_14),X_13))).
% 11.39/11.35 all X_13 Y_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_13),Y_14))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_14),X_13))).
% 11.39/11.35 all X_13 Y_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_14))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_14),X_13))).
% 11.39/11.35 all X_12 Y_13 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_12),Y_13))-> (X_12!=Y_13->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_13),X_12)))).
% 11.39/11.35 all X_12 Y_13 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_12),Y_13))-> (X_12!=Y_13->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_13),X_12)))).
% 11.39/11.35 all X_12 Y_13 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_12),Y_13))-> (X_12!=Y_13->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_12)))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))).
% 11.39/11.35 all X_11 Y_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_11),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_12),X_11))).
% 11.39/11.35 all X_11 Y_12 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_11),Y_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_12),X_11))).
% 11.39/11.35 all X_11 Y_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_11),Y_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_11))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))&X_1!=Y_1).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))&X_1!=Y_1).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))&X_1!=Y_1).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))& -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))& -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1=Y_1).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1=Y_1).
% 11.39/11.35 all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1=Y_1).
% 11.39/11.35 all X_10 Y_11 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_10),Y_11))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_11),X_10))).
% 11.39/11.35 all X_10 Y_11 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_10),Y_11))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_11),X_10))).
% 11.39/11.35 all X_10 Y_11 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_11),X_10))).
% 11.39/11.35 all Y_10 X_9 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_10),X_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),Y_10))).
% 11.39/11.35 all Y_10 X_9 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_10),X_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_9),Y_10))).
% 11.39/11.35 all Y_10 X_9 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_10),X_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_10))).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all X_1 Y_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))<->X_1=Y_1)).
% 11.39/11.35 all A_51 B_36 (A_51!=B_36-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_51),B_36))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_51),B_36)))).
% 11.39/11.35 all A_51 B_36 (A_51!=B_36-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_51),B_36))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_51),B_36)))).
% 11.39/11.35 all A_51 B_36 (A_51!=B_36-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_51),B_36))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_51),B_36)))).
% 11.39/11.35 all A_50 B_35 (A_50!=B_35-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_35),A_50))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_35),A_50)))).
% 11.39/11.35 all A_50 B_35 (A_50!=B_35-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_35),A_50))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_35),A_50)))).
% 11.39/11.35 all A_50 B_35 (A_50!=B_35-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_35),A_50))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_35),A_50)))).
% 11.39/11.35 all Y_9 X_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_9),X_8))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_8),Y_9))).
% 11.39/11.35 all Y_9 X_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_9),X_8))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_8),Y_9))).
% 11.39/11.35 all Y_9 X_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_9),X_8))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_9))).
% 11.39/11.35 all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))).
% 11.39/11.35 all P_1 I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 11.39/11.35 all P_1 I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(K_1),one_one_int)))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 11.39/11.35 all P_1 K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 11.39/11.35 all P_1 K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_1),one_one_int)))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 11.39/11.35 all Z_5 Y_8 ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Z_5))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_8),Z_5))).
% 11.39/11.35 all Z_4 X_7 Y_7 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_7),Y_7))-> ((all W_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_7),W_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,W_2),Y_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_2),Z_4)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_7),Z_4)))).
% 11.39/11.35 all I_1 P_1 K_1 (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_2),one_one_int))))))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 11.39/11.35 all B 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),C))->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)))).
% 11.39/11.35 all X_1 P_1 ((all A_49 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_49))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(A_49),one_one_int))))->hBOOL(hAPP_int_bool(P_1,A_49))))->hBOOL(hAPP_int_bool(P_1,X_1))).
% 11.39/11.35 all V_5 U_2 Y_6 X_6 A_48 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_6),A_48))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_6),A_48))-> (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_5))-> (hAPP_int_int(plus_plus_int(U_2),V_5)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(U_2),X_6)),hAPP_int_int(times_times_int(V_5),Y_6))),A_48))))))).
% 11.39/11.35 all V_5 U_2 Y_6 X_6 A_48 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_6),A_48))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_6),A_48))-> (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_5))-> (hAPP_real_real(plus_plus_real(U_2),V_5)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(U_2),X_6)),hAPP_real_real(times_times_real(V_5),Y_6))),A_48))))))).
% 11.39/11.35 all V_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_1)),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(number267125858f_real(V_1)),one_one_real)),X_1))).
% 11.39/11.35 all X_1 V_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),number_number_of_int(V_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(minus_minus_real(number267125858f_real(V_1)),one_one_real)))).
% 11.39/11.35 all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 11.39/11.35 all X_1 (zero_zero_int=X_1<->X_1=zero_zero_int).
% 11.39/11.35 all X_1 (zero_zero_real=X_1<->X_1=zero_zero_real).
% 11.39/11.35 all X_1 (zero_zero_nat=X_1<->X_1=zero_zero_nat).
% 11.39/11.35 archim856651990g_real(zero_zero_real)=zero_zero_int.
% 11.39/11.35 all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),zero_zero_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))).
% 11.39/11.35 all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),one_one_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))).
% 11.39/11.35 all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 11.39/11.35 all A_47 (hAPP_nat_nat(times_times_nat(zero_zero_nat),A_47)=zero_zero_nat).
% 11.39/11.35 all A_47 (hAPP_real_real(times_times_real(zero_zero_real),A_47)=zero_zero_real).
% 11.39/11.35 all A_47 (hAPP_int_int(times_times_int(zero_zero_int),A_47)=zero_zero_int).
% 11.39/11.35 all A_46 (hAPP_nat_nat(times_times_nat(A_46),zero_zero_nat)=zero_zero_nat).
% 11.39/11.35 all A_46 (hAPP_real_real(times_times_real(A_46),zero_zero_real)=zero_zero_real).
% 11.39/11.35 all A_46 (hAPP_int_int(times_times_int(A_46),zero_zero_int)=zero_zero_int).
% 11.39/11.35 all A_45 (hAPP_nat_nat(times_times_nat(zero_zero_nat),A_45)=zero_zero_nat).
% 11.39/11.35 all A_45 (hAPP_real_real(times_times_real(zero_zero_real),A_45)=zero_zero_real).
% 11.39/11.35 all A_45 (hAPP_int_int(times_times_int(zero_zero_int),A_45)=zero_zero_int).
% 11.39/11.35 all B_34 (hAPP_real_real(times_times_real(zero_zero_real),B_34)=zero_zero_real).
% 11.39/11.35 all Y_5 (hAPP_real_real(times_times_real(zero_zero_real),Y_5)=zero_zero_real).
% 11.39/11.35 all A_44 (hAPP_nat_nat(times_times_nat(A_44),zero_zero_nat)=zero_zero_nat).
% 11.39/11.35 all A_44 (hAPP_real_real(times_times_real(A_44),zero_zero_real)=zero_zero_real).
% 11.39/11.35 all A_44 (hAPP_int_int(times_times_int(A_44),zero_zero_int)=zero_zero_int).
% 11.39/11.35 all A_43 (hAPP_real_real(times_times_real(A_43),zero_zero_real)=zero_zero_real).
% 11.39/11.35 all X_5 (hAPP_real_real(times_times_real(X_5),zero_zero_real)=zero_zero_real).
% 11.39/11.35 all Aa Ba (hAPP_real_real(times_times_real(Aa),Ba)=zero_zero_real<->Aa=zero_zero_real|Ba=zero_zero_real).
% 11.39/11.35 all Aa Ba (hAPP_int_int(times_times_int(Aa),Ba)=zero_zero_int<->Aa=zero_zero_int|Ba=zero_zero_int).
% 11.39/11.35 all B_33 A_42 (A_42!=zero_zero_nat-> (B_33!=zero_zero_nat->hAPP_nat_nat(times_times_nat(A_42),B_33)!=zero_zero_nat)).
% 11.39/11.35 all B_33 A_42 (A_42!=zero_zero_real-> (B_33!=zero_zero_real->hAPP_real_real(times_times_real(A_42),B_33)!=zero_zero_real)).
% 11.39/11.35 all B_33 A_42 (A_42!=zero_zero_int-> (B_33!=zero_zero_int->hAPP_int_int(times_times_int(A_42),B_33)!=zero_zero_int)).
% 11.39/11.35 all A_41 B_32 (hAPP_nat_nat(times_times_nat(A_41),B_32)=zero_zero_nat->A_41=zero_zero_nat|B_32=zero_zero_nat).
% 11.39/11.35 all A_41 B_32 (hAPP_real_real(times_times_real(A_41),B_32)=zero_zero_real->A_41=zero_zero_real|B_32=zero_zero_real).
% 11.39/11.35 all A_41 B_32 (hAPP_int_int(times_times_int(A_41),B_32)=zero_zero_int->A_41=zero_zero_int|B_32=zero_zero_int).
% 11.39/11.35 all A_40 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_40)=A_40).
% 11.39/11.35 all A_40 (hAPP_real_real(plus_plus_real(zero_zero_real),A_40)=A_40).
% 11.39/11.35 all A_40 (hAPP_int_int(plus_plus_int(zero_zero_int),A_40)=A_40).
% 11.39/11.35 all A_39 (hAPP_nat_nat(plus_plus_nat(A_39),zero_zero_nat)=A_39).
% 11.39/11.35 all A_39 (hAPP_real_real(plus_plus_real(A_39),zero_zero_real)=A_39).
% 11.39/11.35 all A_39 (hAPP_int_int(plus_plus_int(A_39),zero_zero_int)=A_39).
% 11.39/11.35 all Ba Aa (Ba=hAPP_nat_nat(plus_plus_nat(Ba),Aa)<->Aa=zero_zero_nat).
% 11.39/11.35 all Ba Aa (Ba=hAPP_real_real(plus_plus_real(Ba),Aa)<->Aa=zero_zero_real).
% 11.39/11.35 all Ba Aa (Ba=hAPP_int_int(plus_plus_int(Ba),Aa)<->Aa=zero_zero_int).
% 11.39/11.35 all A_38 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_38)=A_38).
% 11.39/11.35 all A_38 (hAPP_real_real(plus_plus_real(zero_zero_real),A_38)=A_38).
% 11.39/11.35 all A_38 (hAPP_int_int(plus_plus_int(zero_zero_int),A_38)=A_38).
% 11.39/11.35 all A_37 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_37)=A_37).
% 11.39/11.35 all A_37 (hAPP_real_real(plus_plus_real(zero_zero_real),A_37)=A_37).
% 11.39/11.35 all A_37 (hAPP_int_int(plus_plus_int(zero_zero_int),A_37)=A_37).
% 11.39/11.35 all Aa (zero_zero_real=hAPP_real_real(plus_plus_real(Aa),Aa)<->Aa=zero_zero_real).
% 11.39/11.35 all Aa (zero_zero_int=hAPP_int_int(plus_plus_int(Aa),Aa)<->Aa=zero_zero_int).
% 11.39/11.35 all A_36 (hAPP_nat_nat(plus_plus_nat(A_36),zero_zero_nat)=A_36).
% 11.39/11.35 all A_36 (hAPP_real_real(plus_plus_real(A_36),zero_zero_real)=A_36).
% 11.39/11.35 all A_36 (hAPP_int_int(plus_plus_int(A_36),zero_zero_int)=A_36).
% 11.39/11.35 all A_35 (hAPP_nat_nat(plus_plus_nat(A_35),zero_zero_nat)=A_35).
% 11.39/11.35 all A_35 (hAPP_real_real(plus_plus_real(A_35),zero_zero_real)=A_35).
% 11.39/11.35 all A_35 (hAPP_int_int(plus_plus_int(A_35),zero_zero_int)=A_35).
% 11.39/11.35 all Aa (hAPP_real_real(plus_plus_real(Aa),Aa)=zero_zero_real<->Aa=zero_zero_real).
% 11.39/11.35 all Aa (hAPP_int_int(plus_plus_int(Aa),Aa)=zero_zero_int<->Aa=zero_zero_int).
% 11.39/11.35 one_one_nat!=zero_zero_nat.
% 11.39/11.35 one_one_real!=zero_zero_real.
% 11.39/11.35 one_one_int!=zero_zero_int.
% 11.39/11.35 zero_zero_nat!=one_one_nat.
% 11.39/11.35 zero_zero_real!=one_one_real.
% 11.39/11.35 zero_zero_int!=one_one_int.
% 11.39/11.35 all A_34 (hAPP_real_real(minus_minus_real(A_34),zero_zero_real)=A_34).
% 11.39/11.35 all A_34 (hAPP_int_int(minus_minus_int(A_34),zero_zero_int)=A_34).
% 11.39/11.35 all A_33 (hAPP_real_real(minus_minus_real(A_33),A_33)=zero_zero_real).
% 11.39/11.35 all A_33 (hAPP_int_int(minus_minus_int(A_33),A_33)=zero_zero_int).
% 11.39/11.35 all Aa Ba (Aa=Ba<->hAPP_real_real(minus_minus_real(Aa),Ba)=zero_zero_real).
% 11.39/11.35 all Aa Ba (Aa=Ba<->hAPP_int_int(minus_minus_int(Aa),Ba)=zero_zero_int).
% 11.39/11.35 all Aa Ba (hAPP_real_real(minus_minus_real(Aa),Ba)=zero_zero_real<->Aa=Ba).
% 11.39/11.35 all Aa Ba (hAPP_int_int(minus_minus_int(Aa),Ba)=zero_zero_int<->Aa=Ba).
% 11.39/11.35 zero_zero_int!=one_one_int.
% 11.39/11.35 all Z_1 (hAPP_int_int(plus_plus_int(zero_zero_int),Z_1)=Z_1).
% 11.39/11.35 all Z_1 (hAPP_int_int(plus_plus_int(Z_1),zero_zero_int)=Z_1).
% 11.39/11.35 all X_4 Y_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_4)),archim856651990g_real(Y_4)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_4),Y_4))).
% 11.39/11.35 all Y_3 X_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_3),X_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(Y_3)),archim856651990g_real(X_3)))).
% 11.39/11.35 archim856651990g_real(one_one_real)=one_one_int.
% 11.39/11.35 all V_4 (archim856651990g_real(number267125858f_real(V_4))=number_number_of_int(V_4)).
% 11.39/11.35 all A_32 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_32),A_32))).
% 11.39/11.35 all A_32 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_32),A_32))).
% 11.39/11.35 all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))).
% 11.39/11.35 all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))).
% 11.39/11.35 all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))).
% 11.39/11.35 all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))).
% 11.39/11.35 all B_31 A_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_31))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_31))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_31),B_31))))).
% 11.39/11.35 all B_31 A_31 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_31))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_31))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_31),B_31))))).
% 11.39/11.35 all B_31 A_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_31))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_31),B_31))))).
% 11.39/11.35 all B_30 A_30 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_30))-> (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,hAPP_nat_nat(times_times_nat(A_30),B_30)),zero_zero_nat)))).
% 11.39/11.35 all B_30 A_30 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_30))-> (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,hAPP_real_real(times_times_real(A_30),B_30)),zero_zero_real)))).
% 11.39/11.35 all B_30 A_30 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_30))-> (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,hAPP_int_int(times_times_int(A_30),B_30)),zero_zero_int)))).
% 11.39/11.35 all B_29 A_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_29))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_29),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(B_29),A_29)),zero_zero_nat)))).
% 11.39/11.35 all B_29 A_29 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_29))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_29),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(B_29),A_29)),zero_zero_real)))).
% 11.39/11.35 all B_29 A_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_29))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_29),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(B_29),A_29)),zero_zero_int)))).
% 11.39/11.35 all B_28 A_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_28),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_28))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_28),B_28)),zero_zero_nat)))).
% 11.39/11.35 all B_28 A_28 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_28),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_28))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_28),B_28)),zero_zero_real)))).
% 11.39/11.35 all B_28 A_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_28),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_28))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_28),B_28)),zero_zero_int)))).
% 11.39/11.35 all B_27 A_27 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_27),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_27),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_27),B_27))))).
% 11.39/11.35 all B_27 A_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_27),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_27),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_27),B_27))))).
% 11.39/11.35 all C_15 A_26 B_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_26),B_26))-> (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_e_q_nat,hAPP_nat_nat(times_times_nat(A_26),C_15)),hAPP_nat_nat(times_times_nat(B_26),C_15))))).
% 11.39/11.35 all C_15 A_26 B_26 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_26),B_26))-> (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_e_q_real,hAPP_real_real(times_times_real(A_26),C_15)),hAPP_real_real(times_times_real(B_26),C_15))))).
% 11.39/11.35 all C_15 A_26 B_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),B_26))-> (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_e_q_int,hAPP_int_int(times_times_int(A_26),C_15)),hAPP_int_int(times_times_int(B_26),C_15))))).
% 11.39/11.35 all C_14 A_25 B_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_25),B_25))-> (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_e_q_nat,hAPP_nat_nat(times_times_nat(C_14),A_25)),hAPP_nat_nat(times_times_nat(C_14),B_25))))).
% 11.39/11.35 all C_14 A_25 B_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_25),B_25))-> (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_e_q_real,hAPP_real_real(times_times_real(C_14),A_25)),hAPP_real_real(times_times_real(C_14),B_25))))).
% 11.39/11.35 all C_14 A_25 B_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_25),B_25))-> (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_e_q_int,hAPP_int_int(times_times_int(C_14),A_25)),hAPP_int_int(times_times_int(C_14),B_25))))).
% 11.39/11.35 all C_13 A_24 B_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_24))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(C_13),A_24)),hAPP_nat_nat(times_times_nat(C_13),B_24))))).
% 11.39/11.35 all C_13 A_24 B_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_24))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(C_13),A_24)),hAPP_real_real(times_times_real(C_13),B_24))))).
% 11.39/11.35 all C_13 A_24 B_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_24))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(C_13),A_24)),hAPP_int_int(times_times_int(C_13),B_24))))).
% 11.39/11.35 all C_12 B_23 A_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_23),A_23))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_12),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_23),C_12)),hAPP_real_real(times_times_real(B_23),C_12))))).
% 11.39/11.35 all C_12 B_23 A_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_23),A_23))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_12),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_23),C_12)),hAPP_int_int(times_times_int(B_23),C_12))))).
% 11.39/11.35 all C_11 B_22 A_22 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_22),A_22))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_11),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(C_11),A_22)),hAPP_real_real(times_times_real(C_11),B_22))))).
% 11.39/11.35 all C_11 B_22 A_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_22),A_22))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_11),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(C_11),A_22)),hAPP_int_int(times_times_int(C_11),B_22))))).
% 11.39/11.35 all C_10 D_4 A_21 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_21),B_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_10),D_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_10))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_21),C_10)),hAPP_nat_nat(times_times_nat(B_21),D_4))))))).
% 11.39/11.35 all C_10 D_4 A_21 B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_21),B_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_10),D_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_10))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_21),C_10)),hAPP_real_real(times_times_real(B_21),D_4))))))).
% 11.39/11.35 all C_10 D_4 A_21 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_21),B_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_10),D_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_21),C_10)),hAPP_int_int(times_times_int(B_21),D_4))))))).
% 11.39/11.35 all C_9 D_3 A_20 B_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_20),B_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_9),D_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_20),C_9)),hAPP_nat_nat(times_times_nat(B_20),D_3))))))).
% 11.39/11.35 all C_9 D_3 A_20 B_20 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_20),B_20))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_9),D_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_20))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_20),C_9)),hAPP_real_real(times_times_real(B_20),D_3))))))).
% 11.39/11.35 all C_9 D_3 A_20 B_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_20),B_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_9),D_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_20),C_9)),hAPP_int_int(times_times_int(B_20),D_3))))))).
% 11.39/11.35 all B_19 A_19 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_19))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_19))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_19),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_19),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_19),B_19)))).
% 11.39/11.35 all B_19 A_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_19))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_19))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_19),B_19)))).
% 11.39/11.35 all B_18 A_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_18))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_18),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_18),zero_zero_nat))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_18),B_18)),zero_zero_nat))).
% 11.39/11.35 all B_18 A_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_18))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_18),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_18),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_18))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_18),B_18)),zero_zero_real))).
% 11.39/11.35 all B_18 A_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_18))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_18),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_18),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_18))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_18),B_18)),zero_zero_int))).
% 11.39/11.35 all A_17 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_17),A_17)),zero_zero_real))).
% 11.39/11.35 all A_17 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_17),A_17)),zero_zero_int))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),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,Aa),Ba))|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,Ba),Aa))).
% 11.39/11.35 all Aa C_1 Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),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,Aa),Ba))|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,Ba),Aa))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))<->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,Aa),Ba))|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,Ba),Aa))).
% 11.39/11.35 all C_1 Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))<->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,Aa),Ba))|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,Ba),Aa))).
% 11.39/11.35 all Aa Ba 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,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)))).
% 11.39/11.35 all Aa Ba 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,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)))).
% 11.39/11.35 all B_17 A_16 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_16))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_16),B_17))))).
% 11.39/11.35 all B_17 A_16 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_16))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_17))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_16),B_17))))).
% 11.39/11.35 all B_17 A_16 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_16))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_16),B_17))))).
% 11.39/11.35 all B_16 A_15 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_15))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_16),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_15),B_16)),zero_zero_nat)))).
% 11.39/11.35 all B_16 A_15 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_15))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_16),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_15),B_16)),zero_zero_real)))).
% 11.39/11.35 all B_16 A_15 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_15))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_16),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_15),B_16)),zero_zero_int)))).
% 11.39/11.35 all B_15 A_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_15),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(B_15),A_14)),zero_zero_nat)))).
% 11.39/11.35 all B_15 A_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_15),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B_15),A_14)),zero_zero_real)))).
% 11.39/11.35 all B_15 A_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_15),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B_15),A_14)),zero_zero_int)))).
% 11.39/11.35 all A_13 B_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_13),B_14)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_14)))).
% 11.39/11.35 all A_13 B_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_13),B_14)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_14)))).
% 11.39/11.35 all A_13 B_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_13),B_14)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_14)))).
% 11.39/11.35 all B_13 A_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(B_13),A_12)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_13)))).
% 11.39/11.35 all B_13 A_12 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(B_13),A_12)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_12))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_13)))).
% 11.39/11.35 all B_13 A_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(B_13),A_12)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13)))).
% 11.39/11.35 all Aa Ba 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,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)))).
% 11.39/11.35 all Aa Ba 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,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)))).
% 11.39/11.35 all B_12 A_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_11),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_11),B_12)),zero_zero_nat)))).
% 11.39/11.35 all B_12 A_11 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_11),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_12))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_11),B_12)),zero_zero_real)))).
% 11.39/11.35 all B_12 A_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_11),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_11),B_12)),zero_zero_int)))).
% 11.39/11.35 all B_11 A_10 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_10),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_11),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_10),B_11))))).
% 11.39/11.35 all B_11 A_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_10),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_11),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_10),B_11))))).
% 11.39/11.35 all C_8 A_9 B_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_9),B_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_9),C_8)),hAPP_nat_nat(times_times_nat(B_10),C_8))))).
% 11.39/11.35 all C_8 A_9 B_10 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_9),B_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_9),C_8)),hAPP_real_real(times_times_real(B_10),C_8))))).
% 11.39/11.35 all C_8 A_9 B_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_9),B_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_9),C_8)),hAPP_int_int(times_times_int(B_10),C_8))))).
% 11.39/11.35 all C_7 A_8 B_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_9))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C_7),A_8)),hAPP_nat_nat(times_times_nat(C_7),B_9))))).
% 11.39/11.35 all C_7 A_8 B_9 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_8),B_9))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_7),A_8)),hAPP_real_real(times_times_real(C_7),B_9))))).
% 11.39/11.35 all C_7 A_8 B_9 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_8),B_9))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_7),A_8)),hAPP_int_int(times_times_int(C_7),B_9))))).
% 11.39/11.35 all C_6 A_7 B_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_7),B_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C_6),A_7)),hAPP_nat_nat(times_times_nat(C_6),B_8))))).
% 11.39/11.35 all C_6 A_7 B_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_7),B_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_6))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_6),A_7)),hAPP_real_real(times_times_real(C_6),B_8))))).
% 11.39/11.35 all C_6 A_7 B_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_7),B_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_6),A_7)),hAPP_int_int(times_times_int(C_6),B_8))))).
% 11.39/11.35 all C_5 B_7 A_6 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_7),A_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_5),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_6),C_5)),hAPP_real_real(times_times_real(B_7),C_5))))).
% 11.39/11.35 all C_5 B_7 A_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_7),A_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_5),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_6),C_5)),hAPP_int_int(times_times_int(B_7),C_5))))).
% 11.39/11.35 all C_4 B_6 A_5 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_6),A_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_4),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_4),A_5)),hAPP_real_real(times_times_real(C_4),B_6))))).
% 11.39/11.35 all C_4 B_6 A_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_6),A_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_4),A_5)),hAPP_int_int(times_times_int(C_4),B_6))))).
% 11.39/11.35 all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(Aa),Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))).
% 11.39/11.35 all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(Aa),Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))).
% 11.39/11.35 all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Aa),Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))).
% 11.39/11.35 all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Aa),Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))).
% 11.39/11.35 all B_5 A_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_4),B_5))))).
% 11.39/11.35 all B_5 A_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_5))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_4),B_5))))).
% 11.39/11.35 all B_5 A_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_4),B_5))))).
% 11.39/11.36 all Y_1 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_1))-> (hAPP_nat_nat(plus_plus_nat(X_1),Y_1)=zero_zero_nat<->X_1=zero_zero_nat&Y_1=zero_zero_nat))).
% 11.39/11.36 all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))-> (hAPP_real_real(plus_plus_real(X_1),Y_1)=zero_zero_real<->X_1=zero_zero_real&Y_1=zero_zero_real))).
% 11.39/11.36 all Y_1 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_e_q_int,zero_zero_int),Y_1))-> (hAPP_int_int(plus_plus_int(X_1),Y_1)=zero_zero_int<->X_1=zero_zero_int&Y_1=zero_zero_int))).
% 11.39/11.36 all B_4 C_3 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_4),C_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_4),hAPP_nat_nat(plus_plus_nat(A_3),C_3))))).
% 11.39/11.36 all B_4 C_3 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),C_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),hAPP_real_real(plus_plus_real(A_3),C_3))))).
% 11.39/11.36 all B_4 C_3 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),C_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),hAPP_int_int(plus_plus_int(A_3),C_3))))).
% 11.39/11.36 all B_3 A_2 C_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_3),A_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_3),hAPP_nat_nat(plus_plus_nat(A_2),C_2))))).
% 11.39/11.36 all B_3 A_2 C_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),A_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),hAPP_real_real(plus_plus_real(A_2),C_2))))).
% 11.39/11.36 all B_3 A_2 C_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),A_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),hAPP_int_int(plus_plus_int(A_2),C_2))))).
% 11.39/11.36 all B_2 A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_2),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_1),B_2)),zero_zero_nat)))).
% 11.39/11.36 all B_2 A_1 (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_2),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_1),B_2)),zero_zero_real)))).
% 11.39/11.36 all B_2 A_1 (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_2),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_1),B_2)),zero_zero_int)))).
% 11.39/11.36 all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(Aa),Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa))).
% 11.39/11.36 all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(Aa),Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa))).
% 11.39/11.36 all A 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!=hAPP_int_int(minus_minus_int(A),one_one_int)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),hAPP_int_int(minus_minus_int(A),one_one_int)))))).
% 11.39/11.36 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 11.39/11.36 all K I J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(K),I)),hAPP_int_int(times_times_int(K),J))))).
% 11.39/11.36 all Z_1 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_1)),Z_1)!=zero_zero_int).
% 11.39/11.36 all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(K_1),L)),zero_zero_int))).
% 11.39/11.36 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (hAPP_int_int(times_times_int(M_1),N_2)=one_one_int<->M_1=one_one_int&N_2=one_one_int)).
% 11.39/11.36 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z)),Z)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),zero_zero_int))).
% 11.39/11.36 all 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_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),Z_1)))).
% 11.39/11.36 all R Q A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (A=hAPP_int_int(plus_plus_int(R),hAPP_int_int(times_times_int(A),Q))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),one_one_int))))).
% 11.39/11.36 all R Q A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))-> (A=hAPP_int_int(plus_plus_int(R),hAPP_int_int(times_times_int(A),Q))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q))))).
% 11.39/11.36 all B Q R B_1 Q_1 R_1 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),B))-> (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_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)))))))).
% 11.39/11.36 all B Q_1 R_1 Q R (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)))))).
% 11.39/11.36 all B Q R B_1 Q_1 R_1 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_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,zero_zero_int),R))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)))))))).
% 11.39/11.36 all B Q_1 R_1 Q R (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)))-> (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,R_1),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)))))).
% 11.39/11.36 all B_1 Q_1 R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)),zero_zero_int))-> (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_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),zero_zero_int))))).
% 11.39/11.36 all B_1 Q_1 R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1))))).
% 11.39/11.36 all M R S T N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (xzgcd(M,N_1)=produc282740534nt_int(R,product_Pair_int_int(S,T))->R=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(S),M)),hAPP_int_int(times_times_int(T),N_1)))).
% 11.39/11.36 all M N_1 R_1 S_1 S T_1 T Rn Sn Tn R (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R))-> (xzgcda(M,N_1,R_1,R,S_1,S,T_1,T)=produc282740534nt_int(Rn,product_Pair_int_int(Sn,Tn))-> (R_1=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(S_1),M)),hAPP_int_int(times_times_int(T_1),N_1))-> (R=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(S),M)),hAPP_int_int(times_times_int(T),N_1))->Rn=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Sn),M)),hAPP_int_int(times_times_int(Tn),N_1)))))).
% 11.39/11.36 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),hAPP_int_int(plus_plus_int(X),Y))))).
% 11.39/11.36 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),hAPP_int_int(times_times_int(X),Y))))).
% 11.39/11.36 all B 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),hAPP_int_int(times_times_int(A),B)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)))).
% 11.39/11.36 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 11.39/11.36 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 11.39/11.36 all M N_1 (xzgcd(M,N_1)=xzgcda(M,N_1,M,N_1,one_one_int,zero_zero_int,zero_zero_int,one_one_int)).
% 11.39/11.36 all K_1 P_1 D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))-> ((all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(X_2),D_2)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(X_2),hAPP_int_int(times_times_int(K_1),D_2))))))))).
% 11.39/11.36 all K_1 P_1 D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))-> ((all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(X_2),D_2)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(X_2),hAPP_int_int(times_times_int(K_1),D_2))))))))).
% 11.39/11.36 all A B Q R (A=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)-> ((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),R))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),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),R))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R),zero_zero_int)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R))))).
% 11.39/11.36 all Y X ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->nat_tsub(X,Y)=hAPP_int_int(minus_minus_int(X),Y))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->nat_tsub(X,Y)=zero_zero_int)).
% 11.39/11.36 all B (B!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(zero_zero_int,B),product_Pair_int_int(zero_zero_int,zero_zero_int)))).
% 11.39/11.36 all A Q R (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(Q,R)))-> (A!=zero_zero_int->R=zero_zero_int)).
% 11.39/11.36 all Q_1 R_1 A B Q R (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q_1,R_1)))-> (B!=zero_zero_int->Q=Q_1))).
% 11.39/11.36 all Q_1 R_1 A B Q R (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q_1,R_1)))-> (B!=zero_zero_int->R=R_1))).
% 11.39/11.36 all A Q R (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(Q,R)))-> (A!=zero_zero_int->Q=one_one_int)).
% 11.39/11.36 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),nat_tsub(X,Y))))).
% 11.39/11.36 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->nat_tsub(X,Y)=hAPP_int_int(minus_minus_int(X),Y)).
% 11.39/11.36 all P_2 P_1 X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(P_1)<->hBOOL(P_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P_2))).
% 11.39/11.36 all P_2 P_1 X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(P_1)<->hBOOL(P_2)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P_1))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P_2)))).
% 11.39/11.36 all P_1 P1 D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))-> ((all X_2 K_2 (hBOOL(hAPP_int_bool(P1,X_2))<->hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int(X_2),hAPP_int_int(times_times_int(K_2),D_2))))))-> ((exists Z_3 all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z_3))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P1,X_2)))))-> ((exists X1 hBOOL(hAPP_int_bool(P1,X1)))-> (exists X1 hBOOL(hAPP_int_bool(P_1,X1))))))).
% 11.39/11.36 all P_1 P_2 D_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))-> ((all X_2 K_2 (hBOOL(hAPP_int_bool(P_2,X_2))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(X_2),hAPP_int_int(times_times_int(K_2),D_2))))))-> ((exists Z_3 all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),X_2))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P_2,X_2)))))-> ((exists X1 hBOOL(hAPP_int_bool(P_2,X1)))-> (exists X1 hBOOL(hAPP_int_bool(P_1,X1))))))).
% 11.39/11.36 all N_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))->zfact(N_1)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))->zfact(N_1)=hAPP_int_int(times_times_int(N_1),zfact(hAPP_int_int(minus_minus_int(N_1),one_one_int))))).
% 11.39/11.36 all B A (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_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(archim1246769320r_real(A)),archim1246769320r_real(B))),archim1246769320r_real(hAPP_real_real(times_times_real(A),B)))))).
% 11.39/11.36 all B 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,zero_zero_int),B))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),posDivAlg(A,B))))).
% 11.39/11.36 all Z_1 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_1),hAPP_int_int(plus_plus_int(X),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(abs_abs_int(hAPP_int_int(minus_minus_int(X),Z_1))),one_one_int)),D_1))))).
% 11.39/11.36 all X Z_1 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,hAPP_int_int(minus_minus_int(X),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(abs_abs_int(hAPP_int_int(minus_minus_int(X),Z_1))),one_one_int)),D_1))),Z_1))).
% 11.39/11.36 all W_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_1),W_1)).
% 11.39/11.36 all Z_1 W_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),W_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_1),Z_1))).
% 11.39/11.36 all Z_1 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,hAPP_real_real(plus_plus_real(Z_1),X)),hAPP_real_real(plus_plus_real(Z_1),Y)))).
% 11.39/11.36 all K I J (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I),J))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J),K))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I),K)))).
% 11.39/11.36 all Z_1 W_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),W_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_1),Z_1))->Z_1=W_1)).
% 11.39/11.36 all Z1 Z2 W_1 (hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(Z1),Z2)),W_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Z1),W_1)),hAPP_real_real(times_times_real(Z2),W_1))).
% 11.39/11.36 all Z1 Z2 Z3 (hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Z1),Z2)),Z3)=hAPP_real_real(times_times_real(Z1),hAPP_real_real(times_times_real(Z2),Z3))).
% 11.39/11.36 all Z_1 W_1 (hAPP_real_real(times_times_real(Z_1),W_1)=hAPP_real_real(times_times_real(W_1),Z_1)).
% 11.39/11.36 all Z_1 (hAPP_real_real(times_times_real(one_one_real),Z_1)=Z_1).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1=Y_1).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))&X_1!=Y_1).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(X_1),Y_1)),zero_zero_real))).
% 11.39/11.36 all Aa Ba C_1 (C_1!=zero_zero_real-> (hAPP_real_real(times_times_real(C_1),Aa)=hAPP_real_real(times_times_real(C_1),Ba)<->Aa=Ba)).
% 11.39/11.36 all Aa Ba C_1 (C_1!=zero_zero_real-> (hAPP_real_real(times_times_real(Aa),C_1)=hAPP_real_real(times_times_real(Ba),C_1)<->Aa=Ba)).
% 11.39/11.36 all X_1 Y_1 (hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_1),X_1)),hAPP_real_real(times_times_real(Y_1),Y_1))=zero_zero_real<->X_1=zero_zero_real&Y_1=zero_zero_real).
% 11.39/11.36 zero_zero_real!=one_one_real.
% 11.39/11.36 all X_1 Y_1 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,hAPP_real_real(times_times_real(X_1),Z)),hAPP_real_real(times_times_real(Y_1),Z)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)))).
% 11.39/11.36 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),hAPP_real_real(times_times_real(X),Y))))).
% 11.39/11.36 all X Y 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,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Z_1),X)),hAPP_real_real(times_times_real(Z_1),Y))))).
% 11.39/11.36 all X_1 Y_1 Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Z),X_1)),hAPP_real_real(times_times_real(Z),Y_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)))).
% 11.39/11.36 all X_1 Y_1 Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(X_1),Z)),hAPP_real_real(times_times_real(Y_1),Z)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)))).
% 11.39/11.36 all M N_1 (abs_abs_int(hAPP_int_int(times_times_int(M),N_1))=one_one_int->abs_abs_int(M)=one_one_int).
% 11.39/11.36 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z)),one_one_int))<->Z=zero_zero_int).
% 11.39/11.36 all B (posDivAlg(zero_zero_int,B)=product_Pair_int_int(zero_zero_int,zero_zero_int)).
% 11.39/11.36 all K L_1 ((L_1=zero_zero_int->pdivmod(K,L_1)=product_Pair_int_int(zero_zero_int,abs_abs_int(K)))& (L_1!=zero_zero_int->pdivmod(K,L_1)=posDivAlg(abs_abs_int(K),abs_abs_int(L_1)))).
% 11.39/11.36 all K_1 F N_2 M_1 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),I_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat(I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),I_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N_2))&hAPP_nat_int(F,I_2)=K_1)))))).
% 11.39/11.36 all K_1 F N_2 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat(I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N_2))&hAPP_nat_int(F,I_2)=K_1))))).
% 11.39/11.36 all K_1 F N_2 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat(I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N_2))&hAPP_nat_int(F,I_2)=K_1))))).
% 11.39/11.36 all N_1 M ((M=zero_zero_nat->hAPP_nat_nat(times_times_nat(M),N_1)=zero_zero_nat)& (M!=zero_zero_nat->hAPP_nat_nat(times_times_nat(M),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1)))).
% 11.39/11.36 all X (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(abs_abs_real(X)),one_one_real)),X))).
% 11.39/11.36 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(one_one_real),abs_abs_real(X)))).
% 11.39/11.36 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 11.39/11.36 all U_1 V X Y (X=Y-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(U_1)),V))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(X),U_1)),Y))),V)))).
% 11.39/11.36 all U M_1 N_2 I_1 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))))).
% 11.39/11.36 all K M N_1 (hAPP_nat_nat(times_times_nat(K),hAPP_nat_nat(minus_minus_nat(M),N_1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(K),M)),hAPP_nat_nat(times_times_nat(K),N_1))).
% 11.39/11.36 all M N_1 K (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),K)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(M),K)),hAPP_nat_nat(times_times_nat(N_1),K))).
% 11.39/11.36 all I J K (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J)),K)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),K)),J)).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(times_times_nat(M),N_1)=hAPP_nat_nat(times_times_nat(N_1),M)).
% 11.39/11.36 all M N_1 K (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(M),N_1)),K)=hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(times_times_nat(N_1),K))).
% 11.39/11.36 all N_1 (hAPP_nat_nat(times_times_nat(zero_zero_nat),N_1)=zero_zero_nat).
% 11.39/11.36 all M (hAPP_nat_nat(times_times_nat(M),zero_zero_nat)=zero_zero_nat).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(times_times_nat(M_1),N_2)=zero_zero_nat<->M_1=zero_zero_nat|N_2=zero_zero_nat).
% 11.39/11.36 all K_1 M_1 N_2 (hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)<->K_1=zero_zero_nat|M_1=N_2).
% 11.39/11.36 all K_1 M_1 N_2 (hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)<->M_1=N_2|K_1=zero_zero_nat).
% 11.39/11.36 all M_1 K_1 N_2 (hAPP_nat_nat(times_times_nat(M_1),K_1)=hAPP_nat_nat(times_times_nat(N_2),K_1)<->M_1=N_2|K_1=zero_zero_nat).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(minus_minus_nat(M),N_1)=zero_zero_nat-> (hAPP_nat_nat(minus_minus_nat(N_1),M)=zero_zero_nat->M=N_1)).
% 11.39/11.36 all M (hAPP_nat_nat(minus_minus_nat(M),M)=zero_zero_nat).
% 11.39/11.36 all M (hAPP_nat_nat(minus_minus_nat(M),zero_zero_nat)=M).
% 11.39/11.36 all N_1 (hAPP_nat_nat(minus_minus_nat(zero_zero_nat),N_1)=zero_zero_nat).
% 11.39/11.36 all P_1 M_1 N_2 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),M_1)))-> ((M_1=N_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),M_1)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),M_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),M_1))))).
% 11.39/11.36 all S T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))->S!=T).
% 11.39/11.36 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M))->M!=N_1).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 11.39/11.36 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)))).
% 11.39/11.36 all M_1 N_2 (M_1!=N_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 11.39/11.36 all L_1 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(L_1),N_1)),hAPP_nat_nat(minus_minus_nat(L_1),M))))).
% 11.39/11.36 all N_1 J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(J),N_1)),K))).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),N_1)=M).
% 11.39/11.36 all N_1 M (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N_1),M)),N_1)=M).
% 11.39/11.36 all I J K (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J)),K)=hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(plus_plus_nat(J),K))).
% 11.39/11.36 all K M N_1 (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(K),M)),hAPP_nat_nat(plus_plus_nat(K),N_1))=hAPP_nat_nat(minus_minus_nat(M),N_1)).
% 11.39/11.36 all M K N_1 (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(plus_plus_nat(N_1),K))=hAPP_nat_nat(minus_minus_nat(M),N_1)).
% 11.39/11.36 all M_1 K_1 N_2 (hAPP_nat_nat(plus_plus_nat(M_1),K_1)=hAPP_nat_nat(plus_plus_nat(N_2),K_1)<->M_1=N_2).
% 11.39/11.36 all K_1 M_1 N_2 (hAPP_nat_nat(plus_plus_nat(K_1),M_1)=hAPP_nat_nat(plus_plus_nat(K_1),N_2)<->M_1=N_2).
% 11.39/11.36 all M N_1 K (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),K)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(plus_plus_nat(N_1),K))).
% 11.39/11.36 all X Y Z_1 (hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z_1))=hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z_1))).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(plus_plus_nat(M),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),M)).
% 11.39/11.36 all K M N_1 (hAPP_nat_nat(times_times_nat(K),hAPP_nat_nat(plus_plus_nat(M),N_1))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(K),M)),hAPP_nat_nat(times_times_nat(K),N_1))).
% 11.39/11.36 all M N_1 K (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),K)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(M),K)),hAPP_nat_nat(times_times_nat(N_1),K))).
% 11.39/11.36 all I U_1 J K (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I),U_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J),U_1)),K))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(I),J)),U_1)),K)).
% 11.39/11.36 all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),M)).
% 11.39/11.36 all L_1 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(L_1),N_1)),hAPP_nat_nat(minus_minus_nat(L_1),M)))).
% 11.39/11.36 all L_1 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),L_1)),hAPP_nat_nat(minus_minus_nat(N_1),L_1)))).
% 11.39/11.36 all I N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N_1))->hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(minus_minus_nat(N_1),I))=I).
% 11.39/11.36 all N_2 K_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))-> (hAPP_nat_nat(minus_minus_nat(M_1),K_1)=hAPP_nat_nat(minus_minus_nat(N_2),K_1)<->M_1=N_2))).
% 11.39/11.36 all N_1 K M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),K)),hAPP_nat_nat(minus_minus_nat(N_1),K))=hAPP_nat_nat(minus_minus_nat(M),N_1))).
% 11.39/11.36 all N_2 K_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_1)),hAPP_nat_nat(minus_minus_nat(N_2),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))))).
% 11.39/11.36 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))).
% 11.39/11.36 all M N_1 (M=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K)))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->M=N_1)).
% 11.39/11.36 all K L_1 I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(I),K)),hAPP_nat_nat(times_times_nat(J),L_1))))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K),I)),hAPP_nat_nat(times_times_nat(K),J)))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(I),K)),hAPP_nat_nat(times_times_nat(J),K)))).
% 11.39/11.36 all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(times_times_nat(M),M)))).
% 11.39/11.36 all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(times_times_nat(M),M))).
% 11.39/11.36 all N_1 (hAPP_nat_nat(times_times_nat(one_one_nat),N_1)=N_1).
% 11.39/11.36 all M_1 N_2 (one_one_nat=hAPP_nat_nat(times_times_nat(M_1),N_2)<->M_1=one_one_nat&N_2=one_one_nat).
% 11.39/11.36 all N_1 (hAPP_nat_nat(times_times_nat(N_1),one_one_nat)=N_1).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(times_times_nat(M_1),N_2)=one_one_nat<->M_1=one_one_nat&N_2=one_one_nat).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(N_2),M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),M)))).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 11.39/11.36 all N_2 (N_2!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->N_1!=zero_zero_nat).
% 11.39/11.36 all N_1 (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K),I)),hAPP_nat_nat(times_times_nat(K),J))))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(I),K)),hAPP_nat_nat(times_times_nat(J),K))))).
% 11.39/11.36 all M_1 N_2 K_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,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)))).
% 11.39/11.36 all M_1 N_2 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)<->M_1=N_2)).
% 11.39/11.36 all M_1 K_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_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,M_1),N_2))).
% 11.39/11.36 all K_1 M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))<->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,M_1),N_2))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(M_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))).
% 11.39/11.36 all N_1 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),N_1)=N_1).
% 11.39/11.36 all M (hAPP_nat_nat(plus_plus_nat(M),zero_zero_nat)=M).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(plus_plus_nat(M_1),N_2)=zero_zero_nat<->M_1=zero_zero_nat&N_2=zero_zero_nat).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(plus_plus_nat(M),N_1)=M->N_1=zero_zero_nat).
% 11.39/11.36 all N_1 M (hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(plus_plus_nat(N_1),M))=zero_zero_nat).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(minus_minus_nat(M_1),N_2)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hAPP_nat_nat(minus_minus_nat(M),N_1)=zero_zero_nat).
% 11.39/11.36 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 11.39/11.36 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),zero_zero_nat))<->N_2=zero_zero_nat).
% 11.39/11.36 all I J (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J)),I))).
% 11.39/11.36 all J I (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J),I)),I))).
% 11.39/11.36 all K_1 M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_1),M_1)),hAPP_nat_nat(plus_plus_nat(K_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))).
% 11.39/11.36 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(J),M)))).
% 11.39/11.36 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(M),J)))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),K)))).
% 11.39/11.36 all K L_1 I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),L_1))))).
% 11.39/11.36 all M N_1 K L_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L_1))-> (hAPP_nat_nat(plus_plus_nat(M),L_1)=hAPP_nat_nat(plus_plus_nat(K),N_1)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)))).
% 11.39/11.36 all I J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J)),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))).
% 11.39/11.36 all M N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(minus_minus_nat(M),N_1))=M).
% 11.39/11.36 all I_1 J_2 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_2),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_2))).
% 11.39/11.36 all M N_1 (M=hAPP_nat_nat(times_times_nat(M),N_1)->N_1=one_one_nat|M=zero_zero_nat).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|M=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))-> (M!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|M_1=N_2).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))&M_1!=N_2).
% 11.39/11.36 all N_2 K_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_1)),hAPP_nat_nat(minus_minus_nat(N_2),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))))).
% 11.39/11.36 all C A B (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,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))))).
% 11.39/11.36 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(minus_minus_nat(J),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),K)),J)).
% 11.39/11.36 all J_2 K_1 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(J_2),K_1)),I_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),hAPP_nat_nat(plus_plus_nat(I_1),K_1)))).
% 11.39/11.36 all M K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N_1),M)),K)))).
% 11.39/11.36 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(minus_minus_nat(M),N_1))=M).
% 11.39/11.36 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J)),K)).
% 11.39/11.36 all I_1 K_1 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_2),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_2)))).
% 11.39/11.36 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),N_1)=M).
% 11.39/11.36 all K_1 I_1 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))-> (hAPP_nat_nat(minus_minus_nat(J_2),I_1)=K_1<->J_2=hAPP_nat_nat(plus_plus_nat(K_1),I_1))).
% 11.39/11.36 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J)),K)=hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J),K))).
% 11.39/11.36 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J),K)),I)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J),I)),K)).
% 11.39/11.36 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J),I)),K)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J),K)),I)).
% 11.39/11.36 all U M_1 N_2 I_1 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))-> (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)<->M_1=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))).
% 11.39/11.36 all U_1 M N_1 I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I),U_1)),M)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J),U_1)),N_1))=hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J),I)),U_1)),N_1))).
% 11.39/11.36 all U M_1 N_2 I_1 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))))).
% 11.39/11.36 all U M_1 N_2 J_2 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))-> (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)<->hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)=N_2)).
% 11.39/11.36 all U_1 M N_1 J I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I),U_1)),M)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J),U_1)),N_1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I),J)),U_1)),M)),N_1)).
% 11.39/11.36 all U M_1 N_2 J_2 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)),N_2)))).
% 11.39/11.36 all M K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1)))).
% 11.39/11.36 all M K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 11.39/11.36 all M K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1))).
% 11.39/11.36 all K L_1 I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),L_1))))).
% 11.39/11.36 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),K)))).
% 11.39/11.36 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(M),J)))).
% 11.39/11.36 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(J),M)))).
% 11.39/11.36 all K_1 M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_1),M_1)),hAPP_nat_nat(plus_plus_nat(K_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))<-> (exists K_2 (N_2=hAPP_nat_nat(plus_plus_nat(M_1),K_2)))).
% 11.39/11.36 all N_1 M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(N_1),M))).
% 11.39/11.36 all N_1 M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(M),N_1))).
% 11.39/11.36 all X_1 Y_1 Z (X_1=hAPP_real_real(minus_minus_real(Y_1),Z)<->Y_1=hAPP_real_real(plus_plus_real(X_1),Z)).
% 11.39/11.36 all P_1 Aa Ba (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))& -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists D (Aa=hAPP_nat_nat(plus_plus_nat(Ba),D)& -hBOOL(hAPP_nat_bool(P_1,D)))))).
% 11.39/11.36 all P_1 Aa Ba (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (all D (Aa=hAPP_nat_nat(plus_plus_nat(Ba),D)->hBOOL(hAPP_nat_bool(P_1,D))))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(M_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))).
% 11.39/11.36 all K_1 M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)))).
% 11.39/11.36 all M_1 K_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_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_e_q_nat,M_1),N_2)))).
% 11.39/11.36 all M_1 N_2 K_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_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)))).
% 11.39/11.36 all U M_1 N_2 J_2 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)),N_2)))).
% 11.39/11.36 all N_2 P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N_2))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),N_2))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_2))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(plus_plus_nat(K_2),one_one_nat))))))).
% 11.39/11.36 all X Y C (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,abs_abs_real(X)),hAPP_real_real(times_times_real(C),abs_abs_real(Y))))->X=zero_zero_real)).
% 11.39/11.36 all M_1 K_1 F ((all M_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_1))))).
% 11.39/11.36 all N_2 P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N_2))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_2))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K_2))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,K_2)))))).
% 11.39/11.36 all K_1 L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))<-> (exists N (L=hAPP_nat_nat(plus_plus_nat(K_1),N)))).
% 11.39/11.36 all I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))&hAPP_nat_nat(plus_plus_nat(I),K_2)=J))).
% 11.39/11.36 all X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X_1),X_1)))<->X_1=zero_zero_real).
% 11.39/11.36 all N_1 M K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hAPP_nat_nat(times_times_nat(K),N_1)=hAPP_nat_nat(times_times_nat(K),M)->N_1=M)).
% 11.39/11.36 all B A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))-> (exists D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))& (all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(X),Y_2))),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),Y_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),B)))))))).
% 11.39/11.36 all K L_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L_1))-> (exists N (L_1=hAPP_nat_nat(plus_plus_nat(K),N)))).
% 11.39/11.36 all I_1 J_2 F ((all 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,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_2))))).
% 11.39/11.36 all B A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))-> (exists D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))& (all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(X),Y_2))),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),Y_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),B)))))))).
% 11.39/11.36 all D2 D1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))-> (exists E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,E),D1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,E),D2)))))).
% 11.39/11.36 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natceiling(hAPP_real_real(plus_plus_real(X),one_one_real))=hAPP_nat_nat(plus_plus_nat(natceiling(X)),one_one_nat)).
% 11.39/11.36 all N_1 (natceiling(number267125858f_real(N_1))=number_number_of_nat(N_1)).
% 11.39/11.36 natceiling(zero_zero_real)=zero_zero_nat.
% 11.39/11.36 all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natceiling(X))).
% 11.39/11.36 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),natceiling(Y)))).
% 11.39/11.36 natceiling(one_one_real)=one_one_nat.
% 11.39/11.36 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->natceiling(X)=zero_zero_nat).
% 11.39/11.36 all X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),one_one_nat))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))).
% 11.39/11.36 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natfloor(hAPP_real_real(plus_plus_real(X),one_one_real))=hAPP_nat_nat(plus_plus_nat(natfloor(X)),one_one_nat)).
% 11.39/11.36 all N_2 M_1 (hAPP_nat_nat(times_times_nat(N_2),M_1)=one_one_nat<->N_2=one_one_nat&M_1=one_one_nat).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_1)),one_one_real)))->natceiling(X)=hAPP_nat_nat(plus_plus_nat(N_1),one_one_nat))).
% 11.39/11.36 all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,N_1))).
% 11.39/11.36 all N_1 (natceiling(hAPP_nat_real(real_nat,N_1))=N_1).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_2)),hAPP_nat_real(real_nat,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))).
% 11.39/11.36 hAPP_nat_real(real_nat,zero_zero_nat)=zero_zero_real.
% 11.39/11.36 all N_2 (hAPP_nat_real(real_nat,N_2)=zero_zero_real<->N_2=zero_zero_nat).
% 11.39/11.36 all X (abs_abs_real(hAPP_nat_real(real_nat,X))=hAPP_nat_real(real_nat,X)).
% 11.39/11.36 all N_1 (natfloor(hAPP_nat_real(real_nat,N_1))=N_1).
% 11.39/11.36 all N_2 hBOOL(member_real(hAPP_nat_real(real_nat,N_2),ring_1_Ints_real)).
% 11.39/11.36 all N_1 (natfloor(number267125858f_real(N_1))=number_number_of_nat(N_1)).
% 11.39/11.36 all N_2 M_1 (hAPP_nat_real(real_nat,N_2)=hAPP_nat_real(real_nat,M_1)<->N_2=M_1).
% 11.39/11.36 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,natfloor(X))),X))).
% 11.39/11.36 all X A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,X)),A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),natfloor(A)))).
% 11.39/11.36 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(X),one_one_real)),hAPP_nat_real(real_nat,natfloor(X)))).
% 11.39/11.36 all A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),X))->natfloor(hAPP_real_real(minus_minus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(minus_minus_nat(natfloor(X)),A)).
% 11.39/11.36 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,natfloor(X))),one_one_real))).
% 11.39/11.36 all Aa X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),natfloor(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Aa)),X_1)))).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),zero_zero_real))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),hAPP_nat_real(real_nat,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(X)),N_1)))).
% 11.39/11.36 all M N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(times_times_nat(M),N_1))=hAPP_real_real(times_times_real(hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1))).
% 11.39/11.36 all A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natfloor(hAPP_real_real(plus_plus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(plus_plus_nat(natfloor(X)),A)).
% 11.39/11.36 all M N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(plus_plus_nat(M),N_1))=hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1))).
% 11.39/11.36 all Z_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(natfloor(Z_1)),one_one_nat)),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_1),hAPP_nat_real(real_nat,N_1)))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_1)),one_one_real)))->natfloor(X)=N_1)).
% 11.39/11.36 hAPP_nat_real(real_nat,one_one_nat)=one_one_real.
% 11.39/11.36 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,natceiling(X)))).
% 11.39/11.36 natfloor(zero_zero_real)=zero_zero_nat.
% 11.39/11.36 all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natfloor(X))).
% 11.39/11.36 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natfloor(X)),natfloor(Y)))).
% 11.39/11.36 natfloor(one_one_real)=one_one_nat.
% 11.39/11.36 all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),zero_zero_real))<->N_2=zero_zero_nat).
% 11.39/11.36 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_real(real_nat,hAPP_nat_nat(minus_minus_nat(M),N_1))=hAPP_real_real(minus_minus_real(hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1))).
% 11.39/11.36 all X A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,A)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),A))).
% 11.39/11.36 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->natfloor(X)=zero_zero_nat).
% 11.39/11.36 all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_2)),one_one_real)),hAPP_nat_real(real_nat,M_1)))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,M_1)),one_one_real)))).
% 11.39/11.36 all Aa X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,Aa))))).
% 11.39/11.36 all A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),X))->natceiling(hAPP_real_real(minus_minus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(minus_minus_nat(natceiling(X)),A)).
% 11.39/11.36 all X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))).
% 11.39/11.36 all A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natceiling(hAPP_real_real(plus_plus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(plus_plus_nat(natceiling(X)),A)).
% 11.39/11.36 all B A (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_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(natfloor(A)),natfloor(B))),natfloor(hAPP_real_real(times_times_real(A),B)))))).
% 11.39/11.36 all R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))-> (exists N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,hAPP_nat_nat(minus_minus_nat(N),one_one_nat))),R))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_nat_real(real_nat,N)))))).
% 11.39/11.36 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (all Y_2 exists N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(times_times_real(hAPP_nat_real(real_nat,N)),X))))).
% 11.39/11.36 all X N_1 (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natceiling(hAPP_real_real(plus_plus_real(X),number267125858f_real(N_1)))=hAPP_nat_nat(plus_plus_nat(natceiling(X)),number_number_of_nat(N_1)))).
% 11.39/11.36 -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 11.39/11.36 -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 11.39/11.36 all Z_2 (hBOOL(hAPP_int_bool(nat_neg,Z_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),zero_zero_int))).
% 11.39/11.36 all X_1 (-hBOOL(hAPP_int_bool(nat_neg,X_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))).
% 11.39/11.36 all V (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->number_number_of_nat(V)=zero_zero_nat).
% 11.39/11.36 all V_1 V_3 (number_number_of_nat(V_1)=number_number_of_nat(V_3)<-> (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_3)),zero_zero_int)))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))-> (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))->number_number_of_int(V_1)=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))->V_1=V_3))).
% 11.39/11.36 all V_2 K V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))-> (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),K))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(V),V_2))),K)))).
% 11.39/11.36 all V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_real(real_nat,number_number_of_nat(V))=zero_zero_real)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_real(real_nat,number_number_of_nat(V))=number267125858f_real(V))).
% 11.39/11.36 all X_1 N_2 (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_2)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(N_2)),natfloor(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(N_2)),X_1))))).
% 11.39/11.36 all X_1 N_2 (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_2)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),number_number_of_nat(N_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),number267125858f_real(N_2)))))).
% 11.39/11.36 all X N_1 (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natfloor(hAPP_real_real(plus_plus_real(X),number267125858f_real(N_1)))=hAPP_nat_nat(plus_plus_nat(natfloor(X)),number_number_of_nat(N_1)))).
% 11.39/11.36 all X exists N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,N))).
% 11.39/11.36 all Y X Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1)))).
% 11.39/11.36 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1)))).
% 11.39/11.36 all Y X Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1)))).
% 11.39/11.36 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1)))).
% 11.39/11.36 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))->archim856651990g_real(X)=hAPP_int_int(plus_plus_int(N_1),one_one_int))).
% 11.39/11.36 all X Y (hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(X),Y))=hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y))).
% 11.39/11.36 all X A (archim856651990g_real(hAPP_real_real(plus_plus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(plus_plus_int(archim856651990g_real(X)),A)).
% 11.39/11.36 all X_1 (hAPP_int_real(real_int,archim1246769320r_real(X_1))=X_1<-> (exists N (X_1=hAPP_int_real(real_int,N)))).
% 11.39/11.36 all N_1 (archim1246769320r_real(hAPP_int_real(real_int,N_1))=N_1).
% 11.39/11.36 all X_1 (hAPP_int_real(real_int,archim856651990g_real(X_1))=X_1<-> (exists N (X_1=hAPP_int_real(real_int,N)))).
% 11.39/11.36 all N_1 (archim856651990g_real(hAPP_int_real(real_int,N_1))=N_1).
% 11.39/11.36 all V (hAPP_int_real(real_int,number_number_of_int(V))=number267125858f_real(V)).
% 11.39/11.36 all X_1 Y_1 (hAPP_int_real(real_int,X_1)=hAPP_int_real(real_int,Y_1)<->X_1=Y_1).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R),hAPP_int_real(real_int,archim856651990g_real(R)))).
% 11.39/11.36 hAPP_int_real(real_int,one_one_int)=one_one_real.
% 11.39/11.36 all X Y (hAPP_int_real(real_int,hAPP_int_int(times_times_int(X),Y))=hAPP_real_real(times_times_real(hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y))).
% 11.39/11.36 all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,Aa)))).
% 11.39/11.36 all X A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A))).
% 11.39/11.36 all X A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A)))).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))).
% 11.39/11.36 all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Aa)),X_1))).
% 11.39/11.36 all X_1 (hAPP_int_real(real_int,X_1)=zero_zero_real<->X_1=zero_zero_int).
% 11.39/11.36 hAPP_int_real(real_int,zero_zero_int)=zero_zero_real.
% 11.39/11.36 all X A (archim856651990g_real(hAPP_real_real(minus_minus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(minus_minus_int(archim856651990g_real(X)),A)).
% 11.39/11.36 all X Y (hAPP_int_real(real_int,hAPP_int_int(minus_minus_int(X),Y))=hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y))).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim1246769320r_real(R))),R)).
% 11.39/11.36 all X (hAPP_int_real(real_int,abs_abs_int(X))=abs_abs_real(hAPP_int_real(real_int,X))).
% 11.39/11.36 all X_1 hBOOL(member_real(hAPP_int_real(real_int,X_1),ring_1_Ints_real)).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim856651990g_real(R))),hAPP_real_real(plus_plus_real(R),one_one_real))).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,archim856651990g_real(R))),one_one_real)),R)).
% 11.39/11.36 all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(real_int,Aa)))).
% 11.39/11.36 all A X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A)),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),archim1246769320r_real(X)))).
% 11.39/11.36 all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Aa)),X_1))).
% 11.39/11.36 all A X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),archim1246769320r_real(X)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A)),X))).
% 11.39/11.36 all X A (archim1246769320r_real(hAPP_real_real(plus_plus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(plus_plus_int(archim1246769320r_real(X)),A)).
% 11.39/11.36 all X A (archim1246769320r_real(hAPP_real_real(minus_minus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(minus_minus_int(archim1246769320r_real(X)),A)).
% 11.39/11.36 all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_2))).
% 11.39/11.36 all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_2)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_2),zero_zero_int))).
% 11.39/11.36 all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_2))).
% 11.39/11.36 all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_2),zero_zero_int))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(N_2)),hAPP_int_real(real_int,M_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(N_2)),M_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,M_1)),number267125858f_real(N_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),number_number_of_int(N_2)))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(N_2)),hAPP_int_real(real_int,M_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(N_2)),M_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M_1)),number267125858f_real(N_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),number_number_of_int(N_2)))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_2),M_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_2)),one_one_real)),hAPP_int_real(real_int,M_1)))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_2),M_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_2)),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,M_1)),one_one_real)))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,X)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),X))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,N_1)),one_one_real)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,N_1)))->archim856651990g_real(X)=N_1)).
% 11.39/11.36 all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,Aa)),one_one_real)))).
% 11.39/11.36 all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,Aa)),one_one_real)),X_1))).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,archim1246769320r_real(R))),one_one_real))).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,archim1246769320r_real(R))),one_one_real))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))->archim1246769320r_real(X)=N_1)).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(R),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R)))).
% 11.39/11.36 all R hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(R),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R)))).
% 11.39/11.36 all N_1 M R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),R))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N_1)))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))->archim856651990g_real(X)=hAPP_int_int(plus_plus_int(N_1),one_one_int))).
% 11.39/11.36 all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))->archim1246769320r_real(X)=N_1)).
% 11.39/11.36 all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,Aa)),one_one_real)),X_1))).
% 11.39/11.36 all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,Aa)),one_one_real)))).
% 11.39/11.36 all R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))-> (exists N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),R))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(N),one_one_int))))))).
% 11.39/11.36 all R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),zero_zero_real))-> (exists N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),R))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(N),one_one_int))))))).
% 11.39/11.36 all R exists N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),R))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(N),one_one_int))))).
% 11.39/11.36 all N_1 (archim856651990g_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 11.39/11.36 all K (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K)),zero_zero_int))).
% 11.39/11.36 all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 11.39/11.36 all P_1 ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_int_bool(P_1,X_2))))<-> (all X_2 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))))).
% 11.39/11.36 all P_1 ((exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(hAPP_int_bool(P_1,X_2))))<-> (exists X_2 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))))).
% 11.39/11.36 all Z_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))).
% 11.39/11.36 all M (abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M))=hAPP_nat_int(semiri1621563631at_int,M)).
% 11.39/11.36 all N_2 (hAPP_nat_int(semiri1621563631at_int,N_2)=zero_zero_int<->N_2=zero_zero_nat).
% 11.39/11.36 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 11.39/11.36 zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 11.39/11.36 one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 11.39/11.36 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 11.39/11.36 all X Y (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X),Y))).
% 11.39/11.36 all M N_1 (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M),N_1))).
% 11.39/11.36 all M N_1 Z_1 (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N_1)),Z_1))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M),N_1))),Z_1)).
% 11.39/11.36 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))<-> (exists N (Z=hAPP_int_int(plus_plus_int(W),hAPP_nat_int(semiri1621563631at_int,N))))).
% 11.39/11.36 all M N_1 (hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(times_times_nat(M),N_1))).
% 11.39/11.36 all M N_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(times_times_nat(M),N_1))=hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 11.39/11.36 all X Y (hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(times_times_nat(X),Y))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))).
% 11.39/11.36 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N_1)))).
% 11.39/11.36 real_nat=semiri132038758t_real.
% 11.39/11.36 all N_1 (hAPP_int_real(real_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_real(real_nat,N_1)).
% 11.39/11.36 real_nat=semiri132038758t_real.
% 11.39/11.36 all N_1 (archim1246769320r_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 11.39/11.36 all X Y (nat_tsub(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X),Y))).
% 11.39/11.36 all N_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N_2)),zero_zero_int))<->N_2=zero_zero_nat).
% 11.39/11.36 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(M),N_1))).
% 11.39/11.36 all N_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))).
% 11.39/11.36 all K I J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,K)),I)),hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,K)),J))))).
% 11.39/11.36 all V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=number_number_of_int(V))).
% 11.39/11.36 all P_1 X_1 Y_1 (hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))))& (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))).
% 11.39/11.36 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))-> (exists N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))&K=hAPP_nat_int(semiri1621563631at_int,N)))).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_int(semiri1621563631at_int,M_1)=hAPP_nat_int(semiri1621563631at_int,N_2)<->M_1=N_2).
% 11.39/11.36 all X_1 Y_1 P_1 ((hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,X_1),Y_1)))& (-hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,X_1),Y_1)))).
% 11.39/11.36 all X_1 Y_1 (hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,Y_1)<->X_1=Y_1).
% 11.39/11.36 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (exists N (K=hAPP_nat_int(semiri1621563631at_int,N)))).
% 11.39/11.36 all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))-> -(all M_2 (Z_1!=hAPP_nat_int(semiri1621563631at_int,M_2)))).
% 11.39/11.36 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> -(all N (K!=hAPP_nat_int(semiri1621563631at_int,N)))).
% 11.39/11.36 all Z_1 (-(all M_2 N (Z_1!=hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,M_2)),hAPP_nat_int(semiri1621563631at_int,N))))).
% 11.39/11.36 all V_2 V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(hAPP_int_int(times_times_int(V),V_2)))).
% 11.39/11.36 all V_2 K V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_2)),K))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(V),V_2))),K))).
% 11.39/11.36 all K (hAPP_int_int(minus_minus_int(K),pls)=K).
% 11.39/11.36 all W_1 (hAPP_int_int(times_times_int(pls),W_1)=pls).
% 11.39/11.36 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 11.39/11.36 all K (hAPP_int_int(plus_plus_int(pls),K)=K).
% 11.39/11.36 all K (hAPP_int_int(plus_plus_int(K),pls)=K).
% 11.39/11.36 pls=zero_zero_int.
% 11.39/11.36 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 11.39/11.36 zero_zero_int=number_number_of_int(pls).
% 11.39/11.36 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 11.39/11.36 number_number_of_nat(pls)=zero_zero_nat.
% 11.39/11.36 zero_zero_nat=number_number_of_nat(pls).
% 11.39/11.36 -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pls))).
% 11.39/11.36 all V_1 (zero_zero_nat=number_number_of_nat(V_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls))).
% 11.39/11.36 all V_1 (number_number_of_nat(V_1)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls))).
% 11.39/11.36 all V_1 V_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),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,V_1),V_3))).
% 11.39/11.36 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(pls))).
% 11.39/11.36 all V_1 V_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))<-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),V_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)))).
% 11.39/11.36 all V_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1))).
% 11.39/11.36 all V_2 V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(V_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(V))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(hAPP_int_int(plus_plus_int(V),V_2))))).
% 11.39/11.36 all V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V))=number_number_of_nat(succ(V)))).
% 11.39/11.36 all V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),one_one_nat)=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),one_one_nat)=number_number_of_nat(succ(V)))).
% 11.39/11.36 all K (succ(K)=hAPP_int_int(plus_plus_int(K),one_one_int)).
% 11.39/11.36 all V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))->hAPP_nat_nat(minus_minus_nat(number_number_of_nat(V)),one_one_nat)=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))->hAPP_nat_nat(minus_minus_nat(number_number_of_nat(V)),one_one_nat)=number_number_of_nat(pred(V)))).
% 11.39/11.36 all N_1 V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),N_1))=hAPP_nat_nat(plus_plus_nat(one_one_nat),N_1))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),N_1))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(succ(V))),N_1))).
% 11.39/11.36 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,N_1))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1)))).
% 11.39/11.36 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N_1))).
% 11.39/11.36 all X (succ(pred(X))=X).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))<->M_1=zero_zero_nat| (exists J_1 (M_1=hAPP_nat_nat(suc,J_1)&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),N_2))))).
% 11.39/11.36 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,zero_zero_nat)))<->N_2=zero_zero_nat).
% 11.39/11.36 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))<-> (exists M_2 (N_2=hAPP_nat_nat(suc,M_2)))).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(plus_plus_nat(M_1),N_2)=hAPP_nat_nat(suc,zero_zero_nat)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&N_2=zero_zero_nat|M_1=zero_zero_nat&N_2=hAPP_nat_nat(suc,zero_zero_nat)).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(M_1),N_2)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&N_2=zero_zero_nat|M_1=zero_zero_nat&N_2=hAPP_nat_nat(suc,zero_zero_nat)).
% 11.39/11.36 all M_1 N_2 (hAPP_nat_nat(times_times_nat(M_1),N_2)=hAPP_nat_nat(suc,zero_zero_nat)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&N_2=hAPP_nat_nat(suc,zero_zero_nat)).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))<-> (exists K_2 (N_2=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),K_2))))).
% 11.39/11.36 all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),I)))).
% 11.39/11.36 all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(I),M)))).
% 11.39/11.36 one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),M_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))<->N_2=M_1)).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))).
% 11.39/11.36 all K_1 M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))).
% 11.39/11.36 all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),hAPP_nat_nat(suc,M))).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(times_times_nat(M),N_1))).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(times_times_nat(M),N_1))).
% 11.39/11.36 all K_1 M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))).
% 11.39/11.36 all N_1 (hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(plus_plus_nat(one_one_nat),N_1)).
% 11.39/11.36 all N_1 (hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(plus_plus_nat(N_1),one_one_nat)).
% 11.39/11.36 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(M),N_1))).
% 11.39/11.36 all N_1 (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,N_1)),one_one_nat)=N_1).
% 11.39/11.36 all M N_1 (hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1)).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N_1)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->M=hAPP_nat_nat(suc,N_1))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N_1)))).
% 11.39/11.36 all N_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),hAPP_nat_nat(suc,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|M_1=hAPP_nat_nat(suc,N_2)).
% 11.39/11.36 all M_1 N_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),M_1))).
% 11.39/11.36 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),N_1))).
% 11.39/11.36 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 11.39/11.36 all Nat_3 (zero_zero_nat!=hAPP_nat_nat(suc,Nat_3)).
% 11.39/11.36 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 11.39/11.36 all Nat_2 (hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat).
% 11.39/11.36 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 11.39/11.36 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 11.39/11.36 all M_1 N_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|M_1=N_2).
% 11.39/11.36 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))).
% 11.39/11.36 all N_2 M_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))<->N_2=M_1)).
% 11.39/11.36 all N_1 M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M)))->M=N_1)).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))).
% 11.39/11.36 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))-> (hAPP_nat_nat(suc,M)!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N_1)))).
% 11.39/11.37 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)))).
% 11.39/11.37 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->M=N_1)).
% 11.39/11.37 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))).
% 11.39/11.37 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))).
% 11.39/11.37 all M N_1 (hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N_1))).
% 11.39/11.37 all M N_1 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N_1))).
% 11.39/11.37 all M N_1 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N_1))).
% 11.39/11.37 all M N_1 K (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N_1)),hAPP_nat_nat(suc,K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),K)).
% 11.39/11.37 all M N_1 (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(minus_minus_nat(M),N_1)).
% 11.39/11.37 all N_1 (N_1!=hAPP_nat_nat(suc,N_1)).
% 11.39/11.37 all N_1 (hAPP_nat_nat(suc,N_1)!=N_1).
% 11.39/11.37 all Nat_1 Nat (hAPP_nat_nat(suc,Nat_1)=hAPP_nat_nat(suc,Nat)<->Nat_1=Nat).
% 11.39/11.37 all X Y (hAPP_nat_nat(suc,X)=hAPP_nat_nat(suc,Y)->X=Y).
% 11.39/11.37 all K_1 M_1 N_2 (hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)<->M_1=N_2).
% 11.39/11.37 all K (pred(K)=hAPP_int_int(minus_minus_int(K),one_one_int)).
% 11.39/11.37 all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pred(K_1)),L))).
% 11.39/11.37 all M V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),number_number_of_nat(V))=hAPP_nat_nat(minus_minus_nat(M),number_number_of_nat(pred(V)))).
% 11.39/11.37 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M),N_1))))).
% 11.39/11.37 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(times_times_nat(N_1),M))))).
% 11.39/11.37 all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(times_times_nat(M),N_1))))).
% 11.39/11.37 all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hAPP_nat_nat(times_times_nat(M),N_1)=M->N_1=hAPP_nat_nat(suc,zero_zero_nat))).
% 11.39/11.37 all M K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))-> (hAPP_nat_nat(times_times_nat(M),N_1)=K->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),K)))))).
% 11.39/11.37 all M K (M!=hAPP_nat_nat(times_times_nat(M),K)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M),K)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K)))).
% 11.39/11.37 all M K (M!=hAPP_nat_nat(times_times_nat(M),K)-> (M!=hAPP_nat_nat(suc,zero_zero_nat)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M)))).
% 11.39/11.37 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(suc,zero_zero_nat)))=N_1).
% 11.39/11.37 all I N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(suc,I))),N_1))).
% 11.39/11.37 all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M_1),N_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_2))).
% 11.39/11.37 all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1)))).
% 11.39/11.37 hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 11.39/11.37 hAPP_nat_real(real_nat,hAPP_nat_nat(suc,zero_zero_nat))=one_one_real.
% 11.39/11.37 all M K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J),K)))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(suc,J))).
% 11.39/11.37 all M K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J),K))),M)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,J)),hAPP_nat_nat(plus_plus_nat(K),M))).
% 11.39/11.37 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))<-> (exists N (Z=hAPP_int_int(plus_plus_int(W),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N)))))).
% 11.39/11.37 all M (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M))=hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,M))).
% 11.39/11.37 all N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))=hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_1)),one_one_real)).
% 11.39/11.37 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->N_1=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(N_1),one_one_nat))).
% 11.39/11.37 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(N_1),one_one_nat))=N_1).
% 11.39/11.37 all N_1 M ((M=zero_zero_nat->hAPP_nat_nat(plus_plus_nat(M),N_1)=N_1)& (M!=zero_zero_nat->hAPP_nat_nat(plus_plus_nat(M),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1)))).
% 11.39/11.37 all V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V)))->number_number_of_nat(V)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(number_number_of_nat(V)),one_one_nat))).
% 11.39/11.37 all V_1 (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pred(V_1))))<->number_number_of_nat(V_1)=zero_zero_nat).
% 11.39/11.37 all V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,number_number_of_nat(V))=one_one_nat)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,number_number_of_nat(V))=number_number_of_nat(succ(V)))).
% 11.39/11.37 all R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))-> (exists N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),R))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N))))))).
% 11.39/11.37 all X Y (hAPP_nat_nat(if_nat(fTrue,X),Y)=X).
% 11.39/11.37 all X Y (hAPP_nat_nat(if_nat(fFalse,X),Y)=Y).
% 11.39/11.37 all P (is_bool(P)->P=fTrue|P=fFalse).
% 11.39/11.37 hAPP_int_int(times_times_int(twoSqu1241645765sum2sq(product_Pair_int_int(a,b))),twoSqu1241645765sum2sq(product_Pair_int_int(p,q)))!=twoSqu1241645765sum2sq(product_Pair_int_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(a),p)),hAPP_int_int(times_times_int(b),q)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(a),q)),hAPP_int_int(times_times_int(b),p)))).
% 11.39/11.37 end_of_list.
% 11.39/11.37
% 11.39/11.37 -------> usable clausifies to:
% 11.39/11.37
% 11.39/11.37 list(usable).
% 11.39/11.37 0 [] A=A.
% 11.39/11.37 0 [] is_bool(fFalse).
% 11.39/11.37 0 [] is_bool(fTrue).
% 11.39/11.37 0 [] is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 11.39/11.37 0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 11.39/11.37 0 [] is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 11.39/11.37 0 [] is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 11.39/11.37 0 [] is_bool(hAPP_P178748804t_bool(B_1_1,B_2_1)).
% 11.39/11.37 0 [] is_bool(member_real(B_1_1,B_2_1)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),hAPP_int_int(times_times_int(R),B))),M)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(C),hAPP_int_int(times_times_int(R),D_1))),N_1))=hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),M)),hAPP_int_int(times_times_int(C),N_1))),hAPP_int_int(times_times_int(R),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),M)),hAPP_int_int(times_times_int(D_1),N_1)))).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X_46),Y_46)),hAPP_int_int(times_times_int(A_117),B_92))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_46),hAPP_int_int(minus_minus_int(Y_46),B_92))),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(X_46),A_117)),B_92)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_46),Y_46)),hAPP_real_real(times_times_real(A_117),B_92))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_46),hAPP_real_real(minus_minus_real(Y_46),B_92))),hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_46),A_117)),B_92)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_1),Y_1)),hAPP_real_real(times_times_real(A_116),B_91))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_1),A_116)),hAPP_real_real(minus_minus_real(Y_1),B_91))),hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_1),A_116)),B_91))),hAPP_real_real(times_times_real(A_116),hAPP_real_real(minus_minus_real(Y_1),B_91))).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)|C_1=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)|C_1!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)|C_1=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)|C_1!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)=D_2.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)!=D_2.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)=D_2.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)!=D_2.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X_1))|twoSqu1241645765sum2sq(product_Pair_int_int($f2(X_1),$f1(X_1)))=X_1.
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X_1))|twoSqu1241645765sum2sq(product_Pair_int_int(A_49,B_65))!=X_1.
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(A),B)!=C|A=hAPP_int_int(plus_plus_int(C),B).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(W_1),hAPP_int_int(minus_minus_int(Z1),Z2))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(W_1),Z1)),hAPP_int_int(times_times_int(W_1),Z2)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Z1),Z2)),W_1)=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(Z1),W_1)),hAPP_int_int(times_times_int(Z2),W_1)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(W_1),hAPP_int_int(plus_plus_int(Z1),Z2))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W_1),Z1)),hAPP_int_int(times_times_int(W_1),Z2)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(Z1),Z2)),W_1)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Z1),W_1)),hAPP_int_int(times_times_int(Z2),W_1)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A_115),B_90)),B_90)=A_115.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(A_115),B_90)),B_90)=A_115.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(A_114),B_89)),C_54)=hAPP_int_int(times_times_int(A_114),hAPP_int_int(times_times_int(B_89),C_54)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(A_114),B_89)),C_54)=hAPP_real_real(times_times_real(A_114),hAPP_real_real(times_times_real(B_89),C_54)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(A_114),B_89)),C_54)=hAPP_nat_nat(times_times_nat(A_114),hAPP_nat_nat(times_times_nat(B_89),C_54)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(B_88),A_113)!=hAPP_int_int(plus_plus_int(C_53),A_113)|B_88=C_53.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(B_88),A_113)!=hAPP_real_real(plus_plus_real(C_53),A_113)|B_88=C_53.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(B_88),A_113)!=hAPP_nat_nat(plus_plus_nat(C_53),A_113)|B_88=C_53.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(A_112),B_87)!=hAPP_int_int(plus_plus_int(A_112),C_52)|B_87=C_52.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(A_112),B_87)!=hAPP_real_real(plus_plus_real(A_112),C_52)|B_87=C_52.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(A_112),B_87)!=hAPP_nat_nat(plus_plus_nat(A_112),C_52)|B_87=C_52.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(A_111),B_86)!=hAPP_int_int(plus_plus_int(A_111),C_51)|B_86=C_51.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(A_111),B_86)!=hAPP_real_real(plus_plus_real(A_111),C_51)|B_86=C_51.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(A_111),B_86)!=hAPP_nat_nat(plus_plus_nat(A_111),C_51)|B_86=C_51.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(Ba),Aa)!=hAPP_int_int(plus_plus_int(C_1),Aa)|Ba=C_1.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(Ba),Aa)=hAPP_int_int(plus_plus_int(C_1),Aa)|Ba!=C_1.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(Ba),Aa)!=hAPP_real_real(plus_plus_real(C_1),Aa)|Ba=C_1.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(Ba),Aa)=hAPP_real_real(plus_plus_real(C_1),Aa)|Ba!=C_1.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(Ba),Aa)!=hAPP_nat_nat(plus_plus_nat(C_1),Aa)|Ba=C_1.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(Ba),Aa)=hAPP_nat_nat(plus_plus_nat(C_1),Aa)|Ba!=C_1.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(Aa),Ba)!=hAPP_int_int(plus_plus_int(Aa),C_1)|Ba=C_1.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(Aa),Ba)=hAPP_int_int(plus_plus_int(Aa),C_1)|Ba!=C_1.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(Aa),Ba)!=hAPP_real_real(plus_plus_real(Aa),C_1)|Ba=C_1.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(Aa),Ba)=hAPP_real_real(plus_plus_real(Aa),C_1)|Ba!=C_1.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(Aa),Ba)!=hAPP_nat_nat(plus_plus_nat(Aa),C_1)|Ba=C_1.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(Aa),Ba)=hAPP_nat_nat(plus_plus_nat(Aa),C_1)|Ba!=C_1.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_110),B_85)),C_50)=hAPP_int_int(plus_plus_int(A_110),hAPP_int_int(plus_plus_int(B_85),C_50)).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_110),B_85)),C_50)=hAPP_real_real(plus_plus_real(A_110),hAPP_real_real(plus_plus_real(B_85),C_50)).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_110),B_85)),C_50)=hAPP_nat_nat(plus_plus_nat(A_110),hAPP_nat_nat(plus_plus_nat(B_85),C_50)).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=hAPP_int_int(minus_minus_int(C_1),D_2)|Aa!=Ba|C_1=D_2.
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=hAPP_int_int(minus_minus_int(C_1),D_2)|Aa=Ba|C_1!=D_2.
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=hAPP_real_real(minus_minus_real(C_1),D_2)|Aa!=Ba|C_1=D_2.
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=hAPP_real_real(minus_minus_real(C_1),D_2)|Aa=Ba|C_1!=D_2.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3)=hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(Z_1),W_1)=hAPP_int_int(times_times_int(W_1),Z_1).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(Z1),Z2)),Z3)=hAPP_int_int(plus_plus_int(Z1),hAPP_int_int(plus_plus_int(Z2),Z3)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(Y),Z_1))=hAPP_int_int(plus_plus_int(Y),hAPP_int_int(plus_plus_int(X),Z_1)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(Z_1),W_1)=hAPP_int_int(plus_plus_int(W_1),Z_1).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_109),E_2)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_84),E_2)),C_49))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_109),B_84)),E_2)),C_49).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_109),E_2)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(B_84),E_2)),C_49))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_109),B_84)),E_2)),C_49).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_109),E_2)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B_84),E_2)),C_49))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_109),B_84)),E_2)),C_49).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X_45),Y_45)),Ya_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_45),Ya_1)),hAPP_real_real(times_times_real(Y_45),Ya_1)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_108),A_107)),B_83)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_108),B_83)),hAPP_real_real(times_times_real(A_107),B_83)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_106),B_82)),C_48)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_106),C_48)),hAPP_int_int(times_times_int(B_82),C_48)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_106),B_82)),C_48)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_106),C_48)),hAPP_real_real(times_times_real(B_82),C_48)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_106),B_82)),C_48)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_106),C_48)),hAPP_nat_nat(times_times_nat(B_82),C_48)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(Xa_1),hAPP_real_real(plus_plus_real(X_44),Y_44))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Xa_1),X_44)),hAPP_real_real(times_times_real(Xa_1),Y_44)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(A_105),hAPP_real_real(plus_plus_real(B_81),B_80))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_105),B_81)),hAPP_real_real(times_times_real(A_105),B_80)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(X_43),Y_43)),Ya)=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_43),Ya)),hAPP_real_real(times_times_real(Y_43),Ya)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A_104),A_103)),B_79)=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_104),B_79)),hAPP_real_real(times_times_real(A_103),B_79)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(Xa),hAPP_real_real(minus_minus_real(X_42),Y_42))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(Xa),X_42)),hAPP_real_real(times_times_real(Xa),Y_42)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(A_102),hAPP_real_real(minus_minus_real(B_78),B_77))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_102),B_78)),hAPP_real_real(times_times_real(A_102),B_77)).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(A_101),C_47)),hAPP_int_int(plus_plus_int(B_76),D_12))=hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A_101),B_76)),hAPP_int_int(minus_minus_int(C_47),D_12)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A_101),C_47)),hAPP_real_real(plus_plus_real(B_76),D_12))=hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(A_101),B_76)),hAPP_real_real(minus_minus_real(C_47),D_12)).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(A_100),B_75)),B_75)=A_100.
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A_100),B_75)),B_75)=A_100.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Y_1)),hAPP_int_int(times_times_int(X_1),Z))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Z)),hAPP_int_int(times_times_int(X_1),Y_1))|W=X_1|Y_1=Z.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Y_1)),hAPP_int_int(times_times_int(X_1),Z))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Z)),hAPP_int_int(times_times_int(X_1),Y_1))|W!=X_1.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Y_1)),hAPP_int_int(times_times_int(X_1),Z))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Z)),hAPP_int_int(times_times_int(X_1),Y_1))|Y_1!=Z.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Y_1)),hAPP_real_real(times_times_real(X_1),Z))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Z)),hAPP_real_real(times_times_real(X_1),Y_1))|W=X_1|Y_1=Z.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Y_1)),hAPP_real_real(times_times_real(X_1),Z))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Z)),hAPP_real_real(times_times_real(X_1),Y_1))|W!=X_1.
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Y_1)),hAPP_real_real(times_times_real(X_1),Z))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W),Z)),hAPP_real_real(times_times_real(X_1),Y_1))|Y_1!=Z.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Y_1)),hAPP_nat_nat(times_times_nat(X_1),Z))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Z)),hAPP_nat_nat(times_times_nat(X_1),Y_1))|W=X_1|Y_1=Z.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Y_1)),hAPP_nat_nat(times_times_nat(X_1),Z))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Z)),hAPP_nat_nat(times_times_nat(X_1),Y_1))|W!=X_1.
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Y_1)),hAPP_nat_nat(times_times_nat(X_1),Z))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W),Z)),hAPP_nat_nat(times_times_nat(X_1),Y_1))|Y_1!=Z.
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_99),M_7)),hAPP_int_int(times_times_int(B_74),M_7))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_99),B_74)),M_7).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_99),M_7)),hAPP_real_real(times_times_real(B_74),M_7))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_99),B_74)),M_7).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_99),M_7)),hAPP_nat_nat(times_times_nat(B_74),M_7))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_99),B_74)),M_7).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_98),B_73)),C_46)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_98),C_46)),hAPP_int_int(times_times_int(B_73),C_46)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_98),B_73)),C_46)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_98),C_46)),hAPP_real_real(times_times_real(B_73),C_46)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_98),B_73)),C_46)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_98),C_46)),hAPP_nat_nat(times_times_nat(B_73),C_46)).
% 11.39/11.37 0 [] Aa=Ba|C_1=D_2|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),D_2))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),D_2)),hAPP_int_int(times_times_int(Ba),C_1)).
% 11.39/11.37 0 [] Aa!=Ba|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),D_2))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),D_2)),hAPP_int_int(times_times_int(Ba),C_1)).
% 11.39/11.37 0 [] C_1!=D_2|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),D_2))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),D_2)),hAPP_int_int(times_times_int(Ba),C_1)).
% 11.39/11.37 0 [] Aa=Ba|C_1=D_2|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),D_2))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),D_2)),hAPP_real_real(times_times_real(Ba),C_1)).
% 11.39/11.37 0 [] Aa!=Ba|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),D_2))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),D_2)),hAPP_real_real(times_times_real(Ba),C_1)).
% 11.39/11.37 0 [] C_1!=D_2|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),D_2))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),D_2)),hAPP_real_real(times_times_real(Ba),C_1)).
% 11.39/11.37 0 [] Aa=Ba|C_1=D_2|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),C_1)),hAPP_nat_nat(times_times_nat(Ba),D_2))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),D_2)),hAPP_nat_nat(times_times_nat(Ba),C_1)).
% 11.39/11.37 0 [] Aa!=Ba|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),C_1)),hAPP_nat_nat(times_times_nat(Ba),D_2))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),D_2)),hAPP_nat_nat(times_times_nat(Ba),C_1)).
% 11.39/11.37 0 [] C_1!=D_2|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),C_1)),hAPP_nat_nat(times_times_nat(Ba),D_2))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Aa),D_2)),hAPP_nat_nat(times_times_nat(Ba),C_1)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(X_41),hAPP_int_int(plus_plus_int(Y_41),Z_17))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_41),Y_41)),hAPP_int_int(times_times_int(X_41),Z_17)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(X_41),hAPP_real_real(plus_plus_real(Y_41),Z_17))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_41),Y_41)),hAPP_real_real(times_times_real(X_41),Z_17)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(X_41),hAPP_nat_nat(plus_plus_nat(Y_41),Z_17))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X_41),Y_41)),hAPP_nat_nat(times_times_nat(X_41),Z_17)).
% 11.39/11.37 0 [] product_Pair_int_int(A_97,B_72)!=product_Pair_int_int(A_96,B_71)|A_97=A_96.
% 11.39/11.37 0 [] product_Pair_int_int(A_97,B_72)!=product_Pair_int_int(A_96,B_71)|B_72=B_71.
% 11.39/11.37 0 [] produc282740534nt_int(A_97,B_72)!=produc282740534nt_int(A_96,B_71)|A_97=A_96.
% 11.39/11.37 0 [] produc282740534nt_int(A_97,B_72)!=produc282740534nt_int(A_96,B_71)|B_72=B_71.
% 11.39/11.37 0 [] product_Pair_int_int(Aa,Ba)!=product_Pair_int_int(A_95,B_70)|Aa=A_95.
% 11.39/11.37 0 [] product_Pair_int_int(Aa,Ba)!=product_Pair_int_int(A_95,B_70)|Ba=B_70.
% 11.39/11.37 0 [] product_Pair_int_int(Aa,Ba)=product_Pair_int_int(A_95,B_70)|Aa!=A_95|Ba!=B_70.
% 11.39/11.37 0 [] produc282740534nt_int(Aa,Ba)!=produc282740534nt_int(A_95,B_70)|Aa=A_95.
% 11.39/11.37 0 [] produc282740534nt_int(Aa,Ba)!=produc282740534nt_int(A_95,B_70)|Ba=B_70.
% 11.39/11.37 0 [] produc282740534nt_int(Aa,Ba)=produc282740534nt_int(A_95,B_70)|Aa!=A_95|Ba!=B_70.
% 11.39/11.37 0 [] -hBOOL(hAPP_P603027463t_bool(P_1,$f3(P_1)))|hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_49,B_65))).
% 11.39/11.37 0 [] hBOOL(hAPP_P603027463t_bool(P_1,X1))| -hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int($f5(P_1),$f4(P_1)))).
% 11.39/11.37 0 [] -hBOOL(hAPP_P178748804t_bool(P_1,$f6(P_1)))|hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int(A_49,B_65))).
% 11.39/11.37 0 [] hBOOL(hAPP_P178748804t_bool(P_1,X1))| -hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int($f8(P_1),$f7(P_1)))).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_94),B_69)),hAPP_int_int(plus_plus_int(C_45),D_11))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_94),C_45)),hAPP_int_int(plus_plus_int(B_69),D_11)).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_94),B_69)),hAPP_real_real(plus_plus_real(C_45),D_11))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_94),C_45)),hAPP_real_real(plus_plus_real(B_69),D_11)).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_94),B_69)),hAPP_nat_nat(plus_plus_nat(C_45),D_11))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_94),C_45)),hAPP_nat_nat(plus_plus_nat(B_69),D_11)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_93),B_68)),C_44)=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_93),C_44)),B_68).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_93),B_68)),C_44)=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_93),C_44)),B_68).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_93),B_68)),C_44)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_93),C_44)),B_68).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(A_92),B_67)=hAPP_int_int(times_times_int(B_67),A_92).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(A_92),B_67)=hAPP_real_real(times_times_real(B_67),A_92).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(A_92),B_67)=hAPP_nat_nat(times_times_nat(B_67),A_92).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(Lx_6),hAPP_int_int(times_times_int(Rx_6),Ry_4))=hAPP_int_int(times_times_int(Rx_6),hAPP_int_int(times_times_int(Lx_6),Ry_4)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(Lx_6),hAPP_real_real(times_times_real(Rx_6),Ry_4))=hAPP_real_real(times_times_real(Rx_6),hAPP_real_real(times_times_real(Lx_6),Ry_4)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(Lx_6),hAPP_nat_nat(times_times_nat(Rx_6),Ry_4))=hAPP_nat_nat(times_times_nat(Rx_6),hAPP_nat_nat(times_times_nat(Lx_6),Ry_4)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(Lx_5),hAPP_int_int(times_times_int(Rx_5),Ry_3))=hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_5),Rx_5)),Ry_3).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(Lx_5),hAPP_real_real(times_times_real(Rx_5),Ry_3))=hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_5),Rx_5)),Ry_3).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(Lx_5),hAPP_nat_nat(times_times_nat(Rx_5),Ry_3))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_5),Rx_5)),Ry_3).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_4),Ly_4)),Rx_4)=hAPP_int_int(times_times_int(Lx_4),hAPP_int_int(times_times_int(Ly_4),Rx_4)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_4),Ly_4)),Rx_4)=hAPP_real_real(times_times_real(Lx_4),hAPP_real_real(times_times_real(Ly_4),Rx_4)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_4),Ly_4)),Rx_4)=hAPP_nat_nat(times_times_nat(Lx_4),hAPP_nat_nat(times_times_nat(Ly_4),Rx_4)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_3)),Rx_3)=hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_3).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_3),Ly_3)),Rx_3)=hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_3),Rx_3)),Ly_3).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_3),Ly_3)),Rx_3)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_3),Rx_3)),Ly_3).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_2),Ly_2)),hAPP_int_int(times_times_int(Rx_2),Ry_2))=hAPP_int_int(times_times_int(Lx_2),hAPP_int_int(times_times_int(Ly_2),hAPP_int_int(times_times_int(Rx_2),Ry_2))).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_2),Ly_2)),hAPP_real_real(times_times_real(Rx_2),Ry_2))=hAPP_real_real(times_times_real(Lx_2),hAPP_real_real(times_times_real(Ly_2),hAPP_real_real(times_times_real(Rx_2),Ry_2))).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_2),Ly_2)),hAPP_nat_nat(times_times_nat(Rx_2),Ry_2))=hAPP_nat_nat(times_times_nat(Lx_2),hAPP_nat_nat(times_times_nat(Ly_2),hAPP_nat_nat(times_times_nat(Rx_2),Ry_2))).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_1),Ly_1)),hAPP_int_int(times_times_int(Rx_1),Ry_1))=hAPP_int_int(times_times_int(Rx_1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_1),Ly_1)),Ry_1)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_1),Ly_1)),hAPP_real_real(times_times_real(Rx_1),Ry_1))=hAPP_real_real(times_times_real(Rx_1),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_1),Ly_1)),Ry_1)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_1),Ly_1)),hAPP_nat_nat(times_times_nat(Rx_1),Ry_1))=hAPP_nat_nat(times_times_nat(Rx_1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_1),Ly_1)),Ry_1)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx),Ly)),hAPP_int_int(times_times_int(Rx),Ry))=hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx),Rx)),hAPP_int_int(times_times_int(Ly),Ry)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx),Ly)),hAPP_real_real(times_times_real(Rx),Ry))=hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx),Rx)),hAPP_real_real(times_times_real(Ly),Ry)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx),Ly)),hAPP_nat_nat(times_times_nat(Rx),Ry))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx),Rx)),hAPP_nat_nat(times_times_nat(Ly),Ry)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(A_91),C_43)=hAPP_int_int(plus_plus_int(C_43),A_91).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(A_91),C_43)=hAPP_real_real(plus_plus_real(C_43),A_91).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(A_91),C_43)=hAPP_nat_nat(plus_plus_nat(C_43),A_91).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(A_90),hAPP_int_int(plus_plus_int(C_42),D_10))=hAPP_int_int(plus_plus_int(C_42),hAPP_int_int(plus_plus_int(A_90),D_10)).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(A_90),hAPP_real_real(plus_plus_real(C_42),D_10))=hAPP_real_real(plus_plus_real(C_42),hAPP_real_real(plus_plus_real(A_90),D_10)).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(A_90),hAPP_nat_nat(plus_plus_nat(C_42),D_10))=hAPP_nat_nat(plus_plus_nat(C_42),hAPP_nat_nat(plus_plus_nat(A_90),D_10)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(A_89),hAPP_int_int(plus_plus_int(C_41),D_9))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_89),C_41)),D_9).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(A_89),hAPP_real_real(plus_plus_real(C_41),D_9))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_89),C_41)),D_9).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(A_89),hAPP_nat_nat(plus_plus_nat(C_41),D_9))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_89),C_41)),D_9).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_88),B_66)),C_40)=hAPP_int_int(plus_plus_int(A_88),hAPP_int_int(plus_plus_int(B_66),C_40)).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_88),B_66)),C_40)=hAPP_real_real(plus_plus_real(A_88),hAPP_real_real(plus_plus_real(B_66),C_40)).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_88),B_66)),C_40)=hAPP_nat_nat(plus_plus_nat(A_88),hAPP_nat_nat(plus_plus_nat(B_66),C_40)).
% 11.39/11.37 0 [] -hBOOL(hAPP_P603027463t_bool(P_1,X1))|hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int($f10(P_1),$f9(P_1)))).
% 11.39/11.37 0 [] hBOOL(hAPP_P603027463t_bool(P_1,$f11(P_1)))| -hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_49,B_65))).
% 11.39/11.37 0 [] -hBOOL(hAPP_P178748804t_bool(P_1,X1))|hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int($f13(P_1),$f12(P_1)))).
% 11.39/11.37 0 [] hBOOL(hAPP_P178748804t_bool(P_1,$f14(P_1)))| -hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int(A_49,B_65))).
% 11.39/11.37 0 [] -hBOOL(hAPP_P178748804t_bool(P_1,produc282740534nt_int($f17(X_1,P_1),product_Pair_int_int($f16(X_1,P_1),$f15(X_1,P_1)))))|hBOOL(hAPP_P178748804t_bool(P_1,X_1)).
% 11.39/11.37 0 [] Y_40=produc282740534nt_int($f20(Y_40),product_Pair_int_int($f19(Y_40),$f18(Y_40))).
% 11.39/11.37 0 [] P_3=product_Pair_int_int($f22(P_3),$f21(P_3)).
% 11.39/11.37 0 [] P_3=produc282740534nt_int($f24(P_3),$f23(P_3)).
% 11.39/11.37 0 [] -hBOOL(member_real(X_1,A_87))|hBOOL(hAPP_real_bool(A_87,X_1)).
% 11.39/11.37 0 [] hBOOL(member_real(X_1,A_87))| -hBOOL(hAPP_real_bool(A_87,X_1)).
% 11.39/11.37 0 [] Y_39=product_Pair_int_int($f26(Y_39),$f25(Y_39)).
% 11.39/11.37 0 [] Y_39=produc282740534nt_int($f28(Y_39),$f27(Y_39)).
% 11.39/11.37 0 [] -hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))|hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))|hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(X_40),X_40)),one_one_int)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X_40),one_one_int)),hAPP_int_int(minus_minus_int(X_40),one_one_int)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(X_40),X_40)),one_one_real)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(X_40),one_one_real)),hAPP_real_real(minus_minus_real(X_40),one_one_real)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Aa),Ba)),E_1)),C_1)),D_2)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Aa),E_1)),C_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Ba),E_1)),D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Aa),E_1)),C_1)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Ba),E_1)),D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(Ba),Aa)),E_1)),D_2))).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_17)),hAPP_int_int(minus_minus_int(number_number_of_int(W_11)),C_38))=hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_17),W_11))),C_38).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(V_17)),hAPP_real_real(minus_minus_real(number267125858f_real(W_11)),C_38))=hAPP_real_real(minus_minus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_17),W_11))),C_38).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))| -hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 11.39/11.37 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 11.39/11.37 0 [] hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))| -hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(M_6),N_3))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),M_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),N_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(M_6),N_3))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(M_6),N_3))).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_86),hAPP_int_int(plus_plus_int(A_86),one_one_int))).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_86),hAPP_real_real(plus_plus_real(A_86),one_one_real))).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_86),hAPP_nat_nat(plus_plus_nat(A_86),one_one_nat))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_85),B_64))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_37),D_8))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_85),C_37)),hAPP_int_int(plus_plus_int(B_64),D_8))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_85),B_64))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_37),D_8))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_85),C_37)),hAPP_real_real(plus_plus_real(B_64),D_8))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_85),B_64))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_37),D_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_85),C_37)),hAPP_nat_nat(plus_plus_nat(B_64),D_8))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_84),B_63))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_36),D_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_84),C_36)),hAPP_int_int(plus_plus_int(B_63),D_7))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_84),B_63))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_36),D_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_84),C_36)),hAPP_real_real(plus_plus_real(B_63),D_7))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_84),B_63))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_36),D_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_84),C_36)),hAPP_nat_nat(plus_plus_nat(B_63),D_7))).
% 11.39/11.37 0 [] one_one_int!=X_1|X_1=one_one_int.
% 11.39/11.37 0 [] one_one_int=X_1|X_1!=one_one_int.
% 11.39/11.37 0 [] one_one_real!=X_1|X_1=one_one_real.
% 11.39/11.37 0 [] one_one_real=X_1|X_1!=one_one_real.
% 11.39/11.37 0 [] one_one_nat!=X_1|X_1=one_one_nat.
% 11.39/11.37 0 [] one_one_nat=X_1|X_1!=one_one_nat.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z)).
% 11.39/11.37 0 [] number_number_of_int(W)!=X_1|X_1=number_number_of_int(W).
% 11.39/11.37 0 [] number_number_of_int(W)=X_1|X_1!=number_number_of_int(W).
% 11.39/11.37 0 [] number267125858f_real(W)!=X_1|X_1=number267125858f_real(W).
% 11.39/11.37 0 [] number267125858f_real(W)=X_1|X_1!=number267125858f_real(W).
% 11.39/11.37 0 [] number_number_of_nat(W)!=X_1|X_1=number_number_of_nat(W).
% 11.39/11.37 0 [] number_number_of_nat(W)=X_1|X_1!=number_number_of_nat(W).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_1)),number_number_of_int(W)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(W)),number_number_of_int(V_1))).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_1)),number_number_of_int(W)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(W)),number_number_of_int(V_1))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(V_1)),number267125858f_real(W)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(W)),number267125858f_real(V_1))).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(V_1)),number267125858f_real(W)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(W)),number267125858f_real(V_1))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(W)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(W)),number_number_of_nat(V_1))).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(W)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(W)),number_number_of_nat(V_1))).
% 11.39/11.37 0 [] number_number_of_int(X_1)!=number_number_of_int(Y_1)|X_1=Y_1.
% 11.39/11.37 0 [] number_number_of_int(X_1)=number_number_of_int(Y_1)|X_1!=Y_1.
% 11.39/11.37 0 [] number267125858f_real(X_1)!=number267125858f_real(Y_1)|X_1=Y_1.
% 11.39/11.37 0 [] number267125858f_real(X_1)=number267125858f_real(Y_1)|X_1!=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X_1)),number_number_of_int(Y_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X_1)),number_number_of_int(Y_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X_1)),number267125858f_real(Y_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X_1)),number267125858f_real(Y_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(X_1)),number_number_of_int(Y_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(X_1)),number_number_of_int(Y_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(X_1)),number267125858f_real(Y_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(X_1)),number267125858f_real(Y_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)).
% 11.39/11.37 0 [] X_39=Y_38|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_39),Y_38))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_38),X_39)).
% 11.39/11.37 0 [] X_39=Y_38|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_39),Y_38))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_38),X_39)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W_1),one_one_int)),Z_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_38),Y_37))|X_38=Y_37|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_38),Y_37)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_38),Y_37))|X_38=Y_37|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),Y_37)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_38),Y_37))|X_38=Y_37|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_38),Y_37)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),hAPP_int_int(minus_minus_int(Z),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),hAPP_int_int(minus_minus_int(Z),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_10),W_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_16),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(W_10),Z_16)),hAPP_int_int(plus_plus_int(W_1),Z_1))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|W=Z.
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),hAPP_int_int(plus_plus_int(Z),one_one_int)))|W!=Z.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(Aa),C_1)),hAPP_int_int(plus_plus_int(Ba),C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(Aa),C_1)),hAPP_int_int(plus_plus_int(Ba),C_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(Aa),C_1)),hAPP_real_real(plus_plus_real(Ba),C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(Aa),C_1)),hAPP_real_real(plus_plus_real(Ba),C_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(Aa),C_1)),hAPP_nat_nat(plus_plus_nat(Ba),C_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(Aa),C_1)),hAPP_nat_nat(plus_plus_nat(Ba),C_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_1),Aa)),hAPP_int_int(plus_plus_int(C_1),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_1),Aa)),hAPP_int_int(plus_plus_int(C_1),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_1),Aa)),hAPP_real_real(plus_plus_real(C_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_1),Aa)),hAPP_real_real(plus_plus_real(C_1),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_1),Aa)),hAPP_nat_nat(plus_plus_nat(C_1),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_1),Aa)),hAPP_nat_nat(plus_plus_nat(C_1),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_83),B_62))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_83),C_35)),hAPP_int_int(plus_plus_int(B_62),C_35))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_83),B_62))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_83),C_35)),hAPP_real_real(plus_plus_real(B_62),C_35))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_83),B_62))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_83),C_35)),hAPP_nat_nat(plus_plus_nat(B_62),C_35))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_82),B_61))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_34),A_82)),hAPP_int_int(plus_plus_int(C_34),B_61))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_82),B_61))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_34),A_82)),hAPP_real_real(plus_plus_real(C_34),B_61))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_82),B_61))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_34),A_82)),hAPP_nat_nat(plus_plus_nat(C_34),B_61))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_81),B_60))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_33),D_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_81),C_33)),hAPP_int_int(plus_plus_int(B_60),D_6))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_81),B_60))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_33),D_6))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_81),C_33)),hAPP_real_real(plus_plus_real(B_60),D_6))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_81),B_60))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_33),D_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_81),C_33)),hAPP_nat_nat(plus_plus_nat(B_60),D_6))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_80),C_32)),hAPP_int_int(plus_plus_int(B_59),C_32)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_80),B_59)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_80),C_32)),hAPP_real_real(plus_plus_real(B_59),C_32)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_80),B_59)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_80),C_32)),hAPP_nat_nat(plus_plus_nat(B_59),C_32)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_80),B_59)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_31),A_79)),hAPP_int_int(plus_plus_int(C_31),B_58)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_79),B_58)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_31),A_79)),hAPP_real_real(plus_plus_real(C_31),B_58)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_79),B_58)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_31),A_79)),hAPP_nat_nat(plus_plus_nat(C_31),B_58)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_79),B_58)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(one_one_int),A_78)=A_78.
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(one_one_real),A_78)=A_78.
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(one_one_nat),A_78)=A_78.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(A_77),one_one_int)=A_77.
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(A_77),one_one_real)=A_77.
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(A_77),one_one_nat)=A_77.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(one_one_int),A_76)=A_76.
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(one_one_real),A_76)=A_76.
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(one_one_nat),A_76)=A_76.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(one_one_int),A_75)=A_75.
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(one_one_real),A_75)=A_75.
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(one_one_nat),A_75)=A_75.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(A_74),one_one_int)=A_74.
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(A_74),one_one_real)=A_74.
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(A_74),one_one_nat)=A_74.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(A_73),one_one_int)=A_73.
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(A_73),one_one_real)=A_73.
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(A_73),one_one_nat)=A_73.
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=hAPP_int_int(minus_minus_int(C_1),D_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=hAPP_int_int(minus_minus_int(C_1),D_2)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=hAPP_real_real(minus_minus_real(C_1),D_2)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=hAPP_real_real(minus_minus_real(C_1),D_2)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D_2)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Aa),C_1)),hAPP_int_int(plus_plus_int(Ba),C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Aa),C_1)),hAPP_int_int(plus_plus_int(Ba),C_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Aa),C_1)),hAPP_real_real(plus_plus_real(Ba),C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Aa),C_1)),hAPP_real_real(plus_plus_real(Ba),C_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(Aa),C_1)),hAPP_nat_nat(plus_plus_nat(Ba),C_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(Aa),C_1)),hAPP_nat_nat(plus_plus_nat(Ba),C_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_1),Aa)),hAPP_int_int(plus_plus_int(C_1),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_1),Aa)),hAPP_int_int(plus_plus_int(C_1),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_1),Aa)),hAPP_real_real(plus_plus_real(C_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_1),Aa)),hAPP_real_real(plus_plus_real(C_1),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_1),Aa)),hAPP_nat_nat(plus_plus_nat(C_1),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_1),Aa)),hAPP_nat_nat(plus_plus_nat(C_1),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_72),B_57))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_72),C_30)),hAPP_int_int(plus_plus_int(B_57),C_30))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_72),B_57))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_72),C_30)),hAPP_real_real(plus_plus_real(B_57),C_30))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_72),B_57))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_72),C_30)),hAPP_nat_nat(plus_plus_nat(B_57),C_30))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_71),B_56))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_29),A_71)),hAPP_int_int(plus_plus_int(C_29),B_56))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_71),B_56))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_29),A_71)),hAPP_real_real(plus_plus_real(C_29),B_56))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_71),B_56))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_29),A_71)),hAPP_nat_nat(plus_plus_nat(C_29),B_56))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_70),B_55))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_28),D_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_70),C_28)),hAPP_int_int(plus_plus_int(B_55),D_5))).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_70),B_55))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_28),D_5))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_70),C_28)),hAPP_real_real(plus_plus_real(B_55),D_5))).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_70),B_55))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_28),D_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_70),C_28)),hAPP_nat_nat(plus_plus_nat(B_55),D_5))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_69),C_27)),hAPP_int_int(plus_plus_int(B_54),C_27)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_69),B_54)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_69),C_27)),hAPP_real_real(plus_plus_real(B_54),C_27)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_69),B_54)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_69),C_27)),hAPP_nat_nat(plus_plus_nat(B_54),C_27)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_69),B_54)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_26),A_68)),hAPP_int_int(plus_plus_int(C_26),B_53)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_68),B_53)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_26),A_68)),hAPP_real_real(plus_plus_real(C_26),B_53)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_68),B_53)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_26),A_68)),hAPP_nat_nat(plus_plus_nat(C_26),B_53)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_68),B_53)).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=hAPP_int_int(minus_minus_int(C_1),D_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=hAPP_int_int(minus_minus_int(C_1),D_2)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=hAPP_real_real(minus_minus_real(C_1),D_2)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=hAPP_real_real(minus_minus_real(C_1),D_2)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),D_2)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(number_number_of_int(V)),number_number_of_int(W_1))=number_number_of_int(hAPP_int_int(times_times_int(V),W_1)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V)),number_number_of_int(W_1))=number_number_of_int(hAPP_int_int(plus_plus_int(V),W_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(I),K)),hAPP_int_int(plus_plus_int(J),K))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),J))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(K),I)),hAPP_int_int(plus_plus_int(K),J))).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(one_one_int),Z_1)=Z_1.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(Z_1),one_one_int)=Z_1.
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(number_number_of_int(V_16)),hAPP_int_int(plus_plus_int(B_52),C_25))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(V_16)),B_52)),hAPP_int_int(times_times_int(number_number_of_int(V_16)),C_25)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(number267125858f_real(V_16)),hAPP_real_real(plus_plus_real(B_52),C_25))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(number267125858f_real(V_16)),B_52)),hAPP_real_real(times_times_real(number267125858f_real(V_16)),C_25)).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(number_number_of_nat(V_16)),hAPP_nat_nat(plus_plus_nat(B_52),C_25))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(V_16)),B_52)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_16)),C_25)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_67),B_51)),number_number_of_int(V_15))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_67),number_number_of_int(V_15))),hAPP_int_int(times_times_int(B_51),number_number_of_int(V_15))).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_67),B_51)),number267125858f_real(V_15))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_67),number267125858f_real(V_15))),hAPP_real_real(times_times_real(B_51),number267125858f_real(V_15))).
% 11.39/11.37 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_67),B_51)),number_number_of_nat(V_15))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_67),number_number_of_nat(V_15))),hAPP_nat_nat(times_times_nat(B_51),number_number_of_nat(V_15))).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(number_number_of_int(V_14)),hAPP_int_int(minus_minus_int(B_50),C_24))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(V_14)),B_50)),hAPP_int_int(times_times_int(number_number_of_int(V_14)),C_24)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(number267125858f_real(V_14)),hAPP_real_real(minus_minus_real(B_50),C_24))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(number267125858f_real(V_14)),B_50)),hAPP_real_real(times_times_real(number267125858f_real(V_14)),C_24)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A_66),B_49)),number_number_of_int(V_13))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(A_66),number_number_of_int(V_13))),hAPP_int_int(times_times_int(B_49),number_number_of_int(V_13))).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A_66),B_49)),number267125858f_real(V_13))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_66),number267125858f_real(V_13))),hAPP_real_real(times_times_real(B_49),number267125858f_real(V_13))).
% 11.39/11.37 0 [] number_number_of_int(hAPP_int_int(times_times_int(V_12),W_9))=hAPP_int_int(times_times_int(number_number_of_int(V_12)),number_number_of_int(W_9)).
% 11.39/11.37 0 [] number267125858f_real(hAPP_int_int(times_times_int(V_12),W_9))=hAPP_real_real(times_times_real(number267125858f_real(V_12)),number267125858f_real(W_9)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(number_number_of_int(V_11)),number_number_of_int(W_8))=number_number_of_int(hAPP_int_int(times_times_int(V_11),W_8)).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(number267125858f_real(V_11)),number267125858f_real(W_8))=number267125858f_real(hAPP_int_int(times_times_int(V_11),W_8)).
% 11.39/11.37 0 [] hAPP_int_int(times_times_int(number_number_of_int(V_10)),hAPP_int_int(times_times_int(number_number_of_int(W_7)),Z_15))=hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(V_10),W_7))),Z_15).
% 11.39/11.37 0 [] hAPP_real_real(times_times_real(number267125858f_real(V_10)),hAPP_real_real(times_times_real(number267125858f_real(W_7)),Z_15))=hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(times_times_int(V_10),W_7))),Z_15).
% 11.39/11.37 0 [] number_number_of_int(hAPP_int_int(plus_plus_int(V_9),W_6))=hAPP_int_int(plus_plus_int(number_number_of_int(V_9)),number_number_of_int(W_6)).
% 11.39/11.37 0 [] number267125858f_real(hAPP_int_int(plus_plus_int(V_9),W_6))=hAPP_real_real(plus_plus_real(number267125858f_real(V_9)),number267125858f_real(W_6)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_8)),number_number_of_int(W_5))=number_number_of_int(hAPP_int_int(plus_plus_int(V_8),W_5)).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(V_8)),number267125858f_real(W_5))=number267125858f_real(hAPP_int_int(plus_plus_int(V_8),W_5)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_7)),hAPP_int_int(plus_plus_int(number_number_of_int(W_4)),Z_14))=hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_7),W_4))),Z_14).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(V_7)),hAPP_real_real(plus_plus_real(number267125858f_real(W_4)),Z_14))=hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_7),W_4))),Z_14).
% 11.39/11.37 0 [] number_number_of_int(hAPP_int_int(minus_minus_int(V_6),W_3))=hAPP_int_int(minus_minus_int(number_number_of_int(V_6)),number_number_of_int(W_3)).
% 11.39/11.37 0 [] number267125858f_real(hAPP_int_int(minus_minus_int(V_6),W_3))=hAPP_real_real(minus_minus_real(number267125858f_real(V_6)),number267125858f_real(W_3)).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(M_5),M_5)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),M_5).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(M_5),M_5)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),M_5).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(M_5),M_5)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)),M_5).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(M_4),hAPP_int_int(times_times_int(A_65),M_4))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_65),one_one_int)),M_4).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(M_4),hAPP_real_real(times_times_real(A_65),M_4))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_65),one_one_real)),M_4).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(M_4),hAPP_nat_nat(times_times_nat(A_65),M_4))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_65),one_one_nat)),M_4).
% 11.39/11.37 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_64),M_3)),M_3)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_64),one_one_int)),M_3).
% 11.39/11.37 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_64),M_3)),M_3)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_64),one_one_real)),M_3).
% 11.39/11.37 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_64),M_3)),M_3)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_64),one_one_nat)),M_3).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 11.39/11.37 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 11.39/11.37 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_37),X_37)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_37),X_37)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_37),X_37)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_36),X_36))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_13),Y_36))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_13),X_36)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_36),X_36))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_13),Y_36))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_13),X_36)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_36),X_36))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_13),Y_36))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_13),X_36)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_35),Y_35))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_35),Z_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Z_12)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_35),Y_35))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_35),Z_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_35),Z_12)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_35),Y_35))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_35),Z_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Z_12)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_34),X_34))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_11),Y_34))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_11),X_34)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_34),X_34))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_11),Y_34))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_11),X_34)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_34),X_34))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_11),Y_34))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_11),X_34)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_33),Y_33))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_33),Z_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_33),Z_10)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_33),Y_33))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_33),Z_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_33),Z_10)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_33),Y_33))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_33),Z_10))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_33),Z_10)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_48),A_63))|A_63=B_48|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_48),A_63)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_48),A_63))|A_63=B_48|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_48),A_63)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_48),A_63))|A_63=B_48|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_48),A_63)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_62),B_47))|A_62=B_47|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_62),B_47)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_62),B_47))|A_62=B_47|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_62),B_47)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_62),B_47))|A_62=B_47|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_62),B_47)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_32),Y_32))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_32),Y_32))|X_32=Y_32.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_32),Y_32))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_32),Y_32))|X_32=Y_32.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_32),Y_32))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_32),Y_32))|X_32=Y_32.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_31),Y_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_31),Y_31)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_31),Y_31))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_31),Y_31)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_31),Y_31))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_31),Y_31)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),W_1)).
% 11.39/11.37 0 [] number_number_of_int(K)=K.
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),W))|Z!=W.
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|Z=W.
% 11.39/11.37 0 [] 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)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_1)),number_number_of_int(L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_1)),number_number_of_int(L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K_1)),number_number_of_int(L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K_1)),number_number_of_int(L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),J))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J),K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),K)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1))|Z_1=W_1.
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_30),Y_30))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_30),X_30)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_30),Y_30))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_30),X_30)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Y_30))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_30),X_30)).
% 11.39/11.37 0 [] X_1!=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.39/11.37 0 [] X_1!=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 11.39/11.37 0 [] X_1=Y_1| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 11.39/11.37 0 [] X_1!=Y_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.39/11.37 0 [] X_1!=Y_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1)).
% 11.39/11.37 0 [] X_1=Y_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1)).
% 11.39/11.37 0 [] X_1!=Y_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 11.39/11.37 0 [] X_1!=Y_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 11.39/11.37 0 [] X_1=Y_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 11.39/11.37 0 [] X_29!=Y_29|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_29),Y_29)).
% 11.39/11.37 0 [] X_29!=Y_29|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_29),Y_29)).
% 11.39/11.37 0 [] X_29!=Y_29|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_29),Y_29)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] A_61!=B_46| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_46),C_23))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_61),C_23)).
% 11.39/11.37 0 [] A_61!=B_46| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_46),C_23))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_61),C_23)).
% 11.39/11.37 0 [] A_61!=B_46| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_46),C_23))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_61),C_23)).
% 11.39/11.37 0 [] A_60!=B_45| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_22),B_45))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_22),A_60)).
% 11.39/11.37 0 [] A_60!=B_45| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_22),B_45))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_22),A_60)).
% 11.39/11.37 0 [] A_60!=B_45| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_22),B_45))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_22),A_60)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_59),B_44))|B_44!=C_21|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_59),C_21)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_59),B_44))|B_44!=C_21|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_59),C_21)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_59),B_44))|B_44!=C_21|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_59),C_21)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_43),A_58))|B_43!=C_20|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_20),A_58)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_43),A_58))|B_43!=C_20|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_20),A_58)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_43),A_58))|B_43!=C_20|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_20),A_58)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_28),Y_28))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_28),X_28))|X_28=Y_28.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_28),Y_28))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_28),X_28))|X_28=Y_28.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_28),Y_28))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_28),X_28))|X_28=Y_28.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),Y_27))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_27),Z_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),Z_9)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_27),Y_27))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_27),Z_9))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_27),Z_9)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Y_27))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_27),Z_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Z_9)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_26),X_26))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_26),Y_26))|X_26=Y_26.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_26),X_26))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_26),Y_26))|X_26=Y_26.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_26),X_26))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_26),Y_26))|X_26=Y_26.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_25),X_25))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),Y_25))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),X_25)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_25),X_25))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_8),Y_25))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_8),X_25)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_25),X_25))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),Y_25))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),X_25)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_24),Y_24))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_24),X_24)).
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_24))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_24),X_24)).
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_24),Y_24))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_24),X_24)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_23),X_23)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_23),X_23)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),X_23)).
% 11.39/11.37 0 [] X_1=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1)).
% 11.39/11.37 0 [] X_1!=Y_1| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.39/11.37 0 [] X_1!=Y_1| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1)).
% 11.39/11.37 0 [] X_1=Y_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1)).
% 11.39/11.37 0 [] X_1!=Y_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)).
% 11.39/11.37 0 [] X_1!=Y_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1)).
% 11.39/11.37 0 [] X_1=Y_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)).
% 11.39/11.37 0 [] X_1!=Y_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 11.39/11.37 0 [] X_1!=Y_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)).
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))|X_1=Y_1.
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)).
% 11.39/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1!=Y_1.
% 11.39/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_22),Y_23))|X_22=Y_23|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_23),X_22)).
% 11.49/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_22),Y_23))|X_22=Y_23|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_23),X_22)).
% 11.49/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Y_23))|X_22=Y_23|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_23),X_22)).
% 11.49/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1=Y_1.
% 11.49/11.37 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1=Y_1.
% 11.49/11.37 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1=Y_1.
% 11.49/11.37 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.37 0 [] X_21=Y_22|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_21),Y_22))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_22),X_21)).
% 11.49/11.37 0 [] X_21=Y_22|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_21),Y_22))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_22),X_21)).
% 11.49/11.37 0 [] X_21=Y_22|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_22))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_22),X_21)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_20),Y_21))|X_20!=Y_21.
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_20),Y_21))|X_20!=Y_21.
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_21))|X_20!=Y_21.
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_19),Y_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_20),X_19)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_19),Y_20))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_20),X_19)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_19),Y_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_20),X_19)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Y_19))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_19),X_18)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_18),Y_19))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_19),X_18)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_19))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_19),X_18)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_17),Y_18))|X_17!=Y_18.
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_17),Y_18))|X_17!=Y_18.
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_17),Y_18))|X_17!=Y_18.
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_16),Y_17))|Y_17!=X_16.
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_16),Y_17))|Y_17!=X_16.
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_16),Y_17))|Y_17!=X_16.
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))|hBOOL(P_1).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))|hBOOL(P_1).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1))|hBOOL(P_1).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_57),B_42))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_42),A_57)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_57),B_42))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_42),A_57)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_57),B_42))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_42),A_57)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),A_56))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_56),B_41)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),A_56))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_56),B_41)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),A_56))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_56),B_41)).
% 11.49/11.37 0 [] A_55!=B_40| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_40),C_19))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_55),C_19)).
% 11.49/11.37 0 [] A_55!=B_40| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_40),C_19))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_55),C_19)).
% 11.49/11.37 0 [] A_55!=B_40| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_40),C_19))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_55),C_19)).
% 11.49/11.37 0 [] A_54!=B_39| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),B_39))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),A_54)).
% 11.49/11.37 0 [] A_54!=B_39| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),B_39))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),A_54)).
% 11.49/11.37 0 [] A_54!=B_39| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),B_39))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),A_54)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_53),B_38))|B_38!=C_17|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_53),C_17)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_53),B_38))|B_38!=C_17|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_53),C_17)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_53),B_38))|B_38!=C_17|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_53),C_17)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_37),A_52))|B_37!=C_16|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_16),A_52)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_37),A_52))|B_37!=C_16|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_16),A_52)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_37),A_52))|B_37!=C_16|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_16),A_52)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_16))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_16),Z_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Z_7)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Y_16))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_16),Z_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Z_7)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Y_16))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_16),Z_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Z_7)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_15),X_14))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),Y_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),X_14)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_15),X_14))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_6),Y_15))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_6),X_14)).
% 11.49/11.37 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_15),X_14))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_6),Y_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_6),X_14)).
% 11.49/11.37 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_13),Y_14))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_14),X_13)).
% 11.49/11.37 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_13),Y_14))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_14),X_13)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_14))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_14),X_13)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_12),Y_13))|X_12=Y_13|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_13),X_12)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_12),Y_13))|X_12=Y_13|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_13),X_12)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_12),Y_13))|X_12=Y_13|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_12)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_11),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_12),X_11)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_11),Y_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_12),X_11)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_11),Y_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_11)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_10),Y_11))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_11),X_10)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_10),Y_11))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_11),X_10)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_11),X_10)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_10),X_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),Y_10)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_10),X_9))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_9),Y_10)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_10),X_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_10)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] A_51=B_36| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_51),B_36))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_51),B_36)).
% 11.49/11.38 0 [] A_51=B_36| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_51),B_36))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_51),B_36)).
% 11.49/11.38 0 [] A_51=B_36| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_51),B_36))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_51),B_36)).
% 11.49/11.38 0 [] A_50=B_35| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_35),A_50))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_35),A_50)).
% 11.49/11.38 0 [] A_50=B_35| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_35),A_50))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_35),A_50)).
% 11.49/11.38 0 [] A_50=B_35| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_35),A_50))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_35),A_50)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_9),X_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_8),Y_9)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_9),X_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_8),Y_9)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_9),X_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_9)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f29(P_1,I_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f29(P_1,I_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f29(P_1,I_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(K_1),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f30(P_1,I_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(K_1),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f30(P_1,I_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(K_1),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f30(P_1,I_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f31(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f31(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f31(P_1,K_1,I_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_1),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f32(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_1),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f32(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_1),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f32(P_1,K_1,I_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f33(Z_5,Y_8)),Y_8))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_8),Z_5)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f33(Z_5,Y_8)),Z_5))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_8),Z_5)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_7),Y_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_7),$f34(Z_4,X_7,Y_7)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_7),Z_4)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_7),Y_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f34(Z_4,X_7,Y_7)),Y_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_7),Z_4)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_7),Y_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f34(Z_4,X_7,Y_7)),Z_4))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_7),Z_4)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f35(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f36(I_1,P_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f35(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,$f36(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f35(I_1,P_1,K_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f36(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f35(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f36(I_1,P_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f35(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,$f36(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f35(I_1,P_1,K_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f36(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f35(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f36(I_1,P_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f35(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f36(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f35(I_1,P_1,K_1)),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f36(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),$f37(X_1,P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f37(X_1,P_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(P_1,$f37(X_1,P_1)))|hBOOL(hAPP_int_bool(P_1,X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_6),A_48))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_6),A_48))| -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_5))|hAPP_int_int(plus_plus_int(U_2),V_5)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(U_2),X_6)),hAPP_int_int(times_times_int(V_5),Y_6))),A_48)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_6),A_48))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_6),A_48))| -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_5))|hAPP_real_real(plus_plus_real(U_2),V_5)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(U_2),X_6)),hAPP_real_real(times_times_real(V_5),Y_6))),A_48)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_1)),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(number267125858f_real(V_1)),one_one_real)),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_1)),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(number267125858f_real(V_1)),one_one_real)),X_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),number_number_of_int(V_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(minus_minus_real(number267125858f_real(V_1)),one_one_real))).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),number_number_of_int(V_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(minus_minus_real(number267125858f_real(V_1)),one_one_real))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 11.49/11.38 0 [] zero_zero_int!=X_1|X_1=zero_zero_int.
% 11.49/11.38 0 [] zero_zero_int=X_1|X_1!=zero_zero_int.
% 11.49/11.38 0 [] zero_zero_real!=X_1|X_1=zero_zero_real.
% 11.49/11.38 0 [] zero_zero_real=X_1|X_1!=zero_zero_real.
% 11.49/11.38 0 [] zero_zero_nat!=X_1|X_1=zero_zero_nat.
% 11.49/11.38 0 [] zero_zero_nat=X_1|X_1!=zero_zero_nat.
% 11.49/11.38 0 [] archim856651990g_real(zero_zero_real)=zero_zero_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),zero_zero_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),zero_zero_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),one_one_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),one_one_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(zero_zero_nat),A_47)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(zero_zero_real),A_47)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(zero_zero_int),A_47)=zero_zero_int.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(A_46),zero_zero_nat)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(A_46),zero_zero_real)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(A_46),zero_zero_int)=zero_zero_int.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(zero_zero_nat),A_45)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(zero_zero_real),A_45)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(zero_zero_int),A_45)=zero_zero_int.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(zero_zero_real),B_34)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(zero_zero_real),Y_5)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(A_44),zero_zero_nat)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(A_44),zero_zero_real)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(A_44),zero_zero_int)=zero_zero_int.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(A_43),zero_zero_real)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(X_5),zero_zero_real)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(Aa),Ba)!=zero_zero_real|Aa=zero_zero_real|Ba=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(Aa),Ba)=zero_zero_real|Aa!=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(Aa),Ba)=zero_zero_real|Ba!=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(Aa),Ba)!=zero_zero_int|Aa=zero_zero_int|Ba=zero_zero_int.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(Aa),Ba)=zero_zero_int|Aa!=zero_zero_int.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(Aa),Ba)=zero_zero_int|Ba!=zero_zero_int.
% 11.49/11.38 0 [] A_42=zero_zero_nat|B_33=zero_zero_nat|hAPP_nat_nat(times_times_nat(A_42),B_33)!=zero_zero_nat.
% 11.49/11.38 0 [] A_42=zero_zero_real|B_33=zero_zero_real|hAPP_real_real(times_times_real(A_42),B_33)!=zero_zero_real.
% 11.49/11.38 0 [] A_42=zero_zero_int|B_33=zero_zero_int|hAPP_int_int(times_times_int(A_42),B_33)!=zero_zero_int.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(A_41),B_32)!=zero_zero_nat|A_41=zero_zero_nat|B_32=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(A_41),B_32)!=zero_zero_real|A_41=zero_zero_real|B_32=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(times_times_int(A_41),B_32)!=zero_zero_int|A_41=zero_zero_int|B_32=zero_zero_int.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_40)=A_40.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(zero_zero_real),A_40)=A_40.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),A_40)=A_40.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(A_39),zero_zero_nat)=A_39.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(A_39),zero_zero_real)=A_39.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(A_39),zero_zero_int)=A_39.
% 11.49/11.38 0 [] Ba!=hAPP_nat_nat(plus_plus_nat(Ba),Aa)|Aa=zero_zero_nat.
% 11.49/11.38 0 [] Ba=hAPP_nat_nat(plus_plus_nat(Ba),Aa)|Aa!=zero_zero_nat.
% 11.49/11.38 0 [] Ba!=hAPP_real_real(plus_plus_real(Ba),Aa)|Aa=zero_zero_real.
% 11.49/11.38 0 [] Ba=hAPP_real_real(plus_plus_real(Ba),Aa)|Aa!=zero_zero_real.
% 11.49/11.38 0 [] Ba!=hAPP_int_int(plus_plus_int(Ba),Aa)|Aa=zero_zero_int.
% 11.49/11.38 0 [] Ba=hAPP_int_int(plus_plus_int(Ba),Aa)|Aa!=zero_zero_int.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_38)=A_38.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(zero_zero_real),A_38)=A_38.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),A_38)=A_38.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_37)=A_37.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(zero_zero_real),A_37)=A_37.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),A_37)=A_37.
% 11.49/11.38 0 [] zero_zero_real!=hAPP_real_real(plus_plus_real(Aa),Aa)|Aa=zero_zero_real.
% 11.49/11.38 0 [] zero_zero_real=hAPP_real_real(plus_plus_real(Aa),Aa)|Aa!=zero_zero_real.
% 11.49/11.38 0 [] zero_zero_int!=hAPP_int_int(plus_plus_int(Aa),Aa)|Aa=zero_zero_int.
% 11.49/11.38 0 [] zero_zero_int=hAPP_int_int(plus_plus_int(Aa),Aa)|Aa!=zero_zero_int.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(A_36),zero_zero_nat)=A_36.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(A_36),zero_zero_real)=A_36.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(A_36),zero_zero_int)=A_36.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(A_35),zero_zero_nat)=A_35.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(A_35),zero_zero_real)=A_35.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(A_35),zero_zero_int)=A_35.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(Aa),Aa)!=zero_zero_real|Aa=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(Aa),Aa)=zero_zero_real|Aa!=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(Aa),Aa)!=zero_zero_int|Aa=zero_zero_int.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(Aa),Aa)=zero_zero_int|Aa!=zero_zero_int.
% 11.49/11.38 0 [] one_one_nat!=zero_zero_nat.
% 11.49/11.38 0 [] one_one_real!=zero_zero_real.
% 11.49/11.38 0 [] one_one_int!=zero_zero_int.
% 11.49/11.38 0 [] zero_zero_nat!=one_one_nat.
% 11.49/11.38 0 [] zero_zero_real!=one_one_real.
% 11.49/11.38 0 [] zero_zero_int!=one_one_int.
% 11.49/11.38 0 [] hAPP_real_real(minus_minus_real(A_34),zero_zero_real)=A_34.
% 11.49/11.38 0 [] hAPP_int_int(minus_minus_int(A_34),zero_zero_int)=A_34.
% 11.49/11.38 0 [] hAPP_real_real(minus_minus_real(A_33),A_33)=zero_zero_real.
% 11.49/11.38 0 [] hAPP_int_int(minus_minus_int(A_33),A_33)=zero_zero_int.
% 11.49/11.38 0 [] Aa!=Ba|hAPP_real_real(minus_minus_real(Aa),Ba)=zero_zero_real.
% 11.49/11.38 0 [] Aa=Ba|hAPP_real_real(minus_minus_real(Aa),Ba)!=zero_zero_real.
% 11.49/11.38 0 [] Aa!=Ba|hAPP_int_int(minus_minus_int(Aa),Ba)=zero_zero_int.
% 11.49/11.38 0 [] Aa=Ba|hAPP_int_int(minus_minus_int(Aa),Ba)!=zero_zero_int.
% 11.49/11.38 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)!=zero_zero_real|Aa=Ba.
% 11.49/11.38 0 [] hAPP_real_real(minus_minus_real(Aa),Ba)=zero_zero_real|Aa!=Ba.
% 11.49/11.38 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)!=zero_zero_int|Aa=Ba.
% 11.49/11.38 0 [] hAPP_int_int(minus_minus_int(Aa),Ba)=zero_zero_int|Aa!=Ba.
% 11.49/11.38 0 [] zero_zero_int!=one_one_int.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),Z_1)=Z_1.
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(Z_1),zero_zero_int)=Z_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_4)),archim856651990g_real(Y_4)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_4),Y_4)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_3),X_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(Y_3)),archim856651990g_real(X_3))).
% 11.49/11.38 0 [] archim856651990g_real(one_one_real)=one_one_int.
% 11.49/11.38 0 [] archim856651990g_real(number267125858f_real(V_4))=number_number_of_int(V_4).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_32),A_32))).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_32),A_32))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Aa),Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(Aa),Ba)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_31))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_31))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_31),B_31))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_31))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_31))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_31),B_31))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_31))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_31),B_31))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_30))| -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,hAPP_nat_nat(times_times_nat(A_30),B_30)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_30))| -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,hAPP_real_real(times_times_real(A_30),B_30)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_30))| -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,hAPP_int_int(times_times_int(A_30),B_30)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_29))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_29),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(B_29),A_29)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_29))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_29),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(B_29),A_29)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_29))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_29),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(B_29),A_29)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_28),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_28))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_28),B_28)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_28),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_28))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_28),B_28)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_28),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_28))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_28),B_28)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_27),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_27),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_27),B_27))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_27),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_27),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_27),B_27))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_26),B_26))| -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_e_q_nat,hAPP_nat_nat(times_times_nat(A_26),C_15)),hAPP_nat_nat(times_times_nat(B_26),C_15))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_26),B_26))| -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_e_q_real,hAPP_real_real(times_times_real(A_26),C_15)),hAPP_real_real(times_times_real(B_26),C_15))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),B_26))| -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_e_q_int,hAPP_int_int(times_times_int(A_26),C_15)),hAPP_int_int(times_times_int(B_26),C_15))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_25),B_25))| -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_e_q_nat,hAPP_nat_nat(times_times_nat(C_14),A_25)),hAPP_nat_nat(times_times_nat(C_14),B_25))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_25),B_25))| -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_e_q_real,hAPP_real_real(times_times_real(C_14),A_25)),hAPP_real_real(times_times_real(C_14),B_25))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_25),B_25))| -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_e_q_int,hAPP_int_int(times_times_int(C_14),A_25)),hAPP_int_int(times_times_int(C_14),B_25))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_24))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(C_13),A_24)),hAPP_nat_nat(times_times_nat(C_13),B_24))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_24))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_13))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(C_13),A_24)),hAPP_real_real(times_times_real(C_13),B_24))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_24))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(C_13),A_24)),hAPP_int_int(times_times_int(C_13),B_24))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_23),A_23))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_12),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_23),C_12)),hAPP_real_real(times_times_real(B_23),C_12))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_23),A_23))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_12),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_23),C_12)),hAPP_int_int(times_times_int(B_23),C_12))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_22),A_22))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_11),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(C_11),A_22)),hAPP_real_real(times_times_real(C_11),B_22))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_22),A_22))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_11),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(C_11),A_22)),hAPP_int_int(times_times_int(C_11),B_22))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_21),B_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_10),D_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_10))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_21),C_10)),hAPP_nat_nat(times_times_nat(B_21),D_4))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_21),B_21))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_10),D_4))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_21))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_21),C_10)),hAPP_real_real(times_times_real(B_21),D_4))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_21),B_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_10),D_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_21),C_10)),hAPP_int_int(times_times_int(B_21),D_4))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_20),B_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_9),D_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_20),C_9)),hAPP_nat_nat(times_times_nat(B_20),D_3))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_20),B_20))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_9),D_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_20))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_9))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_20),C_9)),hAPP_real_real(times_times_real(B_20),D_3))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_20),B_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_9),D_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_20),C_9)),hAPP_int_int(times_times_int(B_20),D_3))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_19))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_19))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_19),B_19))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_19),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_19),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(times_times_real(A_19),B_19))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_19))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_19))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_19),B_19))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(times_times_int(A_19),B_19))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_18))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_18),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_18),B_18)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_18),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_18))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A_18),B_18)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_18))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_18),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_18),B_18)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_18),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_18))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(A_18),B_18)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_18))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_18),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_18),B_18)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_18),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_18))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(A_18),B_18)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_17),A_17)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_17),A_17)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),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)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),C_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),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,Aa),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Aa),C_1)),hAPP_real_real(times_times_real(Ba),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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),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)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),C_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),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,Aa),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(Aa),C_1)),hAPP_int_int(times_times_int(Ba),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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))|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)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))|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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))| -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,Aa),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))| -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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))|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)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))|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,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))| -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,Aa),Ba)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))| -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,Ba),Aa)).
% 11.49/11.38 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_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 11.49/11.38 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_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 11.49/11.38 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_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 11.49/11.38 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_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_16))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_17))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_16),B_17))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_16))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_17))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_16),B_17))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_16))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_17))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_16),B_17))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_15))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_16),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_15),B_16)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_15))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_16),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_15),B_16)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_15))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_16),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_15),B_16)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_14))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_15),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(B_15),A_14)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_14))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_15),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B_15),A_14)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_14))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_15),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B_15),A_14)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_13),B_14)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_14)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_13),B_14)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_13))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_14)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_13),B_14)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_14)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(B_13),A_12)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_13)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(B_13),A_12)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_13)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(B_13),A_12)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13)).
% 11.49/11.38 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_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 11.49/11.38 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_real,hAPP_real_real(times_times_real(C_1),Aa)),hAPP_real_real(times_times_real(C_1),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 11.49/11.38 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_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 11.49/11.38 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_int,hAPP_int_int(times_times_int(C_1),Aa)),hAPP_int_int(times_times_int(C_1),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_11),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_11),B_12)),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_11),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_11),B_12)),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_11),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_11),B_12)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_10),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_11),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_10),B_11))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_10),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_11),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_10),B_11))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_9),B_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_9),C_8)),hAPP_nat_nat(times_times_nat(B_10),C_8))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_9),B_10))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_8))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_9),C_8)),hAPP_real_real(times_times_real(B_10),C_8))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_9),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_8))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_9),C_8)),hAPP_int_int(times_times_int(B_10),C_8))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_9))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C_7),A_8)),hAPP_nat_nat(times_times_nat(C_7),B_9))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_8),B_9))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_7),A_8)),hAPP_real_real(times_times_real(C_7),B_9))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_8),B_9))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_7),A_8)),hAPP_int_int(times_times_int(C_7),B_9))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_7),B_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C_6),A_7)),hAPP_nat_nat(times_times_nat(C_6),B_8))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_7),B_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_6))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_6),A_7)),hAPP_real_real(times_times_real(C_6),B_8))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_7),B_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_6),A_7)),hAPP_int_int(times_times_int(C_6),B_8))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_7),A_6))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_5),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_6),C_5)),hAPP_real_real(times_times_real(B_7),C_5))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_7),A_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_5),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_6),C_5)),hAPP_int_int(times_times_int(B_7),C_5))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_6),A_5))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_4),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_4),A_5)),hAPP_real_real(times_times_real(C_4),B_6))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_6),A_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_4),A_5)),hAPP_int_int(times_times_int(C_4),B_6))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(Aa),Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(Aa),Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(Aa),Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(Aa),Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Aa),Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Aa),Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Aa),Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Aa),Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_4),B_5))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_4))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_5))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_4),B_5))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_4),B_5))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_1))|hAPP_nat_nat(plus_plus_nat(X_1),Y_1)!=zero_zero_nat|X_1=zero_zero_nat.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_1))|hAPP_nat_nat(plus_plus_nat(X_1),Y_1)!=zero_zero_nat|Y_1=zero_zero_nat.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_1))|hAPP_nat_nat(plus_plus_nat(X_1),Y_1)=zero_zero_nat|X_1!=zero_zero_nat|Y_1!=zero_zero_nat.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))|hAPP_real_real(plus_plus_real(X_1),Y_1)!=zero_zero_real|X_1=zero_zero_real.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))|hAPP_real_real(plus_plus_real(X_1),Y_1)!=zero_zero_real|Y_1=zero_zero_real.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))|hAPP_real_real(plus_plus_real(X_1),Y_1)=zero_zero_real|X_1!=zero_zero_real|Y_1!=zero_zero_real.
% 11.49/11.38 0 [] -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_e_q_int,zero_zero_int),Y_1))|hAPP_int_int(plus_plus_int(X_1),Y_1)!=zero_zero_int|X_1=zero_zero_int.
% 11.49/11.38 0 [] -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_e_q_int,zero_zero_int),Y_1))|hAPP_int_int(plus_plus_int(X_1),Y_1)!=zero_zero_int|Y_1=zero_zero_int.
% 11.49/11.38 0 [] -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_e_q_int,zero_zero_int),Y_1))|hAPP_int_int(plus_plus_int(X_1),Y_1)=zero_zero_int|X_1!=zero_zero_int|Y_1!=zero_zero_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_4),C_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_4),hAPP_nat_nat(plus_plus_nat(A_3),C_3))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),C_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),hAPP_real_real(plus_plus_real(A_3),C_3))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),C_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),hAPP_int_int(plus_plus_int(A_3),C_3))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_3),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_3),hAPP_nat_nat(plus_plus_nat(A_2),C_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),A_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),hAPP_real_real(plus_plus_real(A_2),C_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),hAPP_int_int(plus_plus_int(A_2),C_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_2),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_1),B_2)),zero_zero_nat)).
% 11.49/11.38 0 [] -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_2),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_1),B_2)),zero_zero_real)).
% 11.49/11.38 0 [] -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_2),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_1),B_2)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(Aa),Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(Aa),Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(Aa),Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(Aa),Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 11.49/11.38 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),A))|X=hAPP_int_int(minus_minus_int(A),one_one_int)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),hAPP_int_int(minus_minus_int(A),one_one_int))).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(K),I)),hAPP_int_int(times_times_int(K),J))).
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_1)),Z_1)!=zero_zero_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(K_1),L)),zero_zero_int)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(K_1),L)),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hAPP_int_int(times_times_int(M_1),N_2)!=one_one_int|M_1=one_one_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hAPP_int_int(times_times_int(M_1),N_2)!=one_one_int|N_2=one_one_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hAPP_int_int(times_times_int(M_1),N_2)=one_one_int|M_1!=one_one_int|N_2!=one_one_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z)),Z)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),zero_zero_int)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z)),Z)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),zero_zero_int)).
% 11.49/11.38 0 [] -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_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),Z_1))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|A!=hAPP_int_int(plus_plus_int(R),hAPP_int_int(times_times_int(A),Q))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),one_one_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|A!=hAPP_int_int(plus_plus_int(R),hAPP_int_int(times_times_int(A),Q))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q)).
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),B))| -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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)).
% 11.49/11.38 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_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,zero_zero_int),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)))| -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,R_1),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)),zero_zero_int))| -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_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),zero_zero_int)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_1)),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|xzgcd(M,N_1)!=produc282740534nt_int(R,product_Pair_int_int(S,T))|R=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(S),M)),hAPP_int_int(times_times_int(T),N_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R))|xzgcda(M,N_1,R_1,R,S_1,S,T_1,T)!=produc282740534nt_int(Rn,product_Pair_int_int(Sn,Tn))|R_1!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(S_1),M)),hAPP_int_int(times_times_int(T_1),N_1))|R!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(S),M)),hAPP_int_int(times_times_int(T),N_1))|Rn=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Sn),M)),hAPP_int_int(times_times_int(Tn),N_1)).
% 11.49/11.38 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),hAPP_int_int(plus_plus_int(X),Y))).
% 11.49/11.38 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),hAPP_int_int(times_times_int(X),Y))).
% 11.49/11.38 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),hAPP_int_int(times_times_int(A),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 11.49/11.38 0 [] xzgcd(M,N_1)=xzgcda(M,N_1,M,N_1,one_one_int,zero_zero_int,zero_zero_int,one_one_int).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P_1,$f38(K_1,P_1,D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(X_2),hAPP_int_int(times_times_int(K_1),D_2)))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int($f38(K_1,P_1,D_2)),D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(X_2),hAPP_int_int(times_times_int(K_1),D_2)))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P_1,$f39(K_1,P_1,D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(X_2),hAPP_int_int(times_times_int(K_1),D_2)))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f39(K_1,P_1,D_2)),D_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(X_2),hAPP_int_int(times_times_int(K_1),D_2)))).
% 11.49/11.38 0 [] A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)|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),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R))).
% 11.49/11.38 0 [] A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R))).
% 11.49/11.38 0 [] A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q)),R)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|nat_tsub(X,Y)=hAPP_int_int(minus_minus_int(X),Y).
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|nat_tsub(X,Y)=zero_zero_int.
% 11.49/11.38 0 [] B=zero_zero_int|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(zero_zero_int,B),product_Pair_int_int(zero_zero_int,zero_zero_int))).
% 11.49/11.38 0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(Q,R)))|A=zero_zero_int|R=zero_zero_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q_1,R_1)))|B=zero_zero_int|Q=Q_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q,R)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(Q_1,R_1)))|B=zero_zero_int|R=R_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(Q,R)))|A=zero_zero_int|Q=one_one_int.
% 11.49/11.38 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),nat_tsub(X,Y))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|nat_tsub(X,Y)=hAPP_int_int(minus_minus_int(X),Y).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P1,$f41(P_1,P1,D_2)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int($f41(P_1,P1,D_2)),hAPP_int_int(times_times_int($f40(P_1,P1,D_2)),D_2))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f42(P_1,P1,D_2,Z_3)),Z_3))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f43(P_1,P1,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P1,$f41(P_1,P1,D_2)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int($f41(P_1,P1,D_2)),hAPP_int_int(times_times_int($f40(P_1,P1,D_2)),D_2))))|hBOOL(hAPP_int_bool(P_1,$f42(P_1,P1,D_2,Z_3)))|hBOOL(hAPP_int_bool(P1,$f42(P_1,P1,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f43(P_1,P1,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P1,$f41(P_1,P1,D_2)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int($f41(P_1,P1,D_2)),hAPP_int_int(times_times_int($f40(P_1,P1,D_2)),D_2))))| -hBOOL(hAPP_int_bool(P_1,$f42(P_1,P1,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P1,$f42(P_1,P1,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f43(P_1,P1,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P1,$f41(P_1,P1,D_2)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int($f41(P_1,P1,D_2)),hAPP_int_int(times_times_int($f40(P_1,P1,D_2)),D_2))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f42(P_1,P1,D_2,Z_3)),Z_3))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f43(P_1,P1,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P1,$f41(P_1,P1,D_2)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int($f41(P_1,P1,D_2)),hAPP_int_int(times_times_int($f40(P_1,P1,D_2)),D_2))))|hBOOL(hAPP_int_bool(P_1,$f42(P_1,P1,D_2,Z_3)))|hBOOL(hAPP_int_bool(P1,$f42(P_1,P1,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f43(P_1,P1,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P1,$f41(P_1,P1,D_2)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(minus_minus_int($f41(P_1,P1,D_2)),hAPP_int_int(times_times_int($f40(P_1,P1,D_2)),D_2))))| -hBOOL(hAPP_int_bool(P_1,$f42(P_1,P1,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P1,$f42(P_1,P1,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f43(P_1,P1,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P_2,$f45(P_1,P_2,D_2)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int($f45(P_1,P_2,D_2)),hAPP_int_int(times_times_int($f44(P_1,P_2,D_2)),D_2))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f47(P_1,P_2,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P_2,$f45(P_1,P_2,D_2)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int($f45(P_1,P_2,D_2)),hAPP_int_int(times_times_int($f44(P_1,P_2,D_2)),D_2))))|hBOOL(hAPP_int_bool(P_1,$f46(P_1,P_2,D_2,Z_3)))|hBOOL(hAPP_int_bool(P_2,$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f47(P_1,P_2,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))|hBOOL(hAPP_int_bool(P_2,$f45(P_1,P_2,D_2)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int($f45(P_1,P_2,D_2)),hAPP_int_int(times_times_int($f44(P_1,P_2,D_2)),D_2))))| -hBOOL(hAPP_int_bool(P_1,$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f47(P_1,P_2,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P_2,$f45(P_1,P_2,D_2)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int($f45(P_1,P_2,D_2)),hAPP_int_int(times_times_int($f44(P_1,P_2,D_2)),D_2))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f47(P_1,P_2,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P_2,$f45(P_1,P_2,D_2)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int($f45(P_1,P_2,D_2)),hAPP_int_int(times_times_int($f44(P_1,P_2,D_2)),D_2))))|hBOOL(hAPP_int_bool(P_1,$f46(P_1,P_2,D_2,Z_3)))|hBOOL(hAPP_int_bool(P_2,$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f47(P_1,P_2,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_2))| -hBOOL(hAPP_int_bool(P_2,$f45(P_1,P_2,D_2)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int($f45(P_1,P_2,D_2)),hAPP_int_int(times_times_int($f44(P_1,P_2,D_2)),D_2))))| -hBOOL(hAPP_int_bool(P_1,$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,$f46(P_1,P_2,D_2,Z_3)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f47(P_1,P_2,D_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))|zfact(N_1)=one_one_int.
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))|zfact(N_1)=hAPP_int_int(times_times_int(N_1),zfact(hAPP_int_int(minus_minus_int(N_1),one_one_int))).
% 11.49/11.38 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_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(archim1246769320r_real(A)),archim1246769320r_real(B))),archim1246769320r_real(hAPP_real_real(times_times_real(A),B)))).
% 11.49/11.38 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_int,zero_zero_int),B))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),posDivAlg(A,B))).
% 11.49/11.38 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_1),hAPP_int_int(plus_plus_int(X),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(abs_abs_int(hAPP_int_int(minus_minus_int(X),Z_1))),one_one_int)),D_1)))).
% 11.49/11.38 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,hAPP_int_int(minus_minus_int(X),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(abs_abs_int(hAPP_int_int(minus_minus_int(X),Z_1))),one_one_int)),D_1))),Z_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_1),W_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),W_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_1),Z_1)).
% 11.49/11.38 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,hAPP_real_real(plus_plus_real(Z_1),X)),hAPP_real_real(plus_plus_real(Z_1),Y))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I),J))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J),K))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I),K)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),W_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_1),Z_1))|Z_1=W_1.
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(Z1),Z2)),W_1)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Z1),W_1)),hAPP_real_real(times_times_real(Z2),W_1)).
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Z1),Z2)),Z3)=hAPP_real_real(times_times_real(Z1),hAPP_real_real(times_times_real(Z2),Z3)).
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(Z_1),W_1)=hAPP_real_real(times_times_real(W_1),Z_1).
% 11.49/11.38 0 [] hAPP_real_real(times_times_real(one_one_real),Z_1)=Z_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))|X_1!=Y_1.
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|X_1=Y_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(X_1),Y_1)),zero_zero_real)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(X_1),Y_1)),zero_zero_real)).
% 11.49/11.38 0 [] C_1=zero_zero_real|hAPP_real_real(times_times_real(C_1),Aa)!=hAPP_real_real(times_times_real(C_1),Ba)|Aa=Ba.
% 11.49/11.38 0 [] C_1=zero_zero_real|hAPP_real_real(times_times_real(C_1),Aa)=hAPP_real_real(times_times_real(C_1),Ba)|Aa!=Ba.
% 11.49/11.38 0 [] C_1=zero_zero_real|hAPP_real_real(times_times_real(Aa),C_1)!=hAPP_real_real(times_times_real(Ba),C_1)|Aa=Ba.
% 11.49/11.38 0 [] C_1=zero_zero_real|hAPP_real_real(times_times_real(Aa),C_1)=hAPP_real_real(times_times_real(Ba),C_1)|Aa!=Ba.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_1),X_1)),hAPP_real_real(times_times_real(Y_1),Y_1))!=zero_zero_real|X_1=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_1),X_1)),hAPP_real_real(times_times_real(Y_1),Y_1))!=zero_zero_real|Y_1=zero_zero_real.
% 11.49/11.38 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_1),X_1)),hAPP_real_real(times_times_real(Y_1),Y_1))=zero_zero_real|X_1!=zero_zero_real|Y_1!=zero_zero_real.
% 11.49/11.38 0 [] zero_zero_real!=one_one_real.
% 11.49/11.38 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,hAPP_real_real(times_times_real(X_1),Z)),hAPP_real_real(times_times_real(Y_1),Z)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)).
% 11.49/11.38 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,hAPP_real_real(times_times_real(X_1),Z)),hAPP_real_real(times_times_real(Y_1),Z)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)).
% 11.49/11.38 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),hAPP_real_real(times_times_real(X),Y))).
% 11.49/11.38 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,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Z_1),X)),hAPP_real_real(times_times_real(Z_1),Y))).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Z),X_1)),hAPP_real_real(times_times_real(Z),Y_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(Z),X_1)),hAPP_real_real(times_times_real(Z),Y_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(X_1),Z)),hAPP_real_real(times_times_real(Y_1),Z)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(times_times_real(X_1),Z)),hAPP_real_real(times_times_real(Y_1),Z)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1)).
% 11.49/11.38 0 [] abs_abs_int(hAPP_int_int(times_times_int(M),N_1))!=one_one_int|abs_abs_int(M)=one_one_int.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z)),one_one_int))|Z=zero_zero_int.
% 11.49/11.38 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z)),one_one_int))|Z!=zero_zero_int.
% 11.49/11.38 0 [] posDivAlg(zero_zero_int,B)=product_Pair_int_int(zero_zero_int,zero_zero_int).
% 11.49/11.38 0 [] L_1!=zero_zero_int|pdivmod(K,L_1)=product_Pair_int_int(zero_zero_int,abs_abs_int(K)).
% 11.49/11.38 0 [] L_1=zero_zero_int|pdivmod(K,L_1)=posDivAlg(abs_abs_int(K),abs_abs_int(L_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),$f48(K_1,F,N_2,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),$f49(K_1,F,N_2,M_1))).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),$f48(K_1,F,N_2,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f49(K_1,F,N_2,M_1)),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),$f48(K_1,F,N_2,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f49(K_1,F,N_2,M_1))=K_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f48(K_1,F,N_2,M_1)),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),$f49(K_1,F,N_2,M_1))).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f48(K_1,F,N_2,M_1)),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f49(K_1,F,N_2,M_1)),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f48(K_1,F,N_2,M_1)),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f49(K_1,F,N_2,M_1))=K_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f48(K_1,F,N_2,M_1)),one_one_nat))),hAPP_nat_int(F,$f48(K_1,F,N_2,M_1))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),$f49(K_1,F,N_2,M_1))).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f48(K_1,F,N_2,M_1)),one_one_nat))),hAPP_nat_int(F,$f48(K_1,F,N_2,M_1))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f49(K_1,F,N_2,M_1)),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f48(K_1,F,N_2,M_1)),one_one_nat))),hAPP_nat_int(F,$f48(K_1,F,N_2,M_1))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M_1)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f49(K_1,F,N_2,M_1))=K_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f50(K_1,F,N_2)),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f51(K_1,F,N_2)),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f50(K_1,F,N_2)),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f51(K_1,F,N_2))=K_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f50(K_1,F,N_2)),one_one_nat))),hAPP_nat_int(F,$f50(K_1,F,N_2))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f51(K_1,F,N_2)),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f50(K_1,F,N_2)),one_one_nat))),hAPP_nat_int(F,$f50(K_1,F,N_2))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f51(K_1,F,N_2))=K_1.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f52(K_1,F,N_2)),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f53(K_1,F,N_2)),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f52(K_1,F,N_2)),N_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f53(K_1,F,N_2))=K_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f52(K_1,F,N_2)),one_one_nat))),hAPP_nat_int(F,$f52(K_1,F,N_2))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f53(K_1,F,N_2)),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(F,hAPP_nat_nat(plus_plus_nat($f52(K_1,F,N_2)),one_one_nat))),hAPP_nat_int(F,$f52(K_1,F,N_2))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_2)))|hAPP_nat_int(F,$f53(K_1,F,N_2))=K_1.
% 11.49/11.38 0 [] M!=zero_zero_nat|hAPP_nat_nat(times_times_nat(M),N_1)=zero_zero_nat.
% 11.49/11.38 0 [] M=zero_zero_nat|hAPP_nat_nat(times_times_nat(M),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(abs_abs_real(X)),one_one_real)),X)).
% 11.49/11.38 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(one_one_real),abs_abs_real(X)))).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 11.49/11.38 0 [] X!=Y| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(U_1)),V))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(X),U_1)),Y))),V)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K),hAPP_nat_nat(minus_minus_nat(M),N_1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(K),M)),hAPP_nat_nat(times_times_nat(K),N_1)).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),K)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(M),K)),hAPP_nat_nat(times_times_nat(N_1),K)).
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J)),K)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),K)),J).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M),N_1)=hAPP_nat_nat(times_times_nat(N_1),M).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(M),N_1)),K)=hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(times_times_nat(N_1),K)).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(zero_zero_nat),N_1)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M),zero_zero_nat)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)!=zero_zero_nat|M_1=zero_zero_nat|N_2=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)=zero_zero_nat|M_1!=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)=zero_zero_nat|N_2!=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K_1),M_1)!=hAPP_nat_nat(times_times_nat(K_1),N_2)|K_1=zero_zero_nat|M_1=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)|K_1!=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)|M_1!=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K_1),M_1)!=hAPP_nat_nat(times_times_nat(K_1),N_2)|M_1=N_2|K_1=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)|M_1!=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)|K_1!=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),K_1)!=hAPP_nat_nat(times_times_nat(N_2),K_1)|M_1=N_2|K_1=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),K_1)=hAPP_nat_nat(times_times_nat(N_2),K_1)|M_1!=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),K_1)=hAPP_nat_nat(times_times_nat(N_2),K_1)|K_1!=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(M),N_1)!=zero_zero_nat|hAPP_nat_nat(minus_minus_nat(N_1),M)!=zero_zero_nat|M=N_1.
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(M),M)=zero_zero_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(M),zero_zero_nat)=M.
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(zero_zero_nat),N_1)=zero_zero_nat.
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|M_1=N_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),M_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))|S!=T.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M))|M!=N_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)).
% 11.49/11.38 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)).
% 11.49/11.38 0 [] M_1=N_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1)).
% 11.49/11.38 0 [] M_1!=N_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.38 0 [] M_1!=N_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(L_1),N_1)),hAPP_nat_nat(minus_minus_nat(L_1),M))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(J),N_1)),K)).
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),N_1)=M.
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N_1),M)),N_1)=M.
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J)),K)=hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(plus_plus_nat(J),K)).
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(K),M)),hAPP_nat_nat(plus_plus_nat(K),N_1))=hAPP_nat_nat(minus_minus_nat(M),N_1).
% 11.49/11.38 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(plus_plus_nat(N_1),K))=hAPP_nat_nat(minus_minus_nat(M),N_1).
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(M_1),K_1)!=hAPP_nat_nat(plus_plus_nat(N_2),K_1)|M_1=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(M_1),K_1)=hAPP_nat_nat(plus_plus_nat(N_2),K_1)|M_1!=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(K_1),M_1)!=hAPP_nat_nat(plus_plus_nat(K_1),N_2)|M_1=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(K_1),M_1)=hAPP_nat_nat(plus_plus_nat(K_1),N_2)|M_1!=N_2.
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),K)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(plus_plus_nat(N_1),K)).
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z_1))=hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z_1)).
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(M),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),M).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(K),hAPP_nat_nat(plus_plus_nat(M),N_1))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(K),M)),hAPP_nat_nat(times_times_nat(K),N_1)).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),K)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(M),K)),hAPP_nat_nat(times_times_nat(N_1),K)).
% 11.49/11.38 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I),U_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J),U_1)),K))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(I),J)),U_1)),K).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),M)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(L_1),N_1)),hAPP_nat_nat(minus_minus_nat(L_1),M))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),L_1)),hAPP_nat_nat(minus_minus_nat(N_1),L_1))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N_1))|hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(minus_minus_nat(N_1),I))=I.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))|hAPP_nat_nat(minus_minus_nat(M_1),K_1)!=hAPP_nat_nat(minus_minus_nat(N_2),K_1)|M_1=N_2.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))|hAPP_nat_nat(minus_minus_nat(M_1),K_1)=hAPP_nat_nat(minus_minus_nat(N_2),K_1)|M_1!=N_2.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),K)),hAPP_nat_nat(minus_minus_nat(N_1),K))=hAPP_nat_nat(minus_minus_nat(M),N_1).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_1)),hAPP_nat_nat(minus_minus_nat(N_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_1)),hAPP_nat_nat(minus_minus_nat(N_2),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M)).
% 11.49/11.38 0 [] M!=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))|M=N_1.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(I),K)),hAPP_nat_nat(times_times_nat(J),L_1))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K),I)),hAPP_nat_nat(times_times_nat(K),J))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(I),K)),hAPP_nat_nat(times_times_nat(J),K))).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(times_times_nat(M),M)))).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(times_times_nat(M),M))).
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(one_one_nat),N_1)=N_1.
% 11.49/11.38 0 [] one_one_nat!=hAPP_nat_nat(times_times_nat(M_1),N_2)|M_1=one_one_nat.
% 11.49/11.38 0 [] one_one_nat!=hAPP_nat_nat(times_times_nat(M_1),N_2)|N_2=one_one_nat.
% 11.49/11.38 0 [] one_one_nat=hAPP_nat_nat(times_times_nat(M_1),N_2)|M_1!=one_one_nat|N_2!=one_one_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(N_1),one_one_nat)=N_1.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)!=one_one_nat|M_1=one_one_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)!=one_one_nat|N_2=one_one_nat.
% 11.49/11.38 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)=one_one_nat|M_1!=one_one_nat|N_2!=one_one_nat.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(N_2),M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(N_2),M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),M)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 11.49/11.38 0 [] N_2=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.38 0 [] N_2!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|N_1!=zero_zero_nat.
% 11.49/11.38 0 [] N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K),I)),hAPP_nat_nat(times_times_nat(K),J))).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(I),K)),hAPP_nat_nat(times_times_nat(J),K))).
% 11.49/11.38 0 [] -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,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.38 0 [] -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,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hAPP_nat_nat(times_times_nat(K_1),M_1)!=hAPP_nat_nat(times_times_nat(K_1),N_2)|M_1=N_2.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hAPP_nat_nat(times_times_nat(K_1),M_1)=hAPP_nat_nat(times_times_nat(K_1),N_2)|M_1!=N_2.
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.38 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_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,M_1),N_2)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 11.49/11.38 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))| -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,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(M_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(M_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(M_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),N_1)=N_1.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M),zero_zero_nat)=M.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)!=zero_zero_nat|M_1=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)!=zero_zero_nat|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)=zero_zero_nat|M_1!=zero_zero_nat|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M),N_1)!=M|N_1=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(plus_plus_nat(N_1),M))=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(M_1),N_2)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(M_1),N_2)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hAPP_nat_nat(minus_minus_nat(M),N_1)=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),zero_zero_nat))|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),zero_zero_nat))|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J)),I)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J),I)),I)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_1),M_1)),hAPP_nat_nat(plus_plus_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_1),M_1)),hAPP_nat_nat(plus_plus_nat(K_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(J),M))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(M),J))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),K))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),L_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L_1))|hAPP_nat_nat(plus_plus_nat(M),L_1)!=hAPP_nat_nat(plus_plus_nat(K),N_1)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(minus_minus_nat(M),N_1))=M.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_2),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_2)).
% 11.49/11.39 0 [] M!=hAPP_nat_nat(times_times_nat(M),N_1)|N_1=one_one_nat|M=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.39 0 [] M!=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|M=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|M_1=N_2.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|M_1!=N_2.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|M_1!=N_2.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|M_1=N_2.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_1)),hAPP_nat_nat(minus_minus_nat(N_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_1)),hAPP_nat_nat(minus_minus_nat(N_2),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 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,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(minus_minus_nat(J),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),K)),J).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(J_2),K_1)),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),hAPP_nat_nat(plus_plus_nat(I_1),K_1))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(J_2),K_1)),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),hAPP_nat_nat(plus_plus_nat(I_1),K_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N_1),M)),K))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))|hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(minus_minus_nat(M),N_1))=M.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J)),K).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_2),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),N_1)=M.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hAPP_nat_nat(minus_minus_nat(J_2),I_1)!=K_1|J_2=hAPP_nat_nat(plus_plus_nat(K_1),I_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hAPP_nat_nat(minus_minus_nat(J_2),I_1)=K_1|J_2!=hAPP_nat_nat(plus_plus_nat(K_1),I_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J)),K)=hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J),K)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J),K)),I)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J),I)),K).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J),I)),K)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J),K)),I).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)|M_1=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)|M_1!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I),U_1)),M)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J),U_1)),N_1))=hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J),I)),U_1)),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_1)),U)),N_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)=N_2.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)!=N_2.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I),U_1)),M)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J),U_1)),N_1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I),J)),U_1)),M)),N_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),L_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J),K))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(M),J))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(J),M))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_1),M_1)),hAPP_nat_nat(plus_plus_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_1),M_1)),hAPP_nat_nat(plus_plus_nat(K_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|N_2=hAPP_nat_nat(plus_plus_nat(M_1),$f54(M_1,N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|N_2!=hAPP_nat_nat(plus_plus_nat(M_1),K_2).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(N_1),M))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(M),N_1))).
% 11.49/11.39 0 [] X_1!=hAPP_real_real(minus_minus_real(Y_1),Z)|Y_1=hAPP_real_real(plus_plus_real(X_1),Z).
% 11.49/11.39 0 [] X_1=hAPP_real_real(minus_minus_real(Y_1),Z)|Y_1!=hAPP_real_real(plus_plus_real(X_1),Z).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))|Aa!=hAPP_nat_nat(plus_plus_nat(Ba),D)|hBOOL(hAPP_nat_bool(P_1,D)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|Aa=hAPP_nat_nat(plus_plus_nat(Ba),$f55(P_1,Aa,Ba)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(P_1,$f55(P_1,Aa,Ba))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|Aa=hAPP_nat_nat(plus_plus_nat(Ba),$f55(P_1,Aa,Ba)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f55(P_1,Aa,Ba))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))|Aa!=hAPP_nat_nat(plus_plus_nat(Ba),D)|hBOOL(hAPP_nat_bool(P_1,D)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|Aa=hAPP_nat_nat(plus_plus_nat(Ba),$f56(P_1,Aa,Ba)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(P_1,$f56(P_1,Aa,Ba))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|Aa=hAPP_nat_nat(plus_plus_nat(Ba),$f56(P_1,Aa,Ba)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(minus_minus_nat(Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f56(P_1,Aa,Ba))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(M_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(M_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(M_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_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_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(M_1),K_1)),hAPP_nat_nat(times_times_nat(N_2),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(K_1),M_1)),hAPP_nat_nat(times_times_nat(K_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U)),M_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_2)),U)),M_1)),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f57(N_2,P_1)),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),$f57(N_2,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_2))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(plus_plus_nat($f57(N_2,P_1)),one_one_nat))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(X)),hAPP_real_real(times_times_real(C),abs_abs_real(Y))))|X=zero_zero_real.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f59(M_1,K_1,F)),$f58(M_1,K_1,F)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_1)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f59(M_1,K_1,F))),hAPP_nat_nat(F,$f58(M_1,K_1,F))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_1)))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f60(N_2,P_1)),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),$f60(N_2,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_2))|hBOOL(hAPP_nat_bool(P_1,$f60(N_2,P_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))|L=hAPP_nat_nat(plus_plus_nat(K_1),$f61(K_1,L)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))|L!=hAPP_nat_nat(plus_plus_nat(K_1),N).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f62(I,J))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hAPP_nat_nat(plus_plus_nat(I),$f62(I,J))=J.
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X_1),X_1)))|X_1=zero_zero_real.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X_1),X_1)))|X_1!=zero_zero_real.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hAPP_nat_nat(times_times_nat(K),N_1)!=hAPP_nat_nat(times_times_nat(K),M)|N_1=M.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f63(B,A,X))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(X),Y_2))),$f63(B,A,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),Y_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(X),Y_2))),$f63(B,A,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),B)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L_1))|L_1=hAPP_nat_nat(plus_plus_nat(K),$f64(K,L_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f66(I_1,J_2,F)),$f65(I_1,J_2,F)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f66(I_1,J_2,F))),hAPP_nat_nat(F,$f65(I_1,J_2,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f67(B,A,X))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(X),Y_2))),$f67(B,A,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),Y_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(X),Y_2))),$f67(B,A,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),B)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f68(D2,D1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f68(D2,D1)),D1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f68(D2,D1)),D2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natceiling(hAPP_real_real(plus_plus_real(X),one_one_real))=hAPP_nat_nat(plus_plus_nat(natceiling(X)),one_one_nat).
% 11.49/11.39 0 [] natceiling(number267125858f_real(N_1))=number_number_of_nat(N_1).
% 11.49/11.39 0 [] natceiling(zero_zero_real)=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natceiling(X))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),natceiling(Y))).
% 11.49/11.39 0 [] natceiling(one_one_real)=one_one_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))|natceiling(X)=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),one_one_nat))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),one_one_nat))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natfloor(hAPP_real_real(plus_plus_real(X),one_one_real))=hAPP_nat_nat(plus_plus_nat(natfloor(X)),one_one_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(N_2),M_1)!=one_one_nat|N_2=one_one_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(N_2),M_1)!=one_one_nat|M_1=one_one_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(N_2),M_1)=one_one_nat|N_2!=one_one_nat|M_1!=one_one_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_1)),one_one_real)))|natceiling(X)=hAPP_nat_nat(plus_plus_nat(N_1),one_one_nat).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,N_1))).
% 11.49/11.39 0 [] natceiling(hAPP_nat_real(real_nat,N_1))=N_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_2)),hAPP_nat_real(real_nat,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_2)),hAPP_nat_real(real_nat,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1)).
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,zero_zero_nat)=zero_zero_real.
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,N_2)!=zero_zero_real|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,N_2)=zero_zero_real|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] abs_abs_real(hAPP_nat_real(real_nat,X))=hAPP_nat_real(real_nat,X).
% 11.49/11.39 0 [] natfloor(hAPP_nat_real(real_nat,N_1))=N_1.
% 11.49/11.39 0 [] hBOOL(member_real(hAPP_nat_real(real_nat,N_2),ring_1_Ints_real)).
% 11.49/11.39 0 [] natfloor(number267125858f_real(N_1))=number_number_of_nat(N_1).
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,N_2)!=hAPP_nat_real(real_nat,M_1)|N_2=M_1.
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,N_2)=hAPP_nat_real(real_nat,M_1)|N_2!=M_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,natfloor(X))),X)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,X)),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),natfloor(A))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(X),one_one_real)),hAPP_nat_real(real_nat,natfloor(X)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),X))|natfloor(hAPP_real_real(minus_minus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(minus_minus_nat(natfloor(X)),A).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,natfloor(X))),one_one_real))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),natfloor(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Aa)),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),natfloor(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Aa)),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),zero_zero_real)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),hAPP_nat_real(real_nat,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),hAPP_nat_real(real_nat,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(X)),N_1)).
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(times_times_nat(M),N_1))=hAPP_real_real(times_times_real(hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natfloor(hAPP_real_real(plus_plus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(plus_plus_nat(natfloor(X)),A).
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(plus_plus_nat(M),N_1))=hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(natfloor(Z_1)),one_one_nat)),N_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_1),hAPP_nat_real(real_nat,N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_1)),one_one_real)))|natfloor(X)=N_1.
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,one_one_nat)=one_one_real.
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,natceiling(X)))).
% 11.49/11.39 0 [] natfloor(zero_zero_real)=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natfloor(X))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natfloor(X)),natfloor(Y))).
% 11.49/11.39 0 [] natfloor(one_one_real)=one_one_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),zero_zero_real))|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),zero_zero_real))|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))|hAPP_nat_real(real_nat,hAPP_nat_nat(minus_minus_nat(M),N_1))=hAPP_real_real(minus_minus_real(hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),A)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))|natfloor(X)=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_2)),one_one_real)),hAPP_nat_real(real_nat,M_1))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_2)),one_one_real)),hAPP_nat_real(real_nat,M_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,M_1)),one_one_real))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,M_1)),one_one_real))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,Aa))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,Aa))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),X))|natceiling(hAPP_real_real(minus_minus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(minus_minus_nat(natceiling(X)),A).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natceiling(hAPP_real_real(plus_plus_real(X),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(plus_plus_nat(natceiling(X)),A).
% 11.49/11.39 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_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(natfloor(A)),natfloor(B))),natfloor(hAPP_real_real(times_times_real(A),B)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,hAPP_nat_nat(minus_minus_nat($f69(R)),one_one_nat))),R)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_nat_real(real_nat,$f69(R)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(times_times_real(hAPP_nat_real(real_nat,$f70(X,Y_2))),X))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natceiling(hAPP_real_real(plus_plus_real(X),number267125858f_real(N_1)))=hAPP_nat_nat(plus_plus_nat(natceiling(X)),number_number_of_nat(N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,Z_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,Z_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|number_number_of_nat(V)=zero_zero_nat.
% 11.49/11.39 0 [] number_number_of_nat(V_1)!=number_number_of_nat(V_3)| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_3)),zero_zero_int)).
% 11.49/11.39 0 [] number_number_of_nat(V_1)!=number_number_of_nat(V_3)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|number_number_of_int(V_1)=zero_zero_int.
% 11.49/11.39 0 [] number_number_of_nat(V_1)!=number_number_of_nat(V_3)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|V_1=V_3.
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|V_1!=V_3.
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|number_number_of_int(V_1)!=zero_zero_int| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3))).
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|number_number_of_int(V_1)!=zero_zero_int|V_1!=V_3.
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_3)),zero_zero_int))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1))).
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_3)),zero_zero_int))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|V_1!=V_3.
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_3)),zero_zero_int))|number_number_of_int(V_1)!=zero_zero_int| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3))).
% 11.49/11.39 0 [] number_number_of_nat(V_1)=number_number_of_nat(V_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_3)),zero_zero_int))|number_number_of_int(V_1)!=zero_zero_int|V_1!=V_3.
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),K).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(hAPP_int_int(plus_plus_int(V),V_2))),K).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_real(real_nat,number_number_of_nat(V))=zero_zero_real.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_real(real_nat,number_number_of_nat(V))=number267125858f_real(V).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(N_2)),natfloor(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(N_2)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(N_2)),natfloor(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(N_2)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),number_number_of_nat(N_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),number267125858f_real(N_2))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),number_number_of_nat(N_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),number267125858f_real(N_2))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(N_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natfloor(hAPP_real_real(plus_plus_real(X),number267125858f_real(N_1)))=hAPP_nat_nat(plus_plus_nat(natfloor(X)),number_number_of_nat(N_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,$f71(X)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))|archim856651990g_real(X)=hAPP_int_int(plus_plus_int(N_1),one_one_int).
% 11.49/11.39 0 [] hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(X),Y))=hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y)).
% 11.49/11.39 0 [] archim856651990g_real(hAPP_real_real(plus_plus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(plus_plus_int(archim856651990g_real(X)),A).
% 11.49/11.39 0 [] hAPP_int_real(real_int,archim1246769320r_real(X_1))!=X_1|X_1=hAPP_int_real(real_int,$f72(X_1)).
% 11.49/11.39 0 [] hAPP_int_real(real_int,archim1246769320r_real(X_1))=X_1|X_1!=hAPP_int_real(real_int,N).
% 11.49/11.39 0 [] archim1246769320r_real(hAPP_int_real(real_int,N_1))=N_1.
% 11.49/11.39 0 [] hAPP_int_real(real_int,archim856651990g_real(X_1))!=X_1|X_1=hAPP_int_real(real_int,$f73(X_1)).
% 11.49/11.39 0 [] hAPP_int_real(real_int,archim856651990g_real(X_1))=X_1|X_1!=hAPP_int_real(real_int,N).
% 11.49/11.39 0 [] archim856651990g_real(hAPP_int_real(real_int,N_1))=N_1.
% 11.49/11.39 0 [] hAPP_int_real(real_int,number_number_of_int(V))=number267125858f_real(V).
% 11.49/11.39 0 [] hAPP_int_real(real_int,X_1)!=hAPP_int_real(real_int,Y_1)|X_1=Y_1.
% 11.49/11.39 0 [] hAPP_int_real(real_int,X_1)=hAPP_int_real(real_int,Y_1)|X_1!=Y_1.
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R),hAPP_int_real(real_int,archim856651990g_real(R)))).
% 11.49/11.39 0 [] hAPP_int_real(real_int,one_one_int)=one_one_real.
% 11.49/11.39 0 [] hAPP_int_real(real_int,hAPP_int_int(times_times_int(X),Y))=hAPP_real_real(times_times_real(hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,Aa))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,Aa))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Aa)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Aa)),X_1)).
% 11.49/11.39 0 [] hAPP_int_real(real_int,X_1)!=zero_zero_real|X_1=zero_zero_int.
% 11.49/11.39 0 [] hAPP_int_real(real_int,X_1)=zero_zero_real|X_1!=zero_zero_int.
% 11.49/11.39 0 [] hAPP_int_real(real_int,zero_zero_int)=zero_zero_real.
% 11.49/11.39 0 [] archim856651990g_real(hAPP_real_real(minus_minus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(minus_minus_int(archim856651990g_real(X)),A).
% 11.49/11.39 0 [] hAPP_int_real(real_int,hAPP_int_int(minus_minus_int(X),Y))=hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim1246769320r_real(R))),R)).
% 11.49/11.39 0 [] hAPP_int_real(real_int,abs_abs_int(X))=abs_abs_real(hAPP_int_real(real_int,X)).
% 11.49/11.39 0 [] hBOOL(member_real(hAPP_int_real(real_int,X_1),ring_1_Ints_real)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim856651990g_real(R))),hAPP_real_real(plus_plus_real(R),one_one_real))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,archim856651990g_real(R))),one_one_real)),R)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(real_int,Aa))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(real_int,Aa))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A)),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),archim1246769320r_real(X))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Aa)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Aa)),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),archim1246769320r_real(X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A)),X)).
% 11.49/11.39 0 [] archim1246769320r_real(hAPP_real_real(plus_plus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(plus_plus_int(archim1246769320r_real(X)),A).
% 11.49/11.39 0 [] archim1246769320r_real(hAPP_real_real(minus_minus_real(X),hAPP_int_real(real_int,A)))=hAPP_int_int(minus_minus_int(archim1246769320r_real(X)),A).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_2)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_2),zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_2)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_2),zero_zero_int)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_2),zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_2),zero_zero_int)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(N_2)),hAPP_int_real(real_int,M_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(N_2)),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(N_2)),hAPP_int_real(real_int,M_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(N_2)),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,M_1)),number267125858f_real(N_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),number_number_of_int(N_2))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,M_1)),number267125858f_real(N_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),number_number_of_int(N_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(N_2)),hAPP_int_real(real_int,M_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(N_2)),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(N_2)),hAPP_int_real(real_int,M_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(N_2)),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M_1)),number267125858f_real(N_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),number_number_of_int(N_2))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M_1)),number267125858f_real(N_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),number_number_of_int(N_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_2),M_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_2)),one_one_real)),hAPP_int_real(real_int,M_1))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_2),M_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_2)),one_one_real)),hAPP_int_real(real_int,M_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_2),M_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_2)),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,M_1)),one_one_real))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_2),M_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_2)),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,M_1)),one_one_real))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,X)),one_one_real)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),X)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,N_1)),one_one_real)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,N_1)))|archim856651990g_real(X)=N_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,Aa)),one_one_real))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,Aa)),one_one_real))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,archim1246769320r_real(R))),one_one_real))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,archim1246769320r_real(R))),one_one_real))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))|archim1246769320r_real(X)=N_1.
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(minus_minus_real(R),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R)))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(R),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),R))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))|archim856651990g_real(X)=hAPP_int_int(plus_plus_int(N_1),one_one_int).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,N_1)),one_one_real)))|archim1246769320r_real(X)=N_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,Aa)),one_one_real))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,Aa)),one_one_real))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,$f74(R))),R)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_int_real(real_int,hAPP_int_int(plus_plus_int($f74(R)),one_one_int)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,$f75(R))),R)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_int_real(real_int,hAPP_int_int(plus_plus_int($f75(R)),one_one_int)))).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,$f76(R))),R)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_int_real(real_int,hAPP_int_int(plus_plus_int($f76(R)),one_one_int)))).
% 11.49/11.39 0 [] archim856651990g_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K)),zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f77(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(P_1,$f77(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X2))|hBOOL(hAPP_int_bool(P_1,X2))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f78(P_1)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f79(P_1)))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f80(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X3))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(P_1,$f80(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X3))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M))=hAPP_nat_int(semiri1621563631at_int,M).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,N_2)!=zero_zero_int|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,N_2)=zero_zero_int|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 11.49/11.39 0 [] zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 11.49/11.39 0 [] one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 11.49/11.39 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X),Y)).
% 11.49/11.39 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M),N_1)).
% 11.49/11.39 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N_1)),Z_1))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M),N_1))),Z_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))|Z=hAPP_int_int(plus_plus_int(W),hAPP_nat_int(semiri1621563631at_int,$f81(W,Z))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))|Z!=hAPP_int_int(plus_plus_int(W),hAPP_nat_int(semiri1621563631at_int,N)).
% 11.49/11.39 0 [] hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(times_times_nat(M),N_1)).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(times_times_nat(M),N_1))=hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1)).
% 11.49/11.39 0 [] hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(times_times_nat(X),Y)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N_1))).
% 11.49/11.39 0 [] real_nat=semiri132038758t_real.
% 11.49/11.39 0 [] hAPP_int_real(real_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_real(real_nat,N_1).
% 11.49/11.39 0 [] real_nat=semiri132038758t_real.
% 11.49/11.39 0 [] archim1246769320r_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1).
% 11.49/11.39 0 [] nat_tsub(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X),Y)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N_2)),zero_zero_int))|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N_2)),zero_zero_int))|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))|hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,K)),I)),hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,K)),J))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=zero_zero_int.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=number_number_of_int(V).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(X_1),Y_1))))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f82(K))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))|K=hAPP_nat_int(semiri1621563631at_int,$f82(K)).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,M_1)!=hAPP_nat_int(semiri1621563631at_int,N_2)|M_1=N_2.
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,M_1)=hAPP_nat_int(semiri1621563631at_int,N_2)|M_1!=N_2.
% 11.49/11.39 0 [] -hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,X_1),Y_1)).
% 11.49/11.39 0 [] hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,X_1),Y_1)).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,X_1)!=hAPP_nat_int(semiri1621563631at_int,Y_1)|X_1=Y_1.
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,Y_1)|X_1!=Y_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))|K=hAPP_nat_int(semiri1621563631at_int,$f83(K)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|Z_1=hAPP_nat_int(semiri1621563631at_int,$f84(Z_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))|K=hAPP_nat_int(semiri1621563631at_int,$f85(K)).
% 11.49/11.39 0 [] Z_1=hAPP_int_int(minus_minus_int(hAPP_nat_int(semiri1621563631at_int,$f87(Z_1))),hAPP_nat_int(semiri1621563631at_int,$f86(Z_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(hAPP_int_int(times_times_int(V),V_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_2)),K))=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_2)),K))=hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(V),V_2))),K).
% 11.49/11.39 0 [] hAPP_int_int(minus_minus_int(K),pls)=K.
% 11.49/11.39 0 [] hAPP_int_int(times_times_int(pls),W_1)=pls.
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 11.49/11.39 0 [] hAPP_int_int(plus_plus_int(pls),K)=K.
% 11.49/11.39 0 [] hAPP_int_int(plus_plus_int(K),pls)=K.
% 11.49/11.39 0 [] pls=zero_zero_int.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 11.49/11.39 0 [] zero_zero_int=number_number_of_int(pls).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 11.49/11.39 0 [] number_number_of_nat(pls)=zero_zero_nat.
% 11.49/11.39 0 [] zero_zero_nat=number_number_of_nat(pls).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pls))).
% 11.49/11.39 0 [] zero_zero_nat!=number_number_of_nat(V_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)).
% 11.49/11.39 0 [] zero_zero_nat=number_number_of_nat(V_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)).
% 11.49/11.39 0 [] number_number_of_nat(V_1)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)).
% 11.49/11.39 0 [] number_number_of_nat(V_1)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),V_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_3)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),V_3)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(V_1)),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,V_1),V_3)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(pls))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),V_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),V_3)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(V_1)),number_number_of_nat(V_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(V_2).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(V).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_2))=number_number_of_nat(hAPP_int_int(plus_plus_int(V),V_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V))=one_one_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V))=number_number_of_nat(succ(V)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),one_one_nat)=one_one_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),one_one_nat)=number_number_of_nat(succ(V)).
% 11.49/11.39 0 [] succ(K)=hAPP_int_int(plus_plus_int(K),one_one_int).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))|hAPP_nat_nat(minus_minus_nat(number_number_of_nat(V)),one_one_nat)=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))|hAPP_nat_nat(minus_minus_nat(number_number_of_nat(V)),one_one_nat)=number_number_of_nat(pred(V)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),N_1))=hAPP_nat_nat(plus_plus_nat(one_one_nat),N_1).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),N_1))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(succ(V))),N_1).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N_1))).
% 11.49/11.39 0 [] succ(pred(X))=X.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|M_1=zero_zero_nat|M_1=hAPP_nat_nat(suc,$f88(M_1,N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|M_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f88(M_1,N_2)),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|M_1!=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|M_1!=hAPP_nat_nat(suc,J_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,zero_zero_nat)))|N_2=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,zero_zero_nat)))|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|N_2=hAPP_nat_nat(suc,$f89(N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|N_2!=hAPP_nat_nat(suc,M_2).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|M_1=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|N_2=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)!=hAPP_nat_nat(suc,zero_zero_nat)|N_2=zero_zero_nat|M_1=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)!=hAPP_nat_nat(suc,zero_zero_nat)|N_2=zero_zero_nat|N_2=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_2)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=zero_zero_nat|N_2!=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),N_2)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|M_1=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),N_2)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|N_2=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),N_2)|N_2=zero_zero_nat|M_1=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),N_2)|N_2=zero_zero_nat|N_2=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(M_1),N_2)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|N_2!=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(M_1),N_2)|M_1!=zero_zero_nat|N_2!=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)!=hAPP_nat_nat(suc,zero_zero_nat)|N_2=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(M_1),N_2)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|N_2!=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|N_2=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),$f90(M_1,N_2))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|N_2!=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),K_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),I)))).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(I),M)))).
% 11.49/11.39 0 [] one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))|N_2=M_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))|N_2!=M_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),hAPP_nat_nat(suc,M))).
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(times_times_nat(M),N_1)).
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(times_times_nat(M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(plus_plus_nat(one_one_nat),N_1).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(plus_plus_nat(N_1),one_one_nat).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(M),N_1)).
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,N_1)),one_one_nat)=N_1.
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|M=hAPP_nat_nat(suc,N_1).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),hAPP_nat_nat(suc,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),hAPP_nat_nat(suc,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|M_1=hAPP_nat_nat(suc,N_2).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_2)))|M_1!=hAPP_nat_nat(suc,N_2).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_2)),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),N_1)).
% 11.49/11.39 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M).
% 11.49/11.39 0 [] zero_zero_nat!=hAPP_nat_nat(suc,Nat_3).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,M)!=zero_zero_nat.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat.
% 11.49/11.39 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,M)!=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))|M_1=N_2.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_2)))|M_1!=N_2.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))|N_2=M_1.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_2),hAPP_nat_nat(suc,M_1)))|N_2!=M_1.
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M)))|M=N_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|hAPP_nat_nat(suc,M)=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|M=N_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N_1)).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N_1)).
% 11.49/11.39 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N_1)).
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N_1)),hAPP_nat_nat(suc,K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),K).
% 11.49/11.39 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(minus_minus_nat(M),N_1).
% 11.49/11.39 0 [] N_1!=hAPP_nat_nat(suc,N_1).
% 11.49/11.39 0 [] hAPP_nat_nat(suc,N_1)!=N_1.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,Nat_1)!=hAPP_nat_nat(suc,Nat)|Nat_1=Nat.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,Nat_1)=hAPP_nat_nat(suc,Nat)|Nat_1!=Nat.
% 11.49/11.39 0 [] hAPP_nat_nat(suc,X)!=hAPP_nat_nat(suc,Y)|X=Y.
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)!=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)|M_1=N_2.
% 11.49/11.39 0 [] hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),M_1)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,K_1)),N_2)|M_1!=N_2.
% 11.49/11.39 0 [] pred(K)=hAPP_int_int(minus_minus_int(K),one_one_int).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pred(K_1)),L)).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pred(K_1)),L)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),number_number_of_nat(V))=hAPP_nat_nat(minus_minus_nat(M),number_number_of_nat(pred(V))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M),N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(times_times_nat(N_1),M))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(times_times_nat(M),N_1))).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hAPP_nat_nat(times_times_nat(M),N_1)!=M|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))|hAPP_nat_nat(times_times_nat(M),N_1)!=K|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),K)).
% 11.49/11.39 0 [] M=hAPP_nat_nat(times_times_nat(M),K)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K)).
% 11.49/11.39 0 [] M=hAPP_nat_nat(times_times_nat(M),K)|M=hAPP_nat_nat(suc,zero_zero_nat)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(suc,zero_zero_nat)))=N_1.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(suc,I))),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M_1),N_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(times_times_nat(M_1),N_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_2)).
% 11.49/11.39 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1)))).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(suc,zero_zero_nat))=one_one_real.
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J),K)))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(suc,J)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J),K))),M)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,J)),hAPP_nat_nat(plus_plus_nat(K),M)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|Z=hAPP_int_int(plus_plus_int(W),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,$f91(W,Z)))).
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|Z!=hAPP_int_int(plus_plus_int(W),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N))).
% 11.49/11.39 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M))=hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,M)).
% 11.49/11.39 0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))=hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,N_1)),one_one_real).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|N_1=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(N_1),one_one_nat)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(N_1),one_one_nat))=N_1.
% 11.49/11.39 0 [] M!=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(M),N_1)=N_1.
% 11.49/11.39 0 [] M=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(M),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1)).
% 11.49/11.39 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V)))|number_number_of_nat(V)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(number_number_of_nat(V)),one_one_nat)).
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pred(V_1))))|number_number_of_nat(V_1)=zero_zero_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pred(V_1))))|number_number_of_nat(V_1)!=zero_zero_nat.
% 11.49/11.39 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,number_number_of_nat(V))=one_one_nat.
% 11.49/11.39 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,number_number_of_nat(V))=number_number_of_nat(succ(V)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,$f92(R))),R)).
% 11.49/11.39 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,$f92(R))))).
% 11.49/11.39 0 [] hAPP_nat_nat(if_nat(fTrue,X),Y)=X.
% 11.49/11.39 0 [] hAPP_nat_nat(if_nat(fFalse,X),Y)=Y.
% 11.49/11.39 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 11.49/11.39 0 [] hAPP_int_int(times_times_int(twoSqu1241645765sum2sq(product_Pair_int_int(a,b))),twoSqu1241645765sum2sq(product_Pair_int_int(p,q)))!=twoSqu1241645765sum2sq(product_Pair_int_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(a),p)),hAPP_int_int(times_times_int(b),q)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(a),q)),hAPP_int_int(times_times_int(b),p)))).
% 11.49/11.39 end_of_list.
% 11.49/11.39
% 11.49/11.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 11.49/11.39
% 11.49/11.39 This ia a non-Horn set with equality. The strategy will be
% 11.49/11.39 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 11.49/11.39 deletion, with positive clauses in sos and nonpositive
% 11.49/11.39 clauses in usable.
% 11.49/11.39
% 11.49/11.39 dependent: set(knuth_bendix).
% 11.49/11.39 dependent: set(anl_eq).
% 11.49/11.39 dependent: set(para_from).
% 11.49/11.39 dependent: set(para_into).
% 11.49/11.39 dependent: clear(para_from_right).
% 11.49/11.39 dependent: clear(para_into_right).
% 11.49/11.39 dependent: set(para_from_vars).
% 11.49/11.39 dependent: set(eq_units_both_ways).
% 11.49/11.39 dependent: set(dynamic_demod_all).
% 11.49/11.39 dependent: set(dynamic_demod).
% 11.49/11.39 dependent: set(order_eq).
% 11.49/11.39 dependent: set(back_demod).
% 11.49/11.39 dependent: set(lrpo).
% 11.49/11.39 dependent: set(hyper_res).
% 11.49/11.39 dependent: set(unit_deletion).
% 11.49/11.39 dependent: set(factor).
% 11.49/11.39
% 11.49/11.39 ------------> process usable:
% 11.49/11.39 ** KEPT (pick-wt=27): 1 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)|C=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(D),A)),B)),E).
% 11.49/11.39 ** KEPT (pick-wt=27): 2 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)|C!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(D),A)),B)),E).
% 11.49/11.39 ** KEPT (pick-wt=27): 3 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)|C=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(D),A)),B)),E).
% 11.49/11.39 ** KEPT (pick-wt=27): 4 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)|C!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(D),A)),B)),E).
% 11.49/11.39 ** KEPT (pick-wt=27): 5 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),D)),B)),C)=E.
% 11.49/11.39 ** KEPT (pick-wt=27): 6 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),D)),B)),C)!=E.
% 11.49/11.39 ** KEPT (pick-wt=27): 7 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),D)),B)),C)=E.
% 11.49/11.39 ** KEPT (pick-wt=27): 8 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),D)),B)),C)!=E.
% 11.49/11.39 ** KEPT (pick-wt=12): 9 [] -hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,A))|twoSqu1241645765sum2sq(product_Pair_int_int($f2(A),$f1(A)))=A.
% 11.49/11.39 ** KEPT (pick-wt=10): 10 [] hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,A))|twoSqu1241645765sum2sq(product_Pair_int_int(B,C))!=A.
% 11.49/11.39 ** KEPT (pick-wt=12): 11 [] hAPP_int_int(minus_minus_int(A),B)!=C|A=hAPP_int_int(plus_plus_int(C),B).
% 11.49/11.39 ** KEPT (pick-wt=12): 12 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(C),B)|A=C.
% 11.49/11.39 ** KEPT (pick-wt=12): 13 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(C),B)|A=C.
% 11.49/11.39 ** KEPT (pick-wt=12): 14 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 11.49/11.39 ** KEPT (pick-wt=12): 15 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 11.49/11.39 ** KEPT (pick-wt=12): 16 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 11.49/11.39 ** KEPT (pick-wt=12): 17 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 11.49/11.39 Following clause subsumed by 15 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 11.49/11.39 Following clause subsumed by 16 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 11.49/11.40 Following clause subsumed by 17 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 11.49/11.40 Following clause subsumed by 12 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(C),B)|A=C.
% 11.49/11.40 ** KEPT (pick-wt=12): 18 [] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(C),B)|A!=C.
% 11.49/11.40 Following clause subsumed by 13 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(C),B)|A=C.
% 11.49/11.40 ** KEPT (pick-wt=12): 19 [] hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(C),B)|A!=C.
% 11.49/11.40 Following clause subsumed by 14 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 11.49/11.40 ** KEPT (pick-wt=12): 20 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(C),B)|A!=C.
% 11.49/11.40 Following clause subsumed by 15 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 11.49/11.40 ** KEPT (pick-wt=12): 21 [] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(A),C)|B!=C.
% 11.49/11.40 Following clause subsumed by 16 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 11.49/11.40 ** KEPT (pick-wt=12): 22 [] hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(A),C)|B!=C.
% 11.49/11.40 Following clause subsumed by 17 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 11.49/11.40 ** KEPT (pick-wt=12): 23 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(A),C)|B!=C.
% 11.49/11.40 ** KEPT (pick-wt=15): 24 [] hAPP_int_int(minus_minus_int(A),B)!=hAPP_int_int(minus_minus_int(C),D)|A!=B|C=D.
% 11.49/11.40 ** KEPT (pick-wt=15): 25 [] hAPP_int_int(minus_minus_int(A),B)!=hAPP_int_int(minus_minus_int(C),D)|A=B|C!=D.
% 11.49/11.40 ** KEPT (pick-wt=15): 26 [] hAPP_real_real(minus_minus_real(A),B)!=hAPP_real_real(minus_minus_real(C),D)|A!=B|C=D.
% 11.49/11.40 ** KEPT (pick-wt=15): 27 [] hAPP_real_real(minus_minus_real(A),B)!=hAPP_real_real(minus_minus_real(C),D)|A=B|C!=D.
% 11.49/11.40 ** KEPT (pick-wt=27): 28 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),D))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(C),B))|A=C|B=D.
% 11.49/11.40 ** KEPT (pick-wt=24): 29 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),D))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(C),B))|A!=C.
% 11.49/11.40 ** KEPT (pick-wt=24): 30 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),D))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(C),B))|B!=D.
% 11.49/11.40 ** KEPT (pick-wt=27): 31 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),D))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(C),B))|A=C|B=D.
% 11.49/11.40 ** KEPT (pick-wt=24): 32 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(C),B))|A!=C.
% 11.49/11.40 ** KEPT (pick-wt=24): 33 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(C),B))|B!=D.
% 11.49/11.40 ** KEPT (pick-wt=27): 34 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),D))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(C),B))|A=C|B=D.
% 11.49/11.40 ** KEPT (pick-wt=24): 35 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(C),B))|A!=C.
% 11.49/11.40 ** KEPT (pick-wt=24): 36 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(C),B))|B!=D.
% 11.49/11.40 Following clause subsumed by 28 during input processing: 0 [] A=B|C=D|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),D))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(B),C)).
% 11.49/11.40 Following clause subsumed by 29 during input processing: 0 [] A!=B|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),D))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(B),C)).
% 11.49/11.40 Following clause subsumed by 30 during input processing: 0 [] A!=B|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(D),B))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(C),B)),hAPP_int_int(times_times_int(D),A)).
% 11.49/11.40 Following clause subsumed by 31 during input processing: 0 [] A=B|C=D|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),D))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(B),C)).
% 11.49/11.40 Following clause subsumed by 32 during input processing: 0 [] A!=B|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(B),C)).
% 11.49/11.40 Following clause subsumed by 33 during input processing: 0 [] A!=B|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(D),B))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(C),B)),hAPP_real_real(times_times_real(D),A)).
% 11.49/11.40 Following clause subsumed by 34 during input processing: 0 [] A=B|C=D|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(B),C)).
% 11.49/11.40 Following clause subsumed by 35 during input processing: 0 [] A!=B|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(B),C)).
% 11.49/11.40 Following clause subsumed by 36 during input processing: 0 [] A!=B|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(D),B))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),B)),hAPP_nat_nat(times_times_nat(D),A)).
% 11.49/11.40 ** KEPT (pick-wt=10): 37 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 11.49/11.40 ** KEPT (pick-wt=10): 38 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 11.49/11.40 ** KEPT (pick-wt=10): 39 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|A=C.
% 11.49/11.40 ** KEPT (pick-wt=10): 40 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|B=D.
% 11.49/11.40 Following clause subsumed by 37 during input processing: 0 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 11.49/11.40 Following clause subsumed by 38 during input processing: 0 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 11.49/11.40 ** KEPT (pick-wt=13): 41 [] product_Pair_int_int(A,B)=product_Pair_int_int(C,D)|A!=C|B!=D.
% 11.49/11.40 Following clause subsumed by 39 during input processing: 0 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|A=C.
% 11.49/11.40 Following clause subsumed by 40 during input processing: 0 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|B=D.
% 11.49/11.40 ** KEPT (pick-wt=13): 42 [] produc282740534nt_int(A,B)=produc282740534nt_int(C,D)|A!=C|B!=D.
% 11.49/11.40 ** KEPT (pick-wt=11): 43 [] -hBOOL(hAPP_P603027463t_bool(A,$f3(A)))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=12): 44 [] hBOOL(hAPP_P603027463t_bool(A,B))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int($f5(A),$f4(A)))).
% 11.49/11.40 ** KEPT (pick-wt=11): 45 [] -hBOOL(hAPP_P178748804t_bool(A,$f6(A)))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=12): 46 [] hBOOL(hAPP_P178748804t_bool(A,B))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int($f8(A),$f7(A)))).
% 11.49/11.40 ** KEPT (pick-wt=12): 47 [] -hBOOL(hAPP_P603027463t_bool(A,B))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int($f10(A),$f9(A)))).
% 11.49/11.40 ** KEPT (pick-wt=11): 48 [] hBOOL(hAPP_P603027463t_bool(A,$f11(A)))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=12): 49 [] -hBOOL(hAPP_P178748804t_bool(A,B))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int($f13(A),$f12(A)))).
% 11.49/11.40 ** KEPT (pick-wt=11): 50 [] hBOOL(hAPP_P178748804t_bool(A,$f14(A)))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=18): 51 [] -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int($f17(B,A),product_Pair_int_int($f16(B,A),$f15(B,A)))))|hBOOL(hAPP_P178748804t_bool(A,B)).
% 11.49/11.40 ** KEPT (pick-wt=8): 52 [] -hBOOL(member_real(A,B))|hBOOL(hAPP_real_bool(B,A)).
% 11.49/11.40 ** KEPT (pick-wt=8): 53 [] hBOOL(member_real(A,B))| -hBOOL(hAPP_real_bool(B,A)).
% 11.49/11.40 ** KEPT (pick-wt=12): 54 [] -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C)))|hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=12): 55 [] -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C)))|hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=33): 56 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 57 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 58 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 59 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 60 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 61 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 62 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 63 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 64 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 65 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 66 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 67 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),D)),B)),C)),E)).
% 11.49/11.40 ** KEPT (pick-wt=33): 68 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 69 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 70 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=33): 71 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),C)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),B)),E)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(D),A)),B)),E))).
% 11.49/11.40 ** KEPT (pick-wt=12): 72 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 11.49/11.40 Following clause subsumed by 54 during input processing: 0 [] hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=12): 73 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 11.49/11.40 Following clause subsumed by 55 during input processing: 0 [] hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=21): 74 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(A),B))).
% 11.49/11.40 ** KEPT (pick-wt=21): 75 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(A),B))).
% 11.49/11.40 ** KEPT (pick-wt=21): 76 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(A),B))).
% 11.49/11.40 ** KEPT (pick-wt=24): 77 [] -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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 78 [] -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_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 79 [] -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_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 80 [] -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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 81 [] -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,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 82 [] -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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=6): 83 [] one_one_int!=A|A=one_one_int.
% 11.49/11.40 ** KEPT (pick-wt=6): 84 [] one_one_int=A|A!=one_one_int.
% 11.49/11.40 ** KEPT (pick-wt=6): 85 [] one_one_real!=A|A=one_one_real.
% 11.49/11.40 ** KEPT (pick-wt=6): 86 [] one_one_real=A|A!=one_one_real.
% 11.49/11.40 ** KEPT (pick-wt=6): 87 [] one_one_nat!=A|A=one_one_nat.
% 11.49/11.40 ** KEPT (pick-wt=6): 88 [] one_one_nat=A|A!=one_one_nat.
% 11.49/11.40 ** KEPT (pick-wt=15): 89 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 90 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=8): 91 [] number_number_of_int(A)!=B|B=number_number_of_int(A).
% 11.49/11.40 ** KEPT (pick-wt=8): 92 [] number_number_of_int(A)=B|B!=number_number_of_int(A).
% 11.49/11.40 ** KEPT (pick-wt=8): 93 [] number267125858f_real(A)!=B|B=number267125858f_real(A).
% 11.49/11.40 ** KEPT (pick-wt=8): 94 [] number267125858f_real(A)=B|B!=number267125858f_real(A).
% 11.49/11.40 ** KEPT (pick-wt=8): 95 [] number_number_of_nat(A)!=B|B=number_number_of_nat(A).
% 11.49/11.40 ** KEPT (pick-wt=8): 96 [] number_number_of_nat(A)=B|B!=number_number_of_nat(A).
% 11.49/11.40 ** KEPT (pick-wt=16): 97 [] -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_int,number_number_of_int(B)),number_number_of_int(A))).
% 11.49/11.40 ** KEPT (pick-wt=16): 98 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(B)),number267125858f_real(A))).
% 11.49/11.40 ** KEPT (pick-wt=16): 99 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(B)),number_number_of_nat(A))).
% 11.49/11.40 ** KEPT (pick-wt=8): 100 [] number_number_of_int(A)!=number_number_of_int(B)|A=B.
% 11.49/11.40 ** KEPT (pick-wt=8): 101 [] number_number_of_int(A)=number_number_of_int(B)|A!=B.
% 11.49/11.40 ** KEPT (pick-wt=8): 102 [] number267125858f_real(A)!=number267125858f_real(B)|A=B.
% 11.49/11.40 ** KEPT (pick-wt=8): 103 [] number267125858f_real(A)=number267125858f_real(B)|A!=B.
% 11.49/11.40 ** KEPT (pick-wt=14): 104 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 105 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 106 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 107 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 108 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 109 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 110 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=14): 111 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=15): 112 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 113 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 Following clause subsumed by 113 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,hAPP_int_int(plus_plus_int(A),one_one_int)),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 114 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 115 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 116 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=15): 117 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 118 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 Following clause subsumed by 77 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,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=18): 119 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 11.49/11.40 ** KEPT (pick-wt=15): 120 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=12): 121 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))|A!=B.
% 11.49/11.40 ** KEPT (pick-wt=18): 122 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 123 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 124 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 125 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 126 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 127 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 128 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 129 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 130 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 131 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 132 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 133 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.49/11.40 Following clause subsumed by 123 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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 11.49/11.40 Following clause subsumed by 125 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),C))).
% 11.49/11.40 Following clause subsumed by 127 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(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 11.49/11.40 Following clause subsumed by 129 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,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 11.49/11.40 Following clause subsumed by 131 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 11.49/11.40 Following clause subsumed by 133 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(plus_plus_nat(C),A)),hAPP_nat_nat(plus_plus_nat(C),B))).
% 11.49/11.40 ** KEPT (pick-wt=24): 134 [] -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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 135 [] -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,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 136 [] -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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 11.49/11.40 Following clause subsumed by 122 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 Following clause subsumed by 124 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 Following clause subsumed by 126 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 Following clause subsumed by 128 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 11.49/11.40 Following clause subsumed by 130 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.49/11.40 Following clause subsumed by 132 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=21): 137 [] hAPP_int_int(minus_minus_int(A),B)!=hAPP_int_int(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)).
% 11.49/11.40 ** KEPT (pick-wt=21): 138 [] hAPP_int_int(minus_minus_int(A),B)!=hAPP_int_int(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)).
% 11.49/11.40 ** KEPT (pick-wt=21): 139 [] hAPP_real_real(minus_minus_real(A),B)!=hAPP_real_real(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)).
% 11.49/11.40 ** KEPT (pick-wt=21): 140 [] hAPP_real_real(minus_minus_real(A),B)!=hAPP_real_real(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)).
% 11.49/11.40 ** KEPT (pick-wt=18): 141 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 142 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 143 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 144 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 145 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 146 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 147 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 148 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 149 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 150 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 151 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 152 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.49/11.40 Following clause subsumed by 142 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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 11.49/11.40 Following clause subsumed by 144 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,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),C))).
% 11.49/11.40 Following clause subsumed by 146 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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 11.49/11.40 Following clause subsumed by 148 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,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 11.49/11.40 Following clause subsumed by 150 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,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 11.49/11.40 Following clause subsumed by 152 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,hAPP_nat_nat(plus_plus_nat(C),A)),hAPP_nat_nat(plus_plus_nat(C),B))).
% 11.49/11.40 ** KEPT (pick-wt=24): 153 [] -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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 154 [] -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,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 11.49/11.40 ** KEPT (pick-wt=24): 155 [] -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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 11.49/11.40 Following clause subsumed by 141 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 11.49/11.40 Following clause subsumed by 143 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 11.49/11.40 Following clause subsumed by 145 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.49/11.40 Following clause subsumed by 147 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 11.49/11.40 Following clause subsumed by 149 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.49/11.40 Following clause subsumed by 151 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.49/11.40 ** KEPT (pick-wt=21): 156 [] hAPP_int_int(minus_minus_int(A),B)!=hAPP_int_int(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)).
% 11.49/11.40 ** KEPT (pick-wt=21): 157 [] hAPP_int_int(minus_minus_int(A),B)!=hAPP_int_int(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)).
% 11.49/11.40 ** KEPT (pick-wt=21): 158 [] hAPP_real_real(minus_minus_real(A),B)!=hAPP_real_real(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)).
% 11.49/11.40 ** KEPT (pick-wt=21): 159 [] hAPP_real_real(minus_minus_real(A),B)!=hAPP_real_real(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)).
% 11.49/11.40 Following clause subsumed by 123 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,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 11.49/11.40 Following clause subsumed by 148 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,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 11.49/11.40 Following clause subsumed by 72 during input processing: 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 11.49/11.40 Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 11.49/11.40 Following clause subsumed by 72 during input processing: 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 11.49/11.40 Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 11.49/11.40 ** KEPT (pick-wt=18): 160 [] -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),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=18): 161 [] -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),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=18): 162 [] -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),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=18): 163 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 164 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 165 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 Following clause subsumed by 163 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,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.49/11.40 Following clause subsumed by 164 during input processing: 0 [] -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),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.49/11.40 Following clause subsumed by 165 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,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 11.49/11.40 Following clause subsumed by 160 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,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 Following clause subsumed by 161 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_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_real,A),C)).
% 11.49/11.40 Following clause subsumed by 162 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,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 166 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|B=A|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 167 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|B=A|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 168 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B=A|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 11.49/11.40 Following clause subsumed by 114 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 Following clause subsumed by 115 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 11.49/11.40 Following clause subsumed by 116 during input processing: 0 [] -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)).
% 11.49/11.40 Following clause subsumed by 114 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_int,A),B))|A=B.
% 11.49/11.40 Following clause subsumed by 115 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.
% 11.49/11.40 Following clause subsumed by 116 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.
% 11.49/11.40 Following clause subsumed by 114 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_int,A),B))|A=B.
% 11.49/11.40 ** KEPT (pick-wt=15): 169 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 115 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.
% 11.49/11.40 ** KEPT (pick-wt=15): 170 [] -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.
% 11.49/11.40 Following clause subsumed by 116 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.
% 11.49/11.40 ** KEPT (pick-wt=15): 171 [] -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.
% 11.49/11.40 ** KEPT (pick-wt=12): 172 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=12): 173 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=12): 174 [] -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)).
% 11.49/11.40 Following clause subsumed by 172 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,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 175 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 114 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,A),B))|A=B.
% 11.49/11.40 Following clause subsumed by 104 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)).
% 11.49/11.40 Following clause subsumed by 105 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)).
% 11.49/11.40 Following clause subsumed by 108 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)).
% 11.49/11.40 Following clause subsumed by 109 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)).
% 11.49/11.40 ** KEPT (pick-wt=18): 176 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=15): 177 [] -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.
% 11.49/11.40 ** KEPT (pick-wt=9): 178 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 179 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 11.49/11.40 Following clause subsumed by 177 during input processing: 0 [] A=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)).
% 11.49/11.40 ** KEPT (pick-wt=9): 180 [] A!=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 181 [] A!=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 182 [] A=B| -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)).
% 11.49/11.40 ** KEPT (pick-wt=9): 183 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 184 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 185 [] A=B| -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)).
% 11.49/11.40 Following clause subsumed by 178 during input processing: 0 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 11.49/11.40 Following clause subsumed by 180 during input processing: 0 [] A!=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)).
% 11.49/11.40 Following clause subsumed by 183 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.49/11.40 Following clause subsumed by 177 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,B),A))|B=A.
% 11.49/11.40 Following clause subsumed by 178 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,B),A))|B!=A.
% 11.49/11.40 Following clause subsumed by 182 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,B),A))|B=A.
% 11.49/11.40 Following clause subsumed by 180 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,B),A))|B!=A.
% 11.49/11.40 Following clause subsumed by 185 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,B),A))|B=A.
% 11.49/11.40 Following clause subsumed by 183 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,B),A))|B!=A.
% 11.49/11.40 ** KEPT (pick-wt=15): 186 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=15): 187 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=15): 188 [] 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)).
% 11.49/11.40 ** KEPT (pick-wt=15): 189 [] 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,C),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 190 [] 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,C),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 191 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 192 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|B!=C|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 193 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|B!=C|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 194 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 195 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A!=C|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 196 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A!=C|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 197 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B)).
% 11.49/11.40 Following clause subsumed by 177 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,B),A))|A=B.
% 11.49/11.40 Following clause subsumed by 182 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,B),A))|A=B.
% 11.49/11.40 Following clause subsumed by 185 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,B),A))|A=B.
% 11.49/11.40 Following clause subsumed by 176 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,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 198 [] -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)).
% 11.49/11.40 ** KEPT (pick-wt=18): 199 [] -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)).
% 11.49/11.40 Following clause subsumed by 177 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,B),A))|B=A.
% 11.49/11.40 Following clause subsumed by 182 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,B),A))|B=A.
% 11.49/11.40 Following clause subsumed by 185 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,B),A))|B=A.
% 11.49/11.40 Following clause subsumed by 176 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,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 11.49/11.40 Following clause subsumed by 198 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,C),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B)).
% 11.49/11.40 Following clause subsumed by 199 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),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=6): 200 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),A)).
% 11.49/11.40 ** KEPT (pick-wt=6): 201 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),A)).
% 11.49/11.40 ** KEPT (pick-wt=6): 202 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 11.49/11.40 Following clause subsumed by 175 during input processing: 0 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 203 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=9): 204 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 205 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=9): 206 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 11.49/11.40 ** KEPT (pick-wt=9): 207 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=12): 208 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 11.49/11.40 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 11.49/11.40 ** KEPT (pick-wt=12): 209 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 11.49/11.40 ** KEPT (pick-wt=12): 210 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 11.49/11.40 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 175 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,B),A))|B!=A.
% 11.49/11.40 Following clause subsumed by 204 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))|B!=A.
% 11.49/11.40 Following clause subsumed by 206 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,B),A))|B!=A.
% 11.49/11.40 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 208 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,B),A)).
% 11.49/11.40 Following clause subsumed by 209 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 Following clause subsumed by 210 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,B),A)).
% 11.49/11.40 Following clause subsumed by 208 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,B),A)).
% 11.49/11.40 Following clause subsumed by 209 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 Following clause subsumed by 210 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,B),A)).
% 11.49/11.40 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 203 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|B!=A.
% 11.49/11.40 Following clause subsumed by 205 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|B!=A.
% 11.49/11.40 Following clause subsumed by 207 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 11.49/11.40 Following clause subsumed by 208 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,B),A))|hBOOL(C).
% 11.49/11.40 Following clause subsumed by 209 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))|hBOOL(C).
% 11.49/11.40 Following clause subsumed by 210 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,B),A))|hBOOL(C).
% 11.49/11.40 Following clause subsumed by 208 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,B),A)).
% 11.49/11.40 Following clause subsumed by 209 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 Following clause subsumed by 210 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,B),A)).
% 11.49/11.40 Following clause subsumed by 208 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,B),A)).
% 11.49/11.40 Following clause subsumed by 209 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 Following clause subsumed by 210 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,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 211 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 212 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 213 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 214 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 215 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 216 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),A)).
% 11.49/11.40 ** KEPT (pick-wt=15): 217 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|B!=C|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 218 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|B!=C|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 219 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=15): 220 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=C|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 221 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=C|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=15): 222 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 11.49/11.40 ** KEPT (pick-wt=18): 223 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 224 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 11.49/11.40 ** KEPT (pick-wt=18): 225 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.49/11.40 Following clause subsumed by 223 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,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.49/11.40 Following clause subsumed by 224 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.49/11.40 Following clause subsumed by 225 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),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 11.49/11.40 Following clause subsumed by 208 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,B),A)).
% 11.49/11.40 Following clause subsumed by 209 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.40 Following clause subsumed by 210 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,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=12): 226 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=12): 227 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=12): 228 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 11.49/11.40 Following clause subsumed by 226 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_int,B),A)).
% 11.49/11.40 Following clause subsumed by 227 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,B),A)).
% 11.49/11.40 Following clause subsumed by 228 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,B),A)).
% 11.49/11.40 Following clause subsumed by 172 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,A),B)).
% 11.49/11.40 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 114 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,A),B))|A=B.
% 11.49/11.40 Following clause subsumed by 173 during input processing: 0 [] -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)).
% 11.49/11.40 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 115 during input processing: 0 [] 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.
% 11.49/11.40 Following clause subsumed by 174 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)).
% 11.49/11.40 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 116 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.
% 11.49/11.40 Following clause subsumed by 172 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,A),B)).
% 11.49/11.40 Following clause subsumed by 226 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,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=18): 229 [] 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))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 11.49/11.40 Following clause subsumed by 173 during input processing: 0 [] -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)).
% 11.49/11.40 Following clause subsumed by 227 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=18): 230 [] 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))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 11.49/11.40 Following clause subsumed by 174 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)).
% 11.49/11.40 Following clause subsumed by 228 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,B),A)).
% 11.49/11.40 ** KEPT (pick-wt=18): 231 [] 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))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 11.49/11.40 Following clause subsumed by 114 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_int,A),B))|A=B.
% 11.49/11.40 Following clause subsumed by 172 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_int,A),B)).
% 11.49/11.40 Following clause subsumed by 178 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A!=B.
% 11.49/11.40 Following clause subsumed by 115 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.
% 11.49/11.41 Following clause subsumed by 173 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)).
% 11.49/11.41 Following clause subsumed by 180 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A!=B.
% 11.49/11.41 Following clause subsumed by 116 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.
% 11.49/11.41 Following clause subsumed by 174 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)).
% 11.49/11.41 Following clause subsumed by 183 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=B.
% 11.49/11.41 Following clause subsumed by 114 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,A),B))|A=B.
% 11.49/11.41 Following clause subsumed by 178 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,A),B))|A!=B.
% 11.49/11.41 Following clause subsumed by 115 during input processing: 0 [] 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.
% 11.49/11.41 Following clause subsumed by 180 during input processing: 0 [] 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.
% 11.49/11.41 Following clause subsumed by 116 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.
% 11.49/11.41 Following clause subsumed by 183 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.
% 11.49/11.41 Following clause subsumed by 114 during input processing: 0 [] A=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.41 Following clause subsumed by 115 during input processing: 0 [] A=B| -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)).
% 11.49/11.41 Following clause subsumed by 116 during input processing: 0 [] A=B| -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)).
% 11.49/11.41 Following clause subsumed by 166 during input processing: 0 [] A=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 11.49/11.41 Following clause subsumed by 167 during input processing: 0 [] A=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 11.49/11.41 Following clause subsumed by 168 during input processing: 0 [] A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 11.49/11.41 Following clause subsumed by 226 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_int,B),A)).
% 11.49/11.41 Following clause subsumed by 227 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,B),A)).
% 11.49/11.41 Following clause subsumed by 228 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,B),A)).
% 11.49/11.41 Following clause subsumed by 117 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 11.49/11.41 ** KEPT (pick-wt=23): 232 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f29(C,A,B)),B))|hBOOL(hAPP_int_bool(C,A)).
% 11.49/11.41 ** KEPT (pick-wt=21): 233 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,B))|hBOOL(hAPP_int_bool(C,$f29(C,A,B)))|hBOOL(hAPP_int_bool(C,A)).
% 11.49/11.41 ** KEPT (pick-wt=24): 234 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(minus_minus_int($f29(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(C,A)).
% 11.49/11.41 ** KEPT (pick-wt=26): 235 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f30(C,A,B)),B))|hBOOL(hAPP_int_bool(C,A)).
% 11.49/11.41 ** KEPT (pick-wt=24): 236 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(C,$f30(C,A,B)))|hBOOL(hAPP_int_bool(C,A)).
% 11.49/11.41 ** KEPT (pick-wt=27): 237 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(minus_minus_int(B),one_one_int)))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(minus_minus_int($f30(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(C,A)).
% 11.49/11.41 ** KEPT (pick-wt=23): 238 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),$f31(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 11.49/11.41 ** KEPT (pick-wt=21): 239 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))|hBOOL(hAPP_int_bool(C,$f31(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 11.49/11.41 ** KEPT (pick-wt=24): 240 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int($f31(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 11.49/11.41 ** KEPT (pick-wt=26): 241 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int(A),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),$f32(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 11.49/11.41 ** KEPT (pick-wt=24): 242 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int(A),one_one_int)))|hBOOL(hAPP_int_bool(C,$f32(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 11.49/11.41 ** KEPT (pick-wt=27): 243 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int(A),one_one_int)))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int($f32(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 11.49/11.41 ** KEPT (pick-wt=14): 244 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f33(A,B)),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 11.49/11.41 ** KEPT (pick-wt=21): 245 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),$f34(C,A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.49/11.41 ** KEPT (pick-wt=21): 246 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f34(C,A,B)),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.49/11.41 ** KEPT (pick-wt=21): 247 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f34(C,A,B)),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.49/11.41 ** KEPT (pick-wt=26): 248 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),$f35(C,A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f36(C,A,B)),B))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=24): 249 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),$f35(C,A,B)))|hBOOL(hAPP_int_bool(A,$f36(C,A,B)))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=27): 250 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),$f35(C,A,B)))| -hBOOL(hAPP_int_bool(A,hAPP_int_int(minus_minus_int($f36(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=24): 251 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(A,$f35(C,A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f36(C,A,B)),B))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=22): 252 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(A,$f35(C,A,B)))|hBOOL(hAPP_int_bool(A,$f36(C,A,B)))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=25): 253 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(A,$f35(C,A,B)))| -hBOOL(hAPP_int_bool(A,hAPP_int_int(minus_minus_int($f36(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=27): 254 [] -hBOOL(hAPP_int_bool(A,B))| -hBOOL(hAPP_int_bool(A,hAPP_int_int(plus_plus_int($f35(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f36(C,A,B)),B))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=25): 255 [] -hBOOL(hAPP_int_bool(A,B))| -hBOOL(hAPP_int_bool(A,hAPP_int_int(plus_plus_int($f35(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(A,$f36(C,A,B)))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=28): 256 [] -hBOOL(hAPP_int_bool(A,B))| -hBOOL(hAPP_int_bool(A,hAPP_int_int(plus_plus_int($f35(C,A,B)),one_one_int)))| -hBOOL(hAPP_int_bool(A,hAPP_int_int(minus_minus_int($f36(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(A,C)).
% 11.49/11.41 ** KEPT (pick-wt=24): 257 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),A)).
% 11.49/11.41 ** KEPT (pick-wt=21): 258 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),$f37(A,B)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f37(A,B)),one_one_int)))|hBOOL(hAPP_int_bool(B,A)).
% 11.49/11.41 ** KEPT (pick-wt=10): 259 [] -hBOOL(hAPP_int_bool(A,$f37(B,A)))|hBOOL(hAPP_int_bool(A,B)).
% 11.49/11.41 ** KEPT (pick-wt=45): 260 [] -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))|hAPP_int_int(plus_plus_int(D),E)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),A)),hAPP_int_int(times_times_int(E),C))),B)).
% 11.49/11.41 ** KEPT (pick-wt=45): 261 [] -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))|hAPP_real_real(plus_plus_real(D),E)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(D),A)),hAPP_real_real(times_times_real(E),C))),B)).
% 11.49/11.41 ** KEPT (pick-wt=18): 262 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),archim856651990g_real(B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(number267125858f_real(A)),one_one_real)),B)).
% 11.49/11.41 ** KEPT (pick-wt=18): 263 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),archim856651990g_real(B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(minus_minus_real(number267125858f_real(A)),one_one_real)),B)).
% 11.49/11.41 ** KEPT (pick-wt=18): 264 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(A)),number_number_of_int(B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),hAPP_real_real(minus_minus_real(number267125858f_real(B)),one_one_real))).
% 11.49/11.41 ** KEPT (pick-wt=18): 265 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(A)),number_number_of_int(B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),hAPP_real_real(minus_minus_real(number267125858f_real(B)),one_one_real))).
% 11.49/11.41 ** KEPT (pick-wt=13): 266 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 11.49/11.41 ** KEPT (pick-wt=13): 267 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 11.49/11.41 ** KEPT (pick-wt=6): 268 [] zero_zero_int!=A|A=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=6): 269 [] zero_zero_int=A|A!=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=6): 270 [] zero_zero_real!=A|A=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=6): 271 [] zero_zero_real=A|A!=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=6): 272 [] zero_zero_nat!=A|A=zero_zero_nat.
% 11.49/11.41 ** KEPT (pick-wt=6): 273 [] zero_zero_nat=A|A!=zero_zero_nat.
% 11.49/11.41 ** KEPT (pick-wt=13): 274 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(A)),zero_zero_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 11.49/11.41 ** KEPT (pick-wt=13): 275 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(A)),zero_zero_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 11.49/11.41 ** KEPT (pick-wt=13): 276 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(A)),one_one_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 11.49/11.41 ** KEPT (pick-wt=13): 277 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(A)),one_one_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 11.49/11.41 ** KEPT (pick-wt=13): 278 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 11.49/11.41 ** KEPT (pick-wt=13): 279 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 11.49/11.41 ** KEPT (pick-wt=12): 280 [] hAPP_real_real(times_times_real(A),B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 281 [] hAPP_real_real(times_times_real(A),B)=zero_zero_real|A!=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 282 [] hAPP_real_real(times_times_real(A),B)=zero_zero_real|B!=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=12): 283 [] hAPP_int_int(times_times_int(A),B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 284 [] hAPP_int_int(times_times_int(A),B)=zero_zero_int|A!=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 285 [] hAPP_int_int(times_times_int(A),B)=zero_zero_int|B!=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=12): 286 [] A=zero_zero_nat|B=zero_zero_nat|hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat.
% 11.49/11.41 Following clause subsumed by 280 during input processing: 0 [] A=zero_zero_real|B=zero_zero_real|hAPP_real_real(times_times_real(A),B)!=zero_zero_real.
% 11.49/11.41 Following clause subsumed by 283 during input processing: 0 [] A=zero_zero_int|B=zero_zero_int|hAPP_int_int(times_times_int(A),B)!=zero_zero_int.
% 11.49/11.41 Following clause subsumed by 286 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 11.49/11.41 Following clause subsumed by 280 during input processing: 0 [] hAPP_real_real(times_times_real(A),B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 11.49/11.41 Following clause subsumed by 283 during input processing: 0 [] hAPP_int_int(times_times_int(A),B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 288 [copy,287,flip.1] hAPP_nat_nat(plus_plus_nat(A),B)!=A|B=zero_zero_nat.
% 11.49/11.41 ** KEPT (pick-wt=9): 290 [copy,289,flip.1] hAPP_nat_nat(plus_plus_nat(A),B)=A|B!=zero_zero_nat.
% 11.49/11.41 ** KEPT (pick-wt=9): 292 [copy,291,flip.1] hAPP_real_real(plus_plus_real(A),B)!=A|B=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 294 [copy,293,flip.1] hAPP_real_real(plus_plus_real(A),B)=A|B!=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 296 [copy,295,flip.1] hAPP_int_int(plus_plus_int(A),B)!=A|B=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 298 [copy,297,flip.1] hAPP_int_int(plus_plus_int(A),B)=A|B!=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 300 [copy,299,flip.1] hAPP_real_real(plus_plus_real(A),A)!=zero_zero_real|A=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 302 [copy,301,flip.1] hAPP_real_real(plus_plus_real(A),A)=zero_zero_real|A!=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 304 [copy,303,flip.1] hAPP_int_int(plus_plus_int(A),A)!=zero_zero_int|A=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 306 [copy,305,flip.1] hAPP_int_int(plus_plus_int(A),A)=zero_zero_int|A!=zero_zero_int.
% 11.49/11.41 Following clause subsumed by 300 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),A)!=zero_zero_real|A=zero_zero_real.
% 11.49/11.41 Following clause subsumed by 302 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),A)=zero_zero_real|A!=zero_zero_real.
% 11.49/11.41 Following clause subsumed by 304 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),A)!=zero_zero_int|A=zero_zero_int.
% 11.49/11.41 Following clause subsumed by 306 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),A)=zero_zero_int|A!=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=3): 308 [copy,307,flip.1] zero_zero_nat!=one_one_nat.
% 11.49/11.41 ** KEPT (pick-wt=3): 310 [copy,309,flip.1] zero_zero_real!=one_one_real.
% 11.49/11.41 ** KEPT (pick-wt=3): 312 [copy,311,flip.1] zero_zero_int!=one_one_int.
% 11.49/11.41 Following clause subsumed by 308 during input processing: 0 [] zero_zero_nat!=one_one_nat.
% 11.49/11.41 Following clause subsumed by 310 during input processing: 0 [] zero_zero_real!=one_one_real.
% 11.49/11.41 Following clause subsumed by 312 during input processing: 0 [] zero_zero_int!=one_one_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 313 [] A!=B|hAPP_real_real(minus_minus_real(A),B)=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 314 [] A=B|hAPP_real_real(minus_minus_real(A),B)!=zero_zero_real.
% 11.49/11.41 ** KEPT (pick-wt=9): 315 [] A!=B|hAPP_int_int(minus_minus_int(A),B)=zero_zero_int.
% 11.49/11.41 ** KEPT (pick-wt=9): 316 [] A=B|hAPP_int_int(minus_minus_int(A),B)!=zero_zero_int.
% 11.49/11.41 Following clause subsumed by 314 during input processing: 0 [] hAPP_real_real(minus_minus_real(A),B)!=zero_zero_real|A=B.
% 11.49/11.41 Following clause subsumed by 313 during input processing: 0 [] hAPP_real_real(minus_minus_real(A),B)=zero_zero_real|A!=B.
% 11.49/11.41 Following clause subsumed by 316 during input processing: 0 [] hAPP_int_int(minus_minus_int(A),B)!=zero_zero_int|A=B.
% 11.49/11.41 Following clause subsumed by 315 during input processing: 0 [] hAPP_int_int(minus_minus_int(A),B)=zero_zero_int|A!=B.
% 11.49/11.41 Following clause subsumed by 312 during input processing: 0 [] zero_zero_int!=one_one_int.
% 11.49/11.41 ** KEPT (pick-wt=14): 317 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(A)),archim856651990g_real(B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 11.49/11.41 ** KEPT (pick-wt=14): 318 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(A)),archim856651990g_real(B))).
% 11.49/11.41 ** KEPT (pick-wt=21): 319 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 320 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 321 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 322 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 323 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 324 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 325 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 326 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 327 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 328 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 329 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 330 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 331 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 332 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 333 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 334 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 335 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 336 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 337 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 338 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 339 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 340 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 341 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 342 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_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)).
% 11.49/11.41 ** KEPT (pick-wt=21): 343 [] -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),hAPP_nat_nat(times_times_nat(A),B))).
% 11.49/11.41 Following clause subsumed by 323 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),hAPP_real_real(times_times_real(A),B))).
% 11.49/11.41 Following clause subsumed by 329 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),hAPP_int_int(times_times_int(A),B))).
% 11.49/11.41 ** KEPT (pick-wt=21): 344 [] -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,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 11.49/11.41 Following clause subsumed by 335 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,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 11.49/11.41 Following clause subsumed by 341 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,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 11.49/11.41 ** KEPT (pick-wt=21): 345 [] -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,hAPP_nat_nat(times_times_nat(B),A)),zero_zero_nat)).
% 11.49/11.41 Following clause subsumed by 336 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,hAPP_real_real(times_times_real(B),A)),zero_zero_real)).
% 11.49/11.41 Following clause subsumed by 342 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,hAPP_int_int(times_times_int(B),A)),zero_zero_int)).
% 11.49/11.41 Following clause subsumed by 345 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,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 11.49/11.41 Following clause subsumed by 336 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,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 11.49/11.41 Following clause subsumed by 342 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,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 11.49/11.41 Following clause subsumed by 324 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),hAPP_real_real(times_times_real(A),B))).
% 11.49/11.41 Following clause subsumed by 330 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),hAPP_int_int(times_times_int(A),B))).
% 11.49/11.41 ** KEPT (pick-wt=24): 346 [] -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,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))).
% 11.49/11.41 ** KEPT (pick-wt=24): 347 [] -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,hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C))).
% 11.49/11.41 ** KEPT (pick-wt=24): 348 [] -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,hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C))).
% 11.49/11.41 ** KEPT (pick-wt=24): 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,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 11.49/11.41 ** KEPT (pick-wt=24): 350 [] -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,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 11.49/11.41 ** KEPT (pick-wt=24): 351 [] -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,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 11.49/11.41 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,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 11.49/11.41 Following clause subsumed by 350 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,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 11.49/11.41 Following clause subsumed by 351 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,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 11.49/11.41 ** KEPT (pick-wt=24): 352 [] -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,hAPP_real_real(times_times_real(B),C)),hAPP_real_real(times_times_real(A),C))).
% 11.49/11.41 ** KEPT (pick-wt=24): 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,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(B),C)),hAPP_int_int(times_times_int(A),C))).
% 11.49/11.41 ** KEPT (pick-wt=24): 354 [] -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,hAPP_real_real(times_times_real(C),B)),hAPP_real_real(times_times_real(C),A))).
% 11.49/11.41 ** KEPT (pick-wt=24): 355 [] -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,hAPP_int_int(times_times_int(C),B)),hAPP_int_int(times_times_int(C),A))).
% 11.49/11.41 ** KEPT (pick-wt=36): 356 [] -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,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))).
% 11.49/11.41 ** KEPT (pick-wt=36): 357 [] -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,hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),D))).
% 11.49/11.41 ** KEPT (pick-wt=36): 358 [] -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,hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),D))).
% 11.49/11.41 ** KEPT (pick-wt=36): 359 [] -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,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))).
% 11.49/11.41 ** KEPT (pick-wt=36): 360 [] -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,hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),D))).
% 11.49/11.41 ** KEPT (pick-wt=36): 361 [] -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,hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),D))).
% 11.49/11.41 Following clause subsumed by 323 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),hAPP_real_real(times_times_real(A),B))).
% 11.49/11.41 Following clause subsumed by 324 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),hAPP_real_real(times_times_real(A),B))).
% 11.49/11.41 Following clause subsumed by 329 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),hAPP_int_int(times_times_int(A),B))).
% 11.49/11.41 Following clause subsumed by 330 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),hAPP_int_int(times_times_int(A),B))).
% 11.49/11.41 Following clause subsumed by 344 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,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 11.49/11.41 Following clause subsumed by 345 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,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 11.49/11.41 Following clause subsumed by 335 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,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 11.49/11.41 Following clause subsumed by 336 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,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 11.49/11.41 Following clause subsumed by 341 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,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 11.49/11.41 Following clause subsumed by 342 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,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 11.49/11.41 ** KEPT (pick-wt=9): 362 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),A)),zero_zero_real)).
% 11.49/11.41 ** KEPT (pick-wt=9): 363 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),A)),zero_zero_int)).
% 11.49/11.41 ** KEPT (pick-wt=24): 364 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 365 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 366 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 367 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 368 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 369 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 370 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 371 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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)).
% 11.49/11.41 ** KEPT (pick-wt=24): 372 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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)).
% 11.53/11.41 ** KEPT (pick-wt=24): 373 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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)).
% 11.53/11.41 ** KEPT (pick-wt=24): 374 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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)).
% 11.53/11.41 ** KEPT (pick-wt=24): 375 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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)).
% 11.53/11.41 ** KEPT (pick-wt=24): 376 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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_real,A),zero_zero_real)).
% 11.53/11.41 ** KEPT (pick-wt=24): 377 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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_real,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 378 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 11.53/11.41 ** KEPT (pick-wt=24): 379 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 380 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(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_real,B),C)).
% 11.53/11.41 ** KEPT (pick-wt=24): 381 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 382 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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_int,A),zero_zero_int)).
% 11.53/11.41 ** KEPT (pick-wt=24): 383 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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_int,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 384 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(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),zero_zero_int)).
% 11.53/11.41 ** KEPT (pick-wt=24): 385 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 386 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(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_int,B),C)).
% 11.53/11.41 ** KEPT (pick-wt=24): 387 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 388 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.53/11.41 Following clause subsumed by 380 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,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.53/11.41 ** KEPT (pick-wt=24): 389 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 11.53/11.41 Following clause subsumed by 386 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,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 11.53/11.41 ** KEPT (pick-wt=21): 390 [] -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),hAPP_nat_nat(times_times_nat(A),B))).
% 11.53/11.41 ** KEPT (pick-wt=21): 391 [] -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),hAPP_real_real(times_times_real(A),B))).
% 11.53/11.41 ** KEPT (pick-wt=21): 392 [] -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),hAPP_int_int(times_times_int(A),B))).
% 11.53/11.41 ** KEPT (pick-wt=21): 393 [] -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),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 11.53/11.41 ** KEPT (pick-wt=21): 394 [] -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),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 11.53/11.41 ** KEPT (pick-wt=21): 395 [] -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),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 11.53/11.41 ** KEPT (pick-wt=21): 396 [] -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),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(B),A)),zero_zero_nat)).
% 11.53/11.41 ** KEPT (pick-wt=21): 397 [] -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),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),A)),zero_zero_real)).
% 11.53/11.41 ** KEPT (pick-wt=21): 398 [] -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),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B),A)),zero_zero_int)).
% 11.53/11.41 ** KEPT (pick-wt=21): 399 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_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)).
% 11.53/11.41 ** KEPT (pick-wt=21): 400 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A),B)))| -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)).
% 11.53/11.41 ** KEPT (pick-wt=21): 401 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A),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),B)).
% 11.53/11.41 ** KEPT (pick-wt=21): 402 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_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_nat,zero_zero_nat),A)).
% 11.53/11.41 ** KEPT (pick-wt=21): 403 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A),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,zero_zero_real),A)).
% 11.53/11.41 ** KEPT (pick-wt=21): 404 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_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_int,zero_zero_int),A)).
% 11.53/11.41 ** KEPT (pick-wt=24): 405 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.53/11.41 Following clause subsumed by 381 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 11.53/11.41 ** KEPT (pick-wt=24): 406 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.53/11.41 Following clause subsumed by 387 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 11.53/11.41 Following clause subsumed by 396 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 11.53/11.41 Following clause subsumed by 397 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 11.53/11.42 Following clause subsumed by 398 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 11.53/11.42 ** KEPT (pick-wt=21): 407 [] -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,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 11.53/11.42 ** KEPT (pick-wt=21): 408 [] -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,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 11.53/11.42 ** KEPT (pick-wt=24): 409 [] -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,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))).
% 11.53/11.42 Following clause subsumed by 368 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C))).
% 11.53/11.42 Following clause subsumed by 374 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,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C))).
% 11.53/11.42 ** KEPT (pick-wt=24): 410 [] -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,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 11.53/11.42 Following clause subsumed by 380 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 11.53/11.42 Following clause subsumed by 386 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,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 11.53/11.42 Following clause subsumed by 410 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,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 11.53/11.42 Following clause subsumed by 380 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 11.53/11.42 Following clause subsumed by 386 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,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 11.53/11.42 Following clause subsumed by 369 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),C)),hAPP_real_real(times_times_real(A),C))).
% 11.53/11.42 Following clause subsumed by 375 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,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B),C)),hAPP_int_int(times_times_int(A),C))).
% 11.53/11.42 Following clause subsumed by 381 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C),B)),hAPP_real_real(times_times_real(C),A))).
% 11.53/11.42 Following clause subsumed by 387 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,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),B)),hAPP_int_int(times_times_int(C),A))).
% 11.53/11.42 ** KEPT (pick-wt=15): 411 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 412 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 413 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 414 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 415 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 11.53/11.42 ** KEPT (pick-wt=15): 416 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 11.53/11.42 ** KEPT (pick-wt=15): 417 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 11.53/11.42 ** KEPT (pick-wt=15): 418 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 11.53/11.42 ** KEPT (pick-wt=21): 419 [] -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),hAPP_nat_nat(plus_plus_nat(A),B))).
% 11.53/11.42 ** KEPT (pick-wt=21): 420 [] -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),hAPP_real_real(plus_plus_real(A),B))).
% 11.53/11.42 ** KEPT (pick-wt=21): 421 [] -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),hAPP_int_int(plus_plus_int(A),B))).
% 11.53/11.42 ** KEPT (pick-wt=21): 422 [] -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))|hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 11.53/11.42 ** KEPT (pick-wt=21): 423 [] -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))|hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|B=zero_zero_nat.
% 11.53/11.42 ** KEPT (pick-wt=24): 424 [] -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))|hAPP_nat_nat(plus_plus_nat(A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 11.53/11.42 ** KEPT (pick-wt=21): 425 [] -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))|hAPP_real_real(plus_plus_real(A),B)!=zero_zero_real|A=zero_zero_real.
% 11.53/11.42 ** KEPT (pick-wt=21): 426 [] -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))|hAPP_real_real(plus_plus_real(A),B)!=zero_zero_real|B=zero_zero_real.
% 11.53/11.42 ** KEPT (pick-wt=24): 427 [] -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))|hAPP_real_real(plus_plus_real(A),B)=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 11.53/11.42 ** KEPT (pick-wt=21): 428 [] -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))|hAPP_int_int(plus_plus_int(A),B)!=zero_zero_int|A=zero_zero_int.
% 11.53/11.42 ** KEPT (pick-wt=21): 429 [] -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))|hAPP_int_int(plus_plus_int(A),B)!=zero_zero_int|B=zero_zero_int.
% 11.53/11.42 ** KEPT (pick-wt=24): 430 [] -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))|hAPP_int_int(plus_plus_int(A),B)=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int.
% 11.53/11.42 ** KEPT (pick-wt=21): 431 [] -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),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),hAPP_nat_nat(plus_plus_nat(A),C))).
% 11.53/11.42 ** KEPT (pick-wt=21): 432 [] -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),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),hAPP_real_real(plus_plus_real(A),C))).
% 11.53/11.42 ** KEPT (pick-wt=21): 433 [] -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),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_int_int(plus_plus_int(A),C))).
% 11.53/11.42 ** KEPT (pick-wt=21): 434 [] -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),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),hAPP_nat_nat(plus_plus_nat(C),A))).
% 11.53/11.42 ** KEPT (pick-wt=21): 435 [] -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),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),hAPP_real_real(plus_plus_real(C),A))).
% 11.53/11.42 ** KEPT (pick-wt=21): 436 [] -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),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_int_int(plus_plus_int(C),A))).
% 11.53/11.42 ** KEPT (pick-wt=21): 437 [] -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,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),zero_zero_nat)).
% 11.53/11.42 ** KEPT (pick-wt=21): 438 [] -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,hAPP_real_real(plus_plus_real(A),B)),zero_zero_real)).
% 11.53/11.42 ** KEPT (pick-wt=21): 439 [] -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,hAPP_int_int(plus_plus_int(A),B)),zero_zero_int)).
% 11.53/11.42 ** KEPT (pick-wt=15): 440 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 441 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 442 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 11.53/11.42 ** KEPT (pick-wt=15): 443 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 11.53/11.42 ** KEPT (pick-wt=27): 444 [] -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=hAPP_int_int(minus_minus_int(B),one_one_int)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(B),one_one_int))).
% 11.53/11.42 Following clause subsumed by 386 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,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 11.53/11.42 ** KEPT (pick-wt=9): 445 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),A)),A)!=zero_zero_int.
% 11.53/11.42 ** KEPT (pick-wt=15): 446 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(A),B)),zero_zero_int)).
% 11.53/11.42 ** KEPT (pick-wt=15): 447 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(A),B)),zero_zero_int)).
% 11.53/11.42 ** KEPT (pick-wt=12): 448 [] -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)).
% 11.53/11.42 ** KEPT (pick-wt=12): 449 [] 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)).
% 11.53/11.42 ** KEPT (pick-wt=15): 450 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_int_int(times_times_int(A),B)!=one_one_int|A=one_one_int.
% 11.53/11.42 ** KEPT (pick-wt=15): 451 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_int_int(times_times_int(A),B)!=one_one_int|B=one_one_int.
% 11.53/11.42 ** KEPT (pick-wt=18): 452 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_int_int(times_times_int(A),B)=one_one_int|A!=one_one_int|B!=one_one_int.
% 11.53/11.42 ** KEPT (pick-wt=18): 453 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=18): 454 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=15): 455 [] -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),hAPP_int_int(plus_plus_int(one_one_int),A))).
% 11.53/11.42 ** KEPT (pick-wt=27): 457 [copy,456,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_int_int(plus_plus_int(B),hAPP_int_int(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)).
% 11.53/11.42 ** KEPT (pick-wt=27): 459 [copy,458,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_int_int(plus_plus_int(B),hAPP_int_int(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)).
% 11.53/11.42 ** KEPT (pick-wt=57): 460 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),E)),F)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=42): 461 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=57): 462 [] hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),E)),F)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=42): 463 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),C)),hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=30): 464 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=30): 465 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_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)).
% 11.53/11.42 ** KEPT (pick-wt=27): 466 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|xzgcd(B,A)!=produc282740534nt_int(C,product_Pair_int_int(D,E))|C=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(D),B)),hAPP_int_int(times_times_int(E),A)).
% 11.53/11.42 ** KEPT (pick-wt=57): 467 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|xzgcda(B,C,D,A,E,F,G,H)!=produc282740534nt_int(I,product_Pair_int_int(J,K))|D!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(E),B)),hAPP_int_int(times_times_int(G),C))|A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(F),B)),hAPP_int_int(times_times_int(H),C))|I=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(J),B)),hAPP_int_int(times_times_int(K),C)).
% 11.53/11.42 Following clause subsumed by 433 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),hAPP_int_int(plus_plus_int(A),B))).
% 11.53/11.42 Following clause subsumed by 329 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),hAPP_int_int(times_times_int(A),B))).
% 11.53/11.42 Following clause subsumed by 401 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),hAPP_int_int(times_times_int(A),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 11.53/11.42 ** KEPT (pick-wt=33): 468 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f38(C,B,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int(D),hAPP_int_int(times_times_int(C),A)))).
% 11.53/11.42 ** KEPT (pick-wt=36): 469 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f38(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,hAPP_int_int(minus_minus_int(D),hAPP_int_int(times_times_int(C),A)))).
% 11.53/11.42 ** KEPT (pick-wt=33): 470 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f39(C,B,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,hAPP_int_int(plus_plus_int(D),hAPP_int_int(times_times_int(C),A)))).
% 11.53/11.42 ** KEPT (pick-wt=36): 471 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(plus_plus_int($f39(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,hAPP_int_int(plus_plus_int(D),hAPP_int_int(times_times_int(C),A)))).
% 11.53/11.42 ** KEPT (pick-wt=35): 472 [] A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),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_int,B),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(C,D))).
% 11.53/11.42 ** KEPT (pick-wt=35): 473 [] A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),C)),D)| -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_int,D),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(C,D))).
% 11.53/11.42 Following clause subsumed by 208 during input processing: 0 [] A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),C)),D)| -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_int,D),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(C,D))).
% 11.53/11.42 ** KEPT (pick-wt=14): 474 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|nat_tsub(B,A)=hAPP_int_int(minus_minus_int(B),A).
% 11.53/11.42 ** KEPT (pick-wt=14): 475 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(B,C)))|A=zero_zero_int|C=zero_zero_int.
% 11.53/11.42 ** KEPT (pick-wt=22): 476 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(C,D)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(E,F)))|B=zero_zero_int|C=E.
% 11.53/11.42 ** KEPT (pick-wt=22): 477 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(C,D)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(E,F)))|B=zero_zero_int|D=F.
% 11.53/11.42 ** KEPT (pick-wt=14): 478 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(B,C)))|A=zero_zero_int|B=one_one_int.
% 11.53/11.42 ** KEPT (pick-wt=20): 479 [] -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),nat_tsub(A,B))).
% 11.53/11.42 Following clause subsumed by 474 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|nat_tsub(B,A)=hAPP_int_int(minus_minus_int(B),A).
% 11.53/11.42 ** KEPT (pick-wt=50): 480 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f41(C,B,A)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f41(C,B,A)),hAPP_int_int(times_times_int($f40(C,B,A)),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f42(C,B,A,D)),D))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f43(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=56): 481 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f41(C,B,A)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f41(C,B,A)),hAPP_int_int(times_times_int($f40(C,B,A)),A))))|hBOOL(hAPP_int_bool(C,$f42(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f42(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f43(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=52): 483 [copy,482,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f41(C,B,A)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f41(C,B,A)),hAPP_int_int(times_times_int($f40(C,B,A)),A))))| -hBOOL(hAPP_int_bool(C,$f42(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f42(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f43(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=46): 485 [copy,484,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f41(C,B,A)))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f41(C,B,A)),hAPP_int_int(times_times_int($f40(C,B,A)),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f42(C,B,A,D)),D))|hBOOL(hAPP_int_bool(C,$f43(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=52): 487 [copy,486,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f41(C,B,A)))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f41(C,B,A)),hAPP_int_int(times_times_int($f40(C,B,A)),A))))|hBOOL(hAPP_int_bool(C,$f42(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f42(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f43(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=52): 489 [copy,488,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f41(C,B,A)))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f41(C,B,A)),hAPP_int_int(times_times_int($f40(C,B,A)),A))))| -hBOOL(hAPP_int_bool(C,$f42(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f42(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f43(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=50): 490 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f45(C,B,A)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f45(C,B,A)),hAPP_int_int(times_times_int($f44(C,B,A)),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,D),$f46(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f47(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=56): 491 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f45(C,B,A)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f45(C,B,A)),hAPP_int_int(times_times_int($f44(C,B,A)),A))))|hBOOL(hAPP_int_bool(C,$f46(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f46(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f47(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=52): 493 [copy,492,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f45(C,B,A)))|hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f45(C,B,A)),hAPP_int_int(times_times_int($f44(C,B,A)),A))))| -hBOOL(hAPP_int_bool(C,$f46(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f46(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f47(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=46): 495 [copy,494,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f45(C,B,A)))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f45(C,B,A)),hAPP_int_int(times_times_int($f44(C,B,A)),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,D),$f46(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f47(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=52): 497 [copy,496,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f45(C,B,A)))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f45(C,B,A)),hAPP_int_int(times_times_int($f44(C,B,A)),A))))|hBOOL(hAPP_int_bool(C,$f46(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f46(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f47(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=52): 499 [copy,498,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f45(C,B,A)))| -hBOOL(hAPP_int_bool(B,hAPP_int_int(minus_minus_int($f45(C,B,A)),hAPP_int_int(times_times_int($f44(C,B,A)),A))))| -hBOOL(hAPP_int_bool(C,$f46(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f46(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f47(C,B,A))).
% 11.53/11.42 ** KEPT (pick-wt=10): 500 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))|zfact(A)=one_one_int.
% 11.53/11.42 ** KEPT (pick-wt=27): 501 [] -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_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(times_times_int(archim1246769320r_real(A)),archim1246769320r_real(B))),archim1246769320r_real(hAPP_real_real(times_times_real(A),B)))).
% 11.53/11.42 ** KEPT (pick-wt=20): 502 [] -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),B))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),posDivAlg(A,B))).
% 11.53/11.42 ** KEPT (pick-wt=25): 503 [] -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),hAPP_int_int(plus_plus_int(C),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(abs_abs_int(hAPP_int_int(minus_minus_int(C),B))),one_one_int)),A)))).
% 11.53/11.42 ** KEPT (pick-wt=25): 504 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(B),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(abs_abs_int(hAPP_int_int(minus_minus_int(B),C))),one_one_int)),A))),C)).
% 11.53/11.42 Following clause subsumed by 150 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,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 11.53/11.42 Following clause subsumed by 198 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,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 11.53/11.42 Following clause subsumed by 182 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,B),A))|A=B.
% 11.53/11.42 Following clause subsumed by 115 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.
% 11.53/11.42 Following clause subsumed by 173 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)).
% 11.53/11.42 Following clause subsumed by 180 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A!=B.
% 11.53/11.42 Following clause subsumed by 173 during input processing: 0 [] -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)).
% 11.53/11.42 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 11.53/11.42 Following clause subsumed by 115 during input processing: 0 [] 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.
% 11.53/11.42 ** KEPT (pick-wt=15): 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,hAPP_real_real(minus_minus_real(A),B)),zero_zero_real)).
% 11.53/11.42 ** KEPT (pick-wt=15): 506 [] 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,hAPP_real_real(minus_minus_real(A),B)),zero_zero_real)).
% 11.53/11.42 ** KEPT (pick-wt=15): 507 [] A=zero_zero_real|hAPP_real_real(times_times_real(A),B)!=hAPP_real_real(times_times_real(A),C)|B=C.
% 11.53/11.42 ** KEPT (pick-wt=15): 508 [] A=zero_zero_real|hAPP_real_real(times_times_real(A),B)=hAPP_real_real(times_times_real(A),C)|B!=C.
% 11.53/11.42 ** KEPT (pick-wt=15): 509 [] A=zero_zero_real|hAPP_real_real(times_times_real(B),A)!=hAPP_real_real(times_times_real(C),A)|B=C.
% 11.53/11.42 ** KEPT (pick-wt=15): 510 [] A=zero_zero_real|hAPP_real_real(times_times_real(B),A)=hAPP_real_real(times_times_real(C),A)|B!=C.
% 11.53/11.42 ** KEPT (pick-wt=15): 511 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),A)),hAPP_real_real(times_times_real(B),B))!=zero_zero_real|A=zero_zero_real.
% 11.53/11.42 ** KEPT (pick-wt=15): 512 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),A)),hAPP_real_real(times_times_real(B),B))!=zero_zero_real|B=zero_zero_real.
% 11.53/11.42 ** KEPT (pick-wt=18): 513 [] hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),A)),hAPP_real_real(times_times_real(B),B))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 11.53/11.42 Following clause subsumed by 310 during input processing: 0 [] zero_zero_real!=one_one_real.
% 11.53/11.42 ** KEPT (pick-wt=24): 514 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.53/11.42 Following clause subsumed by 368 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,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 11.53/11.42 Following clause subsumed by 391 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),hAPP_real_real(times_times_real(A),B))).
% 11.53/11.43 Following clause subsumed by 380 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,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C))).
% 11.53/11.43 ** KEPT (pick-wt=24): 515 [] -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,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.53/11.43 ** KEPT (pick-wt=24): 516 [] -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,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.53/11.43 ** KEPT (pick-wt=24): 517 [] -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,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.53/11.43 ** KEPT (pick-wt=24): 518 [] -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,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 11.53/11.43 ** KEPT (pick-wt=11): 519 [] abs_abs_int(hAPP_int_int(times_times_int(A),B))!=one_one_int|abs_abs_int(A)=one_one_int.
% 11.53/11.43 ** KEPT (pick-wt=10): 520 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),one_one_int))|A=zero_zero_int.
% 11.53/11.43 ** KEPT (pick-wt=10): 521 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),one_one_int))|A!=zero_zero_int.
% 11.53/11.43 ** KEPT (pick-wt=11): 522 [] A!=zero_zero_int|pdivmod(B,A)=product_Pair_int_int(zero_zero_int,abs_abs_int(B)).
% 11.53/11.43 ** KEPT (pick-wt=42): 523 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),$f48(B,C,D,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(C,A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(C,D)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),$f49(B,C,D,A))).
% 11.53/11.43 ** KEPT (pick-wt=42): 524 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),$f48(B,C,D,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(C,A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(C,D)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f49(B,C,D,A)),D)).
% 11.53/11.43 ** KEPT (pick-wt=41): 525 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),$f48(B,C,D,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(C,A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(C,D)))|hAPP_nat_int(C,$f49(B,C,D,A))=B.
% 11.53/11.43 ** KEPT (pick-wt=42): 526 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f48(A,B,C,D)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,D)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,D),$f49(A,B,C,D))).
% 11.53/11.43 ** KEPT (pick-wt=42): 527 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f48(A,B,C,D)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,D)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f49(A,B,C,D)),C)).
% 11.53/11.43 ** KEPT (pick-wt=41): 528 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f48(A,B,C,D)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,D)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hAPP_nat_int(B,$f49(A,B,C,D))=A.
% 11.53/11.43 ** KEPT (pick-wt=57): 529 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f48(B,A,C,D)),one_one_nat))),hAPP_nat_int(A,$f48(B,A,C,D))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,D)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,D),$f49(B,A,C,D))).
% 11.53/11.43 ** KEPT (pick-wt=57): 530 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f48(B,A,C,D)),one_one_nat))),hAPP_nat_int(A,$f48(B,A,C,D))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,D)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f49(B,A,C,D)),C)).
% 11.53/11.43 ** KEPT (pick-wt=56): 531 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f48(B,A,C,D)),one_one_nat))),hAPP_nat_int(A,$f48(B,A,C,D))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,D)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hAPP_nat_int(A,$f49(B,A,C,D))=B.
% 11.53/11.43 ** KEPT (pick-wt=34): 532 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f50(A,B,C)),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,zero_zero_nat)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f51(A,B,C)),C)).
% 11.53/11.43 ** KEPT (pick-wt=33): 533 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f50(A,B,C)),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,zero_zero_nat)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hAPP_nat_int(B,$f51(A,B,C))=A.
% 11.53/11.43 ** KEPT (pick-wt=48): 534 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f50(B,A,C)),one_one_nat))),hAPP_nat_int(A,$f50(B,A,C))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,zero_zero_nat)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f51(B,A,C)),C)).
% 11.53/11.43 ** KEPT (pick-wt=47): 535 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f50(B,A,C)),one_one_nat))),hAPP_nat_int(A,$f50(B,A,C))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,zero_zero_nat)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hAPP_nat_int(A,$f51(B,A,C))=B.
% 11.53/11.43 ** KEPT (pick-wt=34): 536 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f52(A,B,C)),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,zero_zero_nat)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f53(A,B,C)),C)).
% 11.53/11.43 ** KEPT (pick-wt=33): 537 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f52(A,B,C)),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(B,zero_zero_nat)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(B,C)))|hAPP_nat_int(B,$f53(A,B,C))=A.
% 11.53/11.43 ** KEPT (pick-wt=48): 538 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f52(B,A,C)),one_one_nat))),hAPP_nat_int(A,$f52(B,A,C))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,zero_zero_nat)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f53(B,A,C)),C)).
% 11.53/11.43 ** KEPT (pick-wt=47): 539 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(A,hAPP_nat_nat(plus_plus_nat($f52(B,A,C)),one_one_nat))),hAPP_nat_int(A,$f52(B,A,C))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,zero_zero_nat)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hAPP_nat_int(A,$f53(B,A,C))=B.
% 11.53/11.43 ** KEPT (pick-wt=9): 540 [] A!=zero_zero_nat|hAPP_nat_nat(times_times_nat(A),B)=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=10): 541 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(abs_abs_real(A)),one_one_real)),A)).
% 11.53/11.43 ** KEPT (pick-wt=6): 542 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 11.53/11.43 ** KEPT (pick-wt=23): 543 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(C)),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A),C)),B))),D)).
% 11.53/11.43 ** KEPT (pick-wt=39): 544 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E))).
% 11.53/11.43 ** KEPT (pick-wt=39): 545 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,D),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E))).
% 11.53/11.43 Following clause subsumed by 286 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 11.53/11.43 Following clause subsumed by 540 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)=zero_zero_nat|A!=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=9): 546 [] hAPP_nat_nat(times_times_nat(A),B)=zero_zero_nat|B!=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=15): 547 [] hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|A=zero_zero_nat|B=C.
% 11.53/11.43 ** KEPT (pick-wt=12): 548 [] hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|A!=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=12): 549 [] hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 11.53/11.43 Following clause subsumed by 547 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|B=C|A=zero_zero_nat.
% 11.53/11.43 Following clause subsumed by 549 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 11.53/11.43 Following clause subsumed by 548 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|A!=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=15): 550 [] hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(C),B)|A=C|B=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=12): 551 [] hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(C),B)|A!=C.
% 11.53/11.43 ** KEPT (pick-wt=12): 552 [] hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(C),B)|B!=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=15): 553 [] hAPP_nat_nat(minus_minus_nat(A),B)!=zero_zero_nat|hAPP_nat_nat(minus_minus_nat(B),A)!=zero_zero_nat|A=B.
% 11.53/11.43 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 11.53/11.43 Following clause subsumed by 207 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 11.53/11.43 Following clause subsumed by 202 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 11.53/11.43 Following clause subsumed by 206 during input processing: 0 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 11.53/11.43 Following clause subsumed by 207 during input processing: 0 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 11.53/11.43 Following clause subsumed by 202 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 11.53/11.43 ** KEPT (pick-wt=24): 554 [] -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,hAPP_nat_nat(minus_minus_nat(C),B)),hAPP_nat_nat(minus_minus_nat(C),A))).
% 11.53/11.43 ** KEPT (pick-wt=15): 555 [] -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(minus_minus_nat(A),C)),B)).
% 11.53/11.43 Following clause subsumed by 14 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 11.53/11.43 Following clause subsumed by 20 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(C),B)|A!=C.
% 11.53/11.43 Following clause subsumed by 17 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 11.53/11.43 Following clause subsumed by 23 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(A),C)|B!=C.
% 11.53/11.43 ** KEPT (pick-wt=18): 556 [] -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,hAPP_nat_nat(minus_minus_nat(C),B)),hAPP_nat_nat(minus_minus_nat(C),A))).
% 11.53/11.43 ** KEPT (pick-wt=18): 557 [] -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,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))).
% 11.53/11.43 ** KEPT (pick-wt=15): 558 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(B),hAPP_nat_nat(minus_minus_nat(B),A))=A.
% 11.53/11.43 ** KEPT (pick-wt=24): 559 [] -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))|hAPP_nat_nat(minus_minus_nat(B),A)!=hAPP_nat_nat(minus_minus_nat(C),A)|B=C.
% 11.53/11.43 ** KEPT (pick-wt=24): 560 [] -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))|hAPP_nat_nat(minus_minus_nat(B),A)=hAPP_nat_nat(minus_minus_nat(C),A)|B!=C.
% 11.53/11.43 ** KEPT (pick-wt=27): 561 [] -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))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A))=hAPP_nat_nat(minus_minus_nat(B),C).
% 11.53/11.43 ** KEPT (pick-wt=30): 562 [] -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,hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.53/11.43 Following clause subsumed by 557 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_e_q_nat,hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.53/11.43 Following clause subsumed by 183 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.53/11.43 Following clause subsumed by 199 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,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.53/11.43 Following clause subsumed by 185 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,B),A))|A=B.
% 11.53/11.43 ** KEPT (pick-wt=24): 563 [] -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,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))).
% 11.53/11.43 ** KEPT (pick-wt=18): 564 [] -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,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 11.53/11.43 ** KEPT (pick-wt=18): 565 [] -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,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))).
% 11.53/11.43 ** KEPT (pick-wt=9): 567 [copy,566,flip.1] hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 11.53/11.43 ** KEPT (pick-wt=9): 569 [copy,568,flip.1] hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 11.53/11.43 ** KEPT (pick-wt=12): 571 [copy,570,flip.1] hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 11.53/11.43 Following clause subsumed by 567 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 11.53/11.43 Following clause subsumed by 569 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 11.53/11.43 Following clause subsumed by 571 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 11.53/11.43 ** KEPT (pick-wt=15): 572 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 11.53/11.43 ** KEPT (pick-wt=15): 573 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 11.53/11.43 ** KEPT (pick-wt=21): 574 [] -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,hAPP_nat_nat(minus_minus_nat(B),A)),B)).
% 11.53/11.43 Following clause subsumed by 542 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 11.53/11.43 Following clause subsumed by 207 during input processing: 0 [] A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 11.53/11.43 Following clause subsumed by 542 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 11.53/11.43 ** KEPT (pick-wt=9): 575 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=zero_zero_nat.
% 11.53/11.43 Following clause subsumed by 410 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,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 11.53/11.43 Following clause subsumed by 409 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,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))).
% 11.53/11.43 ** KEPT (pick-wt=24): 576 [] -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(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.53/11.43 Following clause subsumed by 410 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,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.53/11.43 ** KEPT (pick-wt=18): 577 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|B=C.
% 11.53/11.43 Following clause subsumed by 549 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 11.53/11.43 ** KEPT (pick-wt=18): 578 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 11.53/11.43 ** KEPT (pick-wt=18): 579 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.53/11.43 Following clause subsumed by 409 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(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)).
% 11.53/11.43 ** KEPT (pick-wt=18): 580 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 11.53/11.43 ** KEPT (pick-wt=18): 581 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.53/11.43 Following clause subsumed by 410 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(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)).
% 11.53/11.43 ** KEPT (pick-wt=15): 582 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 11.53/11.43 ** KEPT (pick-wt=15): 583 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 11.53/11.43 Following clause subsumed by 390 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_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)).
% 11.53/11.43 ** KEPT (pick-wt=9): 584 [] hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=9): 585 [] hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|B=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=12): 586 [] hAPP_nat_nat(plus_plus_nat(A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 11.53/11.43 Following clause subsumed by 288 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=A|B=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=12): 587 [] hAPP_nat_nat(minus_minus_nat(A),B)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.53/11.43 ** KEPT (pick-wt=12): 588 [] hAPP_nat_nat(minus_minus_nat(A),B)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.53/11.43 Following clause subsumed by 588 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(A),B)=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=9): 589 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A=zero_zero_nat.
% 11.53/11.43 Following clause subsumed by 183 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 11.53/11.43 ** KEPT (pick-wt=9): 590 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),A)).
% 11.53/11.43 ** KEPT (pick-wt=9): 591 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),B)).
% 11.53/11.43 Following clause subsumed by 132 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.53/11.43 Following clause subsumed by 133 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.53/11.43 ** KEPT (pick-wt=15): 592 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(B),C))).
% 11.53/11.43 ** KEPT (pick-wt=15): 593 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 11.53/11.43 Following clause subsumed by 127 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(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 11.53/11.43 Following clause subsumed by 136 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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 11.53/11.43 ** KEPT (pick-wt=21): 594 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(plus_plus_nat(C),B)!=hAPP_nat_nat(plus_plus_nat(A),D)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D)).
% 11.53/11.43 ** KEPT (pick-wt=15): 595 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 11.53/11.43 ** KEPT (pick-wt=18): 596 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(minus_minus_nat(B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),B)).
% 11.53/11.43 ** KEPT (pick-wt=18): 597 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),B)).
% 11.53/11.43 ** KEPT (pick-wt=12): 599 [copy,598,flip.1] hAPP_nat_nat(times_times_nat(A),B)!=A|B=one_one_nat|A=zero_zero_nat.
% 11.53/11.43 Following clause subsumed by 174 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)).
% 11.53/11.43 Following clause subsumed by 183 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.53/11.43 Following clause subsumed by 116 during input processing: 0 [] -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)).
% 11.53/11.43 Following clause subsumed by 174 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)).
% 11.55/11.43 Following clause subsumed by 116 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.
% 11.55/11.43 Following clause subsumed by 174 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)).
% 11.55/11.43 Following clause subsumed by 183 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=B.
% 11.55/11.43 Following clause subsumed by 174 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)).
% 11.55/11.43 Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 11.55/11.43 Following clause subsumed by 116 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.
% 11.55/11.43 ** KEPT (pick-wt=30): 600 [] -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,hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.55/11.43 ** KEPT (pick-wt=30): 601 [] -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,hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 11.55/11.43 ** KEPT (pick-wt=24): 602 [] -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,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))).
% 11.55/11.43 ** KEPT (pick-wt=21): 603 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(C),hAPP_nat_nat(minus_minus_nat(B),A))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(C),A)),B).
% 11.55/11.43 ** KEPT (pick-wt=18): 604 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 11.55/11.43 ** KEPT (pick-wt=18): 605 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(A),B)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 11.55/11.43 ** KEPT (pick-wt=18): 606 [] -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),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(B),C)),A))).
% 11.55/11.43 ** KEPT (pick-wt=15): 607 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(minus_minus_nat(B),A))=B.
% 11.55/11.43 ** KEPT (pick-wt=21): 609 [copy,608,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(C),B)),A)=hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(minus_minus_nat(B),A)).
% 11.55/11.43 ** KEPT (pick-wt=24): 610 [] -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),hAPP_nat_nat(minus_minus_nat(B),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C),A)),B)).
% 11.55/11.43 ** KEPT (pick-wt=24): 611 [] -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),hAPP_nat_nat(minus_minus_nat(B),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C),A)),B)).
% 11.55/11.43 ** KEPT (pick-wt=15): 612 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(B),A)),A)=B.
% 11.55/11.43 ** KEPT (pick-wt=18): 613 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(B),A)!=C|B=hAPP_nat_nat(plus_plus_nat(C),A).
% 11.55/11.43 ** KEPT (pick-wt=18): 614 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(B),A)=C|B!=hAPP_nat_nat(plus_plus_nat(C),A).
% 11.55/11.43 Following clause subsumed by 609 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(C),B)),A)=hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(minus_minus_nat(B),A)).
% 11.55/11.43 ** KEPT (pick-wt=21): 615 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(B),C)),A).
% 11.55/11.43 ** KEPT (pick-wt=21): 616 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(B),C)),A)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C).
% 11.55/11.43 ** KEPT (pick-wt=33): 617 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E)|D=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E).
% 11.55/11.43 ** KEPT (pick-wt=33): 618 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E)|D!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E).
% 11.55/11.43 ** KEPT (pick-wt=36): 619 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E))=hAPP_nat_nat(minus_minus_nat(D),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E)).
% 11.55/11.43 ** KEPT (pick-wt=39): 620 [] -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,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,D),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E))).
% 11.55/11.43 ** KEPT (pick-wt=39): 621 [] -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,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),E)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,D),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),E))).
% 11.55/11.43 ** KEPT (pick-wt=33): 622 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)=E.
% 11.55/11.43 ** KEPT (pick-wt=33): 623 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)!=E.
% 11.55/11.43 ** KEPT (pick-wt=36): 625 [copy,624,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)),E)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)).
% 11.55/11.43 ** KEPT (pick-wt=39): 626 [] -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,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)),E)).
% 11.55/11.43 ** KEPT (pick-wt=39): 627 [] -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,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)),E)).
% 11.55/11.43 ** KEPT (pick-wt=15): 628 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.55/11.43 ** KEPT (pick-wt=15): 629 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.43 Following clause subsumed by 628 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.55/11.43 Following clause subsumed by 629 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.43 Following clause subsumed by 155 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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 11.55/11.43 Following clause subsumed by 146 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,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 11.55/11.43 ** KEPT (pick-wt=15): 630 [] -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),hAPP_nat_nat(plus_plus_nat(C),B))).
% 11.55/11.43 ** KEPT (pick-wt=15): 631 [] -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),hAPP_nat_nat(plus_plus_nat(B),C))).
% 11.55/11.43 Following clause subsumed by 151 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.43 Following clause subsumed by 152 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.43 ** KEPT (pick-wt=14): 633 [copy,632,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),$f54(A,B))=B.
% 11.55/11.43 ** KEPT (pick-wt=12): 634 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B!=hAPP_nat_nat(plus_plus_nat(A),C).
% 11.55/11.43 ** KEPT (pick-wt=12): 635 [] A!=hAPP_real_real(minus_minus_real(B),C)|B=hAPP_real_real(plus_plus_real(A),C).
% 11.55/11.43 ** KEPT (pick-wt=12): 636 [] A=hAPP_real_real(minus_minus_real(B),C)|B!=hAPP_real_real(plus_plus_real(A),C).
% 11.55/11.43 ** KEPT (pick-wt=17): 637 [] -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(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)).
% 11.55/11.43 ** KEPT (pick-wt=17): 638 [] -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))|B!=hAPP_nat_nat(plus_plus_nat(C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 11.55/11.43 ** KEPT (pick-wt=20): 639 [] hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))| -hBOOL(hAPP_nat_bool(A,$f55(A,B,C))).
% 11.55/11.43 ** KEPT (pick-wt=20): 641 [copy,640,flip.3] hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))|hAPP_nat_nat(plus_plus_nat(C),$f55(A,B,C))=B.
% 11.55/11.43 ** KEPT (pick-wt=18): 642 [] hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,$f55(A,B,C))).
% 11.55/11.43 Following clause subsumed by 637 during input processing: 0 [] -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 11.55/11.43 Following clause subsumed by 638 during input processing: 0 [] -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))|B!=hAPP_nat_nat(plus_plus_nat(C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 11.55/11.43 ** KEPT (pick-wt=20): 643 [] hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))| -hBOOL(hAPP_nat_bool(A,$f56(A,B,C))).
% 11.55/11.43 ** KEPT (pick-wt=20): 645 [copy,644,flip.3] hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))|hAPP_nat_nat(plus_plus_nat(C),$f56(A,B,C))=B.
% 11.55/11.43 ** KEPT (pick-wt=18): 646 [] hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,$f56(A,B,C))).
% 11.55/11.43 ** KEPT (pick-wt=21): 647 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_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)).
% 11.55/11.43 Following clause subsumed by 592 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 11.55/11.43 Following clause subsumed by 593 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 11.55/11.43 ** KEPT (pick-wt=24): 648 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(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)).
% 11.55/11.43 Following clause subsumed by 564 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.43 ** KEPT (pick-wt=24): 649 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(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)).
% 11.55/11.43 Following clause subsumed by 565 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 11.55/11.43 Following clause subsumed by 648 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_e_q_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.43 Following clause subsumed by 564 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_e_q_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 11.55/11.44 ** KEPT (pick-wt=39): 650 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)),E)).
% 11.55/11.44 ** KEPT (pick-wt=39): 651 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),C)),D)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),E)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(B),A)),C)),D)),E)).
% 11.55/11.44 ** KEPT (pick-wt=16): 652 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f57(B,A)),B)).
% 11.55/11.44 ** KEPT (pick-wt=20): 653 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),$f57(B,A)))| -hBOOL(hAPP_nat_bool(A,C)).
% 11.55/11.44 ** KEPT (pick-wt=17): 654 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(plus_plus_nat($f57(B,A)),one_one_nat))).
% 11.55/11.44 ** KEPT (pick-wt=20): 655 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,abs_abs_real(B)),hAPP_real_real(times_times_real(A),abs_abs_real(C))))|B=zero_zero_real.
% 11.55/11.44 ** KEPT (pick-wt=32): 656 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(A,$f59(B,C,A))),hAPP_nat_nat(A,$f58(B,C,A))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(A,B)),C)),hAPP_nat_nat(A,hAPP_nat_nat(plus_plus_nat(B),C)))).
% 11.55/11.44 ** KEPT (pick-wt=16): 657 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f60(B,A)),B)).
% 11.55/11.44 ** KEPT (pick-wt=20): 658 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),$f60(B,A)))| -hBOOL(hAPP_nat_bool(A,C)).
% 11.55/11.44 ** KEPT (pick-wt=14): 659 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(A,$f60(B,A))).
% 11.55/11.44 ** KEPT (pick-wt=14): 661 [copy,660,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),$f61(A,B))=B.
% 11.55/11.44 Following clause subsumed by 634 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B!=hAPP_nat_nat(plus_plus_nat(A),C).
% 11.55/11.44 ** KEPT (pick-wt=14): 662 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f62(A,B))).
% 11.55/11.44 ** KEPT (pick-wt=14): 663 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),$f62(A,B))=B.
% 11.55/11.44 ** KEPT (pick-wt=12): 664 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A),A)))|A!=zero_zero_real.
% 11.55/11.44 Following clause subsumed by 577 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|B=C.
% 11.55/11.44 ** KEPT (pick-wt=21): 665 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f63(C,A,B))).
% 11.55/11.44 ** KEPT (pick-wt=31): 666 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(B),D))),$f63(C,A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),D)).
% 11.55/11.44 ** KEPT (pick-wt=31): 667 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(B),D))),$f63(C,A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,D),C)).
% 11.55/11.44 ** KEPT (pick-wt=14): 669 [copy,668,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),$f64(A,B))=B.
% 11.55/11.44 ** KEPT (pick-wt=28): 670 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f66(A,B,C)),$f65(A,B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(C,A)),hAPP_nat_nat(C,B))).
% 11.55/11.44 ** KEPT (pick-wt=32): 671 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(A,$f66(B,C,A))),hAPP_nat_nat(A,$f65(B,C,A))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(A,B)),hAPP_nat_nat(A,C))).
% 11.55/11.44 ** KEPT (pick-wt=21): 672 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f67(C,A,B))).
% 11.55/11.44 ** KEPT (pick-wt=31): 673 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(B),D))),$f67(C,A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),D)).
% 11.55/11.44 ** KEPT (pick-wt=31): 674 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(hAPP_real_real(minus_minus_real(B),D))),$f67(C,A,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,D),C)).
% 11.55/11.44 ** KEPT (pick-wt=20): 675 [] -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),$f68(B,A))).
% 11.55/11.44 ** KEPT (pick-wt=20): 676 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f68(B,A)),A)).
% 11.55/11.44 ** KEPT (pick-wt=20): 677 [] -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,$f68(B,A)),B)).
% 11.55/11.44 ** KEPT (pick-wt=17): 678 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|natceiling(hAPP_real_real(plus_plus_real(A),one_one_real))=hAPP_nat_nat(plus_plus_nat(natceiling(A)),one_one_nat).
% 11.55/11.44 ** KEPT (pick-wt=14): 679 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(A)),natceiling(B))).
% 11.55/11.44 ** KEPT (pick-wt=10): 680 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))|natceiling(A)=zero_zero_nat.
% 11.55/11.44 ** KEPT (pick-wt=13): 681 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(A)),one_one_nat))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),one_one_real)).
% 11.55/11.44 ** KEPT (pick-wt=13): 682 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(A)),one_one_nat))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),one_one_real)).
% 11.55/11.44 ** KEPT (pick-wt=17): 683 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|natfloor(hAPP_real_real(plus_plus_real(A),one_one_real))=hAPP_nat_nat(plus_plus_nat(natfloor(A)),one_one_nat).
% 11.55/11.44 Following clause subsumed by 567 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 11.55/11.44 Following clause subsumed by 569 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 11.55/11.44 Following clause subsumed by 571 during input processing: 0 [] hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 11.55/11.44 ** KEPT (pick-wt=26): 684 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,A)),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,A)),one_one_real)))|natceiling(B)=hAPP_nat_nat(plus_plus_nat(A),one_one_nat).
% 11.55/11.44 ** KEPT (pick-wt=16): 685 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,A)),hAPP_nat_real(real_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 11.55/11.44 ** KEPT (pick-wt=16): 686 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,A)),hAPP_nat_real(real_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 11.55/11.44 ** KEPT (pick-wt=8): 687 [] hAPP_nat_real(real_nat,A)!=zero_zero_real|A=zero_zero_nat.
% 11.55/11.44 ** KEPT (pick-wt=8): 688 [] hAPP_nat_real(real_nat,A)=zero_zero_real|A!=zero_zero_nat.
% 11.55/11.44 ** KEPT (pick-wt=10): 689 [] hAPP_nat_real(real_nat,A)!=hAPP_nat_real(real_nat,B)|A=B.
% 11.55/11.44 ** KEPT (pick-wt=10): 690 [] hAPP_nat_real(real_nat,A)=hAPP_nat_real(real_nat,B)|A!=B.
% 11.55/11.44 ** KEPT (pick-wt=15): 691 [] -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,hAPP_nat_real(real_nat,natfloor(A))),A)).
% 11.55/11.44 ** KEPT (pick-wt=15): 692 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),natfloor(B))).
% 11.55/11.44 ** KEPT (pick-wt=21): 693 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),B))|natfloor(hAPP_real_real(minus_minus_real(B),hAPP_nat_real(real_nat,A)))=hAPP_nat_nat(minus_minus_nat(natfloor(B)),A).
% 11.55/11.44 ** KEPT (pick-wt=21): 694 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),natfloor(A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,B)),A)).
% 11.55/11.44 Following clause subsumed by 692 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),natfloor(A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,B)),A)).
% 11.55/11.44 ** KEPT (pick-wt=8): 695 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,A)),zero_zero_real)).
% 11.55/11.44 ** KEPT (pick-wt=16): 696 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),hAPP_nat_real(real_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.55/11.44 ** KEPT (pick-wt=16): 697 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),hAPP_nat_real(real_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 11.55/11.44 ** KEPT (pick-wt=21): 698 [] -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,A),hAPP_nat_real(real_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(A)),B)).
% 11.55/11.44 ** KEPT (pick-wt=19): 699 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|natfloor(hAPP_real_real(plus_plus_real(A),hAPP_nat_real(real_nat,B)))=hAPP_nat_nat(plus_plus_nat(natfloor
% 11.55/11.44 Search stopped in tp_alloc by max_mem option.
% 11.55/11.44 (A)),B).
% 11.55/11.44 ** KEPT (pick-wt=18): 700 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(natfloor(A)),one_one_nat)),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),hAPP_nat_real(real_nat,B))).
% 11.55/11.44 ** KEPT (pick-wt=23): 701 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,A)),one_one_real)))|natfloor(B)=A.
% 11.55/11.44 ** KEPT (pick-wt=14): 702 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natfloor(A)),natfloor(B))).
% 11.55/11.44 ** KEPT (pick-wt=11): 703 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),zero_zero_real))|A=zero_zero_nat.
% 11.55/11.44 ** KEPT (pick-wt=11): 704 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),zero_zero_real))|A!=zero_zero_nat.
% 11.55/11.44 ** KEPT (pick-wt=21): 706 [copy,705,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_real_real(minus_minus_real(hAPP_nat_real(real_nat,B)),hAPP_nat_real(real_nat,A))=hAPP_nat_real(real_nat,hAPP_nat_nat(minus_minus_nat(B),A)).
% 11.55/11.44 ** KEPT (pick-wt=15): 707 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),hAPP_nat_real(real_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(A)),B)).
% 11.55/11.44 ** KEPT (pick-wt=10): 708 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))|natfloor(A)=zero_zero_nat.
% 11.55/11.44 ** KEPT (pick-wt=14): 709 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 11.55/11.44 ** KEPT (pick-wt=14): 710 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 11.55/11.44 ** KEPT (pick-wt=19): 711 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,A)),one_one_real)),hAPP_nat_real(real_nat,B))).
% 11.55/11.44 ** KEPT (pick-wt=19): 712 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,A)),one_one_real)),hAPP_nat_real(real_nat,B))).
% 11.55/11.44 ** KEPT (pick-wt=19): 713 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,A)),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,B)),one_one_real))).
% 11.55/11.44 ** KEPT (pick-wt=19): 714 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,A)),hAPP_real_real(plus_plus_real(hAPP_nat_real(real_nat,B)),one_one_real))).
% 11.55/11.44 ** KEPT (pick-wt=21): 715 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(A)),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),hAPP_nat_real(real_nat,B))).
% 11.55/11.44 Following clause subsumed by 707 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(A)),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),hAPP_nat_real(real_nat,B))).
% 11.55/11.44
% 11.55/11.44 Search stopped in tp_alloc by max_mem option.
% 11.55/11.44
% 11.55/11.44 ============ end of search ============
% 11.55/11.44
% 11.55/11.44 -------------- statistics -------------
% 11.55/11.44 clauses given 0
% 11.55/11.44 clauses generated 0
% 11.55/11.44 clauses kept 680
% 11.55/11.44 clauses forward subsumed 326
% 11.55/11.44 clauses back subsumed 0
% 11.55/11.44 Kbytes malloced 11718
% 11.55/11.44
% 11.55/11.44 ----------- times (seconds) -----------
% 11.55/11.44 user CPU time 0.26 (0 hr, 0 min, 0 sec)
% 11.55/11.44 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 11.55/11.44 wall-clock time 11 (0 hr, 0 min, 11 sec)
% 11.55/11.44
% 11.55/11.44 Process 18216 finished Wed Jul 27 09:51:22 2022
% 11.55/11.44 Otter interrupted
% 11.55/11.44 PROOF NOT FOUND
%------------------------------------------------------------------------------