%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM923+2 : 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 17.61s 17.66s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM923+2 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.12  % 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 09:48:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 5.89/5.97  ----- Otter 3.3f, August 2004 -----
% 5.89/5.97  The process was started by sandbox on n003.cluster.edu,
% 5.89/5.97  Wed Jul 27 09:48:41 2022
% 5.89/5.97  The command was "./otter".  The process ID is 13193.
% 5.89/5.97  
% 5.89/5.97  set(prolog_style_variables).
% 5.89/5.97  set(auto).
% 5.89/5.97     dependent: set(auto1).
% 5.89/5.97     dependent: set(process_input).
% 5.89/5.97     dependent: clear(print_kept).
% 5.89/5.97     dependent: clear(print_new_demod).
% 5.89/5.97     dependent: clear(print_back_demod).
% 5.89/5.97     dependent: clear(print_back_sub).
% 5.89/5.97     dependent: set(control_memory).
% 5.89/5.97     dependent: assign(max_mem, 12000).
% 5.89/5.97     dependent: assign(pick_given_ratio, 4).
% 5.89/5.97     dependent: assign(stats_level, 1).
% 5.89/5.97     dependent: assign(max_seconds, 10800).
% 5.89/5.97  clear(print_given).
% 5.89/5.97  
% 5.89/5.97  formula_list(usable).
% 5.89/5.97  all A (A=A).
% 5.89/5.97  all B_1_1 B_2_1 is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 5.89/5.97  all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 5.89/5.97  all B_1_1 B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 5.89/5.97  all B_1_1 B_2_1 is_bool(hAPP_P178748804t_bool(B_1_1,B_2_1)).
% 5.89/5.97  all A_19 R_1 B M C_31 D N (plus_plus_int(times_times_int(minus_minus_int(A_19,times_times_int(R_1,B)),M),times_times_int(minus_minus_int(C_31,times_times_int(R_1,D)),N))=minus_minus_int(plus_plus_int(times_times_int(A_19,M),times_times_int(C_31,N)),times_times_int(R_1,plus_plus_int(times_times_int(B,M),times_times_int(D,N))))).
% 5.89/5.97  all X_44 Y_43 A_146 B_112 (minus_minus_int(times_times_int(X_44,Y_43),times_times_int(A_146,B_112))=plus_plus_int(times_times_int(X_44,minus_minus_int(Y_43,B_112)),times_times_int(minus_minus_int(X_44,A_146),B_112))).
% 5.89/5.97  all Aa E C_4 Ba D_3 (plus_plus_int(times_times_int(Aa,E),C_4)=plus_plus_int(times_times_int(Ba,E),D_3)<->C_4=plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3)).
% 5.89/5.97  all Aa E C_4 Ba D_3 (plus_plus_int(times_times_int(Aa,E),C_4)=plus_plus_int(times_times_int(Ba,E),D_3)<->plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)=D_3).
% 5.89/5.97  all X_1 (hBOOL(hAPP_int_bool(twoSqu142715416sum2sq,X_1))<-> (exists A_88 B_92 (twoSqu140629262sum2sq(product_Pair_int_int(A_88,B_92))=X_1))).
% 5.89/5.97  all A_19 B C_31 (minus_minus_int(A_19,B)=C_31->A_19=plus_plus_int(C_31,B)).
% 5.89/5.97  all W Z1 Z2 (times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2))).
% 5.89/5.97  all Z1 Z2 W (times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W))).
% 5.89/5.97  all W Z1 Z2 (times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2))).
% 5.89/5.97  all Z1 Z2 W (times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W))).
% 5.89/5.97  all A_145 B_111 (plus_plus_int(minus_minus_int(A_145,B_111),B_111)=A_145).
% 5.89/5.97  all A_144 B_110 C_67 (times_times_int(times_times_int(A_144,B_110),C_67)=times_times_int(A_144,times_times_int(B_110,C_67))).
% 5.89/5.97  all A_144 B_110 C_67 (times_times_nat(times_times_nat(A_144,B_110),C_67)=times_times_nat(A_144,times_times_nat(B_110,C_67))).
% 5.89/5.97  all B_109 A_143 C_66 (plus_plus_int(B_109,A_143)=plus_plus_int(C_66,A_143)->B_109=C_66).
% 5.89/5.97  all B_109 A_143 C_66 (plus_plus_nat(B_109,A_143)=plus_plus_nat(C_66,A_143)->B_109=C_66).
% 5.89/5.97  all A_142 B_108 C_65 (plus_plus_int(A_142,B_108)=plus_plus_int(A_142,C_65)->B_108=C_65).
% 5.89/5.97  all A_142 B_108 C_65 (plus_plus_nat(A_142,B_108)=plus_plus_nat(A_142,C_65)->B_108=C_65).
% 5.89/5.97  all A_141 B_107 C_64 (plus_plus_int(A_141,B_107)=plus_plus_int(A_141,C_64)->B_107=C_64).
% 5.89/5.97  all A_141 B_107 C_64 (plus_plus_nat(A_141,B_107)=plus_plus_nat(A_141,C_64)->B_107=C_64).
% 5.89/5.97  all Ba Aa C_4 (plus_plus_int(Ba,Aa)=plus_plus_int(C_4,Aa)<->Ba=C_4).
% 5.89/5.97  all Ba Aa C_4 (plus_plus_nat(Ba,Aa)=plus_plus_nat(C_4,Aa)<->Ba=C_4).
% 5.89/5.97  all Aa Ba C_4 (plus_plus_int(Aa,Ba)=plus_plus_int(Aa,C_4)<->Ba=C_4).
% 5.89/5.97  all Aa Ba C_4 (plus_plus_nat(Aa,Ba)=plus_plus_nat(Aa,C_4)<->Ba=C_4).
% 5.89/5.97  all A_140 B_106 C_63 (plus_plus_int(plus_plus_int(A_140,B_106),C_63)=plus_plus_int(A_140,plus_plus_int(B_106,C_63))).
% 5.89/5.97  all A_140 B_106 C_63 (plus_plus_nat(plus_plus_nat(A_140,B_106),C_63)=plus_plus_nat(A_140,plus_plus_nat(B_106,C_63))).
% 5.89/5.97  all Aa Ba C_4 D_3 (minus_minus_int(Aa,Ba)=minus_minus_int(C_4,D_3)-> (Aa=Ba<->C_4=D_3)).
% 5.89/5.97  all Z1 Z2 Z3 (times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3))).
% 5.89/5.97  all Z W (times_times_int(Z,W)=times_times_int(W,Z)).
% 5.89/5.97  all Z1 Z2 Z3 (plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3))).
% 5.89/5.97  all X Y Z (plus_plus_int(X,plus_plus_int(Y,Z))=plus_plus_int(Y,plus_plus_int(X,Z))).
% 5.89/5.97  all Z W (plus_plus_int(Z,W)=plus_plus_int(W,Z)).
% 5.89/5.97  all A_139 E_1 B_105 C_62 (plus_plus_int(times_times_int(A_139,E_1),plus_plus_int(times_times_int(B_105,E_1),C_62))=plus_plus_int(times_times_int(plus_plus_int(A_139,B_105),E_1),C_62)).
% 5.89/5.97  all A_139 E_1 B_105 C_62 (plus_plus_nat(times_times_nat(A_139,E_1),plus_plus_nat(times_times_nat(B_105,E_1),C_62))=plus_plus_nat(times_times_nat(plus_plus_nat(A_139,B_105),E_1),C_62)).
% 5.89/5.97  all A_138 B_104 C_61 (times_times_int(plus_plus_int(A_138,B_104),C_61)=plus_plus_int(times_times_int(A_138,C_61),times_times_int(B_104,C_61))).
% 5.89/5.97  all A_138 B_104 C_61 (times_times_nat(plus_plus_nat(A_138,B_104),C_61)=plus_plus_nat(times_times_nat(A_138,C_61),times_times_nat(B_104,C_61))).
% 5.89/5.97  all A_137 C_60 B_103 D_18 (minus_minus_int(plus_plus_int(A_137,C_60),plus_plus_int(B_103,D_18))=plus_plus_int(minus_minus_int(A_137,B_103),minus_minus_int(C_60,D_18))).
% 5.89/5.97  all A_136 B_102 (minus_minus_int(plus_plus_int(A_136,B_102),B_102)=A_136).
% 5.89/5.97  all W_1 Y_3 X_1 Z_1 (plus_plus_int(times_times_int(W_1,Y_3),times_times_int(X_1,Z_1))=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_1,Y_3))<->W_1=X_1|Y_3=Z_1).
% 5.89/5.97  all W_1 Y_3 X_1 Z_1 (plus_plus_nat(times_times_nat(W_1,Y_3),times_times_nat(X_1,Z_1))=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_1,Y_3))<->W_1=X_1|Y_3=Z_1).
% 5.89/5.97  all A_135 M_6 B_101 (plus_plus_int(times_times_int(A_135,M_6),times_times_int(B_101,M_6))=times_times_int(plus_plus_int(A_135,B_101),M_6)).
% 5.89/5.97  all A_135 M_6 B_101 (plus_plus_nat(times_times_nat(A_135,M_6),times_times_nat(B_101,M_6))=times_times_nat(plus_plus_nat(A_135,B_101),M_6)).
% 5.89/5.97  all A_134 B_100 C_59 (times_times_int(plus_plus_int(A_134,B_100),C_59)=plus_plus_int(times_times_int(A_134,C_59),times_times_int(B_100,C_59))).
% 5.89/5.97  all A_134 B_100 C_59 (times_times_nat(plus_plus_nat(A_134,B_100),C_59)=plus_plus_nat(times_times_nat(A_134,C_59),times_times_nat(B_100,C_59))).
% 5.89/5.97  all C_4 D_3 Aa Ba (Aa!=Ba&C_4!=D_3<->plus_plus_int(times_times_int(Aa,C_4),times_times_int(Ba,D_3))!=plus_plus_int(times_times_int(Aa,D_3),times_times_int(Ba,C_4))).
% 5.89/5.97  all C_4 D_3 Aa Ba (Aa!=Ba&C_4!=D_3<->plus_plus_nat(times_times_nat(Aa,C_4),times_times_nat(Ba,D_3))!=plus_plus_nat(times_times_nat(Aa,D_3),times_times_nat(Ba,C_4))).
% 5.89/5.97  all X_43 Y_42 Z_12 (times_times_int(X_43,plus_plus_int(Y_42,Z_12))=plus_plus_int(times_times_int(X_43,Y_42),times_times_int(X_43,Z_12))).
% 5.89/5.97  all X_43 Y_42 Z_12 (times_times_nat(X_43,plus_plus_nat(Y_42,Z_12))=plus_plus_nat(times_times_nat(X_43,Y_42),times_times_nat(X_43,Z_12))).
% 5.89/5.97  all A_133 B_99 A_132 B_98 (product_Pair_int_int(A_133,B_99)=product_Pair_int_int(A_132,B_98)-> -(A_133=A_132->B_99!=B_98)).
% 5.89/5.97  all A_133 B_99 A_132 B_98 (produc282740534nt_int(A_133,B_99)=produc282740534nt_int(A_132,B_98)-> -(A_133=A_132->B_99!=B_98)).
% 5.89/5.97  all Aa Ba A_131 B_97 (product_Pair_int_int(Aa,Ba)=product_Pair_int_int(A_131,B_97)<->Aa=A_131&Ba=B_97).
% 5.89/5.97  all Aa Ba A_131 B_97 (produc282740534nt_int(Aa,Ba)=produc282740534nt_int(A_131,B_97)<->Aa=A_131&Ba=B_97).
% 5.89/5.97  all P ((all X1 hBOOL(hAPP_P603027463t_bool(P,X1)))<-> (all A_88 B_92 hBOOL(hAPP_P603027463t_bool(P,product_Pair_int_int(A_88,B_92))))).
% 5.89/5.97  all P ((all X1 hBOOL(hAPP_P178748804t_bool(P,X1)))<-> (all A_88 B_92 hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int(A_88,B_92))))).
% 5.89/5.97  all A_130 B_96 C_58 D_17 (plus_plus_int(plus_plus_int(A_130,B_96),plus_plus_int(C_58,D_17))=plus_plus_int(plus_plus_int(A_130,C_58),plus_plus_int(B_96,D_17))).
% 5.89/5.97  all A_130 B_96 C_58 D_17 (plus_plus_nat(plus_plus_nat(A_130,B_96),plus_plus_nat(C_58,D_17))=plus_plus_nat(plus_plus_nat(A_130,C_58),plus_plus_nat(B_96,D_17))).
% 5.89/5.97  all A_129 B_95 (times_times_int(A_129,B_95)=times_times_int(B_95,A_129)).
% 5.89/5.97  all A_129 B_95 (times_times_nat(A_129,B_95)=times_times_nat(B_95,A_129)).
% 5.89/5.97  all Lx_6 Rx_6 Ry_4 (times_times_int(Lx_6,times_times_int(Rx_6,Ry_4))=times_times_int(Rx_6,times_times_int(Lx_6,Ry_4))).
% 5.89/5.97  all Lx_6 Rx_6 Ry_4 (times_times_nat(Lx_6,times_times_nat(Rx_6,Ry_4))=times_times_nat(Rx_6,times_times_nat(Lx_6,Ry_4))).
% 5.89/5.97  all Lx_5 Rx_5 Ry_3 (times_times_int(Lx_5,times_times_int(Rx_5,Ry_3))=times_times_int(times_times_int(Lx_5,Rx_5),Ry_3)).
% 5.89/5.97  all Lx_5 Rx_5 Ry_3 (times_times_nat(Lx_5,times_times_nat(Rx_5,Ry_3))=times_times_nat(times_times_nat(Lx_5,Rx_5),Ry_3)).
% 5.89/5.97  all Lx_4 Ly_4 Rx_4 (times_times_int(times_times_int(Lx_4,Ly_4),Rx_4)=times_times_int(Lx_4,times_times_int(Ly_4,Rx_4))).
% 5.89/5.97  all Lx_4 Ly_4 Rx_4 (times_times_nat(times_times_nat(Lx_4,Ly_4),Rx_4)=times_times_nat(Lx_4,times_times_nat(Ly_4,Rx_4))).
% 5.89/5.97  all Lx_3 Ly_3 Rx_3 (times_times_int(times_times_int(Lx_3,Ly_3),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_3)).
% 5.89/5.97  all Lx_3 Ly_3 Rx_3 (times_times_nat(times_times_nat(Lx_3,Ly_3),Rx_3)=times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_3)).
% 5.89/5.97  all Lx_2 Ly_2 Rx_2 Ry_2 (times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2))=times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2)))).
% 5.89/5.97  all Lx_2 Ly_2 Rx_2 Ry_2 (times_times_nat(times_times_nat(Lx_2,Ly_2),times_times_nat(Rx_2,Ry_2))=times_times_nat(Lx_2,times_times_nat(Ly_2,times_times_nat(Rx_2,Ry_2)))).
% 5.89/5.97  all Lx_1 Ly_1 Rx_1 Ry_1 (times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1))=times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1))).
% 5.89/5.97  all Lx_1 Ly_1 Rx_1 Ry_1 (times_times_nat(times_times_nat(Lx_1,Ly_1),times_times_nat(Rx_1,Ry_1))=times_times_nat(Rx_1,times_times_nat(times_times_nat(Lx_1,Ly_1),Ry_1))).
% 5.89/5.97  all Lx Ly Rx Ry (times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry))=times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry))).
% 5.89/5.97  all Lx Ly Rx Ry (times_times_nat(times_times_nat(Lx,Ly),times_times_nat(Rx,Ry))=times_times_nat(times_times_nat(Lx,Rx),times_times_nat(Ly,Ry))).
% 5.89/5.97  all A_128 C_57 (plus_plus_int(A_128,C_57)=plus_plus_int(C_57,A_128)).
% 5.89/5.97  all A_128 C_57 (plus_plus_nat(A_128,C_57)=plus_plus_nat(C_57,A_128)).
% 5.89/5.97  all A_127 C_56 D_16 (plus_plus_int(A_127,plus_plus_int(C_56,D_16))=plus_plus_int(C_56,plus_plus_int(A_127,D_16))).
% 5.89/5.97  all A_127 C_56 D_16 (plus_plus_nat(A_127,plus_plus_nat(C_56,D_16))=plus_plus_nat(C_56,plus_plus_nat(A_127,D_16))).
% 5.89/5.97  all A_126 C_55 D_15 (plus_plus_int(A_126,plus_plus_int(C_55,D_15))=plus_plus_int(plus_plus_int(A_126,C_55),D_15)).
% 5.89/5.97  all A_126 C_55 D_15 (plus_plus_nat(A_126,plus_plus_nat(C_55,D_15))=plus_plus_nat(plus_plus_nat(A_126,C_55),D_15)).
% 5.89/5.97  all A_125 B_94 C_54 (plus_plus_int(plus_plus_int(A_125,B_94),C_54)=plus_plus_int(A_125,plus_plus_int(B_94,C_54))).
% 5.89/5.97  all A_125 B_94 C_54 (plus_plus_nat(plus_plus_nat(A_125,B_94),C_54)=plus_plus_nat(A_125,plus_plus_nat(B_94,C_54))).
% 5.89/5.97  all A_124 B_93 C_53 (plus_plus_int(plus_plus_int(A_124,B_93),C_53)=plus_plus_int(plus_plus_int(A_124,C_53),B_93)).
% 5.89/5.97  all A_124 B_93 C_53 (plus_plus_nat(plus_plus_nat(A_124,B_93),C_53)=plus_plus_nat(plus_plus_nat(A_124,C_53),B_93)).
% 5.89/5.97  all P ((exists X1 hBOOL(hAPP_P603027463t_bool(P,X1)))<-> (exists A_88 B_92 hBOOL(hAPP_P603027463t_bool(P,product_Pair_int_int(A_88,B_92))))).
% 5.89/5.97  all P ((exists X1 hBOOL(hAPP_P178748804t_bool(P,X1)))<-> (exists A_88 B_92 hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int(A_88,B_92))))).
% 5.89/5.97  all X_1 P ((all A_88 B_92 C_52 hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int(A_88,product_Pair_int_int(B_92,C_52)))))->hBOOL(hAPP_P178748804t_bool(P,X_1))).
% 5.89/5.97  all Y_41 (-(all A_88 B_92 C_52 (Y_41!=produc282740534nt_int(A_88,product_Pair_int_int(B_92,C_52))))).
% 5.89/5.97  all Y_40 (-(all A_88 B_92 (Y_40!=product_Pair_int_int(A_88,B_92)))).
% 5.89/5.97  all Y_40 (-(all A_88 B_92 (Y_40!=produc282740534nt_int(A_88,B_92)))).
% 5.89/5.97  all P_2 (-(all X_3 Y_39 (P_2!=product_Pair_int_int(X_3,Y_39)))).
% 5.89/5.97  all P_2 (-(all X_3 Y_39 (P_2!=produc282740534nt_int(X_3,Y_39)))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))->hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))->hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))).
% 5.89/5.97  all Aa E C_4 Ba D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)),D_3))).
% 5.89/5.97  all Aa E C_4 Ba D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_4),plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3)))).
% 5.89/5.97  all X_42 (minus_minus_int(times_times_int(X_42,X_42),one_one_int)=times_times_int(plus_plus_int(X_42,one_one_int),minus_minus_int(X_42,one_one_int))).
% 5.89/5.97  all Aa E C_4 Ba D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)),D_3))).
% 5.89/5.97  all Aa E C_4 Ba D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3)))).
% 5.89/5.97  all X_1 (one_one_int=X_1<->X_1=one_one_int).
% 5.89/5.97  all X_1 (one_one_nat=X_1<->X_1=one_one_nat).
% 5.89/5.97  all W_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1))).
% 5.89/5.97  all W_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W_1,one_one_int)),Z_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1))).
% 5.89/5.97  all X_41 Y_38 (X_41!=Y_38-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_41),Y_38))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_38),X_41)))).
% 5.89/5.97  all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W,one_one_int)),Z))).
% 5.89/5.97  all X_40 Y_37 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_40),Y_37))-> (X_40!=Y_37->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_40),Y_37)))).
% 5.89/5.97  all X_40 Y_37 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_40),Y_37))-> (X_40!=Y_37->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_40),Y_37)))).
% 5.89/5.97  all W_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1))|W_1=Z_1).
% 5.89/5.97  all Z_11 Z W_2 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_11),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(W_2,Z_11)),plus_plus_int(W,Z))))).
% 5.89/5.97  all C_51 D_14 A_123 B_91 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_123),B_91))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_51),D_14))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_123,C_51)),plus_plus_int(B_91,D_14))))).
% 5.89/5.97  all C_51 D_14 A_123 B_91 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_123),B_91))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_51),D_14))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_123,C_51)),plus_plus_nat(B_91,D_14))))).
% 5.89/5.97  all C_50 D_13 A_122 B_90 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_122),B_90))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_50),D_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_122,C_50)),plus_plus_int(B_90,D_13))))).
% 5.89/5.97  all C_50 D_13 A_122 B_90 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_122),B_90))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_50),D_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_122,C_50)),plus_plus_nat(B_90,D_13))))).
% 5.89/5.97  all A_121 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_121),plus_plus_int(A_121,one_one_int))).
% 5.89/5.97  all A_121 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_121),plus_plus_nat(A_121,one_one_nat))).
% 5.89/5.97  all N_2 M_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),times_times_int(M_5,N_2))))).
% 5.89/5.97  all N_2 M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),times_times_nat(M_5,N_2))))).
% 5.89/5.97  all W_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),minus_minus_int(Z_1,one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1))).
% 5.89/5.97  all Aa C_4 Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,C_4)),plus_plus_int(Ba,C_4)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 5.89/5.97  all Aa C_4 Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(Aa,C_4)),plus_plus_nat(Ba,C_4)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 5.89/5.97  all C_4 Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_4,Aa)),plus_plus_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 5.89/5.97  all C_4 Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_4,Aa)),plus_plus_nat(C_4,Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 5.89/5.97  all C_49 A_120 B_89 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_120),B_89))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_120,C_49)),plus_plus_int(B_89,C_49)))).
% 5.89/5.97  all C_49 A_120 B_89 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_120),B_89))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_120,C_49)),plus_plus_nat(B_89,C_49)))).
% 5.89/5.97  all C_48 A_119 B_88 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_119),B_88))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_48,A_119)),plus_plus_int(C_48,B_88)))).
% 5.89/5.97  all C_48 A_119 B_88 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_119),B_88))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_48,A_119)),plus_plus_nat(C_48,B_88)))).
% 5.89/5.97  all C_47 D_12 A_118 B_87 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_118),B_87))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_47),D_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_118,C_47)),plus_plus_int(B_87,D_12))))).
% 5.89/5.97  all C_47 D_12 A_118 B_87 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_118),B_87))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_47),D_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_118,C_47)),plus_plus_nat(B_87,D_12))))).
% 5.89/5.97  all A_117 C_46 B_86 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_117,C_46)),plus_plus_int(B_86,C_46)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_117),B_86))).
% 5.89/5.97  all A_117 C_46 B_86 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_117,C_46)),plus_plus_nat(B_86,C_46)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_117),B_86))).
% 5.89/5.97  all C_45 A_116 B_85 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_45,A_116)),plus_plus_int(C_45,B_85)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_116),B_85))).
% 5.89/5.97  all C_45 A_116 B_85 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_45,A_116)),plus_plus_nat(C_45,B_85)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_116),B_85))).
% 5.89/5.97  all A_115 (times_times_int(one_one_int,A_115)=A_115).
% 5.89/5.97  all A_115 (times_times_nat(one_one_nat,A_115)=A_115).
% 5.89/5.97  all A_114 (times_times_int(A_114,one_one_int)=A_114).
% 5.89/5.97  all A_114 (times_times_nat(A_114,one_one_nat)=A_114).
% 5.89/5.97  all A_113 (times_times_int(one_one_int,A_113)=A_113).
% 5.89/5.97  all A_113 (times_times_nat(one_one_nat,A_113)=A_113).
% 5.89/5.97  all A_112 (times_times_int(one_one_int,A_112)=A_112).
% 5.89/5.97  all A_112 (times_times_nat(one_one_nat,A_112)=A_112).
% 5.89/5.97  all A_111 (times_times_int(A_111,one_one_int)=A_111).
% 5.89/5.97  all A_111 (times_times_nat(A_111,one_one_nat)=A_111).
% 5.89/5.97  all A_110 (times_times_int(A_110,one_one_int)=A_110).
% 5.89/5.97  all A_110 (times_times_nat(A_110,one_one_nat)=A_110).
% 5.89/5.97  all Aa Ba C_4 D_3 (minus_minus_int(Aa,Ba)=minus_minus_int(C_4,D_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),D_3)))).
% 5.89/5.97  all Aa C_4 Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(Aa,C_4)),plus_plus_int(Ba,C_4)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 5.89/5.97  all Aa C_4 Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(Aa,C_4)),plus_plus_nat(Ba,C_4)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 5.89/5.97  all C_4 Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_4,Aa)),plus_plus_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 5.89/5.97  all C_4 Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_4,Aa)),plus_plus_nat(C_4,Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 5.89/5.97  all C_44 A_109 B_84 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_109),B_84))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_109,C_44)),plus_plus_int(B_84,C_44)))).
% 5.89/5.97  all C_44 A_109 B_84 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_109),B_84))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_109,C_44)),plus_plus_nat(B_84,C_44)))).
% 5.89/5.97  all C_43 A_108 B_83 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_108),B_83))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_43,A_108)),plus_plus_int(C_43,B_83)))).
% 5.89/5.97  all C_43 A_108 B_83 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_108),B_83))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_43,A_108)),plus_plus_nat(C_43,B_83)))).
% 5.89/5.97  all C_42 D_11 A_107 B_82 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_107),B_82))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_42),D_11))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_107,C_42)),plus_plus_int(B_82,D_11))))).
% 5.89/5.97  all C_42 D_11 A_107 B_82 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_107),B_82))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_42),D_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_107,C_42)),plus_plus_nat(B_82,D_11))))).
% 5.89/5.97  all A_106 C_41 B_81 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_106,C_41)),plus_plus_int(B_81,C_41)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_106),B_81))).
% 5.89/5.97  all A_106 C_41 B_81 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_106,C_41)),plus_plus_nat(B_81,C_41)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_106),B_81))).
% 5.89/5.97  all C_40 A_105 B_80 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_40,A_105)),plus_plus_int(C_40,B_80)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_105),B_80))).
% 5.89/5.97  all C_40 A_105 B_80 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_40,A_105)),plus_plus_nat(C_40,B_80)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_105),B_80))).
% 5.89/5.97  all Aa Ba C_4 D_3 (minus_minus_int(Aa,Ba)=minus_minus_int(C_4,D_3)-> (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_4),D_3)))).
% 5.89/5.97  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,plus_plus_int(I,K)),plus_plus_int(J,K)))).
% 5.89/5.97  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,plus_plus_int(K,I)),plus_plus_int(K,J)))).
% 5.89/5.97  all Z (times_times_int(one_one_int,Z)=Z).
% 5.89/5.97  all Z (times_times_int(Z,one_one_int)=Z).
% 5.89/5.97  all M_4 (plus_plus_int(M_4,M_4)=times_times_int(plus_plus_int(one_one_int,one_one_int),M_4)).
% 5.89/5.97  all M_4 (plus_plus_nat(M_4,M_4)=times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),M_4)).
% 5.89/5.97  all M_3 A_104 (plus_plus_nat(M_3,times_times_nat(A_104,M_3))=times_times_nat(plus_plus_nat(A_104,one_one_nat),M_3)).
% 5.89/5.97  all M_3 A_104 (plus_plus_int(M_3,times_times_int(A_104,M_3))=times_times_int(plus_plus_int(A_104,one_one_int),M_3)).
% 5.89/5.97  all A_103 M_2 (plus_plus_nat(times_times_nat(A_103,M_2),M_2)=times_times_nat(plus_plus_nat(A_103,one_one_nat),M_2)).
% 5.89/5.97  all A_103 M_2 (plus_plus_int(times_times_int(A_103,M_2),M_2)=times_times_int(plus_plus_int(A_103,one_one_int),M_2)).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))->hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))->hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))<->hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))).
% 5.89/5.97  all F Aa Ba (hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))<->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 5.89/5.97  all X_39 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_39),X_39)).
% 5.89/5.97  all X_39 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_39),X_39)).
% 5.89/5.97  all Z_10 Y_36 X_38 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_36),X_38))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_10),Y_36))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_10),X_38)))).
% 5.89/5.97  all Z_10 Y_36 X_38 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_36),X_38))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_10),Y_36))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_10),X_38)))).
% 5.89/5.97  all Z_9 X_37 Y_35 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_37),Y_35))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_35),Z_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_37),Z_9)))).
% 5.89/5.97  all Z_9 X_37 Y_35 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_37),Y_35))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_35),Z_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_37),Z_9)))).
% 5.89/5.97  all Z_8 Y_34 X_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_34),X_36))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),Y_34))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_8),X_36)))).
% 5.89/5.97  all Z_8 Y_34 X_36 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_34),X_36))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),Y_34))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_8),X_36)))).
% 5.89/5.97  all Z_7 X_35 Y_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Y_33))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_33),Z_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Z_7)))).
% 5.89/5.97  all Z_7 X_35 Y_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Y_33))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_33),Z_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Z_7)))).
% 5.89/5.97  all B_79 A_102 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_79),A_102))-> (A_102!=B_79->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_79),A_102)))).
% 5.89/5.97  all B_79 A_102 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_79),A_102))-> (A_102!=B_79->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_79),A_102)))).
% 5.89/5.97  all A_101 B_78 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_101),B_78))-> (A_101!=B_78->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_101),B_78)))).
% 5.89/5.97  all A_101 B_78 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_101),B_78))-> (A_101!=B_78->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_101),B_78)))).
% 5.89/5.97  all X_34 Y_32 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_34),Y_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_34),Y_32))|X_34=Y_32).
% 5.89/5.97  all X_34 Y_32 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_34),Y_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_34),Y_32))|X_34=Y_32).
% 5.89/5.97  all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 5.89/5.97  all Z W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))).
% 5.89/5.97  all Z_1 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1))&Z_1!=W_1).
% 5.89/5.97  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))).
% 5.89/5.97  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)))).
% 5.89/5.97  all Z W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))->Z=W)).
% 5.89/5.97  all X_33 Y_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_33),Y_31))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_31),X_33))).
% 5.89/5.97  all X_33 Y_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_33),Y_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_31),X_33))).
% 5.89/5.97  all X_1 Y_3 (X_1=Y_3<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (X_1=Y_3<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1))).
% 5.89/5.97  all X_32 Y_30 (X_32=Y_30->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_32),Y_30))).
% 5.89/5.97  all X_32 Y_30 (X_32=Y_30->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_32),Y_30))).
% 5.89/5.97  all Y_3 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all Y_3 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all C_39 A_100 B_77 (A_100=B_77-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_77),C_39))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_100),C_39)))).
% 5.89/5.97  all C_39 A_100 B_77 (A_100=B_77-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_77),C_39))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_100),C_39)))).
% 5.89/5.97  all C_38 A_99 B_76 (A_99=B_76-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_38),B_76))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_38),A_99)))).
% 5.89/5.97  all C_38 A_99 B_76 (A_99=B_76-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_38),B_76))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_38),A_99)))).
% 5.89/5.97  all C_37 A_98 B_75 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_98),B_75))-> (B_75=C_37->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_98),C_37)))).
% 5.89/5.97  all C_37 A_98 B_75 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_98),B_75))-> (B_75=C_37->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_98),C_37)))).
% 5.89/5.97  all C_36 B_74 A_97 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_74),A_97))-> (B_74=C_36->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_36),A_97)))).
% 5.89/5.97  all C_36 B_74 A_97 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_74),A_97))-> (B_74=C_36->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_36),A_97)))).
% 5.89/5.97  all X_31 Y_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_31),Y_29))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_29),X_31))->X_31=Y_29)).
% 5.89/5.97  all X_31 Y_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_31),Y_29))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_29),X_31))->X_31=Y_29)).
% 5.89/5.97  all Z_6 X_30 Y_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Y_28))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_28),Z_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Z_6)))).
% 5.89/5.97  all Z_6 X_30 Y_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_30),Y_28))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_28),Z_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_30),Z_6)))).
% 5.89/5.97  all Y_27 X_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_27),X_29))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_29),Y_27))->X_29=Y_27)).
% 5.89/5.97  all Y_27 X_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_27),X_29))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_29),Y_27))->X_29=Y_27)).
% 5.89/5.97  all Z_5 Y_26 X_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_26),X_28))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),Y_26))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),X_28)))).
% 5.89/5.97  all Z_5 Y_26 X_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_26),X_28))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),Y_26))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),X_28)))).
% 5.89/5.97  all X_27 Y_25 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Y_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_25),X_27))).
% 5.89/5.97  all X_27 Y_25 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),Y_25))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_25),X_27))).
% 5.89/5.97  all X_26 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_26),X_26))).
% 5.89/5.97  all X_26 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_26),X_26))).
% 5.89/5.97  all X_1 Y_3 (X_1!=Y_3<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (X_1!=Y_3<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))|X_1=Y_3).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))|X_1=Y_3).
% 5.89/5.97  all X_25 Y_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_25),Y_24))|X_25=Y_24|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_24),X_25))).
% 5.89/5.97  all X_25 Y_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_25),Y_24))|X_25=Y_24|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_24),X_25))).
% 5.89/5.97  all Y_3 X_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all Y_3 X_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all X_24 Y_23 (X_24!=Y_23-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_24),Y_23))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_23),X_24)))).
% 5.89/5.97  all X_24 Y_23 (X_24!=Y_23-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_24),Y_23))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_23),X_24)))).
% 5.89/5.97  all X_23 Y_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),Y_22))->X_23!=Y_22).
% 5.89/5.97  all X_23 Y_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_23),Y_22))->X_23!=Y_22).
% 5.89/5.97  all X_22 Y_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Y_21))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_21),X_22))).
% 5.89/5.97  all X_22 Y_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_22),Y_21))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_21),X_22))).
% 5.89/5.97  all X_21 Y_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_20))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_20),X_21))).
% 5.89/5.97  all X_21 Y_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_21),Y_20))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_20),X_21))).
% 5.89/5.97  all X_20 Y_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_19))->X_20!=Y_19).
% 5.89/5.97  all X_20 Y_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_20),Y_19))->X_20!=Y_19).
% 5.89/5.97  all X_19 Y_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_19),Y_18))->Y_18!=X_19).
% 5.89/5.97  all X_19 Y_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_19),Y_18))->Y_18!=X_19).
% 5.89/5.97  all P X_1 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))->hBOOL(P))).
% 5.89/5.97  all P X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))->hBOOL(P))).
% 5.89/5.97  all A_96 B_73 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),B_73))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_73),A_96))).
% 5.89/5.97  all A_96 B_73 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),B_73))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_73),A_96))).
% 5.89/5.97  all B_72 A_95 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_72),A_95))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_95),B_72))).
% 5.89/5.97  all B_72 A_95 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_72),A_95))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_95),B_72))).
% 5.89/5.97  all C_35 A_94 B_71 (A_94=B_71-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_71),C_35))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_94),C_35)))).
% 5.89/5.97  all C_35 A_94 B_71 (A_94=B_71-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_71),C_35))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_94),C_35)))).
% 5.89/5.97  all C_34 A_93 B_70 (A_93=B_70-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_34),B_70))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_34),A_93)))).
% 5.89/5.97  all C_34 A_93 B_70 (A_93=B_70-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_34),B_70))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_34),A_93)))).
% 5.89/5.97  all C_33 A_92 B_69 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_92),B_69))-> (B_69=C_33->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_92),C_33)))).
% 5.89/5.97  all C_33 A_92 B_69 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_92),B_69))-> (B_69=C_33->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_92),C_33)))).
% 5.89/5.97  all C_32 B_68 A_91 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_68),A_91))-> (B_68=C_32->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_32),A_91)))).
% 5.89/5.97  all C_32 B_68 A_91 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_68),A_91))-> (B_68=C_32->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_32),A_91)))).
% 5.89/5.97  all Z_4 X_18 Y_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_17))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_17),Z_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Z_4)))).
% 5.89/5.97  all Z_4 X_18 Y_17 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Y_17))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_17),Z_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Z_4)))).
% 5.89/5.97  all Z_3 Y_16 X_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_16),X_17))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_3),Y_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_3),X_17)))).
% 5.89/5.97  all Z_3 Y_16 X_17 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_16),X_17))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Y_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),X_17)))).
% 5.89/5.97  all X_16 Y_15 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_16),Y_15))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_15),X_16))).
% 5.89/5.97  all X_16 Y_15 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_16),Y_15))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_15),X_16))).
% 5.89/5.97  all X_15 Y_14 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Y_14))-> (X_15!=Y_14->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_14),X_15)))).
% 5.89/5.97  all X_15 Y_14 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_14))-> (X_15!=Y_14->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_14),X_15)))).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))).
% 5.89/5.97  all X_14 Y_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_14),Y_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_14))).
% 5.89/5.97  all X_14 Y_13 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_14),Y_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_13),X_14))).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))&X_1!=Y_3).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))&X_1!=Y_3).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))& -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1))).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1=Y_3).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1=Y_3).
% 5.89/5.97  all X_13 Y_12 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_12),X_13))).
% 5.89/5.97  all X_13 Y_12 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_13),Y_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_12),X_13))).
% 5.89/5.97  all Y_11 X_12 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_11),X_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_12),Y_11))).
% 5.89/5.97  all Y_11 X_12 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_11),X_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_12),Y_11))).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all X_1 Y_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all A_90 B_67 (A_90!=B_67-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_90),B_67))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_90),B_67)))).
% 5.89/5.97  all A_90 B_67 (A_90!=B_67-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_90),B_67))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_90),B_67)))).
% 5.89/5.97  all A_89 B_66 (A_89!=B_66-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_66),A_89))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_66),A_89)))).
% 5.89/5.97  all A_89 B_66 (A_89!=B_66-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_66),A_89))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_66),A_89)))).
% 5.89/5.97  all Y_10 X_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_10),X_11))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_10))).
% 5.89/5.97  all Y_10 X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_10),X_11))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_11),Y_10))).
% 5.89/5.97  all X_10 Y_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_10),Y_9))).
% 5.89/5.97  all X_10 Y_9 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_10),Y_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_10),Y_9))).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))<->X_1=Y_3)).
% 5.89/5.97  all A_19 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),minus_minus_int(B,one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),B))).
% 5.89/5.97  all P 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,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,I_2))->hBOOL(hAPP_int_bool(P,minus_minus_int(I_2,one_one_int))))))->hBOOL(hAPP_int_bool(P,I_1))))).
% 5.89/5.97  all P I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P,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,I_2))->hBOOL(hAPP_int_bool(P,minus_minus_int(I_2,one_one_int))))))->hBOOL(hAPP_int_bool(P,I_1))))).
% 5.89/5.97  all P 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,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,I_2))->hBOOL(hAPP_int_bool(P,plus_plus_int(I_2,one_one_int))))))->hBOOL(hAPP_int_bool(P,I_1))))).
% 5.89/5.97  all P K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P,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,I_2))->hBOOL(hAPP_int_bool(P,plus_plus_int(I_2,one_one_int))))))->hBOOL(hAPP_int_bool(P,I_1))))).
% 5.89/5.97  all I_1 P K_1 (hBOOL(hAPP_int_bool(P,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,I_2))->hBOOL(hAPP_int_bool(P,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,I_2))->hBOOL(hAPP_int_bool(P,minus_minus_int(I_2,one_one_int))))))->hBOOL(hAPP_int_bool(P,I_1))))).
% 5.89/5.97  all B A_19 C_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),C_31))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A_19)))).
% 5.89/5.97  all X_1 P ((all A_88 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_88))->hBOOL(hAPP_int_bool(P,minus_minus_int(A_88,one_one_int))))->hBOOL(hAPP_int_bool(P,A_88))))->hBOOL(hAPP_int_bool(P,X_1))).
% 5.89/5.97  all V_1 U_1 Y_8 X_9 A_87 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),A_87))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_8),A_87))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_1))-> (plus_plus_int(U_1,V_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(U_1,X_9),times_times_int(V_1,Y_8))),A_87))))))).
% 5.89/5.97  all A_86 (times_times_nat(zero_zero_nat,A_86)=zero_zero_nat).
% 5.89/5.97  all A_86 (times_times_int(zero_zero_int,A_86)=zero_zero_int).
% 5.89/5.97  all A_85 (times_times_nat(A_85,zero_zero_nat)=zero_zero_nat).
% 5.89/5.97  all A_85 (times_times_int(A_85,zero_zero_int)=zero_zero_int).
% 5.89/5.97  all A_84 (times_times_nat(zero_zero_nat,A_84)=zero_zero_nat).
% 5.89/5.97  all A_84 (times_times_int(zero_zero_int,A_84)=zero_zero_int).
% 5.89/5.97  all A_83 (times_times_nat(A_83,zero_zero_nat)=zero_zero_nat).
% 5.89/5.97  all A_83 (times_times_int(A_83,zero_zero_int)=zero_zero_int).
% 5.89/5.97  all Aa Ba (times_times_int(Aa,Ba)=zero_zero_int<->Aa=zero_zero_int|Ba=zero_zero_int).
% 5.89/5.97  all B_65 A_82 (A_82!=zero_zero_nat-> (B_65!=zero_zero_nat->times_times_nat(A_82,B_65)!=zero_zero_nat)).
% 5.89/5.97  all B_65 A_82 (A_82!=zero_zero_int-> (B_65!=zero_zero_int->times_times_int(A_82,B_65)!=zero_zero_int)).
% 5.89/5.97  all A_81 B_64 (times_times_nat(A_81,B_64)=zero_zero_nat->A_81=zero_zero_nat|B_64=zero_zero_nat).
% 5.89/5.97  all A_81 B_64 (times_times_int(A_81,B_64)=zero_zero_int->A_81=zero_zero_int|B_64=zero_zero_int).
% 5.89/5.97  all A_80 (plus_plus_nat(zero_zero_nat,A_80)=A_80).
% 5.89/5.97  all A_80 (plus_plus_int(zero_zero_int,A_80)=A_80).
% 5.89/5.97  all A_79 (plus_plus_nat(A_79,zero_zero_nat)=A_79).
% 5.89/5.97  all A_79 (plus_plus_int(A_79,zero_zero_int)=A_79).
% 5.89/5.97  all Ba Aa (Ba=plus_plus_nat(Ba,Aa)<->Aa=zero_zero_nat).
% 5.89/5.97  all Ba Aa (Ba=plus_plus_int(Ba,Aa)<->Aa=zero_zero_int).
% 5.89/5.97  all A_78 (plus_plus_nat(zero_zero_nat,A_78)=A_78).
% 5.89/5.97  all A_78 (plus_plus_int(zero_zero_int,A_78)=A_78).
% 5.89/5.97  all A_77 (plus_plus_nat(zero_zero_nat,A_77)=A_77).
% 5.89/5.97  all A_77 (plus_plus_int(zero_zero_int,A_77)=A_77).
% 5.89/5.97  all Aa (zero_zero_int=plus_plus_int(Aa,Aa)<->Aa=zero_zero_int).
% 5.89/5.97  all A_76 (plus_plus_nat(A_76,zero_zero_nat)=A_76).
% 5.89/5.97  all A_76 (plus_plus_int(A_76,zero_zero_int)=A_76).
% 5.89/5.97  all A_75 (plus_plus_nat(A_75,zero_zero_nat)=A_75).
% 5.89/5.97  all A_75 (plus_plus_int(A_75,zero_zero_int)=A_75).
% 5.89/5.97  all Aa (plus_plus_int(Aa,Aa)=zero_zero_int<->Aa=zero_zero_int).
% 5.89/5.97  all X_1 (zero_zero_nat=X_1<->X_1=zero_zero_nat).
% 5.89/5.97  all X_1 (zero_zero_int=X_1<->X_1=zero_zero_int).
% 5.89/5.97  all A_74 (minus_minus_int(A_74,zero_zero_int)=A_74).
% 5.89/5.97  all A_73 (minus_minus_int(A_73,A_73)=zero_zero_int).
% 5.89/5.97  all Aa Ba (Aa=Ba<->minus_minus_int(Aa,Ba)=zero_zero_int).
% 5.89/5.97  all Aa Ba (minus_minus_int(Aa,Ba)=zero_zero_int<->Aa=Ba).
% 5.89/5.97  one_one_nat!=zero_zero_nat.
% 5.89/5.97  one_one_int!=zero_zero_int.
% 5.89/5.97  zero_zero_nat!=one_one_nat.
% 5.89/5.97  zero_zero_int!=one_one_int.
% 5.89/5.97  zero_zero_int!=one_one_int.
% 5.89/5.97  all Z (plus_plus_int(Z,zero_zero_int)=Z).
% 5.89/5.97  all Z (plus_plus_int(zero_zero_int,Z)=Z).
% 5.89/5.97  all B_63 A_72 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_72))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_63),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_72),zero_zero_nat))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_63))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_72,B_63)),zero_zero_nat))).
% 5.89/5.97  all B_63 A_72 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_72))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_63),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_72),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_63))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_72,B_63)),zero_zero_int))).
% 5.89/5.97  all B_62 A_71 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_71))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_62))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_71),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_62),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_71,B_62)))).
% 5.89/5.97  all C_30 D_10 A_70 B_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_70),B_61))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_30),D_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_61))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_30))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_70,C_30)),times_times_nat(B_61,D_10))))))).
% 5.89/5.97  all C_30 D_10 A_70 B_61 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_70),B_61))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_30),D_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_61))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_30))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_70,C_30)),times_times_int(B_61,D_10))))))).
% 5.89/5.97  all C_29 D_9 A_69 B_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_69),B_60))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_29),D_9))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_69))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_69,C_29)),times_times_nat(B_60,D_9))))))).
% 5.89/5.97  all C_29 D_9 A_69 B_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_69),B_60))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_29),D_9))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_69))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_29))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_69,C_29)),times_times_int(B_60,D_9))))))).
% 5.89/5.97  all C_28 B_59 A_68 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_59),A_68))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_28),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_28,A_68)),times_times_int(C_28,B_59))))).
% 5.89/5.97  all C_27 B_58 A_67 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_58),A_67))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_27),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_67,C_27)),times_times_int(B_58,C_27))))).
% 5.89/5.97  all C_26 A_66 B_57 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_66),B_57))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_26))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_26,A_66)),times_times_nat(C_26,B_57))))).
% 5.89/5.97  all C_26 A_66 B_57 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_66),B_57))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_26))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_26,A_66)),times_times_int(C_26,B_57))))).
% 5.89/5.97  all C_25 A_65 B_56 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_65),B_56))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_25,A_65)),times_times_nat(C_25,B_56))))).
% 5.89/5.97  all C_25 A_65 B_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_65),B_56))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_25))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_25,A_65)),times_times_int(C_25,B_56))))).
% 5.89/5.97  all C_24 A_64 B_55 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_64),B_55))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_24))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_64,C_24)),times_times_nat(B_55,C_24))))).
% 5.89/5.97  all C_24 A_64 B_55 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_64),B_55))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_24))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_64,C_24)),times_times_int(B_55,C_24))))).
% 5.89/5.97  all B_54 A_63 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_63),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_54),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_63,B_54))))).
% 5.89/5.97  all B_53 A_62 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_62),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_53))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_62,B_53)),zero_zero_nat)))).
% 5.89/5.97  all B_53 A_62 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_62),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_53))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_62,B_53)),zero_zero_int)))).
% 5.89/5.97  all B_52 A_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_61))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_52),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(B_52,A_61)),zero_zero_nat)))).
% 5.89/5.97  all B_52 A_61 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_61))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_52),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B_52,A_61)),zero_zero_int)))).
% 5.89/5.97  all B_51 A_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_60))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_51),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_60,B_51)),zero_zero_nat)))).
% 5.89/5.97  all B_51 A_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_60))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_51),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_60,B_51)),zero_zero_int)))).
% 5.89/5.97  all B_50 A_59 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_59))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_50))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),times_times_nat(A_59,B_50))))).
% 5.89/5.97  all B_50 A_59 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_59))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_50))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_59,B_50))))).
% 5.89/5.97  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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))).
% 5.89/5.97  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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))).
% 5.89/5.97  all A_58 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_58,A_58))).
% 5.89/5.97  all C_23 B_49 A_57 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_49),A_57))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_23),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_23,A_57)),times_times_int(C_23,B_49))))).
% 5.89/5.97  all C_22 B_48 A_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_48),A_56))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_22),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_56,C_22)),times_times_int(B_48,C_22))))).
% 5.89/5.97  all C_21 A_55 B_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_55),B_47))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_21,A_55)),times_times_nat(C_21,B_47))))).
% 5.89/5.97  all C_21 A_55 B_47 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_55),B_47))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_21))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_21,A_55)),times_times_int(C_21,B_47))))).
% 5.89/5.97  all C_20 A_54 B_46 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_54),B_46))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_20,A_54)),times_times_nat(C_20,B_46))))).
% 5.89/5.97  all C_20 A_54 B_46 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_54),B_46))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_20))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_20,A_54)),times_times_int(C_20,B_46))))).
% 5.89/5.97  all C_19 A_53 B_45 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_53),B_45))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_19))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_53,C_19)),times_times_nat(B_45,C_19))))).
% 5.89/5.97  all C_19 A_53 B_45 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_53),B_45))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_19))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_53,C_19)),times_times_int(B_45,C_19))))).
% 5.89/5.97  all B_44 A_52 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_52),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_44),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_52,B_44))))).
% 5.89/5.97  all B_43 A_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_51),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_43))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_51,B_43)),zero_zero_nat)))).
% 5.89/5.97  all B_43 A_51 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_51),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_43))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_51,B_43)),zero_zero_int)))).
% 5.89/5.97  all Aa Ba C_4 (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,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)))).
% 5.89/5.97  all B_42 A_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(B_42,A_50)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_50))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_42)))).
% 5.89/5.97  all B_42 A_50 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(B_42,A_50)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_50))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_42)))).
% 5.89/5.97  all A_49 B_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A_49,B_41)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_49))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_41)))).
% 5.89/5.97  all A_49 B_41 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_49,B_41)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_49))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_41)))).
% 5.89/5.97  all B_40 A_48 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_48))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_40),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(B_40,A_48)),zero_zero_nat)))).
% 5.89/5.97  all B_40 A_48 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_48))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_40),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(B_40,A_48)),zero_zero_int)))).
% 5.89/5.97  all B_39 A_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_47))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_39),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_47,B_39)),zero_zero_nat)))).
% 5.89/5.97  all B_39 A_47 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_47))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_39),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_47,B_39)),zero_zero_int)))).
% 5.89/5.97  all B_38 A_46 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_46))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_38))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A_46,B_38))))).
% 5.89/5.97  all B_38 A_46 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_46))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_38))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_46,B_38))))).
% 5.89/5.97  all Aa Ba C_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)))).
% 5.89/5.97  all C_4 Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|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,Ba),Aa))).
% 5.89/5.97  all Aa C_4 Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|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,Ba),Aa))).
% 5.89/5.97  all A_45 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_45,A_45)),zero_zero_int))).
% 5.89/5.97  all B_37 A_44 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_44),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_37),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_44,B_37)),zero_zero_nat)))).
% 5.89/5.97  all B_37 A_44 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_44),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_37),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_44,B_37)),zero_zero_int)))).
% 5.89/5.97  all B_36 A_43 C_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_18))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_36),A_43))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_36),plus_plus_nat(A_43,C_18))))).
% 5.89/5.97  all B_36 A_43 C_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_36),A_43))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_36),plus_plus_int(A_43,C_18))))).
% 5.89/5.97  all B_35 C_17 A_42 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_42))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_35),C_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_35),plus_plus_nat(A_42,C_17))))).
% 5.89/5.97  all B_35 C_17 A_42 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_42))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_35),C_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_35),plus_plus_int(A_42,C_17))))).
% 5.89/5.97  all Y_3 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_3))-> (plus_plus_nat(X_1,Y_3)=zero_zero_nat<->X_1=zero_zero_nat&Y_3=zero_zero_nat))).
% 5.89/5.97  all Y_3 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_3))-> (plus_plus_int(X_1,Y_3)=zero_zero_int<->X_1=zero_zero_int&Y_3=zero_zero_int))).
% 5.89/5.97  all B_34 A_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_41))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_34))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),plus_plus_nat(A_41,B_34))))).
% 5.89/5.97  all B_34 A_41 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_41))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_34))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(A_41,B_34))))).
% 5.89/5.97  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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))).
% 5.89/5.97  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(Aa,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))).
% 5.89/5.97  all B_33 A_40 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_40),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_33),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_40,B_33)),zero_zero_nat)))).
% 5.89/5.97  all B_33 A_40 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_40),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_33),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_40,B_33)),zero_zero_int)))).
% 5.89/5.97  all B_32 C_16 A_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_39))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_32),C_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_32),plus_plus_nat(A_39,C_16))))).
% 5.89/5.97  all B_32 C_16 A_39 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_39))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_32),C_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_32),plus_plus_int(A_39,C_16))))).
% 5.89/5.97  all B_31 A_38 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_38))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_31))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_38,B_31))))).
% 5.89/5.97  all B_31 A_38 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_38))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_38,B_31))))).
% 5.89/5.97  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int))).
% 5.89/5.97  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int))).
% 5.89/5.97  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(Aa,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa))).
% 5.89/5.97  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 5.89/5.97  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.89/5.97  -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 5.89/5.97  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 5.89/5.97  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 5.89/5.97  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.89/5.97  -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 5.89/5.97  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 5.89/5.97  all Aa Ba (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,minus_minus_int(Aa,Ba)),zero_zero_int))).
% 5.89/5.97  all C_15 D_8 A_37 B_30 R_3 (R_3!=zero_zero_nat-> (A_37=B_30&C_15!=D_8->plus_plus_nat(A_37,times_times_nat(R_3,C_15))!=plus_plus_nat(B_30,times_times_nat(R_3,D_8)))).
% 5.89/5.97  all C_15 D_8 A_37 B_30 R_3 (R_3!=zero_zero_int-> (A_37=B_30&C_15!=D_8->plus_plus_int(A_37,times_times_int(R_3,C_15))!=plus_plus_int(B_30,times_times_int(R_3,D_8)))).
% 5.89/5.97  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(Aa,Ba)),zero_zero_int))).
% 5.89/5.97  all A_19 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_19))-> (X!=minus_minus_int(A_19,one_one_int)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),minus_minus_int(A_19,one_one_int)))))).
% 5.89/5.97  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.89/5.97  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,times_times_int(K,I)),times_times_int(K,J))))).
% 5.89/5.97  all Z (plus_plus_int(plus_plus_int(one_one_int,Z),Z)!=zero_zero_int).
% 5.89/5.97  all K_1 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K_1,L_1)),zero_zero_int))).
% 5.89/5.97  all C_14 A_36 B_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_14,A_36)),times_times_nat(C_14,B_29)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_14))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_36),B_29)))).
% 5.89/5.97  all C_14 A_36 B_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_14,A_36)),times_times_int(C_14,B_29)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_14))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_36),B_29)))).
% 5.89/5.97  all A_35 C_13 B_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_35,C_13)),times_times_nat(B_28,C_13)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_35),B_28)))).
% 5.89/5.97  all A_35 C_13 B_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_35,C_13)),times_times_int(B_28,C_13)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_35),B_28)))).
% 5.89/5.97  all C_12 A_34 B_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_12,A_34)),times_times_nat(C_12,B_27)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_34),B_27)))).
% 5.89/5.97  all C_12 A_34 B_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_12,A_34)),times_times_int(C_12,B_27)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_34),B_27)))).
% 5.89/5.97  all C_11 A_33 B_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_11,A_33)),times_times_nat(C_11,B_26)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_33),B_26)))).
% 5.89/5.97  all C_11 A_33 B_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_11,A_33)),times_times_int(C_11,B_26)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_11))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_33),B_26)))).
% 5.89/5.97  all A_32 C_10 B_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_32,C_10)),times_times_nat(B_25,C_10)))-> (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_nat,A_32),B_25)))).
% 5.89/5.97  all A_32 C_10 B_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_32,C_10)),times_times_int(B_25,C_10)))-> (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_int,A_32),B_25)))).
% 5.89/5.97  all A_31 C_9 B_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_31,C_9)),times_times_nat(B_24,C_9)))-> (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_nat,A_31),B_24)))).
% 5.89/5.97  all A_31 C_9 B_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_31,C_9)),times_times_int(B_24,C_9)))-> (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_int,A_31),B_24)))).
% 5.89/5.97  all C_8 D_7 A_30 B_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_30),B_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_8),D_7))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_30))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_30,C_8)),times_times_nat(B_23,D_7))))))).
% 5.89/5.97  all C_8 D_7 A_30 B_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_30),B_23))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_8),D_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_30))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_30,C_8)),times_times_int(B_23,D_7))))))).
% 5.89/5.97  all C_7 D_6 A_29 B_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_29),B_22))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_7),D_6))-> (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_nat,zero_zero_nat),C_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_29,C_7)),times_times_nat(B_22,D_6))))))).
% 5.89/5.97  all C_7 D_6 A_29 B_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_29),B_22))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_7),D_6))-> (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_int,zero_zero_int),C_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_29,C_7)),times_times_int(B_22,D_6))))))).
% 5.89/5.97  all C_6 D_5 A_28 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_28),B_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_6),D_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_28))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_28,C_6)),times_times_nat(B_21,D_5))))))).
% 5.89/5.97  all C_6 D_5 A_28 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_28),B_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_6),D_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_28))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_28,C_6)),times_times_int(B_21,D_5))))))).
% 5.89/5.97  all C_5 D_4 A_27 B_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_27),B_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_5),D_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_27,C_5)),times_times_nat(B_20,D_4))))))).
% 5.89/5.97  all C_5 D_4 A_27 B_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_27),B_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_5),D_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_27,C_5)),times_times_int(B_20,D_4))))))).
% 5.89/5.97  all Aa Ba C_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)))).
% 5.89/5.97  all Aa Ba C_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)))).
% 5.89/5.97  all B_19 A_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_26),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_19),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_26,B_19)),zero_zero_nat)))).
% 5.89/5.97  all B_19 A_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_19),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_26,B_19)),zero_zero_int)))).
% 5.89/5.97  all B_18 A_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_25),zero_zero_nat))-> (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_nat,plus_plus_nat(A_25,B_18)),zero_zero_nat)))).
% 5.89/5.97  all B_18 A_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_25),zero_zero_int))-> (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_int,plus_plus_int(A_25,B_18)),zero_zero_int)))).
% 5.89/5.97  all B_17 C_3 A_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_24))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_17),C_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_17),plus_plus_nat(A_24,C_3))))).
% 5.89/5.97  all B_17 C_3 A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_24))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_17),C_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_17),plus_plus_int(A_24,C_3))))).
% 5.89/5.97  all B_16 C_2 A_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_16),C_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_16),plus_plus_nat(A_23,C_2))))).
% 5.89/5.97  all B_16 C_2 A_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_23))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_16),C_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_16),plus_plus_int(A_23,C_2))))).
% 5.89/5.97  all B_15 A_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_22))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_22,B_15))))).
% 5.89/5.97  all B_15 A_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_22))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_22,B_15))))).
% 5.89/5.97  all B_14 A_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_14))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_21,B_14))))).
% 5.89/5.97  all B_14 A_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_14))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_21,B_14))))).
% 5.89/5.97  all Y_7 X_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_7),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(Y_7,X_8)),X_8))))).
% 5.89/5.97  all Y_6 X_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(X_7,Y_6)),X_7))))).
% 5.89/5.97  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(one_one_nat,one_one_nat))).
% 5.89/5.97  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,one_one_int))).
% 5.89/5.97  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))).
% 5.89/5.97  all N_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (times_times_int(M_1,N_1)=one_one_int<->M_1=one_one_int&N_1=one_one_int)).
% 5.89/5.97  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int))).
% 5.89/5.97  all V U Y_5 X_6 A_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_6),A_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_5),A_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V))-> (plus_plus_int(U,V)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(U,X_6),times_times_int(V,Y_5))),A_20))))))).
% 5.89/5.97  all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,Z)))).
% 5.89/5.97  all R_1 Q A_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_19))-> (A_19=plus_plus_int(R_1,times_times_int(A_19,Q))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),A_19))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q))))).
% 5.89/5.97  all R_1 Q A_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_19))-> (A_19=plus_plus_int(R_1,times_times_int(A_19,Q))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),one_one_int))))).
% 5.89/5.97  all B_13 Q_1 R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_13,Q_1),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1))))).
% 5.89/5.97  all B_13 Q_1 R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_13,Q_1),R_2)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),zero_zero_int))))).
% 5.89/5.97  all B Q R_1 B_13 Q_1 R_2 (plus_plus_int(times_times_int(B,Q),R_1)=plus_plus_int(times_times_int(B_13,Q_1),R_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_13,Q_1),R_2)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_13),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)))))))).
% 5.89/5.97  all B Q_1 R_2 Q R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B,Q_1),R_2)),plus_plus_int(times_times_int(B,Q),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)))))).
% 5.89/5.97  all B Q R_1 B_13 Q_1 R_2 (plus_plus_int(times_times_int(B,Q),R_1)=plus_plus_int(times_times_int(B_13,Q_1),R_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_13,Q_1),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_13))-> (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_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_13),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)))))))).
% 5.89/5.97  all B Q_1 R_2 Q R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B,Q_1),R_2)),plus_plus_int(times_times_int(B,Q),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)))))).
% 5.89/5.97  all M R_1 S T N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (xzgcd(M,N)=produc282740534nt_int(R_1,product_Pair_int_int(S,T))->R_1=plus_plus_int(times_times_int(S,M),times_times_int(T,N)))).
% 5.89/5.97  all X_5 Y_4 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(X_5,X_5),times_times_int(Y_4,Y_4))),zero_zero_int))).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))))<->X_1!=zero_zero_int|Y_3!=zero_zero_int).
% 5.89/5.97  all X_1 Y_3 (plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))=zero_zero_int<->X_1=zero_zero_int&Y_3=zero_zero_int).
% 5.89/5.97  all X_1 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))),zero_zero_int))<->X_1=zero_zero_int&Y_3=zero_zero_int).
% 5.89/5.97  all X_4 Y_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(X_4,X_4),times_times_int(Y_2,Y_2)))).
% 5.89/5.97  all M N R_2 S_1 S T_5 T Rn Sn Tn R_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_1))-> (xzgcda(M,N,R_2,R_1,S_1,S,T_5,T)=produc282740534nt_int(Rn,product_Pair_int_int(Sn,Tn))-> (R_2=plus_plus_int(times_times_int(S_1,M),times_times_int(T_5,N))-> (R_1=plus_plus_int(times_times_int(S,M),times_times_int(T,N))->Rn=plus_plus_int(times_times_int(Sn,M),times_times_int(Tn,N)))))).
% 5.89/5.97  all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(X,Y))))).
% 5.89/5.98  all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(X,Y))))).
% 5.89/5.98  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 5.89/5.98  all M N (xzgcd(M,N)=xzgcda(M,N,M,N,one_one_int,zero_zero_int,zero_zero_int,one_one_int)).
% 5.89/5.98  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.89/5.98  all B A_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_19,B)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)))).
% 5.89/5.98  all K_1 P D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))-> ((all X_3 (hBOOL(hAPP_int_bool(P,X_3))->hBOOL(hAPP_int_bool(P,minus_minus_int(X_3,D_3)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X_3 (hBOOL(hAPP_int_bool(P,X_3))->hBOOL(hAPP_int_bool(P,minus_minus_int(X_3,times_times_int(K_1,D_3))))))))).
% 5.89/5.98  all K_1 P D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))-> ((all X_3 (hBOOL(hAPP_int_bool(P,X_3))->hBOOL(hAPP_int_bool(P,plus_plus_int(X_3,D_3)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X_3 (hBOOL(hAPP_int_bool(P,X_3))->hBOOL(hAPP_int_bool(P,plus_plus_int(X_3,times_times_int(K_1,D_3))))))))).
% 5.89/5.98  all P_1 P X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(P)<->hBOOL(P_1)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P_1)))).
% 5.89/5.98  all P_1 P X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(P)<->hBOOL(P_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P_1))).
% 5.89/5.98  all T_4 exists Z_2 all X_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),Z_2))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_4),X_3))).
% 5.89/5.98  all T_4 exists Z_2 all X_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),Z_2))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_4),X_3))).
% 5.89/5.98  all T_3 exists Z_2 all X_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_3),X_3))).
% 5.89/5.98  all T_3 exists Z_2 all X_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),X_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_3),X_3))).
% 5.89/5.98  all T_2 exists Z_2 all X_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_3))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),T_2))).
% 5.89/5.98  all T_2 exists Z_2 all X_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),X_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),T_2))).
% 5.89/5.98  all T_1 exists Z_2 all X_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),Z_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),T_1))).
% 5.89/5.98  all T_1 exists Z_2 all X_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),Z_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),T_1))).
% 5.89/5.98  all A_19 B Q R_1 (A_19=plus_plus_int(times_times_int(B,Q),R_1)-> ((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_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),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_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1))))).
% 5.89/5.98  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)))).
% 5.89/5.98  all A_19 Q R_1 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,A_19),product_Pair_int_int(Q,R_1)))-> (A_19!=zero_zero_int->R_1=zero_zero_int)).
% 5.89/5.98  all Q_1 R_2 A_19 B Q R_1 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q_1,R_2)))-> (B!=zero_zero_int->Q=Q_1))).
% 5.89/5.98  all Q_1 R_2 A_19 B Q R_1 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q_1,R_2)))-> (B!=zero_zero_int->R_1=R_2))).
% 5.89/5.98  all A_19 Q R_1 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,A_19),product_Pair_int_int(Q,R_1)))-> (A_19!=zero_zero_int->Q=one_one_int)).
% 5.89/5.98  all P P1 D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))-> ((all X_3 K_2 (hBOOL(hAPP_int_bool(P1,X_3))<->hBOOL(hAPP_int_bool(P1,minus_minus_int(X_3,times_times_int(K_2,D_3))))))-> ((exists Z_2 all X_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),Z_2))-> (hBOOL(hAPP_int_bool(P,X_3))<->hBOOL(hAPP_int_bool(P1,X_3)))))-> ((exists X1 hBOOL(hAPP_int_bool(P1,X1)))-> (exists X1 hBOOL(hAPP_int_bool(P,X1))))))).
% 5.89/5.98  all P P_1 D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))-> ((all X_3 K_2 (hBOOL(hAPP_int_bool(P_1,X_3))<->hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_3,times_times_int(K_2,D_3))))))-> ((exists Z_2 all X_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),X_3))-> (hBOOL(hAPP_int_bool(P,X_3))<->hBOOL(hAPP_int_bool(P_1,X_3)))))-> ((exists X1 hBOOL(hAPP_int_bool(P_1,X1)))-> (exists X1 hBOOL(hAPP_int_bool(P,X1))))))).
% 5.89/5.98  all Y X ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->nat_tsub(X,Y)=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)).
% 5.89/5.98  all N ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))->zfact(N)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))->zfact(N)=times_times_int(N,zfact(minus_minus_int(N,one_one_int))))).
% 5.89/5.98  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))))).
% 5.89/5.98  all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->nat_tsub(X,Y)=minus_minus_int(X,Y)).
% 5.89/5.98  all B 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_int,zero_zero_int),B))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),posDivAlg(A_19,B))))).
% 5.89/5.98  all X Z D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D))),Z))).
% 5.89/5.98  all Aa (abs_abs_int(Aa)=zero_zero_int<->Aa=zero_zero_int).
% 5.89/5.98  abs_abs_int(zero_zero_int)=zero_zero_int.
% 5.89/5.98  all A_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_18))->abs_abs_int(A_18)=A_18).
% 5.89/5.98  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(Aa)),zero_zero_int))<->Aa=zero_zero_int).
% 5.89/5.98  all A_17 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),abs_abs_int(A_17))).
% 5.89/5.98  all A_16 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_16))->abs_abs_int(A_16)=A_16).
% 5.89/5.98  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),abs_abs_int(Aa)))<->Aa!=zero_zero_int).
% 5.89/5.98  all A_15 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A_15)),zero_zero_int))).
% 5.89/5.98  all B_12 D_2 A_14 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A_14)),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(B_12)),D_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(abs_abs_int(A_14),abs_abs_int(B_12))),times_times_int(C_1,D_2))))).
% 5.89/5.98  all A_13 B_11 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(plus_plus_int(A_13,B_11))),plus_plus_int(abs_abs_int(A_13),abs_abs_int(B_11)))).
% 5.89/5.98  all A_12 B_10 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(abs_abs_int(A_12),abs_abs_int(B_10)))),abs_abs_int(minus_minus_int(A_12,B_10)))).
% 5.89/5.98  all A_11 B_9 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(abs_abs_int(A_11),abs_abs_int(B_9))),abs_abs_int(minus_minus_int(A_11,B_9)))).
% 5.89/5.98  all A_10 B_8 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(abs_abs_int(A_10),abs_abs_int(B_8))),abs_abs_int(minus_minus_int(B_8,A_10)))).
% 5.89/5.98  all M N (abs_abs_int(times_times_int(M,N))=one_one_int->abs_abs_int(M)=one_one_int).
% 5.89/5.98  all A_9 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),abs_abs_int(A_9))).
% 5.89/5.98  all A_8 B_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(A_8)),B_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_8),B_7))).
% 5.89/5.98  all A_7 B_6 (abs_abs_int(times_times_int(A_7,B_6))=times_times_int(abs_abs_int(A_7),abs_abs_int(B_6))).
% 5.89/5.98  all A_6 (times_times_int(abs_abs_int(A_6),abs_abs_int(A_6))=times_times_int(A_6,A_6)).
% 5.89/5.98  all A_5 B_5 (abs_abs_int(plus_plus_int(abs_abs_int(A_5),abs_abs_int(B_5)))=plus_plus_int(abs_abs_int(A_5),abs_abs_int(B_5))).
% 5.89/5.98  abs_abs_int(one_one_int)=one_one_int.
% 5.89/5.98  all A_4 B_4 (abs_abs_int(minus_minus_int(A_4,B_4))=abs_abs_int(minus_minus_int(B_4,A_4))).
% 5.89/5.98  all A_3 (abs_abs_int(abs_abs_int(A_3))=abs_abs_int(A_3)).
% 5.89/5.98  all Y_1 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->times_times_int(abs_abs_int(Y_1),X_2)=abs_abs_int(times_times_int(Y_1,X_2))).
% 5.89/5.98  all B_3 A_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),zero_zero_int)))->abs_abs_int(times_times_int(A_2,B_3))=times_times_int(abs_abs_int(A_2),abs_abs_int(B_3))).
% 5.89/5.98  all A_1 B_2 C D_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(plus_plus_int(A_1,B_2),plus_plus_int(C,D_1)))),plus_plus_int(abs_abs_int(minus_minus_int(A_1,C)),abs_abs_int(minus_minus_int(B_2,D_1))))).
% 5.89/5.98  all A B_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(A,B_1))),plus_plus_int(abs_abs_int(A),abs_abs_int(B_1)))).
% 5.89/5.98  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))<->Z_1=zero_zero_int).
% 5.89/5.98  all B (posDivAlg(zero_zero_int,B)=product_Pair_int_int(zero_zero_int,zero_zero_int)).
% 5.89/5.98  all Z X D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),plus_plus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D))))).
% 5.89/5.98  all X_1 Aa R (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(X_1,Aa))),R))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(Aa,R)),X_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),plus_plus_int(Aa,R)))).
% 5.89/5.98  all K L ((L=zero_zero_int->pdivmod(K,L)=product_Pair_int_int(zero_zero_int,abs_abs_int(K)))& (L!=zero_zero_int->pdivmod(K,L)=posDivAlg(abs_abs_int(K),abs_abs_int(L)))).
% 5.89/5.98  all K_1 F N_1 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat(I_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_1)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N_1))&hAPP_nat_int(F,I_2)=K_1))))).
% 5.89/5.98  all K_1 F N_1 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat(I_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_1)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N_1))&hAPP_nat_int(F,I_2)=K_1))))).
% 5.89/5.98  all N M ((M=zero_zero_nat->times_times_nat(M,N)=zero_zero_nat)& (M!=zero_zero_nat->times_times_nat(M,N)=plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)))).
% 5.89/5.98  all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 5.89/5.98  all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 5.89/5.98  all M N (times_times_nat(M,N)=times_times_nat(N,M)).
% 5.89/5.98  all M N K (times_times_nat(times_times_nat(M,N),K)=times_times_nat(M,times_times_nat(N,K))).
% 5.89/5.98  all M N K (times_times_nat(minus_minus_nat(M,N),K)=minus_minus_nat(times_times_nat(M,K),times_times_nat(N,K))).
% 5.89/5.98  all I J K (minus_minus_nat(minus_minus_nat(I,J),K)=minus_minus_nat(minus_minus_nat(I,K),J)).
% 5.89/5.98  all K M N (times_times_nat(K,minus_minus_nat(M,N))=minus_minus_nat(times_times_nat(K,M),times_times_nat(K,N))).
% 5.89/5.98  all N (times_times_nat(zero_zero_nat,N)=zero_zero_nat).
% 5.89/5.98  all M (times_times_nat(M,zero_zero_nat)=zero_zero_nat).
% 5.89/5.98  all M_1 N_1 (times_times_nat(M_1,N_1)=zero_zero_nat<->M_1=zero_zero_nat|N_1=zero_zero_nat).
% 5.89/5.98  all K_1 M_1 N_1 (times_times_nat(K_1,M_1)=times_times_nat(K_1,N_1)<->M_1=N_1|K_1=zero_zero_nat).
% 5.89/5.98  all M_1 K_1 N_1 (times_times_nat(M_1,K_1)=times_times_nat(N_1,K_1)<->M_1=N_1|K_1=zero_zero_nat).
% 5.89/5.98  all M N (minus_minus_nat(M,N)=zero_zero_nat-> (minus_minus_nat(N,M)=zero_zero_nat->M=N)).
% 5.89/5.98  all M (minus_minus_nat(M,M)=zero_zero_nat).
% 5.89/5.98  all M (minus_minus_nat(M,zero_zero_nat)=M).
% 5.89/5.98  all N (minus_minus_nat(zero_zero_nat,N)=zero_zero_nat).
% 5.89/5.98  all N J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(J,N)),K))).
% 5.89/5.98  all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))))).
% 5.89/5.98  all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 5.89/5.98  all M_1 N_1 (M_1!=N_1<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))).
% 5.89/5.98  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)))).
% 5.89/5.98  all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 5.89/5.98  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))->M!=N).
% 5.89/5.98  all S T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))->S!=T).
% 5.89/5.98  all P M_1 N_1 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P,N_1),M_1)))-> ((M_1=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P,N_1),M_1)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P,N_1),M_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P,N_1),M_1))))).
% 5.89/5.98  all M N (plus_plus_nat(M,N)=plus_plus_nat(N,M)).
% 5.89/5.98  all X Y Z (plus_plus_nat(X,plus_plus_nat(Y,Z))=plus_plus_nat(Y,plus_plus_nat(X,Z))).
% 5.89/5.98  all K M N (times_times_nat(K,plus_plus_nat(M,N))=plus_plus_nat(times_times_nat(K,M),times_times_nat(K,N))).
% 5.89/5.98  all M N K (plus_plus_nat(plus_plus_nat(M,N),K)=plus_plus_nat(M,plus_plus_nat(N,K))).
% 5.89/5.98  all M N K (times_times_nat(plus_plus_nat(M,N),K)=plus_plus_nat(times_times_nat(M,K),times_times_nat(N,K))).
% 5.89/5.98  all K_1 M_1 N_1 (plus_plus_nat(K_1,M_1)=plus_plus_nat(K_1,N_1)<->M_1=N_1).
% 5.89/5.98  all M_1 K_1 N_1 (plus_plus_nat(M_1,K_1)=plus_plus_nat(N_1,K_1)<->M_1=N_1).
% 5.89/5.98  all M K N (minus_minus_nat(plus_plus_nat(M,K),plus_plus_nat(N,K))=minus_minus_nat(M,N)).
% 5.89/5.98  all K M N (minus_minus_nat(plus_plus_nat(K,M),plus_plus_nat(K,N))=minus_minus_nat(M,N)).
% 5.89/5.98  all I J K (minus_minus_nat(minus_minus_nat(I,J),K)=minus_minus_nat(I,plus_plus_nat(J,K))).
% 5.89/5.98  all N M (minus_minus_nat(plus_plus_nat(N,M),N)=M).
% 5.89/5.98  all M N (minus_minus_nat(plus_plus_nat(M,N),N)=M).
% 5.89/5.98  all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,N)),M)).
% 5.89/5.98  all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M)))).
% 5.89/5.98  all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,L)),minus_minus_nat(N,L)))).
% 5.89/5.98  all I N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N))->minus_minus_nat(N,minus_minus_nat(N,I))=I).
% 5.89/5.98  all N_1 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_1))-> (minus_minus_nat(M_1,K_1)=minus_minus_nat(N_1,K_1)<->M_1=N_1))).
% 5.89/5.98  all N 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))->minus_minus_nat(minus_minus_nat(M,K),minus_minus_nat(N,K))=minus_minus_nat(M,N))).
% 5.89/5.98  all N_1 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_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M_1,K_1)),minus_minus_nat(N_1,K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))))).
% 5.89/5.98  all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 5.89/5.98  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 5.89/5.98  all M N (M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 5.89/5.98  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)))).
% 5.89/5.98  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->M=N)).
% 5.89/5.98  all K L 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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(I,K)),times_times_nat(J,L))))).
% 5.89/5.98  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,times_times_nat(K,I)),times_times_nat(K,J)))).
% 5.89/5.98  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,times_times_nat(I,K)),times_times_nat(J,K)))).
% 5.89/5.98  all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,times_times_nat(M,M)))).
% 5.89/5.98  all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,M))).
% 5.89/5.98  all N (times_times_nat(one_one_nat,N)=N).
% 5.89/5.98  all M_1 N_1 (one_one_nat=times_times_nat(M_1,N_1)<->M_1=one_one_nat&N_1=one_one_nat).
% 5.89/5.98  all N (times_times_nat(N,one_one_nat)=N).
% 5.89/5.98  all M_1 N_1 (times_times_nat(M_1,N_1)=one_one_nat<->M_1=one_one_nat&N_1=one_one_nat).
% 5.89/5.98  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(N_1,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 5.89/5.98  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(M,N)),M)))).
% 5.89/5.98  all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 5.89/5.98  all N_1 (N_1!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 5.89/5.98  all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 5.89/5.98  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->N!=zero_zero_nat).
% 5.89/5.98  all N (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 5.89/5.98  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,times_times_nat(K,I)),times_times_nat(K,J))))).
% 5.89/5.98  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,times_times_nat(I,K)),times_times_nat(J,K))))).
% 5.89/5.98  all M_1 K_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(M_1,K_1)),times_times_nat(N_1,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_1))).
% 5.89/5.98  all K_1 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,M_1)),times_times_nat(K_1,N_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_1))).
% 5.89/5.98  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(M_1,N_1)))<->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_1))).
% 5.89/5.98  all N (plus_plus_nat(zero_zero_nat,N)=N).
% 5.89/5.98  all M (plus_plus_nat(M,zero_zero_nat)=M).
% 5.89/5.98  all M_1 N_1 (plus_plus_nat(M_1,N_1)=zero_zero_nat<->M_1=zero_zero_nat&N_1=zero_zero_nat).
% 5.89/5.98  all M N (plus_plus_nat(M,N)=M->N=zero_zero_nat).
% 5.89/5.98  all N M (minus_minus_nat(N,plus_plus_nat(N,M))=zero_zero_nat).
% 5.89/5.98  all M_1 N_1 (minus_minus_nat(M_1,N_1)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 5.89/5.98  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->minus_minus_nat(M,N)=zero_zero_nat).
% 5.89/5.98  all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 5.89/5.98  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),zero_zero_nat))<->N_1=zero_zero_nat).
% 5.89/5.98  all I_1 J_1 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J_1,K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K_1)),J_1))).
% 5.89/5.98  all M N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->plus_plus_nat(N,minus_minus_nat(M,N))=M).
% 5.89/5.98  all I J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I,J)),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))).
% 5.89/5.98  all M N K L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))-> (plus_plus_nat(M,L)=plus_plus_nat(K,N)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 5.89/5.98  all K L 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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I,K)),plus_plus_nat(J,L))))).
% 5.89/5.98  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,plus_plus_nat(I,K)),plus_plus_nat(J,K)))).
% 5.89/5.98  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),plus_plus_nat(M,J)))).
% 5.89/5.98  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),plus_plus_nat(J,M)))).
% 5.89/5.98  times_times_int(twoSqu140629262sum2sq(product_Pair_int_int(a,b)),twoSqu140629262sum2sq(product_Pair_int_int(p,q)))!=twoSqu140629262sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(a,p),times_times_int(b,q)),minus_minus_int(times_times_int(a,q),times_times_int(b,p)))).
% 5.89/5.98  end_of_list.
% 5.89/5.98  
% 5.89/5.98  -------> usable clausifies to:
% 5.89/5.98  
% 5.89/5.98  list(usable).
% 5.89/5.98  0 [] A=A.
% 5.89/5.98  0 [] is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 5.89/5.98  0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 5.89/5.98  0 [] is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 5.89/5.98  0 [] is_bool(hAPP_P178748804t_bool(B_1_1,B_2_1)).
% 5.89/5.98  0 [] plus_plus_int(times_times_int(minus_minus_int(A_19,times_times_int(R_1,B)),M),times_times_int(minus_minus_int(C_31,times_times_int(R_1,D)),N))=minus_minus_int(plus_plus_int(times_times_int(A_19,M),times_times_int(C_31,N)),times_times_int(R_1,plus_plus_int(times_times_int(B,M),times_times_int(D,N)))).
% 5.89/5.98  0 [] minus_minus_int(times_times_int(X_44,Y_43),times_times_int(A_146,B_112))=plus_plus_int(times_times_int(X_44,minus_minus_int(Y_43,B_112)),times_times_int(minus_minus_int(X_44,A_146),B_112)).
% 5.89/5.98  0 [] plus_plus_int(times_times_int(Aa,E),C_4)!=plus_plus_int(times_times_int(Ba,E),D_3)|C_4=plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3).
% 5.89/5.98  0 [] plus_plus_int(times_times_int(Aa,E),C_4)=plus_plus_int(times_times_int(Ba,E),D_3)|C_4!=plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3).
% 5.89/5.98  0 [] plus_plus_int(times_times_int(Aa,E),C_4)!=plus_plus_int(times_times_int(Ba,E),D_3)|plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)=D_3.
% 5.89/5.98  0 [] plus_plus_int(times_times_int(Aa,E),C_4)=plus_plus_int(times_times_int(Ba,E),D_3)|plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)!=D_3.
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(twoSqu142715416sum2sq,X_1))|twoSqu140629262sum2sq(product_Pair_int_int($f2(X_1),$f1(X_1)))=X_1.
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(twoSqu142715416sum2sq,X_1))|twoSqu140629262sum2sq(product_Pair_int_int(A_88,B_92))!=X_1.
% 5.89/5.98  0 [] minus_minus_int(A_19,B)!=C_31|A_19=plus_plus_int(C_31,B).
% 5.89/5.98  0 [] times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2)).
% 5.89/5.98  0 [] times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W)).
% 5.89/5.98  0 [] times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2)).
% 5.89/5.98  0 [] times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W)).
% 5.89/5.98  0 [] plus_plus_int(minus_minus_int(A_145,B_111),B_111)=A_145.
% 5.89/5.98  0 [] times_times_int(times_times_int(A_144,B_110),C_67)=times_times_int(A_144,times_times_int(B_110,C_67)).
% 5.89/5.98  0 [] times_times_nat(times_times_nat(A_144,B_110),C_67)=times_times_nat(A_144,times_times_nat(B_110,C_67)).
% 5.89/5.98  0 [] plus_plus_int(B_109,A_143)!=plus_plus_int(C_66,A_143)|B_109=C_66.
% 5.89/5.98  0 [] plus_plus_nat(B_109,A_143)!=plus_plus_nat(C_66,A_143)|B_109=C_66.
% 5.89/5.98  0 [] plus_plus_int(A_142,B_108)!=plus_plus_int(A_142,C_65)|B_108=C_65.
% 5.89/5.98  0 [] plus_plus_nat(A_142,B_108)!=plus_plus_nat(A_142,C_65)|B_108=C_65.
% 5.89/5.98  0 [] plus_plus_int(A_141,B_107)!=plus_plus_int(A_141,C_64)|B_107=C_64.
% 5.89/5.98  0 [] plus_plus_nat(A_141,B_107)!=plus_plus_nat(A_141,C_64)|B_107=C_64.
% 5.89/5.98  0 [] plus_plus_int(Ba,Aa)!=plus_plus_int(C_4,Aa)|Ba=C_4.
% 5.89/5.98  0 [] plus_plus_int(Ba,Aa)=plus_plus_int(C_4,Aa)|Ba!=C_4.
% 5.89/5.98  0 [] plus_plus_nat(Ba,Aa)!=plus_plus_nat(C_4,Aa)|Ba=C_4.
% 5.89/5.98  0 [] plus_plus_nat(Ba,Aa)=plus_plus_nat(C_4,Aa)|Ba!=C_4.
% 5.89/5.98  0 [] plus_plus_int(Aa,Ba)!=plus_plus_int(Aa,C_4)|Ba=C_4.
% 5.89/5.98  0 [] plus_plus_int(Aa,Ba)=plus_plus_int(Aa,C_4)|Ba!=C_4.
% 5.89/5.98  0 [] plus_plus_nat(Aa,Ba)!=plus_plus_nat(Aa,C_4)|Ba=C_4.
% 5.89/5.98  0 [] plus_plus_nat(Aa,Ba)=plus_plus_nat(Aa,C_4)|Ba!=C_4.
% 5.89/5.98  0 [] plus_plus_int(plus_plus_int(A_140,B_106),C_63)=plus_plus_int(A_140,plus_plus_int(B_106,C_63)).
% 5.89/5.98  0 [] plus_plus_nat(plus_plus_nat(A_140,B_106),C_63)=plus_plus_nat(A_140,plus_plus_nat(B_106,C_63)).
% 5.89/5.98  0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C_4,D_3)|Aa!=Ba|C_4=D_3.
% 5.89/5.98  0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C_4,D_3)|Aa=Ba|C_4!=D_3.
% 5.89/5.98  0 [] times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3)).
% 5.89/5.98  0 [] times_times_int(Z,W)=times_times_int(W,Z).
% 5.89/5.98  0 [] plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3)).
% 5.89/5.98  0 [] plus_plus_int(X,plus_plus_int(Y,Z))=plus_plus_int(Y,plus_plus_int(X,Z)).
% 5.89/5.98  0 [] plus_plus_int(Z,W)=plus_plus_int(W,Z).
% 5.89/5.98  0 [] plus_plus_int(times_times_int(A_139,E_1),plus_plus_int(times_times_int(B_105,E_1),C_62))=plus_plus_int(times_times_int(plus_plus_int(A_139,B_105),E_1),C_62).
% 5.89/5.98  0 [] plus_plus_nat(times_times_nat(A_139,E_1),plus_plus_nat(times_times_nat(B_105,E_1),C_62))=plus_plus_nat(times_times_nat(plus_plus_nat(A_139,B_105),E_1),C_62).
% 5.89/5.98  0 [] times_times_int(plus_plus_int(A_138,B_104),C_61)=plus_plus_int(times_times_int(A_138,C_61),times_times_int(B_104,C_61)).
% 5.89/5.98  0 [] times_times_nat(plus_plus_nat(A_138,B_104),C_61)=plus_plus_nat(times_times_nat(A_138,C_61),times_times_nat(B_104,C_61)).
% 5.89/5.98  0 [] minus_minus_int(plus_plus_int(A_137,C_60),plus_plus_int(B_103,D_18))=plus_plus_int(minus_minus_int(A_137,B_103),minus_minus_int(C_60,D_18)).
% 5.89/5.98  0 [] minus_minus_int(plus_plus_int(A_136,B_102),B_102)=A_136.
% 5.89/5.98  0 [] plus_plus_int(times_times_int(W_1,Y_3),times_times_int(X_1,Z_1))!=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_1,Y_3))|W_1=X_1|Y_3=Z_1.
% 5.89/5.98  0 [] plus_plus_int(times_times_int(W_1,Y_3),times_times_int(X_1,Z_1))=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_1,Y_3))|W_1!=X_1.
% 5.89/5.98  0 [] plus_plus_int(times_times_int(W_1,Y_3),times_times_int(X_1,Z_1))=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_1,Y_3))|Y_3!=Z_1.
% 5.89/5.98  0 [] plus_plus_nat(times_times_nat(W_1,Y_3),times_times_nat(X_1,Z_1))!=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_1,Y_3))|W_1=X_1|Y_3=Z_1.
% 5.89/5.98  0 [] plus_plus_nat(times_times_nat(W_1,Y_3),times_times_nat(X_1,Z_1))=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_1,Y_3))|W_1!=X_1.
% 5.89/5.98  0 [] plus_plus_nat(times_times_nat(W_1,Y_3),times_times_nat(X_1,Z_1))=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_1,Y_3))|Y_3!=Z_1.
% 5.89/5.98  0 [] plus_plus_int(times_times_int(A_135,M_6),times_times_int(B_101,M_6))=times_times_int(plus_plus_int(A_135,B_101),M_6).
% 5.89/5.98  0 [] plus_plus_nat(times_times_nat(A_135,M_6),times_times_nat(B_101,M_6))=times_times_nat(plus_plus_nat(A_135,B_101),M_6).
% 5.89/5.98  0 [] times_times_int(plus_plus_int(A_134,B_100),C_59)=plus_plus_int(times_times_int(A_134,C_59),times_times_int(B_100,C_59)).
% 5.89/5.98  0 [] times_times_nat(plus_plus_nat(A_134,B_100),C_59)=plus_plus_nat(times_times_nat(A_134,C_59),times_times_nat(B_100,C_59)).
% 5.89/5.98  0 [] Aa=Ba|C_4=D_3|plus_plus_int(times_times_int(Aa,C_4),times_times_int(Ba,D_3))!=plus_plus_int(times_times_int(Aa,D_3),times_times_int(Ba,C_4)).
% 5.89/5.98  0 [] Aa!=Ba|plus_plus_int(times_times_int(Aa,C_4),times_times_int(Ba,D_3))=plus_plus_int(times_times_int(Aa,D_3),times_times_int(Ba,C_4)).
% 5.89/5.98  0 [] C_4!=D_3|plus_plus_int(times_times_int(Aa,C_4),times_times_int(Ba,D_3))=plus_plus_int(times_times_int(Aa,D_3),times_times_int(Ba,C_4)).
% 5.89/5.98  0 [] Aa=Ba|C_4=D_3|plus_plus_nat(times_times_nat(Aa,C_4),times_times_nat(Ba,D_3))!=plus_plus_nat(times_times_nat(Aa,D_3),times_times_nat(Ba,C_4)).
% 5.89/5.98  0 [] Aa!=Ba|plus_plus_nat(times_times_nat(Aa,C_4),times_times_nat(Ba,D_3))=plus_plus_nat(times_times_nat(Aa,D_3),times_times_nat(Ba,C_4)).
% 5.89/5.98  0 [] C_4!=D_3|plus_plus_nat(times_times_nat(Aa,C_4),times_times_nat(Ba,D_3))=plus_plus_nat(times_times_nat(Aa,D_3),times_times_nat(Ba,C_4)).
% 5.89/5.98  0 [] times_times_int(X_43,plus_plus_int(Y_42,Z_12))=plus_plus_int(times_times_int(X_43,Y_42),times_times_int(X_43,Z_12)).
% 5.89/5.98  0 [] times_times_nat(X_43,plus_plus_nat(Y_42,Z_12))=plus_plus_nat(times_times_nat(X_43,Y_42),times_times_nat(X_43,Z_12)).
% 5.89/5.98  0 [] product_Pair_int_int(A_133,B_99)!=product_Pair_int_int(A_132,B_98)|A_133=A_132.
% 5.89/5.98  0 [] product_Pair_int_int(A_133,B_99)!=product_Pair_int_int(A_132,B_98)|B_99=B_98.
% 5.89/5.98  0 [] produc282740534nt_int(A_133,B_99)!=produc282740534nt_int(A_132,B_98)|A_133=A_132.
% 5.89/5.98  0 [] produc282740534nt_int(A_133,B_99)!=produc282740534nt_int(A_132,B_98)|B_99=B_98.
% 5.89/5.98  0 [] product_Pair_int_int(Aa,Ba)!=product_Pair_int_int(A_131,B_97)|Aa=A_131.
% 5.89/5.98  0 [] product_Pair_int_int(Aa,Ba)!=product_Pair_int_int(A_131,B_97)|Ba=B_97.
% 5.89/5.98  0 [] product_Pair_int_int(Aa,Ba)=product_Pair_int_int(A_131,B_97)|Aa!=A_131|Ba!=B_97.
% 5.89/5.98  0 [] produc282740534nt_int(Aa,Ba)!=produc282740534nt_int(A_131,B_97)|Aa=A_131.
% 5.89/5.98  0 [] produc282740534nt_int(Aa,Ba)!=produc282740534nt_int(A_131,B_97)|Ba=B_97.
% 5.89/5.98  0 [] produc282740534nt_int(Aa,Ba)=produc282740534nt_int(A_131,B_97)|Aa!=A_131|Ba!=B_97.
% 5.89/5.98  0 [] -hBOOL(hAPP_P603027463t_bool(P,$f3(P)))|hBOOL(hAPP_P603027463t_bool(P,product_Pair_int_int(A_88,B_92))).
% 5.89/5.98  0 [] hBOOL(hAPP_P603027463t_bool(P,X1))| -hBOOL(hAPP_P603027463t_bool(P,product_Pair_int_int($f5(P),$f4(P)))).
% 5.89/5.98  0 [] -hBOOL(hAPP_P178748804t_bool(P,$f6(P)))|hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int(A_88,B_92))).
% 5.89/5.98  0 [] hBOOL(hAPP_P178748804t_bool(P,X1))| -hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int($f8(P),$f7(P)))).
% 5.89/5.98  0 [] plus_plus_int(plus_plus_int(A_130,B_96),plus_plus_int(C_58,D_17))=plus_plus_int(plus_plus_int(A_130,C_58),plus_plus_int(B_96,D_17)).
% 5.89/5.98  0 [] plus_plus_nat(plus_plus_nat(A_130,B_96),plus_plus_nat(C_58,D_17))=plus_plus_nat(plus_plus_nat(A_130,C_58),plus_plus_nat(B_96,D_17)).
% 5.89/5.98  0 [] times_times_int(A_129,B_95)=times_times_int(B_95,A_129).
% 5.89/5.98  0 [] times_times_nat(A_129,B_95)=times_times_nat(B_95,A_129).
% 5.89/5.98  0 [] times_times_int(Lx_6,times_times_int(Rx_6,Ry_4))=times_times_int(Rx_6,times_times_int(Lx_6,Ry_4)).
% 5.89/5.98  0 [] times_times_nat(Lx_6,times_times_nat(Rx_6,Ry_4))=times_times_nat(Rx_6,times_times_nat(Lx_6,Ry_4)).
% 5.89/5.98  0 [] times_times_int(Lx_5,times_times_int(Rx_5,Ry_3))=times_times_int(times_times_int(Lx_5,Rx_5),Ry_3).
% 5.89/5.98  0 [] times_times_nat(Lx_5,times_times_nat(Rx_5,Ry_3))=times_times_nat(times_times_nat(Lx_5,Rx_5),Ry_3).
% 5.89/5.98  0 [] times_times_int(times_times_int(Lx_4,Ly_4),Rx_4)=times_times_int(Lx_4,times_times_int(Ly_4,Rx_4)).
% 5.89/5.98  0 [] times_times_nat(times_times_nat(Lx_4,Ly_4),Rx_4)=times_times_nat(Lx_4,times_times_nat(Ly_4,Rx_4)).
% 5.89/5.98  0 [] times_times_int(times_times_int(Lx_3,Ly_3),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_3).
% 5.89/5.98  0 [] times_times_nat(times_times_nat(Lx_3,Ly_3),Rx_3)=times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_3).
% 5.89/5.98  0 [] times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2))=times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2))).
% 5.89/5.98  0 [] times_times_nat(times_times_nat(Lx_2,Ly_2),times_times_nat(Rx_2,Ry_2))=times_times_nat(Lx_2,times_times_nat(Ly_2,times_times_nat(Rx_2,Ry_2))).
% 5.89/5.98  0 [] times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1))=times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1)).
% 5.89/5.98  0 [] times_times_nat(times_times_nat(Lx_1,Ly_1),times_times_nat(Rx_1,Ry_1))=times_times_nat(Rx_1,times_times_nat(times_times_nat(Lx_1,Ly_1),Ry_1)).
% 5.89/5.98  0 [] times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry))=times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry)).
% 5.89/5.98  0 [] times_times_nat(times_times_nat(Lx,Ly),times_times_nat(Rx,Ry))=times_times_nat(times_times_nat(Lx,Rx),times_times_nat(Ly,Ry)).
% 5.89/5.98  0 [] plus_plus_int(A_128,C_57)=plus_plus_int(C_57,A_128).
% 5.89/5.98  0 [] plus_plus_nat(A_128,C_57)=plus_plus_nat(C_57,A_128).
% 5.89/5.98  0 [] plus_plus_int(A_127,plus_plus_int(C_56,D_16))=plus_plus_int(C_56,plus_plus_int(A_127,D_16)).
% 5.89/5.98  0 [] plus_plus_nat(A_127,plus_plus_nat(C_56,D_16))=plus_plus_nat(C_56,plus_plus_nat(A_127,D_16)).
% 5.89/5.98  0 [] plus_plus_int(A_126,plus_plus_int(C_55,D_15))=plus_plus_int(plus_plus_int(A_126,C_55),D_15).
% 5.89/5.98  0 [] plus_plus_nat(A_126,plus_plus_nat(C_55,D_15))=plus_plus_nat(plus_plus_nat(A_126,C_55),D_15).
% 5.89/5.98  0 [] plus_plus_int(plus_plus_int(A_125,B_94),C_54)=plus_plus_int(A_125,plus_plus_int(B_94,C_54)).
% 5.89/5.98  0 [] plus_plus_nat(plus_plus_nat(A_125,B_94),C_54)=plus_plus_nat(A_125,plus_plus_nat(B_94,C_54)).
% 5.89/5.98  0 [] plus_plus_int(plus_plus_int(A_124,B_93),C_53)=plus_plus_int(plus_plus_int(A_124,C_53),B_93).
% 5.89/5.98  0 [] plus_plus_nat(plus_plus_nat(A_124,B_93),C_53)=plus_plus_nat(plus_plus_nat(A_124,C_53),B_93).
% 5.89/5.98  0 [] -hBOOL(hAPP_P603027463t_bool(P,X1))|hBOOL(hAPP_P603027463t_bool(P,product_Pair_int_int($f10(P),$f9(P)))).
% 5.89/5.98  0 [] hBOOL(hAPP_P603027463t_bool(P,$f11(P)))| -hBOOL(hAPP_P603027463t_bool(P,product_Pair_int_int(A_88,B_92))).
% 5.89/5.98  0 [] -hBOOL(hAPP_P178748804t_bool(P,X1))|hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int($f13(P),$f12(P)))).
% 5.89/5.98  0 [] hBOOL(hAPP_P178748804t_bool(P,$f14(P)))| -hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int(A_88,B_92))).
% 5.89/5.98  0 [] -hBOOL(hAPP_P178748804t_bool(P,produc282740534nt_int($f17(X_1,P),product_Pair_int_int($f16(X_1,P),$f15(X_1,P)))))|hBOOL(hAPP_P178748804t_bool(P,X_1)).
% 5.89/5.98  0 [] Y_41=produc282740534nt_int($f20(Y_41),product_Pair_int_int($f19(Y_41),$f18(Y_41))).
% 5.89/5.98  0 [] Y_40=product_Pair_int_int($f22(Y_40),$f21(Y_40)).
% 5.89/5.98  0 [] Y_40=produc282740534nt_int($f24(Y_40),$f23(Y_40)).
% 5.89/5.98  0 [] P_2=product_Pair_int_int($f26(P_2),$f25(P_2)).
% 5.89/5.98  0 [] P_2=produc282740534nt_int($f28(P_2),$f27(P_2)).
% 5.89/5.98  0 [] -hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))|hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba)))|hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)),D_3)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)),D_3)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_4),plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3))).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_4),plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3))).
% 5.89/5.98  0 [] minus_minus_int(times_times_int(X_42,X_42),one_one_int)=times_times_int(plus_plus_int(X_42,one_one_int),minus_minus_int(X_42,one_one_int)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)),D_3)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C_4)),D_3)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3))).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(Aa,E),C_4)),plus_plus_int(times_times_int(Ba,E),D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_3))).
% 5.89/5.98  0 [] one_one_int!=X_1|X_1=one_one_int.
% 5.89/5.98  0 [] one_one_int=X_1|X_1!=one_one_int.
% 5.89/5.98  0 [] one_one_nat!=X_1|X_1=one_one_nat.
% 5.89/5.98  0 [] one_one_nat=X_1|X_1!=one_one_nat.
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_1)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W_1,one_one_int)),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W_1,one_one_int)),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)).
% 5.89/5.98  0 [] X_41=Y_38|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_41),Y_38))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_38),X_41)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(W,one_one_int)),Z)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_40),Y_37))|X_40=Y_37|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_40),Y_37)).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_40),Y_37))|X_40=Y_37|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_40),Y_37)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1))|W_1=Z_1.
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),plus_plus_int(Z_1,one_one_int)))|W_1!=Z_1.
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_11),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(W_2,Z_11)),plus_plus_int(W,Z))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_123),B_91))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_51),D_14))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_123,C_51)),plus_plus_int(B_91,D_14))).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_123),B_91))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_51),D_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_123,C_51)),plus_plus_nat(B_91,D_14))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_122),B_90))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_50),D_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_122,C_50)),plus_plus_int(B_90,D_13))).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_122),B_90))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_50),D_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_122,C_50)),plus_plus_nat(B_90,D_13))).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_121),plus_plus_int(A_121,one_one_int))).
% 5.89/5.98  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_121),plus_plus_nat(A_121,one_one_nat))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),times_times_int(M_5,N_2))).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),times_times_nat(M_5,N_2))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),minus_minus_int(Z_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),minus_minus_int(Z_1,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,C_4)),plus_plus_int(Ba,C_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,C_4)),plus_plus_int(Ba,C_4)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(Aa,C_4)),plus_plus_nat(Ba,C_4)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 5.89/5.98  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(Aa,C_4)),plus_plus_nat(Ba,C_4)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_4,Aa)),plus_plus_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_4,Aa)),plus_plus_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_4,Aa)),plus_plus_nat(C_4,Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 5.89/5.98  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_4,Aa)),plus_plus_nat(C_4,Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_120),B_89))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_120,C_49)),plus_plus_int(B_89,C_49))).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_120),B_89))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_120,C_49)),plus_plus_nat(B_89,C_49))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_119),B_88))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_48,A_119)),plus_plus_int(C_48,B_88))).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_119),B_88))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_48,A_119)),plus_plus_nat(C_48,B_88))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_118),B_87))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_47),D_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_118,C_47)),plus_plus_int(B_87,D_12))).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_118),B_87))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_47),D_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_118,C_47)),plus_plus_nat(B_87,D_12))).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_117,C_46)),plus_plus_int(B_86,C_46)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_117),B_86)).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_117,C_46)),plus_plus_nat(B_86,C_46)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_117),B_86)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_45,A_116)),plus_plus_int(C_45,B_85)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_116),B_85)).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_45,A_116)),plus_plus_nat(C_45,B_85)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_116),B_85)).
% 5.89/5.98  0 [] times_times_int(one_one_int,A_115)=A_115.
% 5.89/5.98  0 [] times_times_nat(one_one_nat,A_115)=A_115.
% 5.89/5.98  0 [] times_times_int(A_114,one_one_int)=A_114.
% 5.89/5.98  0 [] times_times_nat(A_114,one_one_nat)=A_114.
% 5.89/5.98  0 [] times_times_int(one_one_int,A_113)=A_113.
% 5.89/5.98  0 [] times_times_nat(one_one_nat,A_113)=A_113.
% 5.89/5.98  0 [] times_times_int(one_one_int,A_112)=A_112.
% 5.89/5.98  0 [] times_times_nat(one_one_nat,A_112)=A_112.
% 5.89/5.98  0 [] times_times_int(A_111,one_one_int)=A_111.
% 5.89/5.98  0 [] times_times_nat(A_111,one_one_nat)=A_111.
% 5.89/5.98  0 [] times_times_int(A_110,one_one_int)=A_110.
% 5.89/5.98  0 [] times_times_nat(A_110,one_one_nat)=A_110.
% 5.89/5.98  0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C_4,D_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),D_3)).
% 5.89/5.98  0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C_4,D_3)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),D_3)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(Aa,C_4)),plus_plus_int(Ba,C_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 5.89/5.98  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(Aa,C_4)),plus_plus_int(Ba,C_4)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(Aa,C_4)),plus_plus_nat(Ba,C_4)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 5.89/5.98  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(Aa,C_4)),plus_plus_nat(Ba,C_4)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 5.89/5.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_4,Aa)),plus_plus_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_4,Aa)),plus_plus_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_4,Aa)),plus_plus_nat(C_4,Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_4,Aa)),plus_plus_nat(C_4,Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_109),B_84))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_109,C_44)),plus_plus_int(B_84,C_44))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_109),B_84))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_109,C_44)),plus_plus_nat(B_84,C_44))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_108),B_83))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_43,A_108)),plus_plus_int(C_43,B_83))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_108),B_83))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_43,A_108)),plus_plus_nat(C_43,B_83))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_107),B_82))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_42),D_11))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_107,C_42)),plus_plus_int(B_82,D_11))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_107),B_82))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_42),D_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_107,C_42)),plus_plus_nat(B_82,D_11))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_106,C_41)),plus_plus_int(B_81,C_41)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_106),B_81)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_106,C_41)),plus_plus_nat(B_81,C_41)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_106),B_81)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C_40,A_105)),plus_plus_int(C_40,B_80)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_105),B_80)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C_40,A_105)),plus_plus_nat(C_40,B_80)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_105),B_80)).
% 5.89/5.99  0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C_4,D_3)| -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_4),D_3)).
% 5.89/5.99  0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C_4,D_3)|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_4),D_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(I,K)),plus_plus_int(J,K))).
% 5.89/5.99  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,plus_plus_int(K,I)),plus_plus_int(K,J))).
% 5.89/5.99  0 [] times_times_int(one_one_int,Z)=Z.
% 5.89/5.99  0 [] times_times_int(Z,one_one_int)=Z.
% 5.89/5.99  0 [] plus_plus_int(M_4,M_4)=times_times_int(plus_plus_int(one_one_int,one_one_int),M_4).
% 5.89/5.99  0 [] plus_plus_nat(M_4,M_4)=times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),M_4).
% 5.89/5.99  0 [] plus_plus_nat(M_3,times_times_nat(A_104,M_3))=times_times_nat(plus_plus_nat(A_104,one_one_nat),M_3).
% 5.89/5.99  0 [] plus_plus_int(M_3,times_times_int(A_104,M_3))=times_times_int(plus_plus_int(A_104,one_one_int),M_3).
% 5.89/5.99  0 [] plus_plus_nat(times_times_nat(A_103,M_2),M_2)=times_times_nat(plus_plus_nat(A_103,one_one_nat),M_2).
% 5.89/5.99  0 [] plus_plus_int(times_times_int(A_103,M_2),M_2)=times_times_int(plus_plus_int(A_103,one_one_int),M_2).
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 5.89/5.99  0 [] hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(F,Aa),Ba))| -hBOOL(hAPP_P178748804t_bool(F,produc282740534nt_int(Aa,Ba))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(produc262399358t_bool(F,Aa),Ba))| -hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_39),X_39)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_39),X_39)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_36),X_38))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_10),Y_36))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_10),X_38)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_36),X_38))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_10),Y_36))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_10),X_38)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_37),Y_35))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_35),Z_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_37),Z_9)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_37),Y_35))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_35),Z_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_37),Z_9)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_34),X_36))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),Y_34))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_8),X_36)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_34),X_36))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),Y_34))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_8),X_36)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Y_33))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_33),Z_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Z_7)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Y_33))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_33),Z_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Z_7)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_79),A_102))|A_102=B_79|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_79),A_102)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_79),A_102))|A_102=B_79|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_79),A_102)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_101),B_78))|A_101=B_78|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_101),B_78)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_101),B_78))|A_101=B_78|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_101),B_78)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_34),Y_32))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_34),Y_32))|X_34=Y_32.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_34),Y_32))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_34),Y_32))|X_34=Y_32.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))|Z_1!=W_1.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W_1))|Z_1=W_1.
% 5.89/5.99  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)).
% 5.89/5.99  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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))|Z=W.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_33),Y_31))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_31),X_33)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_33),Y_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_31),X_33)).
% 5.89/5.99  0 [] X_1!=Y_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3)).
% 5.89/5.99  0 [] X_1!=Y_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1)).
% 5.89/5.99  0 [] X_1=Y_3| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1)).
% 5.89/5.99  0 [] X_1!=Y_3|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3)).
% 5.89/5.99  0 [] X_1!=Y_3|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1)).
% 5.89/5.99  0 [] X_1=Y_3| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1)).
% 5.89/5.99  0 [] X_32!=Y_30|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_32),Y_30)).
% 5.89/5.99  0 [] X_32!=Y_30|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_32),Y_30)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] A_100!=B_77| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_77),C_39))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_100),C_39)).
% 5.89/5.99  0 [] A_100!=B_77| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_77),C_39))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_100),C_39)).
% 5.89/5.99  0 [] A_99!=B_76| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_38),B_76))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_38),A_99)).
% 5.89/5.99  0 [] A_99!=B_76| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_38),B_76))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_38),A_99)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_98),B_75))|B_75!=C_37|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_98),C_37)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_98),B_75))|B_75!=C_37|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_98),C_37)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_74),A_97))|B_74!=C_36|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_36),A_97)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_74),A_97))|B_74!=C_36|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_36),A_97)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_31),Y_29))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_29),X_31))|X_31=Y_29.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_31),Y_29))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_29),X_31))|X_31=Y_29.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Y_28))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_28),Z_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Z_6)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_30),Y_28))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_28),Z_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_30),Z_6)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_27),X_29))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_29),Y_27))|X_29=Y_27.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_27),X_29))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_29),Y_27))|X_29=Y_27.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_26),X_28))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),Y_26))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),X_28)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_26),X_28))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),Y_26))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),X_28)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Y_25))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_25),X_27)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),Y_25))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_25),X_27)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_26),X_26)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_26),X_26)).
% 5.89/5.99  0 [] X_1=Y_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1)).
% 5.89/5.99  0 [] X_1!=Y_3| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3)).
% 5.89/5.99  0 [] X_1!=Y_3| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1)).
% 5.89/5.99  0 [] X_1=Y_3|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1)).
% 5.89/5.99  0 [] X_1!=Y_3| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3)).
% 5.89/5.99  0 [] X_1!=Y_3| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_25),Y_24))|X_25=Y_24|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_24),X_25)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_25),Y_24))|X_25=Y_24|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_24),X_25)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] X_24=Y_23|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_24),Y_23))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_23),X_24)).
% 5.89/5.99  0 [] X_24=Y_23|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_24),Y_23))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_23),X_24)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),Y_22))|X_23!=Y_22.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_23),Y_22))|X_23!=Y_22.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Y_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_21),X_22)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_22),Y_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_21),X_22)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_20),X_21)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_21),Y_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_20),X_21)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_19))|X_20!=Y_19.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_20),Y_19))|X_20!=Y_19.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_19),Y_18))|Y_18!=X_19.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_19),Y_18))|Y_18!=X_19.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1))|hBOOL(P).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1))|hBOOL(P).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),B_73))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_73),A_96)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),B_73))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_73),A_96)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_72),A_95))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_95),B_72)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_72),A_95))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_95),B_72)).
% 5.89/5.99  0 [] A_94!=B_71| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_71),C_35))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_94),C_35)).
% 5.89/5.99  0 [] A_94!=B_71| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_71),C_35))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_94),C_35)).
% 5.89/5.99  0 [] A_93!=B_70| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_34),B_70))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_34),A_93)).
% 5.89/5.99  0 [] A_93!=B_70| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_34),B_70))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_34),A_93)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_92),B_69))|B_69!=C_33|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_92),C_33)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_92),B_69))|B_69!=C_33|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_92),C_33)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_68),A_91))|B_68!=C_32|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_32),A_91)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_68),A_91))|B_68!=C_32|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_32),A_91)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_17))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_17),Z_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Z_4)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Y_17))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_17),Z_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Z_4)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_16),X_17))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_3),Y_16))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_3),X_17)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_16),X_17))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Y_16))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),X_17)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_16),Y_15))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_15),X_16)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_16),Y_15))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_15),X_16)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Y_14))|X_15=Y_14|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_14),X_15)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_14))|X_15=Y_14|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_14),X_15)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_14),Y_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_14)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_14),Y_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_13),X_14)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_12),X_13)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_13),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_12),X_13)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_11),X_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_12),Y_11)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_11),X_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_12),Y_11)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] A_90=B_67| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_90),B_67))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_90),B_67)).
% 5.89/5.99  0 [] A_90=B_67| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_90),B_67))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_90),B_67)).
% 5.89/5.99  0 [] A_89=B_66| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_66),A_89))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_66),A_89)).
% 5.89/5.99  0 [] A_89=B_66| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_66),A_89))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_66),A_89)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_10),X_11))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_10)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_10),X_11))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_11),Y_10)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_10),Y_9)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_10),Y_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_10),Y_9)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_3))|X_1!=Y_3.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),B)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f29(P,I_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(P,$f29(P,I_1,K_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P,K_1))| -hBOOL(hAPP_int_bool(P,minus_minus_int($f29(P,I_1,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P,minus_minus_int(K_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f30(P,I_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P,minus_minus_int(K_1,one_one_int)))|hBOOL(hAPP_int_bool(P,$f30(P,I_1,K_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P,minus_minus_int(K_1,one_one_int)))| -hBOOL(hAPP_int_bool(P,minus_minus_int($f30(P,I_1,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f31(P,K_1,I_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(P,$f31(P,K_1,I_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P,K_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int($f31(P,K_1,I_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int(K_1,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f32(P,K_1,I_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int(K_1,one_one_int)))|hBOOL(hAPP_int_bool(P,$f32(P,K_1,I_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int(K_1,one_one_int)))| -hBOOL(hAPP_int_bool(P,plus_plus_int($f32(P,K_1,I_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f33(I_1,P,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f34(I_1,P,K_1)),K_1))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f33(I_1,P,K_1)))|hBOOL(hAPP_int_bool(P,$f34(I_1,P,K_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f33(I_1,P,K_1)))| -hBOOL(hAPP_int_bool(P,minus_minus_int($f34(I_1,P,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(P,$f33(I_1,P,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f34(I_1,P,K_1)),K_1))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(P,$f33(I_1,P,K_1)))|hBOOL(hAPP_int_bool(P,$f34(I_1,P,K_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))|hBOOL(hAPP_int_bool(P,$f33(I_1,P,K_1)))| -hBOOL(hAPP_int_bool(P,minus_minus_int($f34(I_1,P,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int($f33(I_1,P,K_1),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f34(I_1,P,K_1)),K_1))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int($f33(I_1,P,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P,$f34(I_1,P,K_1)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,K_1))| -hBOOL(hAPP_int_bool(P,plus_plus_int($f33(I_1,P,K_1),one_one_int)))| -hBOOL(hAPP_int_bool(P,minus_minus_int($f34(I_1,P,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P,I_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),C_31))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A_19)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),$f35(X_1,P)))|hBOOL(hAPP_int_bool(P,minus_minus_int($f35(X_1,P),one_one_int)))|hBOOL(hAPP_int_bool(P,X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(P,$f35(X_1,P)))|hBOOL(hAPP_int_bool(P,X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),A_87))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_8),A_87))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_1))|plus_plus_int(U_1,V_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(U_1,X_9),times_times_int(V_1,Y_8))),A_87)).
% 5.89/5.99  0 [] times_times_nat(zero_zero_nat,A_86)=zero_zero_nat.
% 5.89/5.99  0 [] times_times_int(zero_zero_int,A_86)=zero_zero_int.
% 5.89/5.99  0 [] times_times_nat(A_85,zero_zero_nat)=zero_zero_nat.
% 5.89/5.99  0 [] times_times_int(A_85,zero_zero_int)=zero_zero_int.
% 5.89/5.99  0 [] times_times_nat(zero_zero_nat,A_84)=zero_zero_nat.
% 5.89/5.99  0 [] times_times_int(zero_zero_int,A_84)=zero_zero_int.
% 5.89/5.99  0 [] times_times_nat(A_83,zero_zero_nat)=zero_zero_nat.
% 5.89/5.99  0 [] times_times_int(A_83,zero_zero_int)=zero_zero_int.
% 5.89/5.99  0 [] times_times_int(Aa,Ba)!=zero_zero_int|Aa=zero_zero_int|Ba=zero_zero_int.
% 5.89/5.99  0 [] times_times_int(Aa,Ba)=zero_zero_int|Aa!=zero_zero_int.
% 5.89/5.99  0 [] times_times_int(Aa,Ba)=zero_zero_int|Ba!=zero_zero_int.
% 5.89/5.99  0 [] A_82=zero_zero_nat|B_65=zero_zero_nat|times_times_nat(A_82,B_65)!=zero_zero_nat.
% 5.89/5.99  0 [] A_82=zero_zero_int|B_65=zero_zero_int|times_times_int(A_82,B_65)!=zero_zero_int.
% 5.89/5.99  0 [] times_times_nat(A_81,B_64)!=zero_zero_nat|A_81=zero_zero_nat|B_64=zero_zero_nat.
% 5.89/5.99  0 [] times_times_int(A_81,B_64)!=zero_zero_int|A_81=zero_zero_int|B_64=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_nat(zero_zero_nat,A_80)=A_80.
% 5.89/5.99  0 [] plus_plus_int(zero_zero_int,A_80)=A_80.
% 5.89/5.99  0 [] plus_plus_nat(A_79,zero_zero_nat)=A_79.
% 5.89/5.99  0 [] plus_plus_int(A_79,zero_zero_int)=A_79.
% 5.89/5.99  0 [] Ba!=plus_plus_nat(Ba,Aa)|Aa=zero_zero_nat.
% 5.89/5.99  0 [] Ba=plus_plus_nat(Ba,Aa)|Aa!=zero_zero_nat.
% 5.89/5.99  0 [] Ba!=plus_plus_int(Ba,Aa)|Aa=zero_zero_int.
% 5.89/5.99  0 [] Ba=plus_plus_int(Ba,Aa)|Aa!=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_nat(zero_zero_nat,A_78)=A_78.
% 5.89/5.99  0 [] plus_plus_int(zero_zero_int,A_78)=A_78.
% 5.89/5.99  0 [] plus_plus_nat(zero_zero_nat,A_77)=A_77.
% 5.89/5.99  0 [] plus_plus_int(zero_zero_int,A_77)=A_77.
% 5.89/5.99  0 [] zero_zero_int!=plus_plus_int(Aa,Aa)|Aa=zero_zero_int.
% 5.89/5.99  0 [] zero_zero_int=plus_plus_int(Aa,Aa)|Aa!=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_nat(A_76,zero_zero_nat)=A_76.
% 5.89/5.99  0 [] plus_plus_int(A_76,zero_zero_int)=A_76.
% 5.89/5.99  0 [] plus_plus_nat(A_75,zero_zero_nat)=A_75.
% 5.89/5.99  0 [] plus_plus_int(A_75,zero_zero_int)=A_75.
% 5.89/5.99  0 [] plus_plus_int(Aa,Aa)!=zero_zero_int|Aa=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_int(Aa,Aa)=zero_zero_int|Aa!=zero_zero_int.
% 5.89/5.99  0 [] zero_zero_nat!=X_1|X_1=zero_zero_nat.
% 5.89/5.99  0 [] zero_zero_nat=X_1|X_1!=zero_zero_nat.
% 5.89/5.99  0 [] zero_zero_int!=X_1|X_1=zero_zero_int.
% 5.89/5.99  0 [] zero_zero_int=X_1|X_1!=zero_zero_int.
% 5.89/5.99  0 [] minus_minus_int(A_74,zero_zero_int)=A_74.
% 5.89/5.99  0 [] minus_minus_int(A_73,A_73)=zero_zero_int.
% 5.89/5.99  0 [] Aa!=Ba|minus_minus_int(Aa,Ba)=zero_zero_int.
% 5.89/5.99  0 [] Aa=Ba|minus_minus_int(Aa,Ba)!=zero_zero_int.
% 5.89/5.99  0 [] minus_minus_int(Aa,Ba)!=zero_zero_int|Aa=Ba.
% 5.89/5.99  0 [] minus_minus_int(Aa,Ba)=zero_zero_int|Aa!=Ba.
% 5.89/5.99  0 [] one_one_nat!=zero_zero_nat.
% 5.89/5.99  0 [] one_one_int!=zero_zero_int.
% 5.89/5.99  0 [] zero_zero_nat!=one_one_nat.
% 5.89/5.99  0 [] zero_zero_int!=one_one_int.
% 5.89/5.99  0 [] zero_zero_int!=one_one_int.
% 5.89/5.99  0 [] plus_plus_int(Z,zero_zero_int)=Z.
% 5.89/5.99  0 [] plus_plus_int(zero_zero_int,Z)=Z.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_72))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_63),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_72,B_63)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_72),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_63))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_72,B_63)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_72))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_63),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_72,B_63)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_72),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_63))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_72,B_63)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_71))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_62))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_71,B_62))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_71),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_62),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_71,B_62))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_70),B_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_30),D_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_30))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_70,C_30)),times_times_nat(B_61,D_10))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_70),B_61))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_30),D_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_61))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_30))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_70,C_30)),times_times_int(B_61,D_10))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_69),B_60))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_29),D_9))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_69))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_69,C_29)),times_times_nat(B_60,D_9))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_69),B_60))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_29),D_9))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_69))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_29))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_69,C_29)),times_times_int(B_60,D_9))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_59),A_68))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_28),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_28,A_68)),times_times_int(C_28,B_59))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_58),A_67))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_27),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_67,C_27)),times_times_int(B_58,C_27))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_66),B_57))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_26))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_26,A_66)),times_times_nat(C_26,B_57))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_66),B_57))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_26))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_26,A_66)),times_times_int(C_26,B_57))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_65),B_56))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_25))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_25,A_65)),times_times_nat(C_25,B_56))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_65),B_56))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_25))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_25,A_65)),times_times_int(C_25,B_56))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_64),B_55))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_24))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_64,C_24)),times_times_nat(B_55,C_24))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_64),B_55))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_24))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_64,C_24)),times_times_int(B_55,C_24))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_63),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_54),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_63,B_54))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_62),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_53))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_62,B_53)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_62),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_53))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_62,B_53)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_52),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(B_52,A_61)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_61))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_52),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B_52,A_61)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_60))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_51),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_60,B_51)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_60))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_51),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_60,B_51)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_59))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_50))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),times_times_nat(A_59,B_50))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_59))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_50))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_59,B_50))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A_58,A_58))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_49),A_57))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_23),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_23,A_57)),times_times_int(C_23,B_49))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_48),A_56))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_22),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_56,C_22)),times_times_int(B_48,C_22))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_55),B_47))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_21,A_55)),times_times_nat(C_21,B_47))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_55),B_47))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_21))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_21,A_55)),times_times_int(C_21,B_47))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_54),B_46))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_20))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_20,A_54)),times_times_nat(C_20,B_46))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_54),B_46))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_20))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_20,A_54)),times_times_int(C_20,B_46))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_53),B_45))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_19))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_53,C_19)),times_times_nat(B_45,C_19))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_53),B_45))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_19))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_53,C_19)),times_times_int(B_45,C_19))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_52),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_44),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_52,B_44))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_51),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_43))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_51,B_43)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_51),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_43))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_51,B_43)),zero_zero_int)).
% 5.89/5.99  0 [] -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,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 5.89/5.99  0 [] -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,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(B_42,A_50)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_50))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_42)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(B_42,A_50)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_50))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_42)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A_49,B_41)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_49))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_41)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_49,B_41)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_49))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_41)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_48))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_40),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(B_40,A_48)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_48))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_40),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(B_40,A_48)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_47))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_39),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_47,B_39)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_47))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_39),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_47,B_39)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_46))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_38))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A_46,B_38))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_46))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_38))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_46,B_38))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))| -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,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(Aa,C_4)),times_times_int(Ba,C_4)))| -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,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_45,A_45)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_44),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_37),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A_44,B_37)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_44),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_37),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A_44,B_37)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_18))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_36),A_43))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_36),plus_plus_nat(A_43,C_18))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_18))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_36),A_43))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_36),plus_plus_int(A_43,C_18))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_42))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_35),C_17))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_35),plus_plus_nat(A_42,C_17))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_42))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_35),C_17))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_35),plus_plus_int(A_42,C_17))).
% 5.89/5.99  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_3))|plus_plus_nat(X_1,Y_3)!=zero_zero_nat|X_1=zero_zero_nat.
% 5.89/5.99  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_3))|plus_plus_nat(X_1,Y_3)!=zero_zero_nat|Y_3=zero_zero_nat.
% 5.89/5.99  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_3))|plus_plus_nat(X_1,Y_3)=zero_zero_nat|X_1!=zero_zero_nat|Y_3!=zero_zero_nat.
% 5.89/5.99  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_3))|plus_plus_int(X_1,Y_3)!=zero_zero_int|X_1=zero_zero_int.
% 5.89/5.99  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_3))|plus_plus_int(X_1,Y_3)!=zero_zero_int|Y_3=zero_zero_int.
% 5.89/5.99  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_3))|plus_plus_int(X_1,Y_3)=zero_zero_int|X_1!=zero_zero_int|Y_3!=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_41))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_34))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),plus_plus_nat(A_41,B_34))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_41))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_34))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(A_41,B_34))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(Aa,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(Aa,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_40),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_33),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_40,B_33)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_40),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_33),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_40,B_33)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_39))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_32),C_16))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_32),plus_plus_nat(A_39,C_16))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_39))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_32),C_16))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_32),plus_plus_int(A_39,C_16))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_38))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_31))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_38,B_31))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_38))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_38,B_31))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(Aa,Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(Aa,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(Aa,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 5.89/5.99  0 [] -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,minus_minus_int(Aa,Ba)),zero_zero_int)).
% 5.89/5.99  0 [] 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,minus_minus_int(Aa,Ba)),zero_zero_int)).
% 5.89/5.99  0 [] R_3=zero_zero_nat|A_37!=B_30|C_15=D_8|plus_plus_nat(A_37,times_times_nat(R_3,C_15))!=plus_plus_nat(B_30,times_times_nat(R_3,D_8)).
% 5.89/5.99  0 [] R_3=zero_zero_int|A_37!=B_30|C_15=D_8|plus_plus_int(A_37,times_times_int(R_3,C_15))!=plus_plus_int(B_30,times_times_int(R_3,D_8)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(Aa,Ba)),zero_zero_int)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(Aa,Ba)),zero_zero_int)).
% 5.89/5.99  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_19))|X=minus_minus_int(A_19,one_one_int)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),minus_minus_int(A_19,one_one_int))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.89/5.99  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,times_times_int(K,I)),times_times_int(K,J))).
% 5.89/5.99  0 [] plus_plus_int(plus_plus_int(one_one_int,Z),Z)!=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K_1,L_1)),zero_zero_int)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K_1,L_1)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C_14,A_36)),times_times_nat(C_14,B_29)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_36),B_29)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_14,A_36)),times_times_int(C_14,B_29)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_14))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_36),B_29)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A_35,C_13)),times_times_nat(B_28,C_13)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_35),B_28)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A_35,C_13)),times_times_int(B_28,C_13)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_35),B_28)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_12,A_34)),times_times_nat(C_12,B_27)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_34),B_27)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_12,A_34)),times_times_int(C_12,B_27)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_34),B_27)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_11,A_33)),times_times_nat(C_11,B_26)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_33),B_26)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_11,A_33)),times_times_int(C_11,B_26)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_11))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_33),B_26)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_32,C_10)),times_times_nat(B_25,C_10)))| -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_nat,A_32),B_25)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_32,C_10)),times_times_int(B_25,C_10)))| -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_int,A_32),B_25)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_31,C_9)),times_times_nat(B_24,C_9)))| -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_nat,A_31),B_24)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_31,C_9)),times_times_int(B_24,C_9)))| -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_int,A_31),B_24)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_30),B_23))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_8),D_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_30))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_30,C_8)),times_times_nat(B_23,D_7))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_30),B_23))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_8),D_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_30))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_8))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_30,C_8)),times_times_int(B_23,D_7))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_29),B_22))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_7),D_6))| -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_nat,zero_zero_nat),C_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_29,C_7)),times_times_nat(B_22,D_6))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_29),B_22))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_7),D_6))| -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_int,zero_zero_int),C_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_29,C_7)),times_times_int(B_22,D_6))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_28),B_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_6),D_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_28))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_28,C_6)),times_times_nat(B_21,D_5))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_28),B_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_6),D_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_28))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_28,C_6)),times_times_int(B_21,D_5))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_27),B_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_5),D_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_27,C_5)),times_times_nat(B_20,D_4))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_27),B_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_5),D_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_27,C_5)),times_times_int(B_20,D_4))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_4),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C_4,Aa)),times_times_int(C_4,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_26),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_19),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_26,B_19)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_19),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_26,B_19)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_25),zero_zero_nat))| -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_nat,plus_plus_nat(A_25,B_18)),zero_zero_nat)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_25),zero_zero_int))| -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_int,plus_plus_int(A_25,B_18)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_24))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_17),C_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_17),plus_plus_nat(A_24,C_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_24))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_17),C_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_17),plus_plus_int(A_24,C_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_23))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_16),C_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_16),plus_plus_nat(A_23,C_2))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_23))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_16),C_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_16),plus_plus_int(A_23,C_2))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_22))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_22,B_15))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_22))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_22,B_15))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_21,B_14))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_14))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_21,B_14))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_7),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(Y_7,X_8)),X_8)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(X_7,Y_6)),X_7)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(one_one_nat,one_one_nat))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,one_one_int))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|times_times_int(M_1,N_1)!=one_one_int|M_1=one_one_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|times_times_int(M_1,N_1)!=one_one_int|N_1=one_one_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|times_times_int(M_1,N_1)=one_one_int|M_1!=one_one_int|N_1!=one_one_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_6),A_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_5),A_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V))|plus_plus_int(U,V)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(U,X_6),times_times_int(V,Y_5))),A_20)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,Z))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_19))|A_19!=plus_plus_int(R_1,times_times_int(A_19,Q))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),A_19))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_19))|A_19!=plus_plus_int(R_1,times_times_int(A_19,Q))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),one_one_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_13,Q_1),R_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_13))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_13,Q_1),R_2)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),zero_zero_int)).
% 5.89/5.99  0 [] plus_plus_int(times_times_int(B,Q),R_1)!=plus_plus_int(times_times_int(B_13,Q_1),R_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_13,Q_1),R_2)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_13))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_13),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B,Q_1),R_2)),plus_plus_int(times_times_int(B,Q),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)).
% 5.89/5.99  0 [] plus_plus_int(times_times_int(B,Q),R_1)!=plus_plus_int(times_times_int(B_13,Q_1),R_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(B_13,Q_1),R_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_13))| -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_13))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_13),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q),Q_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(B,Q_1),R_2)),plus_plus_int(times_times_int(B,Q),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))|xzgcd(M,N)!=produc282740534nt_int(R_1,product_Pair_int_int(S,T))|R_1=plus_plus_int(times_times_int(S,M),times_times_int(T,N)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(X_5,X_5),times_times_int(Y_4,Y_4))),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))))|X_1!=zero_zero_int|Y_3!=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))))|X_1=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))))|Y_3=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))!=zero_zero_int|X_1=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))!=zero_zero_int|Y_3=zero_zero_int.
% 5.89/5.99  0 [] plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))=zero_zero_int|X_1!=zero_zero_int|Y_3!=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))),zero_zero_int))|X_1=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))),zero_zero_int))|Y_3=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(X_1,X_1),times_times_int(Y_3,Y_3))),zero_zero_int))|X_1!=zero_zero_int|Y_3!=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(X_4,X_4),times_times_int(Y_2,Y_2)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_1))|xzgcda(M,N,R_2,R_1,S_1,S,T_5,T)!=produc282740534nt_int(Rn,product_Pair_int_int(Sn,Tn))|R_2!=plus_plus_int(times_times_int(S_1,M),times_times_int(T_5,N))|R_1!=plus_plus_int(times_times_int(S,M),times_times_int(T,N))|Rn=plus_plus_int(times_times_int(Sn,M),times_times_int(Tn,N)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(X,Y))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(X,Y))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 5.89/5.99  0 [] xzgcd(M,N)=xzgcda(M,N,M,N,one_one_int,zero_zero_int,zero_zero_int,one_one_int).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_19))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A_19,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P,$f36(K_1,P,D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P,X_3))|hBOOL(hAPP_int_bool(P,minus_minus_int(X_3,times_times_int(K_1,D_3)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P,minus_minus_int($f36(K_1,P,D_3),D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P,X_3))|hBOOL(hAPP_int_bool(P,minus_minus_int(X_3,times_times_int(K_1,D_3)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P,$f37(K_1,P,D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P,X_3))|hBOOL(hAPP_int_bool(P,plus_plus_int(X_3,times_times_int(K_1,D_3)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P,plus_plus_int($f37(K_1,P,D_3),D_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P,X_3))|hBOOL(hAPP_int_bool(P,plus_plus_int(X_3,times_times_int(K_1,D_3)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),$f38(T_4)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_4),X_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),$f39(T_4)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_4),X_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f40(T_3)),X_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_3),X_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f41(T_3)),X_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_3),X_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f42(T_2)),X_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),T_2)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f43(T_2)),X_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),T_2)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),$f44(T_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),T_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),$f45(T_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),T_1)).
% 5.89/5.99  0 [] A_19!=plus_plus_int(times_times_int(B,Q),R_1)|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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1))).
% 5.89/5.99  0 [] A_19!=plus_plus_int(times_times_int(B,Q),R_1)| -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,zero_zero_int),B))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1))).
% 5.89/5.99  0 [] A_19!=plus_plus_int(times_times_int(B,Q),R_1)| -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,B),R_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_1),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1))).
% 5.89/5.99  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))).
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,A_19),product_Pair_int_int(Q,R_1)))|A_19=zero_zero_int|R_1=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q_1,R_2)))|B=zero_zero_int|Q=Q_1.
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q,R_1)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),product_Pair_int_int(Q_1,R_2)))|B=zero_zero_int|R_1=R_2.
% 5.89/5.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,A_19),product_Pair_int_int(Q,R_1)))|A_19=zero_zero_int|Q=one_one_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P1,$f47(P,P1,D_3)))|hBOOL(hAPP_int_bool(P1,minus_minus_int($f47(P,P1,D_3),times_times_int($f46(P,P1,D_3),D_3))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f48(P,P1,D_3,Z_2)),Z_2))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P,$f49(P,P1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P1,$f47(P,P1,D_3)))|hBOOL(hAPP_int_bool(P1,minus_minus_int($f47(P,P1,D_3),times_times_int($f46(P,P1,D_3),D_3))))|hBOOL(hAPP_int_bool(P,$f48(P,P1,D_3,Z_2)))|hBOOL(hAPP_int_bool(P1,$f48(P,P1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P,$f49(P,P1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P1,$f47(P,P1,D_3)))|hBOOL(hAPP_int_bool(P1,minus_minus_int($f47(P,P1,D_3),times_times_int($f46(P,P1,D_3),D_3))))| -hBOOL(hAPP_int_bool(P,$f48(P,P1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P1,$f48(P,P1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P,$f49(P,P1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P1,$f47(P,P1,D_3)))| -hBOOL(hAPP_int_bool(P1,minus_minus_int($f47(P,P1,D_3),times_times_int($f46(P,P1,D_3),D_3))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f48(P,P1,D_3,Z_2)),Z_2))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P,$f49(P,P1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P1,$f47(P,P1,D_3)))| -hBOOL(hAPP_int_bool(P1,minus_minus_int($f47(P,P1,D_3),times_times_int($f46(P,P1,D_3),D_3))))|hBOOL(hAPP_int_bool(P,$f48(P,P1,D_3,Z_2)))|hBOOL(hAPP_int_bool(P1,$f48(P,P1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P,$f49(P,P1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P1,$f47(P,P1,D_3)))| -hBOOL(hAPP_int_bool(P1,minus_minus_int($f47(P,P1,D_3),times_times_int($f46(P,P1,D_3),D_3))))| -hBOOL(hAPP_int_bool(P,$f48(P,P1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P1,$f48(P,P1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P,$f49(P,P1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P_1,$f51(P,P_1,D_3)))|hBOOL(hAPP_int_bool(P_1,minus_minus_int($f51(P,P_1,D_3),times_times_int($f50(P,P_1,D_3),D_3))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P,$f53(P,P_1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P_1,$f51(P,P_1,D_3)))|hBOOL(hAPP_int_bool(P_1,minus_minus_int($f51(P,P_1,D_3),times_times_int($f50(P,P_1,D_3),D_3))))|hBOOL(hAPP_int_bool(P,$f52(P,P_1,D_3,Z_2)))|hBOOL(hAPP_int_bool(P_1,$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P,$f53(P,P_1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))|hBOOL(hAPP_int_bool(P_1,$f51(P,P_1,D_3)))|hBOOL(hAPP_int_bool(P_1,minus_minus_int($f51(P,P_1,D_3),times_times_int($f50(P,P_1,D_3),D_3))))| -hBOOL(hAPP_int_bool(P,$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P,$f53(P,P_1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P_1,$f51(P,P_1,D_3)))| -hBOOL(hAPP_int_bool(P_1,minus_minus_int($f51(P,P_1,D_3),times_times_int($f50(P,P_1,D_3),D_3))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P,$f53(P,P_1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P_1,$f51(P,P_1,D_3)))| -hBOOL(hAPP_int_bool(P_1,minus_minus_int($f51(P,P_1,D_3),times_times_int($f50(P,P_1,D_3),D_3))))|hBOOL(hAPP_int_bool(P,$f52(P,P_1,D_3,Z_2)))|hBOOL(hAPP_int_bool(P_1,$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P,$f53(P,P_1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))| -hBOOL(hAPP_int_bool(P_1,$f51(P,P_1,D_3)))| -hBOOL(hAPP_int_bool(P_1,minus_minus_int($f51(P,P_1,D_3),times_times_int($f50(P,P_1,D_3),D_3))))| -hBOOL(hAPP_int_bool(P,$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,$f52(P,P_1,D_3,Z_2)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P,$f53(P,P_1,D_3))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|nat_tsub(X,Y)=minus_minus_int(X,Y).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|nat_tsub(X,Y)=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))|zfact(N)=one_one_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))|zfact(N)=times_times_int(N,zfact(minus_minus_int(N,one_one_int))).
% 5.89/5.99  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))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|nat_tsub(X,Y)=minus_minus_int(X,Y).
% 5.89/5.99  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_int,zero_zero_int),B))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_19,B),posDivAlg(A_19,B))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D))),Z)).
% 5.89/5.99  0 [] abs_abs_int(Aa)!=zero_zero_int|Aa=zero_zero_int.
% 5.89/5.99  0 [] abs_abs_int(Aa)=zero_zero_int|Aa!=zero_zero_int.
% 5.89/5.99  0 [] abs_abs_int(zero_zero_int)=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_18))|abs_abs_int(A_18)=A_18.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(Aa)),zero_zero_int))|Aa=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(Aa)),zero_zero_int))|Aa!=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),abs_abs_int(A_17))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_16))|abs_abs_int(A_16)=A_16.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),abs_abs_int(Aa)))|Aa!=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),abs_abs_int(Aa)))|Aa=zero_zero_int.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A_15)),zero_zero_int)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A_14)),C_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(B_12)),D_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(abs_abs_int(A_14),abs_abs_int(B_12))),times_times_int(C_1,D_2))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(plus_plus_int(A_13,B_11))),plus_plus_int(abs_abs_int(A_13),abs_abs_int(B_11)))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(abs_abs_int(A_12),abs_abs_int(B_10)))),abs_abs_int(minus_minus_int(A_12,B_10)))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(abs_abs_int(A_11),abs_abs_int(B_9))),abs_abs_int(minus_minus_int(A_11,B_9)))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(abs_abs_int(A_10),abs_abs_int(B_8))),abs_abs_int(minus_minus_int(B_8,A_10)))).
% 5.89/5.99  0 [] abs_abs_int(times_times_int(M,N))!=one_one_int|abs_abs_int(M)=one_one_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),abs_abs_int(A_9))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(A_8)),B_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_8),B_7)).
% 5.89/5.99  0 [] abs_abs_int(times_times_int(A_7,B_6))=times_times_int(abs_abs_int(A_7),abs_abs_int(B_6)).
% 5.89/5.99  0 [] times_times_int(abs_abs_int(A_6),abs_abs_int(A_6))=times_times_int(A_6,A_6).
% 5.89/5.99  0 [] abs_abs_int(plus_plus_int(abs_abs_int(A_5),abs_abs_int(B_5)))=plus_plus_int(abs_abs_int(A_5),abs_abs_int(B_5)).
% 5.89/5.99  0 [] abs_abs_int(one_one_int)=one_one_int.
% 5.89/5.99  0 [] abs_abs_int(minus_minus_int(A_4,B_4))=abs_abs_int(minus_minus_int(B_4,A_4)).
% 5.89/5.99  0 [] abs_abs_int(abs_abs_int(A_3))=abs_abs_int(A_3).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))|times_times_int(abs_abs_int(Y_1),X_2)=abs_abs_int(times_times_int(Y_1,X_2)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_3))|abs_abs_int(times_times_int(A_2,B_3))=times_times_int(abs_abs_int(A_2),abs_abs_int(B_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),zero_zero_int))|abs_abs_int(times_times_int(A_2,B_3))=times_times_int(abs_abs_int(A_2),abs_abs_int(B_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_3))|abs_abs_int(times_times_int(A_2,B_3))=times_times_int(abs_abs_int(A_2),abs_abs_int(B_3)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),zero_zero_int))|abs_abs_int(times_times_int(A_2,B_3))=times_times_int(abs_abs_int(A_2),abs_abs_int(B_3)).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(plus_plus_int(A_1,B_2),plus_plus_int(C,D_1)))),plus_plus_int(abs_abs_int(minus_minus_int(A_1,C)),abs_abs_int(minus_minus_int(B_2,D_1))))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(A,B_1))),plus_plus_int(abs_abs_int(A),abs_abs_int(B_1)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))|Z_1=zero_zero_int.
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))|Z_1!=zero_zero_int.
% 5.89/5.99  0 [] posDivAlg(zero_zero_int,B)=product_Pair_int_int(zero_zero_int,zero_zero_int).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),plus_plus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D)))).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(X_1,Aa))),R))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(Aa,R)),X_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(X_1,Aa))),R))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),plus_plus_int(Aa,R))).
% 5.89/5.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(X_1,Aa))),R))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(Aa,R)),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),plus_plus_int(Aa,R))).
% 5.89/5.99  0 [] L!=zero_zero_int|pdivmod(K,L)=product_Pair_int_int(zero_zero_int,abs_abs_int(K)).
% 5.89/5.99  0 [] L=zero_zero_int|pdivmod(K,L)=posDivAlg(abs_abs_int(K),abs_abs_int(L)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f54(K_1,F,N_1)),N_1))| -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_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f55(K_1,F,N_1)),N_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f54(K_1,F,N_1)),N_1))| -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_1)))|hAPP_nat_int(F,$f55(K_1,F,N_1))=K_1.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f54(K_1,F,N_1),one_one_nat)),hAPP_nat_int(F,$f54(K_1,F,N_1))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f55(K_1,F,N_1)),N_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f54(K_1,F,N_1),one_one_nat)),hAPP_nat_int(F,$f54(K_1,F,N_1))))),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_1)))|hAPP_nat_int(F,$f55(K_1,F,N_1))=K_1.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f56(K_1,F,N_1)),N_1))| -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_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f57(K_1,F,N_1)),N_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f56(K_1,F,N_1)),N_1))| -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_1)))|hAPP_nat_int(F,$f57(K_1,F,N_1))=K_1.
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f56(K_1,F,N_1),one_one_nat)),hAPP_nat_int(F,$f56(K_1,F,N_1))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f57(K_1,F,N_1)),N_1)).
% 5.89/5.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat($f56(K_1,F,N_1),one_one_nat)),hAPP_nat_int(F,$f56(K_1,F,N_1))))),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_1)))|hAPP_nat_int(F,$f57(K_1,F,N_1))=K_1.
% 5.89/5.99  0 [] M!=zero_zero_nat|times_times_nat(M,N)=zero_zero_nat.
% 5.89/5.99  0 [] M=zero_zero_nat|times_times_nat(M,N)=plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 5.89/5.99  0 [] times_times_nat(M,N)=times_times_nat(N,M).
% 5.89/5.99  0 [] times_times_nat(times_times_nat(M,N),K)=times_times_nat(M,times_times_nat(N,K)).
% 5.89/5.99  0 [] times_times_nat(minus_minus_nat(M,N),K)=minus_minus_nat(times_times_nat(M,K),times_times_nat(N,K)).
% 5.89/5.99  0 [] minus_minus_nat(minus_minus_nat(I,J),K)=minus_minus_nat(minus_minus_nat(I,K),J).
% 5.89/5.99  0 [] times_times_nat(K,minus_minus_nat(M,N))=minus_minus_nat(times_times_nat(K,M),times_times_nat(K,N)).
% 5.89/5.99  0 [] times_times_nat(zero_zero_nat,N)=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(M,zero_zero_nat)=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(M_1,N_1)!=zero_zero_nat|M_1=zero_zero_nat|N_1=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(M_1,N_1)=zero_zero_nat|M_1!=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(M_1,N_1)=zero_zero_nat|N_1!=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(K_1,M_1)!=times_times_nat(K_1,N_1)|M_1=N_1|K_1=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(K_1,M_1)=times_times_nat(K_1,N_1)|M_1!=N_1.
% 5.89/5.99  0 [] times_times_nat(K_1,M_1)=times_times_nat(K_1,N_1)|K_1!=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(M_1,K_1)!=times_times_nat(N_1,K_1)|M_1=N_1|K_1=zero_zero_nat.
% 5.89/5.99  0 [] times_times_nat(M_1,K_1)=times_times_nat(N_1,K_1)|M_1!=N_1.
% 5.89/5.99  0 [] times_times_nat(M_1,K_1)=times_times_nat(N_1,K_1)|K_1!=zero_zero_nat.
% 5.89/5.99  0 [] minus_minus_nat(M,N)!=zero_zero_nat|minus_minus_nat(N,M)!=zero_zero_nat|M=N.
% 5.89/5.99  0 [] minus_minus_nat(M,M)=zero_zero_nat.
% 5.89/5.99  0 [] minus_minus_nat(M,zero_zero_nat)=M.
% 5.89/5.99  0 [] minus_minus_nat(zero_zero_nat,N)=zero_zero_nat.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(J,N)),K)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 5.89/5.99  0 [] M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)).
% 5.89/5.99  0 [] M_1!=N_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.89/5.99  0 [] M_1!=N_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)).
% 5.89/5.99  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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|M!=N.
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))|S!=T.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P,N_1),M_1)).
% 5.89/5.99  0 [] plus_plus_nat(M,N)=plus_plus_nat(N,M).
% 5.89/5.99  0 [] plus_plus_nat(X,plus_plus_nat(Y,Z))=plus_plus_nat(Y,plus_plus_nat(X,Z)).
% 5.89/5.99  0 [] times_times_nat(K,plus_plus_nat(M,N))=plus_plus_nat(times_times_nat(K,M),times_times_nat(K,N)).
% 5.89/5.99  0 [] plus_plus_nat(plus_plus_nat(M,N),K)=plus_plus_nat(M,plus_plus_nat(N,K)).
% 5.89/5.99  0 [] times_times_nat(plus_plus_nat(M,N),K)=plus_plus_nat(times_times_nat(M,K),times_times_nat(N,K)).
% 5.89/5.99  0 [] plus_plus_nat(K_1,M_1)!=plus_plus_nat(K_1,N_1)|M_1=N_1.
% 5.89/5.99  0 [] plus_plus_nat(K_1,M_1)=plus_plus_nat(K_1,N_1)|M_1!=N_1.
% 5.89/5.99  0 [] plus_plus_nat(M_1,K_1)!=plus_plus_nat(N_1,K_1)|M_1=N_1.
% 5.89/5.99  0 [] plus_plus_nat(M_1,K_1)=plus_plus_nat(N_1,K_1)|M_1!=N_1.
% 5.89/5.99  0 [] minus_minus_nat(plus_plus_nat(M,K),plus_plus_nat(N,K))=minus_minus_nat(M,N).
% 5.89/5.99  0 [] minus_minus_nat(plus_plus_nat(K,M),plus_plus_nat(K,N))=minus_minus_nat(M,N).
% 5.89/5.99  0 [] minus_minus_nat(minus_minus_nat(I,J),K)=minus_minus_nat(I,plus_plus_nat(J,K)).
% 5.89/5.99  0 [] minus_minus_nat(plus_plus_nat(N,M),N)=M.
% 5.89/5.99  0 [] minus_minus_nat(plus_plus_nat(M,N),N)=M.
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,N)),M)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M,L)),minus_minus_nat(N,L))).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N))|minus_minus_nat(N,minus_minus_nat(N,I))=I.
% 5.89/5.99  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_1))|minus_minus_nat(M_1,K_1)!=minus_minus_nat(N_1,K_1)|M_1=N_1.
% 5.89/5.99  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_1))|minus_minus_nat(M_1,K_1)=minus_minus_nat(N_1,K_1)|M_1!=N_1.
% 5.89/5.99  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))|minus_minus_nat(minus_minus_nat(M,K),minus_minus_nat(N,K))=minus_minus_nat(M,N).
% 5.89/5.99  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_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M_1,K_1)),minus_minus_nat(N_1,K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.89/5.99  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_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(M_1,K_1)),minus_minus_nat(N_1,K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 5.89/5.99  0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 5.89/5.99  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)).
% 5.89/5.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|M=N.
% 5.89/5.99  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))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(I,K)),times_times_nat(J,L))).
% 5.89/5.99  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,times_times_nat(K,I)),times_times_nat(K,J))).
% 5.89/5.99  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,times_times_nat(I,K)),times_times_nat(J,K))).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,times_times_nat(M,M)))).
% 5.89/5.99  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),times_times_nat(M,M))).
% 5.89/5.99  0 [] times_times_nat(one_one_nat,N)=N.
% 5.89/5.99  0 [] one_one_nat!=times_times_nat(M_1,N_1)|M_1=one_one_nat.
% 5.89/5.99  0 [] one_one_nat!=times_times_nat(M_1,N_1)|N_1=one_one_nat.
% 5.89/5.99  0 [] one_one_nat=times_times_nat(M_1,N_1)|M_1!=one_one_nat|N_1!=one_one_nat.
% 5.89/6.00  0 [] times_times_nat(N,one_one_nat)=N.
% 5.89/6.00  0 [] times_times_nat(M_1,N_1)!=one_one_nat|M_1=one_one_nat.
% 5.89/6.00  0 [] times_times_nat(M_1,N_1)!=one_one_nat|N_1=one_one_nat.
% 5.89/6.00  0 [] times_times_nat(M_1,N_1)=one_one_nat|M_1!=one_one_nat|N_1!=one_one_nat.
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(N_1,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(N_1,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(M,N)),M)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 5.89/6.00  0 [] N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 5.89/6.00  0 [] N_1!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N!=zero_zero_nat.
% 5.89/6.00  0 [] N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 5.89/6.00  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,times_times_nat(K,I)),times_times_nat(K,J))).
% 5.89/6.00  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,times_times_nat(I,K)),times_times_nat(J,K))).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(M_1,K_1)),times_times_nat(N_1,K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(M_1,K_1)),times_times_nat(N_1,K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(M_1,K_1)),times_times_nat(N_1,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_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,M_1)),times_times_nat(K_1,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,M_1)),times_times_nat(K_1,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,M_1)),times_times_nat(K_1,N_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_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(M_1,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(M_1,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(M_1,N_1)))| -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_1)).
% 5.89/6.00  0 [] plus_plus_nat(zero_zero_nat,N)=N.
% 5.89/6.00  0 [] plus_plus_nat(M,zero_zero_nat)=M.
% 5.89/6.00  0 [] plus_plus_nat(M_1,N_1)!=zero_zero_nat|M_1=zero_zero_nat.
% 5.89/6.00  0 [] plus_plus_nat(M_1,N_1)!=zero_zero_nat|N_1=zero_zero_nat.
% 5.89/6.00  0 [] plus_plus_nat(M_1,N_1)=zero_zero_nat|M_1!=zero_zero_nat|N_1!=zero_zero_nat.
% 5.89/6.00  0 [] plus_plus_nat(M,N)!=M|N=zero_zero_nat.
% 5.89/6.00  0 [] minus_minus_nat(N,plus_plus_nat(N,M))=zero_zero_nat.
% 5.89/6.00  0 [] minus_minus_nat(M_1,N_1)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.89/6.00  0 [] minus_minus_nat(M_1,N_1)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|minus_minus_nat(M,N)=zero_zero_nat.
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),zero_zero_nat))|N_1=zero_zero_nat.
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),zero_zero_nat))|N_1!=zero_zero_nat.
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J_1,K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K_1)),J_1)).
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J_1,K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K_1)),J_1)).
% 5.89/6.00  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|plus_plus_nat(N,minus_minus_nat(M,N))=M.
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I,J)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K)).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))|plus_plus_nat(M,L)!=plus_plus_nat(K,N)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 5.89/6.00  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))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I,K)),plus_plus_nat(J,L))).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I,K)),plus_plus_nat(J,K))).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),plus_plus_nat(M,J))).
% 5.89/6.00  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),plus_plus_nat(J,M))).
% 5.89/6.00  0 [] times_times_int(twoSqu140629262sum2sq(product_Pair_int_int(a,b)),twoSqu140629262sum2sq(product_Pair_int_int(p,q)))!=twoSqu140629262sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(a,p),times_times_int(b,q)),minus_minus_int(times_times_int(a,q),times_times_int(b,p)))).
% 5.89/6.00  end_of_list.
% 5.89/6.00  
% 5.89/6.00  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 5.89/6.00  
% 5.89/6.00  This ia a non-Horn set with equality.  The strategy will be
% 5.89/6.00  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 5.89/6.00  deletion, with positive clauses in sos and nonpositive
% 5.89/6.00  clauses in usable.
% 5.89/6.00  
% 5.89/6.00     dependent: set(knuth_bendix).
% 5.89/6.00     dependent: set(anl_eq).
% 5.89/6.00     dependent: set(para_from).
% 5.89/6.00     dependent: set(para_into).
% 5.89/6.00     dependent: clear(para_from_right).
% 5.89/6.00     dependent: clear(para_into_right).
% 5.89/6.00     dependent: set(para_from_vars).
% 5.89/6.00     dependent: set(eq_units_both_ways).
% 5.89/6.00     dependent: set(dynamic_demod_all).
% 5.89/6.00     dependent: set(dynamic_demod).
% 5.89/6.00     dependent: set(order_eq).
% 5.89/6.00     dependent: set(back_demod).
% 5.89/6.00     dependent: set(lrpo).
% 5.89/6.00     dependent: set(hyper_res).
% 5.89/6.00     dependent: set(unit_deletion).
% 5.89/6.00     dependent: set(factor).
% 5.89/6.00  
% 5.89/6.00  ------------> process usable:
% 5.89/6.00  ** KEPT (pick-wt=20): 1 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,B),E)|C=plus_plus_int(times_times_int(minus_minus_int(D,A),B),E).
% 5.89/6.00  ** KEPT (pick-wt=20): 2 [] plus_plus_int(times_times_int(A,B),C)=plus_plus_int(times_times_int(D,B),E)|C!=plus_plus_int(times_times_int(minus_minus_int(D,A),B),E).
% 5.89/6.00  ** KEPT (pick-wt=20): 3 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,B),E)|plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)=E.
% 5.89/6.00  ** KEPT (pick-wt=20): 4 [] plus_plus_int(times_times_int(A,B),C)=plus_plus_int(times_times_int(D,B),E)|plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)!=E.
% 5.89/6.00  ** KEPT (pick-wt=12): 5 [] -hBOOL(hAPP_int_bool(twoSqu142715416sum2sq,A))|twoSqu140629262sum2sq(product_Pair_int_int($f2(A),$f1(A)))=A.
% 5.89/6.00  ** KEPT (pick-wt=10): 6 [] hBOOL(hAPP_int_bool(twoSqu142715416sum2sq,A))|twoSqu140629262sum2sq(product_Pair_int_int(B,C))!=A.
% 5.89/6.00  ** KEPT (pick-wt=10): 7 [] minus_minus_int(A,B)!=C|A=plus_plus_int(C,B).
% 5.89/6.00  ** KEPT (pick-wt=10): 8 [] plus_plus_int(A,B)!=plus_plus_int(C,B)|A=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 9 [] plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 10 [] plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 11 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 5.89/6.00    Following clause subsumed by 10 during input processing: 0 [] plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 5.89/6.00    Following clause subsumed by 11 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 5.89/6.00    Following clause subsumed by 8 during input processing: 0 [] plus_plus_int(A,B)!=plus_plus_int(C,B)|A=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 12 [] plus_plus_int(A,B)=plus_plus_int(C,B)|A!=C.
% 5.89/6.00    Following clause subsumed by 9 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 13 [] plus_plus_nat(A,B)=plus_plus_nat(C,B)|A!=C.
% 5.89/6.00    Following clause subsumed by 10 during input processing: 0 [] plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 14 [] plus_plus_int(A,B)=plus_plus_int(A,C)|B!=C.
% 5.89/6.00    Following clause subsumed by 11 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 15 [] plus_plus_nat(A,B)=plus_plus_nat(A,C)|B!=C.
% 5.89/6.00  ** KEPT (pick-wt=13): 16 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|A!=B|C=D.
% 5.89/6.00  ** KEPT (pick-wt=13): 17 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|A=B|C!=D.
% 5.89/6.00  ** KEPT (pick-wt=21): 18 [] plus_plus_int(times_times_int(A,B),times_times_int(C,D))!=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A=C|B=D.
% 5.89/6.00  ** KEPT (pick-wt=18): 19 [] plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A!=C.
% 5.89/6.00  ** KEPT (pick-wt=18): 20 [] plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|B!=D.
% 5.89/6.00  ** KEPT (pick-wt=21): 21 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|A=C|B=D.
% 5.89/6.00  ** KEPT (pick-wt=18): 22 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|A!=C.
% 5.89/6.00  ** KEPT (pick-wt=18): 23 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|B!=D.
% 5.89/6.00    Following clause subsumed by 18 during input processing: 0 [] A=B|C=D|plus_plus_int(times_times_int(A,C),times_times_int(B,D))!=plus_plus_int(times_times_int(A,D),times_times_int(B,C)).
% 5.89/6.00    Following clause subsumed by 19 during input processing: 0 [] A!=B|plus_plus_int(times_times_int(A,C),times_times_int(B,D))=plus_plus_int(times_times_int(A,D),times_times_int(B,C)).
% 5.89/6.00    Following clause subsumed by 20 during input processing: 0 [] A!=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 5.89/6.00    Following clause subsumed by 21 during input processing: 0 [] A=B|C=D|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 5.89/6.00    Following clause subsumed by 22 during input processing: 0 [] A!=B|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 5.89/6.00    Following clause subsumed by 23 during input processing: 0 [] A!=B|plus_plus_nat(times_times_nat(C,A),times_times_nat(D,B))=plus_plus_nat(times_times_nat(C,B),times_times_nat(D,A)).
% 5.89/6.00  ** KEPT (pick-wt=10): 24 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 25 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 5.89/6.00  ** KEPT (pick-wt=10): 26 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|A=C.
% 5.89/6.00  ** KEPT (pick-wt=10): 27 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|B=D.
% 5.89/6.00    Following clause subsumed by 24 during input processing: 0 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 5.89/6.00    Following clause subsumed by 25 during input processing: 0 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 5.89/6.00  ** KEPT (pick-wt=13): 28 [] product_Pair_int_int(A,B)=product_Pair_int_int(C,D)|A!=C|B!=D.
% 5.89/6.00    Following clause subsumed by 26 during input processing: 0 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|A=C.
% 5.89/6.00    Following clause subsumed by 27 during input processing: 0 [] produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|B=D.
% 5.89/6.00  ** KEPT (pick-wt=13): 29 [] produc282740534nt_int(A,B)=produc282740534nt_int(C,D)|A!=C|B!=D.
% 5.89/6.00  ** KEPT (pick-wt=11): 30 [] -hBOOL(hAPP_P603027463t_bool(A,$f3(A)))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 5.89/6.00  ** KEPT (pick-wt=12): 31 [] hBOOL(hAPP_P603027463t_bool(A,B))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int($f5(A),$f4(A)))).
% 5.89/6.00  ** KEPT (pick-wt=11): 32 [] -hBOOL(hAPP_P178748804t_bool(A,$f6(A)))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 5.89/6.00  ** KEPT (pick-wt=12): 33 [] hBOOL(hAPP_P178748804t_bool(A,B))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int($f8(A),$f7(A)))).
% 5.89/6.00  ** KEPT (pick-wt=12): 34 [] -hBOOL(hAPP_P603027463t_bool(A,B))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int($f10(A),$f9(A)))).
% 5.89/6.00  ** KEPT (pick-wt=11): 35 [] hBOOL(hAPP_P603027463t_bool(A,$f11(A)))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 5.89/6.00  ** KEPT (pick-wt=12): 36 [] -hBOOL(hAPP_P178748804t_bool(A,B))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int($f13(A),$f12(A)))).
% 5.89/6.00  ** KEPT (pick-wt=11): 37 [] hBOOL(hAPP_P178748804t_bool(A,$f14(A)))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 5.89/6.00  ** KEPT (pick-wt=18): 38 [] -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int($f17(B,A),product_Pair_int_int($f16(B,A),$f15(B,A)))))|hBOOL(hAPP_P178748804t_bool(A,B)).
% 5.89/6.00  ** KEPT (pick-wt=12): 39 [] -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C)))|hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=12): 40 [] -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C)))|hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=26): 41 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 5.89/6.00  ** KEPT (pick-wt=26): 42 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 5.89/6.00  ** KEPT (pick-wt=26): 43 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 5.89/6.00  ** KEPT (pick-wt=26): 44 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 5.89/6.00  ** KEPT (pick-wt=26): 45 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 5.89/6.00  ** KEPT (pick-wt=26): 46 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)),E)).
% 5.89/6.00  ** KEPT (pick-wt=26): 47 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 5.89/6.00  ** KEPT (pick-wt=26): 48 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 5.89/6.00  ** KEPT (pick-wt=6): 49 [] one_one_int!=A|A=one_one_int.
% 5.89/6.00  ** KEPT (pick-wt=6): 50 [] one_one_int=A|A!=one_one_int.
% 5.89/6.00  ** KEPT (pick-wt=6): 51 [] one_one_nat!=A|A=one_one_nat.
% 5.89/6.00  ** KEPT (pick-wt=6): 52 [] one_one_nat=A|A!=one_one_nat.
% 5.89/6.00  ** KEPT (pick-wt=14): 53 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=14): 54 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=14): 55 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,one_one_int)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=14): 56 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,one_one_int)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00    Following clause subsumed by 56 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,one_one_int)),B)).
% 5.89/6.00  ** KEPT (pick-wt=15): 57 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 58 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=17): 59 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 5.89/6.00  ** KEPT (pick-wt=14): 60 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=11): 61 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,one_one_int)))|A!=B.
% 5.89/6.00  ** KEPT (pick-wt=22): 62 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 5.89/6.00    Following clause subsumed by 62 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,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 5.89/6.00  ** KEPT (pick-wt=22): 63 [] -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,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 5.89/6.00  ** KEPT (pick-wt=22): 64 [] -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,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 5.89/6.00  ** KEPT (pick-wt=22): 65 [] -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,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 5.89/6.00  ** KEPT (pick-wt=20): 66 [] -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),times_times_int(A,B))).
% 5.89/6.00  ** KEPT (pick-wt=20): 67 [] -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),times_times_nat(A,B))).
% 5.89/6.00  ** KEPT (pick-wt=14): 68 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=14): 69 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=16): 70 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 71 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 72 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 73 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 74 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 75 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 76 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 77 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.89/6.00    Following clause subsumed by 71 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 5.89/6.00    Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 5.89/6.00    Following clause subsumed by 75 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 5.89/6.00    Following clause subsumed by 77 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 5.89/6.00  ** KEPT (pick-wt=22): 78 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 5.89/6.00  ** KEPT (pick-wt=22): 79 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 5.89/6.00    Following clause subsumed by 70 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.89/6.00    Following clause subsumed by 72 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.89/6.00    Following clause subsumed by 74 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.89/6.00    Following clause subsumed by 76 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=19): 80 [] minus_minus_int(A,B)!=minus_minus_int(C,D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)).
% 5.89/6.00  ** KEPT (pick-wt=19): 81 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)).
% 5.89/6.00  ** KEPT (pick-wt=16): 82 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 83 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 84 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 85 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 86 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 87 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 88 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=16): 89 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.89/6.00    Following clause subsumed by 83 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 5.89/6.00    Following clause subsumed by 85 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 5.89/6.00    Following clause subsumed by 87 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 5.89/6.00    Following clause subsumed by 89 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 5.89/6.00  ** KEPT (pick-wt=22): 90 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 5.89/6.00  ** KEPT (pick-wt=22): 91 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 5.89/6.00    Following clause subsumed by 82 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.89/6.00    Following clause subsumed by 84 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.89/6.00    Following clause subsumed by 86 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.89/6.00    Following clause subsumed by 88 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.89/6.00  ** KEPT (pick-wt=19): 92 [] minus_minus_int(A,B)!=minus_minus_int(C,D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)).
% 5.89/6.00  ** KEPT (pick-wt=19): 93 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)).
% 5.89/6.00    Following clause subsumed by 71 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 5.89/6.00    Following clause subsumed by 87 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 5.89/6.00  ** KEPT (pick-wt=12): 94 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 5.89/6.00  ** KEPT (pick-wt=12): 95 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 5.89/6.00    Following clause subsumed by 94 during input processing: 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 5.89/6.00    Following clause subsumed by 95 during input processing: 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 5.89/6.00    Following clause subsumed by 94 during input processing: 0 [] -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 5.89/6.00    Following clause subsumed by 40 during input processing: 0 [] hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 5.89/6.00    Following clause subsumed by 95 during input processing: 0 [] -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 5.89/6.00    Following clause subsumed by 39 during input processing: 0 [] hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 5.89/6.00  ** KEPT (pick-wt=18): 96 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 97 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 98 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 99 [] -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)).
% 5.89/6.00    Following clause subsumed by 98 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)).
% 5.89/6.00    Following clause subsumed by 99 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)).
% 5.89/6.00    Following clause subsumed by 96 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)).
% 5.89/6.00    Following clause subsumed by 97 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 100 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 101 [] -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)).
% 5.89/6.00    Following clause subsumed by 58 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)).
% 5.89/6.00    Following clause subsumed by 57 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)).
% 5.89/6.00    Following clause subsumed by 58 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.
% 5.89/6.00    Following clause subsumed by 57 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.
% 5.89/6.00  ** KEPT (pick-wt=12): 102 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=9): 103 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 57 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.
% 5.89/6.00  ** KEPT (pick-wt=18): 104 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 105 [] -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.
% 5.89/6.00  ** KEPT (pick-wt=9): 106 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=9): 107 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 5.89/6.00  ** KEPT (pick-wt=15): 108 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=9): 109 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=9): 110 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 5.89/6.00    Following clause subsumed by 105 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)).
% 5.89/6.00    Following clause subsumed by 106 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.89/6.00    Following clause subsumed by 109 during input processing: 0 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.89/6.00    Following clause subsumed by 108 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.
% 5.89/6.00    Following clause subsumed by 106 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.
% 5.89/6.00    Following clause subsumed by 105 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.
% 5.89/6.00    Following clause subsumed by 109 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.
% 5.89/6.00  ** KEPT (pick-wt=15): 111 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 112 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 113 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 114 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 115 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 116 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 117 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 118 [] -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)).
% 5.89/6.00    Following clause subsumed by 108 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.
% 5.89/6.00    Following clause subsumed by 105 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.
% 5.89/6.00  ** KEPT (pick-wt=18): 119 [] -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)).
% 5.89/6.00    Following clause subsumed by 104 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)).
% 5.89/6.00    Following clause subsumed by 108 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.
% 5.89/6.00    Following clause subsumed by 105 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.
% 5.89/6.00    Following clause subsumed by 119 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)).
% 5.89/6.00    Following clause subsumed by 104 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)).
% 5.89/6.00  ** KEPT (pick-wt=6): 120 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 5.89/6.00  ** KEPT (pick-wt=6): 121 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),A)).
% 5.89/6.00  ** KEPT (pick-wt=9): 122 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=9): 123 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.89/6.00    Following clause subsumed by 103 during input processing: 0 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=9): 124 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.89/6.00  ** KEPT (pick-wt=12): 125 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.89/6.00    Following clause subsumed by 122 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.89/6.00  ** KEPT (pick-wt=12): 126 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.89/6.00    Following clause subsumed by 103 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 122 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.
% 5.89/6.00    Following clause subsumed by 103 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.
% 5.89/6.00    Following clause subsumed by 122 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 103 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 125 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)).
% 5.89/6.00    Following clause subsumed by 126 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)).
% 5.89/6.00    Following clause subsumed by 125 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)).
% 5.89/6.00    Following clause subsumed by 126 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)).
% 5.89/6.00    Following clause subsumed by 122 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 103 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 123 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 5.89/6.00    Following clause subsumed by 124 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|B!=A.
% 5.89/6.00    Following clause subsumed by 125 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).
% 5.89/6.00    Following clause subsumed by 126 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).
% 5.89/6.00    Following clause subsumed by 125 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)).
% 5.89/6.00    Following clause subsumed by 126 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)).
% 5.89/6.00    Following clause subsumed by 125 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)).
% 5.89/6.00    Following clause subsumed by 126 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 127 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 128 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 129 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 130 [] 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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 131 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 132 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 133 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=15): 134 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 135 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 136 [] -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)).
% 5.89/6.00    Following clause subsumed by 135 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)).
% 5.89/6.00    Following clause subsumed by 136 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)).
% 5.89/6.00    Following clause subsumed by 125 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)).
% 5.89/6.00    Following clause subsumed by 126 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)).
% 5.89/6.00  ** KEPT (pick-wt=12): 137 [] -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)).
% 5.89/6.00  ** KEPT (pick-wt=12): 138 [] -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)).
% 5.89/6.00    Following clause subsumed by 137 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)).
% 5.89/6.00    Following clause subsumed by 138 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)).
% 5.89/6.00  ** KEPT (pick-wt=12): 139 [] -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)).
% 5.89/6.00    Following clause subsumed by 122 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 58 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.
% 5.89/6.00    Following clause subsumed by 102 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)).
% 5.89/6.00    Following clause subsumed by 103 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 57 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.
% 5.89/6.00    Following clause subsumed by 139 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)).
% 5.89/6.00    Following clause subsumed by 137 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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 140 [] 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)).
% 5.89/6.00    Following clause subsumed by 102 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)).
% 5.89/6.00    Following clause subsumed by 138 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)).
% 5.89/6.00  ** KEPT (pick-wt=18): 141 [] 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)).
% 5.89/6.00    Following clause subsumed by 58 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.
% 5.89/6.00    Following clause subsumed by 139 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)).
% 5.89/6.00    Following clause subsumed by 106 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 57 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.
% 5.89/6.00    Following clause subsumed by 102 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)).
% 5.89/6.00    Following clause subsumed by 109 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A!=B.
% 5.89/6.00    Following clause subsumed by 58 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.
% 5.89/6.00    Following clause subsumed by 106 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.
% 5.89/6.00    Following clause subsumed by 57 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.
% 5.89/6.00    Following clause subsumed by 109 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.
% 5.89/6.00    Following clause subsumed by 58 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)).
% 5.89/6.00    Following clause subsumed by 57 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)).
% 5.89/6.00    Following clause subsumed by 100 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)).
% 5.89/6.00    Following clause subsumed by 101 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)).
% 5.89/6.00    Following clause subsumed by 137 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)).
% 5.89/6.00    Following clause subsumed by 138 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)).
% 5.89/6.00    Following clause subsumed by 139 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)).
% 5.89/6.00    Following clause subsumed by 102 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)).
% 5.89/6.00    Following clause subsumed by 58 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.
% 5.89/6.00    Following clause subsumed by 122 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.
% 5.89/6.00    Following clause subsumed by 57 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.
% 5.89/6.00    Following clause subsumed by 103 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.
% 5.89/6.00    Following clause subsumed by 68 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.89/6.00  ** KEPT (pick-wt=23): 142 [] -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,$f29(C,A,B)),B))|hBOOL(hAPP_int_bool(C,A)).
% 5.89/6.00  ** KEPT (pick-wt=21): 143 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,B))|hBOOL(hAPP_int_bool(C,$f29(C,A,B)))|hBOOL(hAPP_int_bool(C,A)).
% 5.89/6.00  ** KEPT (pick-wt=23): 144 [] -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,minus_minus_int($f29(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(C,A)).
% 5.89/6.00  ** KEPT (pick-wt=25): 145 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f30(C,A,B)),B))|hBOOL(hAPP_int_bool(C,A)).
% 5.89/6.00  ** KEPT (pick-wt=23): 146 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(C,$f30(C,A,B)))|hBOOL(hAPP_int_bool(C,A)).
% 5.89/6.00  ** KEPT (pick-wt=25): 147 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,minus_minus_int(B,one_one_int)))| -hBOOL(hAPP_int_bool(C,minus_minus_int($f30(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(C,A)).
% 5.89/6.00  ** KEPT (pick-wt=23): 148 [] -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),$f31(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.89/6.00  ** KEPT (pick-wt=21): 149 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))|hBOOL(hAPP_int_bool(C,$f31(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.89/6.00  ** KEPT (pick-wt=23): 150 [] -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,plus_plus_int($f31(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 5.89/6.00  ** KEPT (pick-wt=25): 151 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),$f32(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.89/6.00  ** KEPT (pick-wt=23): 152 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))|hBOOL(hAPP_int_bool(C,$f32(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.99/6.00  ** KEPT (pick-wt=25): 153 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,plus_plus_int(A,one_one_int)))| -hBOOL(hAPP_int_bool(C,plus_plus_int($f32(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 5.99/6.00  ** KEPT (pick-wt=26): 154 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),$f33(C,A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f34(C,A,B)),B))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=24): 155 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),$f33(C,A,B)))|hBOOL(hAPP_int_bool(A,$f34(C,A,B)))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=26): 156 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),$f33(C,A,B)))| -hBOOL(hAPP_int_bool(A,minus_minus_int($f34(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=24): 157 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(A,$f33(C,A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f34(C,A,B)),B))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=22): 158 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(A,$f33(C,A,B)))|hBOOL(hAPP_int_bool(A,$f34(C,A,B)))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=24): 159 [] -hBOOL(hAPP_int_bool(A,B))|hBOOL(hAPP_int_bool(A,$f33(C,A,B)))| -hBOOL(hAPP_int_bool(A,minus_minus_int($f34(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=26): 160 [] -hBOOL(hAPP_int_bool(A,B))| -hBOOL(hAPP_int_bool(A,plus_plus_int($f33(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f34(C,A,B)),B))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=24): 161 [] -hBOOL(hAPP_int_bool(A,B))| -hBOOL(hAPP_int_bool(A,plus_plus_int($f33(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(A,$f34(C,A,B)))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=26): 162 [] -hBOOL(hAPP_int_bool(A,B))| -hBOOL(hAPP_int_bool(A,plus_plus_int($f33(C,A,B),one_one_int)))| -hBOOL(hAPP_int_bool(A,minus_minus_int($f34(C,A,B),one_one_int)))|hBOOL(hAPP_int_bool(A,C)).
% 5.99/6.00  ** KEPT (pick-wt=24): 163 [] -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)).
% 5.99/6.00  ** KEPT (pick-wt=20): 164 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),$f35(A,B)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f35(A,B),one_one_int)))|hBOOL(hAPP_int_bool(B,A)).
% 5.99/6.00  ** KEPT (pick-wt=10): 165 [] -hBOOL(hAPP_int_bool(A,$f35(B,A)))|hBOOL(hAPP_int_bool(A,B)).
% 5.99/6.00  ** KEPT (pick-wt=41): 166 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),E))|plus_plus_int(D,E)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(D,A),times_times_int(E,C))),B)).
% 5.99/6.00  ** KEPT (pick-wt=11): 167 [] times_times_int(A,B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 5.99/6.00  ** KEPT (pick-wt=8): 168 [] times_times_int(A,B)=zero_zero_int|A!=zero_zero_int.
% 5.99/6.00  ** KEPT (pick-wt=8): 169 [] times_times_int(A,B)=zero_zero_int|B!=zero_zero_int.
% 5.99/6.00  ** KEPT (pick-wt=11): 170 [] A=zero_zero_nat|B=zero_zero_nat|times_times_nat(A,B)!=zero_zero_nat.
% 5.99/6.00    Following clause subsumed by 167 during input processing: 0 [] A=zero_zero_int|B=zero_zero_int|times_times_int(A,B)!=zero_zero_int.
% 5.99/6.00    Following clause subsumed by 170 during input processing: 0 [] times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 5.99/6.00    Following clause subsumed by 167 during input processing: 0 [] times_times_int(A,B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 5.99/6.00  ** KEPT (pick-wt=8): 172 [copy,171,flip.1] plus_plus_nat(A,B)!=A|B=zero_zero_nat.
% 5.99/6.00  ** KEPT (pick-wt=8): 174 [copy,173,flip.1] plus_plus_nat(A,B)=A|B!=zero_zero_nat.
% 5.99/6.01  ** KEPT (pick-wt=8): 176 [copy,175,flip.1] plus_plus_int(A,B)!=A|B=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=8): 178 [copy,177,flip.1] plus_plus_int(A,B)=A|B!=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=8): 180 [copy,179,flip.1] plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=8): 182 [copy,181,flip.1] plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int.
% 5.99/6.01    Following clause subsumed by 180 during input processing: 0 [] plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int.
% 5.99/6.01    Following clause subsumed by 182 during input processing: 0 [] plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=6): 183 [] zero_zero_nat!=A|A=zero_zero_nat.
% 5.99/6.01  ** KEPT (pick-wt=6): 184 [] zero_zero_nat=A|A!=zero_zero_nat.
% 5.99/6.01  ** KEPT (pick-wt=6): 185 [] zero_zero_int!=A|A=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=6): 186 [] zero_zero_int=A|A!=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=8): 187 [] A!=B|minus_minus_int(A,B)=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=8): 188 [] A=B|minus_minus_int(A,B)!=zero_zero_int.
% 5.99/6.01    Following clause subsumed by 188 during input processing: 0 [] minus_minus_int(A,B)!=zero_zero_int|A=B.
% 5.99/6.01    Following clause subsumed by 187 during input processing: 0 [] minus_minus_int(A,B)=zero_zero_int|A!=B.
% 5.99/6.01  ** KEPT (pick-wt=3): 190 [copy,189,flip.1] zero_zero_nat!=one_one_nat.
% 5.99/6.01  ** KEPT (pick-wt=3): 192 [copy,191,flip.1] zero_zero_int!=one_one_int.
% 5.99/6.01    Following clause subsumed by 190 during input processing: 0 [] zero_zero_nat!=one_one_nat.
% 5.99/6.01    Following clause subsumed by 192 during input processing: 0 [] zero_zero_int!=one_one_int.
% 5.99/6.01    Following clause subsumed by 192 during input processing: 0 [] zero_zero_int!=one_one_int.
% 5.99/6.01  ** KEPT (pick-wt=20): 193 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 194 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 195 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 196 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 197 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=20): 198 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=34): 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,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 200 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,C)),times_times_int(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 201 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 202 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,C)),times_times_int(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=22): 203 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C,B)),times_times_int(C,A))).
% 5.99/6.01  ** KEPT (pick-wt=22): 204 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B,C)),times_times_int(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=22): 205 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 5.99/6.01  ** KEPT (pick-wt=22): 206 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C,A)),times_times_int(C,B))).
% 5.99/6.01    Following clause subsumed by 205 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 5.99/6.01    Following clause subsumed by 206 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(C,A)),times_times_int(C,B))).
% 5.99/6.01  ** KEPT (pick-wt=22): 207 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 5.99/6.01  ** KEPT (pick-wt=22): 208 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,C)),times_times_int(B,C))).
% 5.99/6.01    Following clause subsumed by 198 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 5.99/6.01    Following clause subsumed by 194 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 5.99/6.01    Following clause subsumed by 196 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 194 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(B,A)),zero_zero_nat)).
% 5.99/6.01    Following clause subsumed by 196 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B,A)),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 193 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),zero_zero_nat)).
% 5.99/6.01    Following clause subsumed by 195 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 209 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),times_times_nat(A,B))).
% 5.99/6.01    Following clause subsumed by 197 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=20): 210 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 211 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 5.99/6.01  ** KEPT (pick-wt=20): 212 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 213 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 5.99/6.01    Following clause subsumed by 195 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 196 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 5.99/6.01  ** KEPT (pick-wt=20): 214 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 215 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 216 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 217 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 197 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 5.99/6.01    Following clause subsumed by 198 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 218 [] -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,times_times_int(C,B)),times_times_int(C,A))).
% 5.99/6.01  ** KEPT (pick-wt=22): 219 [] -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,times_times_int(B,C)),times_times_int(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=22): 220 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 5.99/6.01  ** KEPT (pick-wt=22): 221 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C,A)),times_times_int(C,B))).
% 5.99/6.01    Following clause subsumed by 220 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,times_times_nat(C,A)),times_times_nat(C,B))).
% 5.99/6.01    Following clause subsumed by 221 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,times_times_int(C,A)),times_times_int(C,B))).
% 5.99/6.01  ** KEPT (pick-wt=22): 222 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 5.99/6.01  ** KEPT (pick-wt=22): 223 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 224 [] -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),times_times_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=20): 225 [] -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,times_times_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 226 [] -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,times_times_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 227 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 5.99/6.01    Following clause subsumed by 218 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,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 5.99/6.01  ** KEPT (pick-wt=20): 228 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.99/6.01  ** KEPT (pick-wt=20): 229 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.99/6.01  ** KEPT (pick-wt=20): 230 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 5.99/6.01  ** KEPT (pick-wt=20): 231 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 5.99/6.01    Following clause subsumed by 225 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(B,A)),zero_zero_nat)).
% 5.99/6.01    Following clause subsumed by 226 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,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(B,A)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 232 [] -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,times_times_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 233 [] -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,times_times_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 234 [] -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),times_times_nat(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=20): 235 [] -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),times_times_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=22): 236 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.99/6.01    Following clause subsumed by 221 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,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 237 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 238 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 5.99/6.01  ** KEPT (pick-wt=22): 239 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 240 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 5.99/6.01    Following clause subsumed by 221 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.99/6.01    Following clause subsumed by 218 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 5.99/6.01  ** KEPT (pick-wt=22): 241 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 242 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 5.99/6.01  ** KEPT (pick-wt=22): 243 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 244 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 5.99/6.01    Following clause subsumed by 223 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.99/6.01    Following clause subsumed by 219 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 5.99/6.01  ** KEPT (pick-wt=8): 245 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,A)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 246 [] -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,plus_plus_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 247 [] -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,plus_plus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 248 [] -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),plus_plus_nat(C,A))).
% 5.99/6.01  ** KEPT (pick-wt=20): 249 [] -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),plus_plus_int(C,A))).
% 5.99/6.01  ** KEPT (pick-wt=20): 250 [] -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),plus_plus_nat(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 251 [] -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),plus_plus_int(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 252 [] -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))|plus_plus_nat(A,B)!=zero_zero_nat|A=zero_zero_nat.
% 5.99/6.01  ** KEPT (pick-wt=20): 253 [] -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))|plus_plus_nat(A,B)!=zero_zero_nat|B=zero_zero_nat.
% 5.99/6.01  ** KEPT (pick-wt=23): 254 [] -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))|plus_plus_nat(A,B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 5.99/6.01  ** KEPT (pick-wt=20): 255 [] -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))|plus_plus_int(A,B)!=zero_zero_int|A=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=20): 256 [] -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))|plus_plus_int(A,B)!=zero_zero_int|B=zero_zero_int.
% 5.99/6.01  ** KEPT (pick-wt=23): 257 [] -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))|plus_plus_int(A,B)=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int.
% 5.99/6.01    Following clause subsumed by 250 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,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 5.99/6.01    Following clause subsumed by 251 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),plus_plus_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=14): 258 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.99/6.01  ** KEPT (pick-wt=14): 259 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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)).
% 5.99/6.01  ** KEPT (pick-wt=14): 260 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(A,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 5.99/6.01  ** KEPT (pick-wt=14): 261 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(A,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 5.99/6.01  ** KEPT (pick-wt=20): 262 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 263 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 264 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),plus_plus_nat(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 265 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),plus_plus_int(A,C))).
% 5.99/6.01    Following clause subsumed by 264 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 5.99/6.01    Following clause subsumed by 265 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=14): 266 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=14): 267 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 266 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 267 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=14): 268 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.99/6.01  ** KEPT (pick-wt=14): 269 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.99/6.01  ** KEPT (pick-wt=6): 270 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=6): 271 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=6): 272 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=6): 273 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=14): 274 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=14): 275 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 276 [] A=zero_zero_nat|B!=C|D=E|plus_plus_nat(B,times_times_nat(A,D))!=plus_plus_nat(C,times_times_nat(A,E)).
% 5.99/6.01  ** KEPT (pick-wt=20): 277 [] A=zero_zero_int|B!=C|D=E|plus_plus_int(B,times_times_int(A,D))!=plus_plus_int(C,times_times_int(A,E)).
% 5.99/6.01  ** KEPT (pick-wt=14): 278 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=14): 279 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=25): 280 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=minus_minus_int(B,one_one_int)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),minus_minus_int(B,one_one_int))).
% 5.99/6.01    Following clause subsumed by 221 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,times_times_int(C,A)),times_times_int(C,B))).
% 5.99/6.01  ** KEPT (pick-wt=7): 281 [] plus_plus_int(plus_plus_int(one_one_int,A),A)!=zero_zero_int.
% 5.99/6.01    Following clause subsumed by 278 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 5.99/6.01    Following clause subsumed by 279 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=22): 282 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 283 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 284 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 285 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 286 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 287 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.99/6.01    Following clause subsumed by 286 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.99/6.01    Following clause subsumed by 287 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 288 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 289 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.99/6.01    Following clause subsumed by 288 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.99/6.01    Following clause subsumed by 289 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.99/6.01  ** KEPT (pick-wt=34): 290 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 291 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 292 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 293 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 294 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 295 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 296 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=34): 297 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,C)),times_times_int(B,D))).
% 5.99/6.01  ** KEPT (pick-wt=22): 298 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 5.99/6.01  ** KEPT (pick-wt=22): 299 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 5.99/6.01    Following clause subsumed by 283 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=22): 300 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.99/6.01  ** KEPT (pick-wt=20): 301 [] -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_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 302 [] -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_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 303 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_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_nat,plus_plus_nat(A,B)),zero_zero_nat)).
% 5.99/6.01  ** KEPT (pick-wt=20): 304 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=20): 305 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),plus_plus_nat(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 306 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),plus_plus_int(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 307 [] -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))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),plus_plus_nat(A,C))).
% 5.99/6.01  ** KEPT (pick-wt=20): 308 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),plus_plus_int(A,C))).
% 5.99/6.01    Following clause subsumed by 305 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_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 5.99/6.01    Following clause subsumed by 306 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_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 5.99/6.01    Following clause subsumed by 307 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,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 5.99/6.01    Following clause subsumed by 308 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 5.99/6.01  ** KEPT (pick-wt=26): 309 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(B,A)),A)).
% 5.99/6.01  ** KEPT (pick-wt=26): 310 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,times_times_int(A,B)),A)).
% 5.99/6.01  ** KEPT (pick-wt=12): 311 [] -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)).
% 5.99/6.01  ** KEPT (pick-wt=12): 312 [] 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)).
% 5.99/6.01  ** KEPT (pick-wt=14): 313 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|times_times_int(A,B)!=one_one_int|A=one_one_int.
% 5.99/6.01  ** KEPT (pick-wt=14): 314 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|times_times_int(A,B)!=one_one_int|B=one_one_int.
% 5.99/6.01  ** KEPT (pick-wt=17): 315 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|times_times_int(A,B)=one_one_int|A!=one_one_int|B!=one_one_int.
% 5.99/6.01  ** KEPT (pick-wt=16): 316 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=16): 317 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.99/6.01  ** KEPT (pick-wt=41): 318 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),E))|plus_plus_int(D,E)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(D,A),times_times_int(E,C))),B)).
% 5.99/6.01  ** KEPT (pick-wt=14): 319 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,A))).
% 5.99/6.01  ** KEPT (pick-wt=25): 321 [copy,320,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|plus_plus_int(B,times_times_int(A,C))!=A| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),C)).
% 5.99/6.01  ** KEPT (pick-wt=25): 323 [copy,322,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|plus_plus_int(B,times_times_int(A,C))!=A| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),one_one_int)).
% 5.99/6.02  ** KEPT (pick-wt=28): 324 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(A,B),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B)).
% 5.99/6.02  ** KEPT (pick-wt=28): 325 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,B),C)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)).
% 5.99/6.02  ** KEPT (pick-wt=51): 326 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,E),F)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(D,E),F)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),F))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,E),B)).
% 5.99/6.02  ** KEPT (pick-wt=38): 327 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(A,D),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,E),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),E))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),B)).
% 5.99/6.02  ** KEPT (pick-wt=51): 328 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,E),F)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(D,E),F)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,F),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,D),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),E)).
% 5.99/6.02  ** KEPT (pick-wt=38): 329 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,B),C)),plus_plus_int(times_times_int(A,D),E)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,E),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),D)).
% 5.99/6.02  ** KEPT (pick-wt=24): 330 [] -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=plus_plus_int(times_times_int(D,B),times_times_int(E,A)).
% 5.99/6.02  ** KEPT (pick-wt=12): 331 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int)).
% 5.99/6.02  ** KEPT (pick-wt=18): 332 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(A,A),times_times_int(B,B))))|A!=zero_zero_int|B!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=12): 333 [] plus_plus_int(times_times_int(A,A),times_times_int(B,B))!=zero_zero_int|A=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=12): 334 [] plus_plus_int(times_times_int(A,A),times_times_int(B,B))!=zero_zero_int|B=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=15): 335 [] plus_plus_int(times_times_int(A,A),times_times_int(B,B))=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=15): 336 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int))|A=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=15): 337 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int))|B=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=18): 338 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))),zero_zero_int))|A!=zero_zero_int|B!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=48): 339 [] -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!=plus_plus_int(times_times_int(E,B),times_times_int(G,C))|A!=plus_plus_int(times_times_int(F,B),times_times_int(H,C))|I=plus_plus_int(times_times_int(J,B),times_times_int(K,C)).
% 5.99/6.02    Following clause subsumed by 251 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),plus_plus_int(A,B))).
% 5.99/6.02    Following clause subsumed by 197 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,B))).
% 5.99/6.02    Following clause subsumed by 231 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),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 5.99/6.02  ** KEPT (pick-wt=31): 340 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f36(C,B,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,minus_minus_int(D,times_times_int(C,A)))).
% 5.99/6.02  ** KEPT (pick-wt=33): 341 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f36(C,B,A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,minus_minus_int(D,times_times_int(C,A)))).
% 5.99/6.02  ** KEPT (pick-wt=31): 342 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f37(C,B,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,plus_plus_int(D,times_times_int(C,A)))).
% 5.99/6.02  ** KEPT (pick-wt=33): 343 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,plus_plus_int($f37(C,B,A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(B,D))|hBOOL(hAPP_int_bool(B,plus_plus_int(D,times_times_int(C,A)))).
% 5.99/6.02  ** KEPT (pick-wt=13): 344 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),$f38(B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 5.99/6.02  ** KEPT (pick-wt=13): 345 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),$f39(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 5.99/6.02  ** KEPT (pick-wt=13): 346 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f40(A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.99/6.02  ** KEPT (pick-wt=13): 347 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f41(A)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.99/6.02  ** KEPT (pick-wt=13): 348 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f42(A)),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 5.99/6.02  ** KEPT (pick-wt=13): 349 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f43(A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 5.99/6.02  ** KEPT (pick-wt=13): 350 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),$f44(B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.99/6.02  ** KEPT (pick-wt=13): 351 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),$f45(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.99/6.02  ** KEPT (pick-wt=33): 352 [] A!=plus_plus_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))).
% 5.99/6.02  ** KEPT (pick-wt=33): 353 [] A!=plus_plus_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))).
% 5.99/6.02    Following clause subsumed by 126 during input processing: 0 [] A!=plus_plus_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))).
% 5.99/6.02  ** KEPT (pick-wt=14): 354 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(B,C)))|A=zero_zero_int|C=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=22): 355 [] -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.
% 5.99/6.02  ** KEPT (pick-wt=22): 356 [] -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.
% 5.99/6.02  ** KEPT (pick-wt=14): 357 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,A),product_Pair_int_int(B,C)))|A=zero_zero_int|B=one_one_int.
% 5.99/6.02  ** KEPT (pick-wt=48): 358 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f47(C,B,A)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f47(C,B,A),times_times_int($f46(C,B,A),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f48(C,B,A,D)),D))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f49(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=54): 359 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f47(C,B,A)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f47(C,B,A),times_times_int($f46(C,B,A),A))))|hBOOL(hAPP_int_bool(C,$f48(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f48(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f49(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=50): 361 [copy,360,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f47(C,B,A)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f47(C,B,A),times_times_int($f46(C,B,A),A))))| -hBOOL(hAPP_int_bool(C,$f48(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f48(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f49(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=44): 363 [copy,362,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f47(C,B,A)))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f47(C,B,A),times_times_int($f46(C,B,A),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f48(C,B,A,D)),D))|hBOOL(hAPP_int_bool(C,$f49(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=50): 365 [copy,364,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f47(C,B,A)))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f47(C,B,A),times_times_int($f46(C,B,A),A))))|hBOOL(hAPP_int_bool(C,$f48(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f48(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f49(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=50): 367 [copy,366,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f47(C,B,A)))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f47(C,B,A),times_times_int($f46(C,B,A),A))))| -hBOOL(hAPP_int_bool(C,$f48(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f48(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f49(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=48): 368 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f51(C,B,A)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f51(C,B,A),times_times_int($f50(C,B,A),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,D),$f52(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f53(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=54): 369 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f51(C,B,A)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f51(C,B,A),times_times_int($f50(C,B,A),A))))|hBOOL(hAPP_int_bool(C,$f52(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f52(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,E))|hBOOL(hAPP_int_bool(C,$f53(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=50): 371 [copy,370,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,$f51(C,B,A)))|hBOOL(hAPP_int_bool(B,minus_minus_int($f51(C,B,A),times_times_int($f50(C,B,A),A))))| -hBOOL(hAPP_int_bool(C,$f52(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f52(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f53(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=44): 373 [copy,372,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f51(C,B,A)))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f51(C,B,A),times_times_int($f50(C,B,A),A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,D),$f52(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f53(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=50): 375 [copy,374,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f51(C,B,A)))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f51(C,B,A),times_times_int($f50(C,B,A),A))))|hBOOL(hAPP_int_bool(C,$f52(C,B,A,D)))|hBOOL(hAPP_int_bool(B,$f52(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f53(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=50): 377 [copy,376,factor_simp] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,$f51(C,B,A)))| -hBOOL(hAPP_int_bool(B,minus_minus_int($f51(C,B,A),times_times_int($f50(C,B,A),A))))| -hBOOL(hAPP_int_bool(C,$f52(C,B,A,D)))| -hBOOL(hAPP_int_bool(B,$f52(C,B,A,D)))|hBOOL(hAPP_int_bool(C,$f53(C,B,A))).
% 5.99/6.02  ** KEPT (pick-wt=13): 378 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|nat_tsub(B,A)=minus_minus_int(B,A).
% 5.99/6.02  ** KEPT (pick-wt=10): 379 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))|zfact(A)=one_one_int.
% 5.99/6.02  ** KEPT (pick-wt=20): 380 [] -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))).
% 5.99/6.02    Following clause subsumed by 378 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|nat_tsub(B,A)=minus_minus_int(B,A).
% 5.99/6.02  ** KEPT (pick-wt=20): 381 [] -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))).
% 5.99/6.02  ** KEPT (pick-wt=21): 382 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(B,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(B,C)),one_one_int),A))),C)).
% 5.99/6.02  ** KEPT (pick-wt=7): 383 [] abs_abs_int(A)!=zero_zero_int|A=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=7): 384 [] abs_abs_int(A)=zero_zero_int|A!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=10): 385 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|abs_abs_int(A)=A.
% 5.99/6.02  ** KEPT (pick-wt=10): 386 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(A)),zero_zero_int))|A=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=10): 387 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(A)),zero_zero_int))|A!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=10): 388 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|abs_abs_int(A)=A.
% 5.99/6.02  ** KEPT (pick-wt=10): 389 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),abs_abs_int(A)))|A!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=7): 390 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),zero_zero_int)).
% 5.99/6.02  ** KEPT (pick-wt=26): 391 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(C)),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(abs_abs_int(A),abs_abs_int(C))),times_times_int(B,D))).
% 5.99/6.02  ** KEPT (pick-wt=10): 392 [] abs_abs_int(times_times_int(A,B))!=one_one_int|abs_abs_int(A)=one_one_int.
% 5.99/6.02  ** KEPT (pick-wt=13): 393 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(A)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.99/6.02  ** KEPT (pick-wt=15): 395 [copy,394,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|abs_abs_int(times_times_int(B,A))=times_times_int(abs_abs_int(B),A).
% 5.99/6.02  ** KEPT (pick-wt=22): 396 [] -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))|abs_abs_int(times_times_int(A,B))=times_times_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.02  ** KEPT (pick-wt=22): 397 [] -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))|abs_abs_int(times_times_int(A,B))=times_times_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.02  ** KEPT (pick-wt=22): 398 [] -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))|abs_abs_int(times_times_int(A,B))=times_times_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.02  ** KEPT (pick-wt=22): 399 [] -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))|abs_abs_int(times_times_int(A,B))=times_times_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.02  ** KEPT (pick-wt=10): 400 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),one_one_int))|A=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=10): 401 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(A)),one_one_int))|A!=zero_zero_int.
% 5.99/6.02  ** KEPT (pick-wt=21): 402 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),plus_plus_int(C,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(C,B)),one_one_int),A)))).
% 5.99/6.02  ** KEPT (pick-wt=17): 403 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(A,B))),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(B,C)),A)).
% 5.99/6.02  ** KEPT (pick-wt=17): 404 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(A,B))),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,C))).
% 5.99/6.02  ** KEPT (pick-wt=25): 405 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(minus_minus_int(A,B))),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(B,C)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(B,C))).
% 5.99/6.02  ** KEPT (pick-wt=11): 406 [] A!=zero_zero_int|pdivmod(B,A)=product_Pair_int_int(zero_zero_int,abs_abs_int(B)).
% 5.99/6.02  ** KEPT (pick-wt=34): 407 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f54(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,$f55(A,B,C)),C)).
% 5.99/6.02  ** KEPT (pick-wt=33): 408 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f54(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,$f55(A,B,C))=A.
% 5.99/6.02  ** KEPT (pick-wt=46): 409 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(A,plus_plus_nat($f54(B,A,C),one_one_nat)),hAPP_nat_int(A,$f54(B,A,C))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,zero_zero_nat)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f55(B,A,C)),C)).
% 5.99/6.02  ** KEPT (pick-wt=45): 410 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(A,plus_plus_nat($f54(B,A,C),one_one_nat)),hAPP_nat_int(A,$f54(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,$f55(B,A,C))=B.
% 5.99/6.02  ** KEPT (pick-wt=34): 411 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f56(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,$f57(A,B,C)),C)).
% 5.99/6.02  ** KEPT (pick-wt=33): 412 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f56(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,$f57(A,B,C))=A.
% 5.99/6.02  ** KEPT (pick-wt=46): 413 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(A,plus_plus_nat($f56(B,A,C),one_one_nat)),hAPP_nat_int(A,$f56(B,A,C))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(A,zero_zero_nat)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_nat_int(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f57(B,A,C)),C)).
% 5.99/6.02  ** KEPT (pick-wt=45): 414 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(hAPP_nat_int(A,plus_plus_nat($f56(B,A,C),one_one_nat)),hAPP_nat_int(A,$f56(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,$f57(B,A,C))=B.
% 5.99/6.02  ** KEPT (pick-wt=8): 415 [] A!=zero_zero_nat|times_times_nat(A,B)=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=6): 416 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 5.99/6.02    Following clause subsumed by 170 during input processing: 0 [] times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 5.99/6.02    Following clause subsumed by 415 during input processing: 0 [] times_times_nat(A,B)=zero_zero_nat|A!=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=8): 417 [] times_times_nat(A,B)=zero_zero_nat|B!=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=13): 418 [] times_times_nat(A,B)!=times_times_nat(A,C)|B=C|A=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=10): 419 [] times_times_nat(A,B)=times_times_nat(A,C)|B!=C.
% 5.99/6.02  ** KEPT (pick-wt=10): 420 [] times_times_nat(A,B)=times_times_nat(A,C)|A!=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=13): 421 [] times_times_nat(A,B)!=times_times_nat(C,B)|A=C|B=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=10): 422 [] times_times_nat(A,B)=times_times_nat(C,B)|A!=C.
% 5.99/6.02  ** KEPT (pick-wt=10): 423 [] times_times_nat(A,B)=times_times_nat(C,B)|B!=zero_zero_nat.
% 5.99/6.02  ** KEPT (pick-wt=13): 424 [] minus_minus_nat(A,B)!=zero_zero_nat|minus_minus_nat(B,A)!=zero_zero_nat|A=B.
% 5.99/6.02  ** KEPT (pick-wt=14): 425 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(A,C)),B)).
% 5.99/6.02  ** KEPT (pick-wt=22): 426 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(C,B)),minus_minus_nat(C,A))).
% 5.99/6.02    Following clause subsumed by 120 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 5.99/6.02    Following clause subsumed by 122 during input processing: 0 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.99/6.02    Following clause subsumed by 123 during input processing: 0 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.02    Following clause subsumed by 120 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 5.99/6.02    Following clause subsumed by 123 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 5.99/6.02    Following clause subsumed by 122 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.99/6.02    Following clause subsumed by 11 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 5.99/6.02    Following clause subsumed by 15 during input processing: 0 [] plus_plus_nat(A,B)=plus_plus_nat(A,C)|B!=C.
% 5.99/6.02    Following clause subsumed by 9 during input processing: 0 [] plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 5.99/6.02    Following clause subsumed by 13 during input processing: 0 [] plus_plus_nat(A,B)=plus_plus_nat(C,B)|A!=C.
% 5.99/6.02  ** KEPT (pick-wt=16): 427 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(C,B)),minus_minus_nat(C,A))).
% 5.99/6.02  ** KEPT (pick-wt=16): 428 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(A,C)),minus_minus_nat(B,C))).
% 5.99/6.02  ** KEPT (pick-wt=13): 429 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(B,minus_minus_nat(B,A))=A.
% 5.99/6.02  ** KEPT (pick-wt=22): 430 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|minus_minus_nat(B,A)!=minus_minus_nat(C,A)|B=C.
% 5.99/6.02  ** KEPT (pick-wt=22): 431 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|minus_minus_nat(B,A)=minus_minus_nat(C,A)|B!=C.
% 5.99/6.02  ** KEPT (pick-wt=23): 432 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|minus_minus_nat(minus_minus_nat(B,A),minus_minus_nat(C,A))=minus_minus_nat(B,C).
% 5.99/6.02  ** KEPT (pick-wt=28): 433 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(B,A)),minus_minus_nat(C,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.99/6.02    Following clause subsumed by 428 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,minus_minus_nat(B,A)),minus_minus_nat(C,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.99/6.02    Following clause subsumed by 106 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.99/6.02    Following clause subsumed by 119 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)).
% 5.99/6.02    Following clause subsumed by 108 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.
% 5.99/6.02  ** KEPT (pick-wt=22): 434 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,D))).
% 5.99/6.02  ** KEPT (pick-wt=16): 435 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 5.99/6.02  ** KEPT (pick-wt=16): 436 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 5.99/6.02  ** KEPT (pick-wt=8): 438 [copy,437,flip.1] times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 5.99/6.02  ** KEPT (pick-wt=8): 440 [copy,439,flip.1] times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 5.99/6.02  ** KEPT (pick-wt=11): 442 [copy,441,flip.1] times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 5.99/6.02    Following clause subsumed by 438 during input processing: 0 [] times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 5.99/6.02    Following clause subsumed by 440 during input processing: 0 [] times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 5.99/6.02    Following clause subsumed by 442 during input processing: 0 [] times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 5.99/6.02  ** KEPT (pick-wt=14): 443 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.02  ** KEPT (pick-wt=14): 444 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.02  ** KEPT (pick-wt=20): 445 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(B,A)),B)).
% 5.99/6.02    Following clause subsumed by 416 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 5.99/6.02    Following clause subsumed by 123 during input processing: 0 [] A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.99/6.02    Following clause subsumed by 416 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 5.99/6.02  ** KEPT (pick-wt=9): 446 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=zero_zero_nat.
% 5.99/6.02    Following clause subsumed by 220 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,times_times_nat(C,A)),times_times_nat(C,B))).
% 5.99/6.02    Following clause subsumed by 222 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,C)),times_times_nat(B,C))).
% 5.99/6.02  ** KEPT (pick-wt=16): 447 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 5.99/6.02  ** KEPT (pick-wt=16): 448 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.99/6.02    Following clause subsumed by 222 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.99/6.02  ** KEPT (pick-wt=16): 449 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.99/6.05  ** KEPT (pick-wt=16): 450 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.99/6.05    Following clause subsumed by 220 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.99/6.05  ** KEPT (pick-wt=14): 451 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.99/6.05  ** KEPT (pick-wt=14): 452 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 5.99/6.05    Following clause subsumed by 234 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 5.99/6.05  ** KEPT (pick-wt=8): 453 [] plus_plus_nat(A,B)!=zero_zero_nat|A=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=8): 454 [] plus_plus_nat(A,B)!=zero_zero_nat|B=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=11): 455 [] plus_plus_nat(A,B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 5.99/6.05    Following clause subsumed by 172 during input processing: 0 [] plus_plus_nat(A,B)!=A|B=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=11): 456 [] minus_minus_nat(A,B)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.99/6.05  ** KEPT (pick-wt=11): 457 [] minus_minus_nat(A,B)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.99/6.05    Following clause subsumed by 457 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|minus_minus_nat(A,B)=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=9): 458 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A=zero_zero_nat.
% 5.99/6.05    Following clause subsumed by 106 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=16): 459 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),minus_minus_nat(B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),B)).
% 5.99/6.05  ** KEPT (pick-wt=16): 460 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),B)).
% 5.99/6.05  ** KEPT (pick-wt=14): 461 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.99/6.05  ** KEPT (pick-wt=19): 462 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|plus_plus_nat(C,B)!=plus_plus_nat(A,D)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D)).
% 5.99/6.05    Following clause subsumed by 79 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 5.99/6.05    Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 5.99/6.05  ** KEPT (pick-wt=14): 463 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),plus_plus_nat(C,B))).
% 5.99/6.05  ** KEPT (pick-wt=14): 464 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),plus_plus_nat(B,C))).
% 5.99/6.05  ** KEPT (pick-wt=26): 466 [copy,465,flip.1] twoSqu140629262sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(a,p),times_times_int(b,q)),minus_minus_int(times_times_int(a,q),times_times_int(b,p))))!=times_times_int(twoSqu140629262sum2sq(product_Pair_int_int(a,b)),twoSqu140629262sum2sq(product_Pair_int_int(p,q))).
% 5.99/6.05  416 back subsumes 303.
% 5.99/6.05  416 back subsumes 301.
% 5.99/6.05  416 back subsumes 272.
% 5.99/6.05  416 back subsumes 262.
% 5.99/6.05  416 back subsumes 232.
% 5.99/6.05  416 back subsumes 225.
% 5.99/6.05  434 back subsumes 201.
% 5.99/6.05  434 back subsumes 199.
% 5.99/6.05  435 back subsumes 205.
% 5.99/6.05  436 back subsumes 207.
% 5.99/6.05  448 back subsumes 288.
% 5.99/6.05  450 back subsumes 286.
% 5.99/6.05  451 back subsumes 228.
% 5.99/6.05  452 back subsumes 230.
% 5.99/6.05  453 back subsumes 252.
% 5.99/6.05  454 back subsumes 253.
% 5.99/6.05  455 back subsumes 254.
% 5.99/6.05  463 back subsumes 305.
% 5.99/6.05  463 back subsumes 264.
% 5.99/6.05  496 back subsumes 491.
% 5.99/6.05  
% 5.99/6.05  ------------> process sos:
% 5.99/6.05  ** KEPT (pick-wt=3): 622 [] A=A.
% 5.99/6.05  ** KEPT (pick-wt=4): 623 [] is_bool(hAPP_int_bool(A,B)).
% 5.99/6.05  ** KEPT (pick-wt=4): 624 [] is_bool(hAPP_nat_bool(A,B)).
% 5.99/6.05  ** KEPT (pick-wt=4): 625 [] is_bool(hAPP_P603027463t_bool(A,B)).
% 5.99/6.05  ** KEPT (pick-wt=4): 626 [] is_bool(hAPP_P178748804t_bool(A,B)).
% 5.99/6.05  ** KEPT (pick-wt=33): 627 [] plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(B,C)),D),times_times_int(minus_minus_int(E,times_times_int(B,F)),G))=minus_minus_int(plus_plus_int(times_times_int(A,D),times_times_int(E,G)),times_times_int(B,plus_plus_int(times_times_int(C,D),times_times_int(F,G)))).
% 5.99/6.05  ** KEPT (pick-wt=19): 629 [copy,628,flip.1] plus_plus_int(times_times_int(A,minus_minus_int(B,C)),times_times_int(minus_minus_int(A,D),C))=minus_minus_int(times_times_int(A,B),times_times_int(D,C)).
% 5.99/6.05  ---> New Demodulator: 630 [new_demod,629] plus_plus_int(times_times_int(A,minus_minus_int(B,C)),times_times_int(minus_minus_int(A,D),C))=minus_minus_int(times_times_int(A,B),times_times_int(D,C)).
% 5.99/6.05  ** KEPT (pick-wt=13): 631 [] times_times_int(A,minus_minus_int(B,C))=minus_minus_int(times_times_int(A,B),times_times_int(A,C)).
% 5.99/6.05  ---> New Demodulator: 632 [new_demod,631] times_times_int(A,minus_minus_int(B,C))=minus_minus_int(times_times_int(A,B),times_times_int(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=13): 633 [] times_times_int(minus_minus_int(A,B),C)=minus_minus_int(times_times_int(A,C),times_times_int(B,C)).
% 5.99/6.05  ---> New Demodulator: 634 [new_demod,633] times_times_int(minus_minus_int(A,B),C)=minus_minus_int(times_times_int(A,C),times_times_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=13): 635 [] times_times_int(A,plus_plus_int(B,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 5.99/6.05  ---> New Demodulator: 636 [new_demod,635] times_times_int(A,plus_plus_int(B,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=13): 637 [] times_times_int(plus_plus_int(A,B),C)=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 5.99/6.05  ---> New Demodulator: 638 [new_demod,637] times_times_int(plus_plus_int(A,B),C)=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=7): 639 [] plus_plus_int(minus_minus_int(A,B),B)=A.
% 5.99/6.05  ---> New Demodulator: 640 [new_demod,639] plus_plus_int(minus_minus_int(A,B),B)=A.
% 5.99/6.05  ** KEPT (pick-wt=11): 641 [] times_times_int(times_times_int(A,B),C)=times_times_int(A,times_times_int(B,C)).
% 5.99/6.05  ---> New Demodulator: 642 [new_demod,641] times_times_int(times_times_int(A,B),C)=times_times_int(A,times_times_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 643 [] times_times_nat(times_times_nat(A,B),C)=times_times_nat(A,times_times_nat(B,C)).
% 5.99/6.05  ---> New Demodulator: 644 [new_demod,643] times_times_nat(times_times_nat(A,B),C)=times_times_nat(A,times_times_nat(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 645 [] plus_plus_int(plus_plus_int(A,B),C)=plus_plus_int(A,plus_plus_int(B,C)).
% 5.99/6.05  ---> New Demodulator: 646 [new_demod,645] plus_plus_int(plus_plus_int(A,B),C)=plus_plus_int(A,plus_plus_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 647 [] plus_plus_nat(plus_plus_nat(A,B),C)=plus_plus_nat(A,plus_plus_nat(B,C)).
% 5.99/6.05  ---> New Demodulator: 648 [new_demod,647] plus_plus_nat(plus_plus_nat(A,B),C)=plus_plus_nat(A,plus_plus_nat(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,642] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=7): 649 [] times_times_int(A,B)=times_times_int(B,A).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,646] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 650 [] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=7): 651 [] plus_plus_int(A,B)=plus_plus_int(B,A).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,638,646] plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D))=plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D)).
% 5.99/6.05  ** KEPT (pick-wt=17): 653 [copy,652,flip.1] plus_plus_nat(times_times_nat(plus_plus_nat(A,B),C),D)=plus_plus_nat(times_times_nat(A,C),plus_plus_nat(times_times_nat(B,C),D)).
% 5.99/6.05  ---> New Demodulator: 654 [new_demod,653] plus_plus_nat(times_times_nat(plus_plus_nat(A,B),C),D)=plus_plus_nat(times_times_nat(A,C),plus_plus_nat(times_times_nat(B,C),D)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,638] plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=13): 655 [] times_times_nat(plus_plus_nat(A,B),C)=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 5.99/6.05  ---> New Demodulator: 656 [new_demod,655] times_times_nat(plus_plus_nat(A,B),C)=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=15): 658 [copy,657,flip.1] plus_plus_int(minus_minus_int(A,B),minus_minus_int(C,D))=minus_minus_int(plus_plus_int(A,C),plus_plus_int(B,D)).
% 5.99/6.05  ---> New Demodulator: 659 [new_demod,658] plus_plus_int(minus_minus_int(A,B),minus_minus_int(C,D))=minus_minus_int(plus_plus_int(A,C),plus_plus_int(B,D)).
% 5.99/6.05  ** KEPT (pick-wt=7): 660 [] minus_minus_int(plus_plus_int(A,B),B)=A.
% 5.99/6.05  ---> New Demodulator: 661 [new_demod,660] minus_minus_int(plus_plus_int(A,B),B)=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,638] plus_plus_int(times_times_int(A,B),times_times_int(C,B))=plus_plus_int(times_times_int(A,B),times_times_int(C,B)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,656] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B))=plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,638] plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,656] plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C))=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,636] plus_plus_int(times_times_int(A,B),times_times_int(A,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=13): 662 [] times_times_nat(A,plus_plus_nat(B,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 5.99/6.05  ---> New Demodulator: 663 [new_demod,662] times_times_nat(A,plus_plus_nat(B,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=15): 665 [copy,664,demod,646,646] plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))).
% 5.99/6.05  ** KEPT (pick-wt=15): 667 [copy,666,demod,648,648] plus_plus_nat(A,plus_plus_nat(B,plus_plus_nat(C,D)))=plus_plus_nat(A,plus_plus_nat(C,plus_plus_nat(B,D))).
% 5.99/6.05    Following clause subsumed by 649 during input processing: 0 [] times_times_int(A,B)=times_times_int(B,A).
% 5.99/6.05  ** KEPT (pick-wt=7): 668 [] times_times_nat(A,B)=times_times_nat(B,A).
% 5.99/6.05  ** KEPT (pick-wt=11): 669 [] times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 670 [] times_times_nat(A,times_times_nat(B,C))=times_times_nat(B,times_times_nat(A,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,642] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,644] times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,642] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,644] times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 672 [copy,671,demod,642,642] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)).
% 5.99/6.05  ** KEPT (pick-wt=11): 674 [copy,673,demod,644,644] times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(C,B)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,642] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(B,times_times_int(C,D))).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,644] times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(B,times_times_nat(C,D))).
% 5.99/6.05  ** KEPT (pick-wt=15): 676 [copy,675,demod,642,642] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))).
% 5.99/6.05  ** KEPT (pick-wt=15): 678 [copy,677,demod,644,644] times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(C,times_times_nat(A,times_times_nat(B,D))).
% 5.99/6.05  ** KEPT (pick-wt=15): 680 [copy,679,demod,642,642] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))).
% 5.99/6.05  ** KEPT (pick-wt=15): 682 [copy,681,demod,644,644] times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(C,times_times_nat(B,D))).
% 5.99/6.05    Following clause subsumed by 651 during input processing: 0 [] plus_plus_int(A,B)=plus_plus_int(B,A).
% 5.99/6.05  ** KEPT (pick-wt=7): 683 [] plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 5.99/6.05    Following clause subsumed by 650 during input processing: 0 [] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 684 [] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,646] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,648] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,646] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,648] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 5.99/6.05  ** KEPT (pick-wt=11): 686 [copy,685,demod,646,646] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)).
% 5.99/6.05  ** KEPT (pick-wt=11): 688 [copy,687,demod,648,648] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(C,B)).
% 5.99/6.05  ** KEPT (pick-wt=10): 690 [copy,689,flip.1] produc282740534nt_int($f20(A),product_Pair_int_int($f19(A),$f18(A)))=A.
% 5.99/6.05  ---> New Demodulator: 691 [new_demod,690] produc282740534nt_int($f20(A),product_Pair_int_int($f19(A),$f18(A)))=A.
% 5.99/6.05  ** KEPT (pick-wt=7): 693 [copy,692,flip.1] product_Pair_int_int($f22(A),$f21(A))=A.
% 5.99/6.05  ---> New Demodulator: 694 [new_demod,693] product_Pair_int_int($f22(A),$f21(A))=A.
% 5.99/6.05  ** KEPT (pick-wt=7): 696 [copy,695,flip.1] produc282740534nt_int($f24(A),$f23(A))=A.
% 5.99/6.05  ---> New Demodulator: 697 [new_demod,696] produc282740534nt_int($f24(A),$f23(A))=A.
% 5.99/6.05  ** KEPT (pick-wt=7): 699 [copy,698,flip.1] product_Pair_int_int($f26(A),$f25(A))=A.
% 5.99/6.05  ---> New Demodulator: 700 [new_demod,699] product_Pair_int_int($f26(A),$f25(A))=A.
% 5.99/6.05  ** KEPT (pick-wt=7): 702 [copy,701,flip.1] produc282740534nt_int($f28(A),$f27(A))=A.
% 5.99/6.05  ---> New Demodulator: 703 [new_demod,702] produc282740534nt_int($f28(A),$f27(A))=A.
% 5.99/6.05  ** KEPT (pick-wt=21): 705 [copy,704,demod,632,638,638,flip.1] minus_minus_int(plus_plus_int(times_times_int(A,A),times_times_int(one_one_int,A)),plus_plus_int(times_times_int(A,one_one_int),times_times_int(one_one_int,one_one_int)))=minus_minus_int(times_times_int(A,A),one_one_int).
% 5.99/6.05  ---> New Demodulator: 706 [new_demod,705] minus_minus_int(plus_plus_int(times_times_int(A,A),times_times_int(one_one_int,A)),plus_plus_int(times_times_int(A,one_one_int),times_times_int(one_one_int,one_one_int)))=minus_minus_int(times_times_int(A,A),one_one_int).
% 5.99/6.05  ** KEPT (pick-wt=15): 707 [] A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.99/6.05  ** KEPT (pick-wt=8): 708 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),plus_plus_int(A,one_one_int))).
% 5.99/6.05  ** KEPT (pick-wt=8): 709 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),plus_plus_nat(A,one_one_nat))).
% 5.99/6.05  ** KEPT (pick-wt=5): 710 [] times_times_int(one_one_int,A)=A.
% 5.99/6.05  ---> New Demodulator: 711 [new_demod,710] times_times_int(one_one_int,A)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 712 [] times_times_nat(one_one_nat,A)=A.
% 5.99/6.05  ---> New Demodulator: 713 [new_demod,712] times_times_nat(one_one_nat,A)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 714 [] times_times_int(A,one_one_int)=A.
% 5.99/6.05  ---> New Demodulator: 715 [new_demod,714] times_times_int(A,one_one_int)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 716 [] times_times_nat(A,one_one_nat)=A.
% 5.99/6.05  ---> New Demodulator: 717 [new_demod,716] times_times_nat(A,one_one_nat)=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,711] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,713] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,711] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,713] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,715] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,717] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,715] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,717] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,711] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,715] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,638,711,711] plus_plus_int(A,A)=plus_plus_int(A,A).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,656,713,713] plus_plus_nat(A,A)=plus_plus_nat(A,A).
% 5.99/6.05    Following clause subsumed by 683 during input processing: 0 [demod,656,713,flip.1] plus_plus_nat(times_times_nat(B,A),A)=plus_plus_nat(A,times_times_nat(B,A)).
% 5.99/6.05    Following clause subsumed by 651 during input processing: 0 [demod,638,711,flip.1] plus_plus_int(times_times_int(B,A),A)=plus_plus_int(A,times_times_int(B,A)).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,656,713] plus_plus_nat(times_times_nat(A,B),B)=plus_plus_nat(times_times_nat(A,B),B).
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,638,711] plus_plus_int(times_times_int(A,B),B)=plus_plus_int(times_times_int(A,B),B).
% 5.99/6.05  ** KEPT (pick-wt=6): 718 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),A)).
% 5.99/6.05  ** KEPT (pick-wt=6): 719 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),A)).
% 5.99/6.05    Following clause subsumed by 719 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),A)).
% 5.99/6.05  ** KEPT (pick-wt=12): 720 [] 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)).
% 5.99/6.05    Following clause subsumed by 707 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.99/6.05  ** KEPT (pick-wt=12): 721 [] 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)).
% 5.99/6.05    Following clause subsumed by 720 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)).
% 5.99/6.05    Following clause subsumed by 721 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)).
% 5.99/6.05    Following clause subsumed by 720 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)).
% 5.99/6.05  ** KEPT (pick-wt=15): 722 [] A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.05    Following clause subsumed by 707 during input processing: 0 [] A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.99/6.05    Following clause subsumed by 722 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))|A=B.
% 5.99/6.05    Following clause subsumed by 707 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))|A=B.
% 5.99/6.05    Following clause subsumed by 722 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.05    Following clause subsumed by 707 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.99/6.05    Following clause subsumed by 722 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.
% 5.99/6.05    Following clause subsumed by 707 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.
% 5.99/6.05    Following clause subsumed by 722 during input processing: 0 [] A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.05    Following clause subsumed by 707 during input processing: 0 [] A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.99/6.05    Following clause subsumed by 722 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.05    Following clause subsumed by 707 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.99/6.05  ** KEPT (pick-wt=12): 723 [] 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)).
% 5.99/6.05  ** KEPT (pick-wt=12): 724 [] 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)).
% 5.99/6.05    Following clause subsumed by 723 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)).
% 5.99/6.05    Following clause subsumed by 724 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)).
% 5.99/6.05    Following clause subsumed by 723 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)).
% 5.99/6.05    Following clause subsumed by 724 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)).
% 5.99/6.05    Following clause subsumed by 723 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)).
% 5.99/6.05    Following clause subsumed by 724 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)).
% 5.99/6.05    Following clause subsumed by 723 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)).
% 5.99/6.05    Following clause subsumed by 724 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)).
% 5.99/6.05  ** KEPT (pick-wt=5): 725 [] times_times_nat(zero_zero_nat,A)=zero_zero_nat.
% 5.99/6.05  ---> New Demodulator: 726 [new_demod,725] times_times_nat(zero_zero_nat,A)=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=5): 727 [] times_times_int(zero_zero_int,A)=zero_zero_int.
% 5.99/6.05  ---> New Demodulator: 728 [new_demod,727] times_times_int(zero_zero_int,A)=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=5): 729 [] times_times_nat(A,zero_zero_nat)=zero_zero_nat.
% 5.99/6.05  ---> New Demodulator: 730 [new_demod,729] times_times_nat(A,zero_zero_nat)=zero_zero_nat.
% 5.99/6.05  ** KEPT (pick-wt=5): 731 [] times_times_int(A,zero_zero_int)=zero_zero_int.
% 5.99/6.05  ---> New Demodulator: 732 [new_demod,731] times_times_int(A,zero_zero_int)=zero_zero_int.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,726] zero_zero_nat=zero_zero_nat.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,728] zero_zero_int=zero_zero_int.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,730] zero_zero_nat=zero_zero_nat.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,732] zero_zero_int=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=5): 733 [] plus_plus_nat(zero_zero_nat,A)=A.
% 5.99/6.05  ---> New Demodulator: 734 [new_demod,733] plus_plus_nat(zero_zero_nat,A)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 735 [] plus_plus_int(zero_zero_int,A)=A.
% 5.99/6.05  ---> New Demodulator: 736 [new_demod,735] plus_plus_int(zero_zero_int,A)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 737 [] plus_plus_nat(A,zero_zero_nat)=A.
% 5.99/6.05  ---> New Demodulator: 738 [new_demod,737] plus_plus_nat(A,zero_zero_nat)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 739 [] plus_plus_int(A,zero_zero_int)=A.
% 5.99/6.05  ---> New Demodulator: 740 [new_demod,739] plus_plus_int(A,zero_zero_int)=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,734] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,736] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,734] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,736] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,738] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,740] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,738] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,740] A=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 741 [] minus_minus_int(A,zero_zero_int)=A.
% 5.99/6.05  ---> New Demodulator: 742 [new_demod,741] minus_minus_int(A,zero_zero_int)=A.
% 5.99/6.05  ** KEPT (pick-wt=5): 743 [] minus_minus_int(A,A)=zero_zero_int.
% 5.99/6.05  ---> New Demodulator: 744 [new_demod,743] minus_minus_int(A,A)=zero_zero_int.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,740] A=A.
% 5.99/6.05    Following clause subsumed by 622 during input processing: 0 [demod,736] A=A.
% 5.99/6.05  ** KEPT (pick-wt=8): 745 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),times_times_int(A,A))).
% 5.99/6.05  ** KEPT (pick-wt=6): 746 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 5.99/6.05  ** KEPT (pick-wt=6): 747 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.99/6.05  ** KEPT (pick-wt=6): 748 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 5.99/6.05  ** KEPT (pick-wt=6): 749 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.99/6.05    Following clause subsumed by 749 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.99/6.05  ** KEPT (pick-wt=8): 750 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(one_one_nat,one_one_nat))).
% 5.99/6.05  ** KEPT (pick-wt=8): 751 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,one_one_int))).
% 5.99/6.05  ** KEPT (pick-wt=15): 752 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(A,A),times_times_int(B,B))))|A=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=15): 753 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(A,A),times_times_int(B,B))))|B=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=12): 754 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),plus_plus_int(times_times_int(A,A),times_times_int(B,B)))).
% 5.99/6.05    Following clause subsumed by 719 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 5.99/6.05  ** KEPT (pick-wt=13): 755 [] xzgcd(A,B)=xzgcda(A,B,A,B,one_one_int,zero_zero_int,zero_zero_int,one_one_int).
% 5.99/6.05  ---> New Demodulator: 756 [new_demod,755] xzgcd(A,B)=xzgcda(A,B,A,B,one_one_int,zero_zero_int,zero_zero_int,one_one_int).
% 5.99/6.05    Following clause subsumed by 747 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.99/6.05  ** KEPT (pick-wt=11): 757 [] A=zero_zero_int|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(zero_zero_int,A),product_Pair_int_int(zero_zero_int,zero_zero_int))).
% 5.99/6.05  ** KEPT (pick-wt=11): 758 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|nat_tsub(B,A)=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=15): 760 [copy,759,flip.2] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))|times_times_int(A,zfact(minus_minus_int(A,one_one_int)))=zfact(A).
% 5.99/6.05  ** KEPT (pick-wt=4): 761 [] abs_abs_int(zero_zero_int)=zero_zero_int.
% 5.99/6.05  ---> New Demodulator: 762 [new_demod,761] abs_abs_int(zero_zero_int)=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=7): 763 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),abs_abs_int(A))).
% 5.99/6.05  ** KEPT (pick-wt=10): 764 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),abs_abs_int(A)))|A=zero_zero_int.
% 5.99/6.05  ** KEPT (pick-wt=13): 765 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(plus_plus_int(A,B))),plus_plus_int(abs_abs_int(A),abs_abs_int(B)))).
% 5.99/6.05  ** KEPT (pick-wt=14): 766 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(abs_abs_int(A),abs_abs_int(B)))),abs_abs_int(minus_minus_int(A,B)))).
% 5.99/6.05  ** KEPT (pick-wt=13): 767 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(abs_abs_int(A),abs_abs_int(B))),abs_abs_int(minus_minus_int(A,B)))).
% 5.99/6.05  ** KEPT (pick-wt=13): 768 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,minus_minus_int(abs_abs_int(A),abs_abs_int(B))),abs_abs_int(minus_minus_int(B,A)))).
% 5.99/6.05  ** KEPT (pick-wt=7): 769 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),abs_abs_int(A))).
% 5.99/6.05  ** KEPT (pick-wt=10): 770 [] abs_abs_int(times_times_int(A,B))=times_times_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.05  ---> New Demodulator: 771 [new_demod,770] abs_abs_int(times_times_int(A,B))=times_times_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.05  ** KEPT (pick-wt=9): 772 [] times_times_int(abs_abs_int(A),abs_abs_int(A))=times_times_int(A,A).
% 5.99/6.05  ---> New Demodulator: 773 [new_demod,772] times_times_int(abs_abs_int(A),abs_abs_int(A))=times_times_int(A,A).
% 5.99/6.05  ** KEPT (pick-wt=12): 774 [] abs_abs_int(plus_plus_int(abs_abs_int(A),abs_abs_int(B)))=plus_plus_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.05  ---> New Demodulator: 775 [new_demod,774] abs_abs_int(plus_plus_int(abs_abs_int(A),abs_abs_int(B)))=plus_plus_int(abs_abs_int(A),abs_abs_int(B)).
% 5.99/6.05  ** KEPT (pick-wt=4): 776 [] abs_abs_int(one_one_int)=one_one_int.
% 5.99/6.05  ---> New Demodulator: 777 [new_demod,776] abs_abs_int(one_one_int)=one_one_int.
% 5.99/6.05  ** KEPT (pick-wt=9): 778 [] abs_abs_int(minus_minus_int(A,B))=abs_abs_int(minus_minus_int(B,A)).
% 5.99/6.05  ** KEPT (pick-wt=6): 779 [] abs_abs_int(abs_abs_int(A))=abs_abs_int(A).
% 5.99/6.05  ---> New Demodulator: 780 [new_demod,779] abs_abs_int(abs_abs_int(A))=abs_abs_int(A).
% 5.99/6.05  ** KEPT (pick-wt=21): 781 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(plus_plus_int(A,B),plus_plus_int(C,D)))),plus_plus_int(abs_abs_int(minus_minus_int(A,C)),abs_abs_int(minus_minus_int(B,D))))).
% 5.99/6.05  ** KEPT (pick-wt=13): 782 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(minus_minus_int(A,B))),plus_plus_int(abs_abs_int(A),abs_abs_int(B)))).
% 5.99/6.05  ** KEPT (pick-wt=7): 783 [] posDivAlg(zero_zero_int,A)=product_Pair_int_int(zero_zero_int,zero_zero_int).
% 5.99/6.06  ** KEPT (pick-wt=12): 785 [copy,784,flip.2] A=zero_zero_int|posDivAlg(abs_abs_int(B),abs_abs_int(A))=pdivmod(B,A).
% 5.99/6.06  ** KEPT (pick-wt=14): 787 [copy,786,flip.2] A=zero_zero_nat|plus_plus_nat(B,times_times_nat(minus_minus_nat(A,one_one_nat),B))=times_times_nat(A,B).
% 5.99/6.06  ** KEPT (pick-wt=6): 788 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A)).
% 5.99/6.06    Following clause subsumed by 668 during input processing: 0 [] times_times_nat(A,B)=times_times_nat(B,A).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,644] times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 5.99/6.06  ** KEPT (pick-wt=13): 789 [] times_times_nat(minus_minus_nat(A,B),C)=minus_minus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 5.99/6.06  ---> New Demodulator: 790 [new_demod,789] times_times_nat(minus_minus_nat(A,B),C)=minus_minus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 5.99/6.06  ** KEPT (pick-wt=11): 791 [] minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(minus_minus_nat(A,C),B).
% 5.99/6.06  ** KEPT (pick-wt=13): 792 [] times_times_nat(A,minus_minus_nat(B,C))=minus_minus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 5.99/6.06  ---> New Demodulator: 793 [new_demod,792] times_times_nat(A,minus_minus_nat(B,C))=minus_minus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,726] zero_zero_nat=zero_zero_nat.
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,730] zero_zero_nat=zero_zero_nat.
% 5.99/6.06  ** KEPT (pick-wt=5): 794 [] minus_minus_nat(A,A)=zero_zero_nat.
% 5.99/6.06  ---> New Demodulator: 795 [new_demod,794] minus_minus_nat(A,A)=zero_zero_nat.
% 5.99/6.06  ** KEPT (pick-wt=5): 796 [] minus_minus_nat(A,zero_zero_nat)=A.
% 5.99/6.06  ---> New Demodulator: 797 [new_demod,796] minus_minus_nat(A,zero_zero_nat)=A.
% 5.99/6.06  ** KEPT (pick-wt=5): 798 [] minus_minus_nat(zero_zero_nat,A)=zero_zero_nat.
% 5.99/6.06  ---> New Demodulator: 799 [new_demod,798] minus_minus_nat(zero_zero_nat,A)=zero_zero_nat.
% 5.99/6.06    Following clause subsumed by 722 during input processing: 0 [] A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.06    Following clause subsumed by 722 during input processing: 0 [] A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.06    Following clause subsumed by 722 during input processing: 0 [factor_simp] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.99/6.06    Following clause subsumed by 683 during input processing: 0 [] plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 5.99/6.06    Following clause subsumed by 684 during input processing: 0 [] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,663] plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,648] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,656] plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C))=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 5.99/6.06  ** KEPT (pick-wt=11): 800 [] minus_minus_nat(plus_plus_nat(A,B),plus_plus_nat(C,B))=minus_minus_nat(A,C).
% 5.99/6.06  ---> New Demodulator: 801 [new_demod,800] minus_minus_nat(plus_plus_nat(A,B),plus_plus_nat(C,B))=minus_minus_nat(A,C).
% 5.99/6.06  ** KEPT (pick-wt=11): 802 [] minus_minus_nat(plus_plus_nat(A,B),plus_plus_nat(A,C))=minus_minus_nat(B,C).
% 5.99/6.06  ---> New Demodulator: 803 [new_demod,802] minus_minus_nat(plus_plus_nat(A,B),plus_plus_nat(A,C))=minus_minus_nat(B,C).
% 5.99/6.06  ** KEPT (pick-wt=11): 804 [] minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(A,plus_plus_nat(B,C)).
% 5.99/6.06  ** KEPT (pick-wt=7): 805 [] minus_minus_nat(plus_plus_nat(A,B),A)=B.
% 5.99/6.06  ---> New Demodulator: 806 [new_demod,805] minus_minus_nat(plus_plus_nat(A,B),A)=B.
% 5.99/6.06  ** KEPT (pick-wt=7): 807 [] minus_minus_nat(plus_plus_nat(A,B),B)=A.
% 5.99/6.06  ---> New Demodulator: 808 [new_demod,807] minus_minus_nat(plus_plus_nat(A,B),B)=A.
% 5.99/6.06  ** KEPT (pick-wt=8): 809 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,minus_minus_nat(A,B)),A)).
% 5.99/6.06    Following clause subsumed by 718 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),A)).
% 5.99/6.06    Following clause subsumed by 721 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)).
% 5.99/6.06  ** KEPT (pick-wt=10): 810 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),times_times_nat(A,times_times_nat(A,A)))).
% 5.99/6.06  ** KEPT (pick-wt=8): 811 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),times_times_nat(A,A))).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,713] A=A.
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,717] A=A.
% 5.99/6.06  ** KEPT (pick-wt=9): 812 [] A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.99/6.06    Following clause subsumed by 812 during input processing: 0 [] A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,734] A=A.
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [demod,738] A=A.
% 5.99/6.06  ** KEPT (pick-wt=7): 813 [] minus_minus_nat(A,plus_plus_nat(A,B))=zero_zero_nat.
% 5.99/6.06  ---> New Demodulator: 814 [new_demod,813] minus_minus_nat(A,plus_plus_nat(A,B))=zero_zero_nat.
% 5.99/6.06    Following clause subsumed by 788 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A)).
% 5.99/6.06  ** KEPT (pick-wt=13): 815 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|plus_plus_nat(B,minus_minus_nat(A,B))=A.
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [copy,622,flip.1] A=A.
% 5.99/6.06  622 back subsumes 619.
% 5.99/6.06  622 back subsumes 618.
% 5.99/6.06  622 back subsumes 603.
% 5.99/6.06  622 back subsumes 602.
% 5.99/6.06  622 back subsumes 600.
% 5.99/6.06  622 back subsumes 576.
% 5.99/6.06  622 back subsumes 574.
% 5.99/6.06  622 back subsumes 478.
% 5.99/6.06  622 back subsumes 477.
% 5.99/6.06    Following clause subsumed by 622 during input processing: 0 [copy,627,flip.1,demod,636,634,642,634,642,659] minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(C,D)),plus_plus_int(times_times_int(E,times_times_int(F,B)),times_times_int(E,times_times_int(G,D))))=minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(C,D)),plus_plus_int(times_times_int(E,times_times_int(F,B)),times_times_int(E,times_times_int(G,D)))).
% 5.99/6.06  >>>> Starting back demodulation with 630.
% 5.99/6.06  >>>> Starting back demodulation with 632.
% 5.99/6.06      >> back demodulating 629 with 632.
% 5.99/6.06  >>>> Starting back demodulation with 634.
% 5.99/6.06      >> back demodulating 627 with 634.
% 5.99/6.06      >> back demodulating 48 with 634.
% 5.99/6.06      >> back demodulating 47 with 634.
% 5.99/6.06      >> back demodulating 46 with 634.
% 5.99/6.06      >> back demodulating 45 with 634.
% 5.99/6.06      >> back demodulating 44 with 634.
% 5.99/6.06      >> back demodulating 43 with 634.
% 5.99/6.06      >> back demodulating 42 with 634.
% 5.99/6.06      >> back demodulating 41 with 634.
% 5.99/6.06      >> back demodulating 4 with 634.
% 5.99/6.06      >> back demodulating 3 with 634.
% 5.99/6.06      >> back demodulating 2 with 634.
% 5.99/6.06      >> back demodulating 1 with 634.
% 5.99/6.06  >>>> Starting back demodulation with 636.
% 5.99/6.06  >>>> Starting back demodulation with 638.
% 5.99/6.06      >> back demodulating 402 with 638.
% 5.99/6.06      >> back demodulating 382 with 638.
% 5.99/6.06  >>>> Starting back demodulation with 640.
% 5.99/6.06  >>>> Starting back demodulation with 642.
% 5.99/6.06  >>>> Starting back demodulation with 644.
% 5.99/6.06  >>>> Starting back demodulation with 646.
% 5.99/6.06      >> back demodulating 570 with 646.
% 5.99/6.06      >> back demodulating 317 with 646.
% 5.99/6.06      >> back demodulating 316 with 646.
% 5.99/6.06      >> back demodulating 281 with 646.
% 5.99/6.06  >>>> Starting back demodulation with 648.
% 5.99/6.06    Following clause subsumed by 649 during input processing: 0 [copy,649,flip.1] times_times_int(A,B)=times_times_int(B,A).
% 5.99/6.06    Following clause subsumed by 650 during input processing: 0 [copy,650,flip.1] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 5.99/6.06    Following clause subsumed by 651 during input processing: 0 [copy,651,flip.1] plus_plus_int(A,B)=plus_plus_int(B,A).
% 5.99/6.06  >>>> Starting back demodulation with 654.
% 5.99/6.06  >>>> Starting back demodulation with 656.
% 5.99/6.06      >> back demodulating 653 with 656.
% 5.99/6.06  >>>> Starting back demodulation with 659.
% 5.99/6.06  >>>> Starting back demodulation with 661.
% 5.99/6.06  >>>> Starting back demodulation with 663.
% 5.99/6.06    Following clause subsumed by 665 during input processing: 0 [copy,665,flip.1] plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))).
% 5.99/6.06    Following clause subsumed by 667 during input processing: 0 [copy,667,flip.1] plus_plus_nat(A,plus_plus_nat(B,plus_plus_nat(C,D)))=plus_plus_nat(A,plus_plus_nat(C,plus_plus_nat(B,D))).
% 5.99/6.06    Following clause subsumed by 668 during input processing: 0 [copy,668,flip.1] times_times_nat(A,B)=times_times_nat(B,A).
% 5.99/6.06    Following clause subsumed by 669 during input processing: 0 [copy,669,flip.1] times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)).
% 5.99/6.06    Following clause subsumed by 670 during input processing: 0 [copy,670,flip.1] times_times_nat(A,times_times_nat(B,C))=times_times_nat(B,times_times_nat(A,C)).
% 5.99/6.06    Following clause subsumed by 672 during input processing: 0 [copy,672,flip.1] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)).
% 5.99/6.06    Following clause subsumed by 674 during input processing: 0 [copy,674,flip.1] times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(C,B)).
% 5.99/6.06  ** KEPT (pick-wt=15): 836 [copy,676,flip.1] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(B,times_times_int(C,times_times_int(A,D))).
% 5.99/6.06  ** KEPT (pick-wt=15): 837 [copy,678,flip.1] times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(B,times_times_nat(C,times_times_nat(A,D))).
% 5.99/6.06    Following clause subsumed by 680 during input processing: 0 [copy,680,flip.1] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))).
% 5.99/6.06    Following clause subsumed by 682 during input processing: 0 [copy,682,flip.1] times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(C,times_times_nat(B,D))).
% 5.99/6.06    Following clause subsumed by 683 during input processing: 0 [copy,683,flip.1] plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 5.99/6.06    Following clause subsumed by 684 during input processing: 0 [copy,684,flip.1] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 5.99/6.06    Following clause subsumed by 686 during input processing: 0 [copy,686,flip.1] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)).
% 5.99/6.06    Following clause subsumed by 688 during input processing: 0 [copy,688,flip.1] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(C,B)).
% 5.99/6.06  >>>> Starting back demodulation with 691.
% 5.99/6.06  >>>> Starting back demodulation with 694.
% 5.99/6.06  >>>> Starting back demodulation with 697.
% 5.99/6.06  >>>> Starting back demodulation with 700.
% 5.99/6.06  >>>> Starting back demodulation with 703.
% 5.99/6.06  >>>> Starting back demodulation with 706.
% 5.99/6.06  >>>> Starting back demodulation with 711.
% 5.99/6.06      >> back demodulating 705 with 711.
% 5.99/6.06      >> back demodulating 543 with 711.
% 5.99/6.06  >>>> Starting back demodulation with 713.
% 5.99/6.06  >>>> Starting back demodulation with 715.
% 5.99/6.06      >> back demodulating 542 with 715.
% 5.99/6.06  >>>> Starting back demodulation with 717.
% 5.99/6.06  718 back subsumes 605.
% 5.99/6.06  719 back subsumes 509.
% 5.99/6.06  719 back subsumes 508.
% 5.99/6.06  719 back subsumes 507.
% 5.99/6.06  719 back subsumes 504.
% 5.99/6.06  719 back subsumes 482.
% 5.99/6.06  719 back subsumes 481.
% 5.99/6.06  719 back subsumes 480.
% 5.99/6.06  719 back subsumes 479.
% 5.99/6.06  720 back subsumes 217.
% 5.99/6.06  720 back subsumes 214.
% 5.99/6.06  720 back subsumes 213.
% 5.99/6.06  720 back subsumes 210.
% 5.99/6.06  720 back subsumes 163.
% 5.99/6.06  723 back subsumes 140.
% 5.99/6.06  724 back subsumes 141.
% 5.99/6.06  >>>> Starting back demodulation with 726.
% 5.99/6.06      >> back demodulating 599 with 726.
% 5.99/6.06      >> back demodulating 537 with 726.
% 5.99/6.06      >> back demodulating 531 with 726.
% 5.99/6.06      >> back demodulating 514 with 726.
% 5.99/6.06      >> back demodulating 487 with 726.
% 5.99/6.06  >>>> Starting back demodulation with 728.
% 5.99/6.06      >> back demodulating 539 with 728.
% 5.99/6.06      >> back demodulating 532 with 728.
% 5.99/6.06      >> back demodulating 524 with 728.
% 5.99/6.06      >> back demodulating 523 with 728.
% 5.99/6.06      >> back demodulating 519 with 728.
% 5.99/6.06      >> back demodulating 515 with 728.
% 5.99/6.06      >> back demodulating 511 with 728.
% 5.99/6.06      >> back demodulating 502 with 728.
% 5.99/6.06      >> back demodulating 500 with 728.
% 5.99/6.06      >> back demodulating 493 with 728.
% 5.99/6.06      >> back demodulating 492 with 728.
% 5.99/6.06      >> back demodulating 488 with 728.
% 5.99/6.06  >>>> Starting back demodulation with 730.
% 5.99/6.06      >> back demodulating 598 with 730.
% 5.99/6.06      >> back demodulating 538 with 730.
% 5.99/6.06      >> back demodulating 529 with 730.
% 5.99/6.06      >> back demodulating 527 with 730.
% 5.99/6.06      >> back demodulating 512 with 730.
% 5.99/6.06  >>>> Starting back demodulation with 732.
% 5.99/6.06      >> back demodulating 616 with 732.
% 5.99/6.06      >> back demodulating 615 with 732.
% 5.99/6.06      >> back demodulating 614 with 732.
% 5.99/6.06      >> back demodulating 612 with 732.
% 5.99/6.06      >> back demodulating 611 with 732.
% 5.99/6.06      >> back demodulating 549 with 732.
% 5.99/6.06      >> back demodulating 548 with 732.
% 5.99/6.06      >> back demodulating 547 with 732.
% 5.99/6.06      >> back demodulating 546 with 732.
% 5.99/6.06      >> back demodulating 540 with 732.
% 5.99/6.06      >> back demodulating 530 with 732.
% 5.99/6.06      >> back demodulating 528 with 732.
% 5.99/6.06      >> back demodulating 522 with 732.
% 5.99/6.06      >> back demodulating 521 with 732.
% 5.99/6.06      >> back demodulating 520 with 732.
% 5.99/6.06      >> back demodulating 513 with 732.
% 5.99/6.06      >> back demodulating 510 with 732.
% 5.99/6.06      >> back demodulating 501 with 732.
% 5.99/6.06      >> back demodulating 499 with 732.
% 5.99/6.06      >> back demodulating 497 with 732.
% 5.99/6.06      >> back demodulating 494 with 732.
% 5.99/6.06  >>>> Starting back demodulation with 734.
% 5.99/6.06  >>>> Starting back demodulation with 736.
% 5.99/6.06      >> back demodulating 551 with 736.
% 5.99/6.06  >>>> Starting back demodulation with 738.
% 5.99/6.06  >>>> Starting back demodulation with 740.
% 5.99/6.06      >> back demodulating 617 with 740.
% 5.99/6.06      >> back demodulating 572 with 740.
% 5.99/6.06      >> back demodulating 556 with 740.
% 5.99/6.06      >> back demodulating 553 with 740.
% 5.99/6.06      >> back demodulating 552 with 740.
% 5.99/6.06  >>>> Starting back demodulation with 742.
% 5.99/6.06  >>>> Starting back demodulation with 744.
% 5.99/6.06  745 back subsumes 490.
% 5.99/6.06  745 back subsumes 489.
% 5.99/6.06  >>>> Starting back demodulation with 756.
% 5.99/6.06      >> back demodulating 330 with 756.
% 5.99/6.06  >>>> Starting back demodulation with 762.
% 5.99/6.06  >>>> Starting back demodulation with 771.
% 5.99/6.06      >> back demodulating 593 with 771.
% 5.99/6.06      >> back demodulating 592 with 771.
% 5.99/6.06      >> back demodulating 399 with 771.
% 5.99/6.06      >> back demodulating 398 with 771.
% 5.99/6.06      >> back demodulating 397 with 771.
% 5.99/6.06      >> back demodulating 396 with 771.
% 5.99/6.06      >> back demodulating 395 with 771.
% 5.99/6.06      >> back demodulating 392 with 771.
% 5.99/6.06  >>>> Starting back demodulation with 773.
% 5.99/6.06      >> back demodulating 591 with 773.
% 5.99/6.06  >>>> Starting back demodulation with 775.
% 5.99/6.06  >>>> Starting back demodulation with 777.
% 5.99/6.06    Following clause subsumed by 778 during input processing: 0 [copy,778,flip.1] abs_abs_int(minus_minus_int(A,B))=abs_abs_int(minus_minus_int(B,A)).
% 5.99/6.06  >>>> Starting back demodulation with 780.
% 5.99/6.06  ** KEPT (pick-wt=7): 866 [copy,783,flip.1] product_Pair_int_int(zero_zero_int,zero_zero_int)=posDivAlg(zero_zero_int,A).
% 5.99/6.06  788 back subsumes 746.
% 5.99/6.06  788 back subsumes 526.
% 5.99/6.06  788 back subsumes 503.
% 5.99/6.06  788 back subsumes 209.
% 5.99/6.06  >>>> Starting back demodulation with 790.
% 5.99/6.06      >> back demodulating 787 with 790.
% 5.99/6.06    Following clause subsumed by 791 during input processing: 0 [copy,791,flip.1] minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(minus_minus_nat(A,C),B).
% 5.99/6.06  >>>> Starting back demodulation with 793.
% 5.99/6.06  >>>> Starting back demodulation with 795.
% 5.99/6.06      >> back demodulating 608 with 795.
% 5.99/6.06      >> back demodulating 604 with 795.
% 5.99/6.06      >> back demodulating 601 with 795.
% 5.99/6.06  >>>> Starting back demodulation with 797.
% 5.99/6.06  >>>> Starting back demodulation with 799.
% 5.99/6.06  >>>> Starting back demodulation with 801.
% 5.99/6.06  >>>> Starting back demodulation with 803.
% 5.99/6.06  ** KEPT (pick-wt=11): 868 [copy,804,flip.1] minus_minus_nat(A,plus_plus_nat(B,C))=minus_minus_nat(minus_minus_nat(A,B),C).
% 5.99/6.06  >>>> Starting back demodulation with 806.
% 5.99/6.06  >>>> Starting back demodulation with 808.
% 5.99/6.06  >>>> Starting back demodulation with 814.
% 5.99/6.06  >>>> Starting back demodulation with 817.
% 5.99/6.06    Following clause subsumed by 676 during input processing: 0 [copy,836,flip.1] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))).
% 17.61/17.66    Following clause subsumed by 678 during input processing: 0 [copy,837,flip.1] times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(C,times_times_nat(A,times_times_nat(B,D))).
% 17.61/17.66  >>>> Starting back demodulation with 839.
% 17.61/17.66  840 back subsumes 234.
% 17.61/17.66    Following clause subsumed by 783 during input processing: 0 [copy,866,flip.1] posDivAlg(zero_zero_int,A)=product_Pair_int_int(zero_zero_int,zero_zero_int).
% 17.61/17.66    Following clause subsumed by 804 during input processing: 0 [copy,868,flip.1] minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(A,plus_plus_nat(B,C)).
% 17.61/17.66  
% 17.61/17.66  ======= end of input processing =======
% 17.61/17.66  
% 17.61/17.66  =========== start of search ===========
% 17.61/17.66  
% 17.61/17.66  
% 17.61/17.66  Resetting weight limit to 5.
% 17.61/17.66  
% 17.61/17.66  
% 17.61/17.66  Resetting weight limit to 5.
% 17.61/17.66  
% 17.61/17.66  sos_size=164
% 17.61/17.66  
% 17.61/17.66  Search stopped because sos empty.
% 17.61/17.66  
% 17.61/17.66  
% 17.61/17.66  Search stopped because sos empty.
% 17.61/17.66  
% 17.61/17.66  ============ end of search ============
% 17.61/17.66  
% 17.61/17.66  -------------- statistics -------------
% 17.61/17.66  clauses given                179
% 17.61/17.66  clauses generated         499122
% 17.61/17.66  clauses kept                 783
% 17.61/17.66  clauses forward subsumed   14742
% 17.61/17.66  clauses back subsumed         52
% 17.61/17.66  Kbytes malloced            11718
% 17.61/17.66  
% 17.61/17.66  ----------- times (seconds) -----------
% 17.61/17.66  user CPU time         11.79          (0 hr, 0 min, 11 sec)
% 17.61/17.66  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 17.61/17.66  wall-clock time       18             (0 hr, 0 min, 18 sec)
% 17.61/17.66  
% 17.61/17.66  Process 13193 finished Wed Jul 27 09:48:59 2022
% 17.61/17.66  Otter interrupted
% 17.61/17.66  PROOF NOT FOUND
%------------------------------------------------------------------------------